Tuesday, August 16, 2016

Points in Networks (Day 1)

So, what was my first day of school like, you ask? Well, let's first look at today's Blaugust prompt:

16. A  mentor/colleague who impacted your classroom/teaching…

Well, as a first-year math and science teacher, I ought to say that the other math and science teachers at my school are my mentors. But unfortunately, I'm the only math and science teacher here. But at least the other middle school teachers -- one history, the other English -- were somewhat like my mentors, especially on the first day of school.

The history teacher taught at my school last year, so he already knows the school -- and he also knew the names of many of the returning students. The English teacher is also new, but she at least has some teaching experience at another school. Pay attention to the impact my fellow middle school teachers had on my first day of school. I'll post just the basics of what my day was like except for the point where I met my eighth grade class, since this is where I want to focus.

7:45 -- I arrive at my school.

8:00 -- I report to the playground, where many students are beginning to arrive. The students are told to gather in a circle for the flag salute.

8:25 -- My first class, a sixth grade class, begins. There are 18 students in this class. Most of the students behave well. One student is a Spanish speaker who knows very little English, but fortunately another student volunteered to translate for him. As a teacher, I know how important it is to provide alternate material for English learners.

9:45 -- My sixth graders leave and my seventh graders arrive. To our surprise, there are a whopping 25 students in this class. I know -- this is still quite small by the standards of public schools, where there are often 30, 35, or even 40 students in one class. But by our charter school standards, this is large, considering that there are only 24 seats in the classroom. This is the class with which I struggle the most with classroom management -- the history teacher warned me that every 7th grader is either one he remembers as a troublemaker last year, or a newly enrolled student!

11:05 -- My seventh graders leave for nutrition.

11:25 -- My eighth grade class arrives. This is my smallest class, with only 12 students -- but there are only eight students present at the start of class. I begin the class the same way I start all my classes, with a Warm-Up question:

What is 2 * 2 * 2 * 2? (That is, 2 times 2 times 2 times 2.)

Most students answer correctly, although a few tried to add. A student or two is upset that the very first thing we do on the first day of school is multiply. I point out that the answer is 16 -- and that today is the 16th. I always go around to stamp correct papers -- many teachers point out that students enjoy getting stamps, and my students are no exception.

11:35 -- My student support aide arrives -- the English teacher and I are each assigned one. Actually, she arrives with the four missing students, all girls.

We move on to an Opening Activity -- the Konigsberg Bridge Problem. I've written about this problem previously on the blog and even suggested it as a first day of school activity -- well, now I'm finally giving the activity on an actual first day of school. This is a little of what I said about this problem here on the blog:

The Königsberg Bridge Problem is a famous math problem from nearly 300 years ago. Fawn Nguyen, a well-known math blogger and fellow Southern Californian -- she lives in Ventura County -- used this as an activity in her geometry class:

http://fawnnguyen.com/famous-bridge-problem/

As we all know, the Königsberg Bridge Problem is impossible to solve -- it has no solution. But I don't want to start the class with a problem that the students can't solve -- they're already frustrated enough with problems that do have solutions when they just can't find them.

The whole point of this lesson is to point out that students should look for patterns, and that sometimes it's just as important to know why something is impossible as it is to know why something is possible.

Let me complete this with a note on pronunciation. The U of Chicago text points out that the name Euler ends up sounding like "Oiler." But how does one go about pronouncing the name Königsberg? I once read that the o-umlaut ends up sounding like "uh," almost like "ur." A Google search reveals a ten-second video in which this name is pronounced:




By the way. some students believe that they have a solution to the Konigsberg problem, but actually they are crossing one of the bridges twice (they start on island D, cross the bridge towards C, but then head back to D). I start to explain about Euler and why the problem is impossible -- and as I do so, the student who earlier complained about 2 * 2 * 2 * 2 figures out that the impossibility has to do with there being an odd number of bridges from each land! I'm impressed!

12:05 -- Because I know how tough the 80-minute block schedule can be on middle school students, I provide a music break. I get out my guitar and I play the following inspirational song:

The Dren Song -- by Mr. Walker

I don't know why I take math.
I'm all caught up in its wrath.
I'd rather just be a dren.
I would be so happy then.
Tell me what would happen when,
I'm no longer just a dren.
What if I were great at math?
What would be my future path?
Customers won't think it's strange,
When I figure out their change.
Algebra and calculus,
Get me in a cool college.
Once I finish my degree,
Future employers will see,
Of my strong background in STEM.
I know that will impress them.
Reach the moon, be a hero!
I won't just be a zero!
I'll be great, or it may seem,
That this all is just a dream,
'Cause my math skills are so bad.
I can't subtract! I can't add!
I can't multiply by ten.
I will always be a dren.
Now I know why I take math.
Help me find a better path!
I would be so happy then.
But I'm just a dren.

Along the way, I explain that a "dren" is a reverse-nerd -- a nerd is someone who's good at math, and a "dren" is someone who doesn't understand the basics of arithmetic. As it turns out, the student who complained about 2 * 2 * 2 * 2 enjoys this song and looks forward to my next song.

I show my students the September 2015 Boys' Life article about the mathematicians and scientists who work for NASA and the possible future of people traveling to and living on the moon. But as it turns out, eight of the 12 students in my class are girls, so I don't expect Boys' Life to motivate them.

Instead, I tell them about the movie trailer that was released just yesterday -- Hidden Figures, about the scientist Katherine Johnson who worked for NASA and the Apollo projects in the 1960's. For those of you who have read my blog before, it goes without saying that I plan on watching this movie, and I highly recommend that my students watch it in January as well.

12:15 -- I proceed with my next Opening Day activity -- Personality Coordinates. This activity comes from the King of the MTBoS, Dan Meyer:

http://blog.mrmeyer.com/2013/personality-coordinates-icebreaker/

Each person in a group picks a dot and writes her name next to it.
Now the group’s job is to label the axes. Physical attributes don’t require all that much thought and don’t reveal all that much, so don’t allow them.
That’s it. It requires a surprising amount of creativity and conversation. Happy first day of school, teachers.

12:30 -- My support aide leaves, and this is a good time to end the period with an Exit Pass:
If you don't know the answer, ..
The answer is "at least know where to find it," which is posted in a corner of the room. (I mentioned this in an earlier blog post.) Some wrong answers are "ask the teacher" and "you're a dren."
12:45 -- My eighth grade class goes out to lunch.

1:35 -- My sixth grade class returns for a special "Math Intervention" class. There is special software for this class, but I spend the entire period acquainting the students with the laptops, including making sure that the students all have the correct password.

2:35 -- My sixth graders go out to P.E. class. The history teacher, English teacher, and I watch as we discuss our plans for the next day. The English teacher comes up with the idea of having the students come up with rules on the posters.

4:00 -- I go home for the day and head for my computer to type up this blog entry.

If there's anything I could change about the way I ran the class today, it would be to teach the entire class in reverse order. That way, the Exit Pass becomes a Warm-Up, a scavenger hunt to find the rest of the quote, Personality Quotes occur earlier in the class, and the 2 * 2 * 2 * 2 question doesn't turn off students right at the start of the period.

I would also rewrite the Konigsberg worksheet. I'd already changed the worksheet to add more bridge problems, including some trivial ones. But now I'd number those trivial problems #1 and #2 (rather than #3 and #4, as they were numbered today).

Another problem I have has to do with explaining my directions clearly. I was hoping to create a seating chart directly from the Personality Coordinates worksheet (since the students are already seated in groups of four), but I couldn't because some groups randomly labeled the dots rather than place the student sitting northwest in the upper-left corner of the page. Also, some students wrote the Exit Pass on a separate sheet of paper rather than the back of the Warm-Up.

I remember explaining my directions to the students -- but I could be remembering my explanations to the 6th and 7th grade classes, not the 8th grade class. Anyway, I know that I don't always explain instructions clearly to my students from my days as a sub, so I must give the students the benefit of the doubt whenever I see them misinterpreting instructions.

Here is a copy of the Konigsberg worksheet as I actually gave it in class today. Again, I point out that there are still ways that I can improve this worksheet.

And thus ends my first day of school. Today I am a teacher.




Friday, August 12, 2016

Disclaimer

This will be my final post of the summer before school begins next week. There are a few things that I want to clear up here first.

Table of Contents
1. Disclaimer
2. Blaugust Prompt #12
3. A PD Day: More on the Illinois State Text
4. More on Grading and Pacing
5. A Tentative Testing Schedule
6. Conclusion

Disclaimer

I speak for myself only. This blog is not affiliated with any school, district, company, or organization.

Notice that I don't mention the name of my charter school in any post in order to avoid any semblance of conflict of interest. I do mention the LAUSD (Los Angeles Unified School District) in some of my posts, but officially, my sole employer is my charter school, not LAUSD. In any case, this blog is not affiliated with LAUSD.

Blaugust Prompt #12

Since today is August 12th, I will discuss Prompt #12 from the Blaugust list:

12. Something I read/learned this summer that intrigued me…

Earlier, I mentioned The First Days of School, by Harry and Rosemary Wong. Here is a key chapter that I read:

-- Chapter 3: How You Can Be a Happy First-Year Teacher. The Wongs write:

The first day of school or a class -- even the first few minutes -- will make or break a teacher. It is those first few minutes and first few days of school that are the subject of this book.

A PD Day: More on the Illinois State Text

Earlier this week, there was a special training session. I met Dr. Brad Christensen, a STEM specialist from Illinois State -- and he was obviously at our school to discuss the Illinois State text during a Professional Development session.

As I explained earlier on the blog, the Illinois State text is a strong project-based curriculum. During the session, Dr. Christensen demonstrated two math projects that are similar to those that can be found in the text. The first involved using dowel rods and rubber bands to construct as tall a structure as possible. The other was a method of estimating square roots using colored squares.

Back in my Square Root Day post (dated 4/4/16), I mentioned various activities that we can give students in order to learn square roots. This activity would have been perfect for Square Root Day, because it allows students to find rational approximations of irrational square roots. It would have fit in well with some of the activities that I mentioned the first week in April.

Notice that this activity actually directs students to perform a linear interpolation. It's possible to perform this interpolation without using colored squares -- to find the square root of a whole number n, use the formula:

sqrt(n) =approx. floor(sqrt(n)) + (n - floor(sqrt(n))^2) / (2n + 1)

Here floor(sqrt(n)) means the square root of n rounded down to the next whole number, which can be found using inspection or trial and error. We can avoid using the floor function by letting a^2 be the largest perfect square that doesn't exceed n, to obtain:

sqrt(n) =approx. a + (n - a^2) / (2n + 1)

But this demonstrates the whole purpose of the colored squares activity -- those formulas are especially hard to remember! The activity takes a little effort to understand -- but once the students get it, it becomes a nice method for interpolating square roots.

According to Dr. Christensen, it's important when beginning a learning module to have the students just jump in and begin the project. There's no point in having the teacher explain anything to the students first, because there's no reason to believe that the students are even listening -- and so all that time spent explaining is wasted.

This philosophy, of course, is in direct opposition to traditionalism. Traditionalists assume that students will listen to the teacher's explanation just because he or she is the "sage on the stage." That is, they'll listen to the teacher because it's proper to do so, and students do only proper things. I believe that students are less likely to listen to a teacher in middle school than in early elementary school, which is why I agree with traditionalists in the early, but not the middle grades.

Dr. Christensen told us that there is room for traditional lessons within a learning module, especially if some students need them. The important note, though, is that the projects should come first. The projects are the cornerstone of the Illinois State curriculum.

Oh, and by the way, Dr. Christensen showed us the science curriculum. I wasn't sure whether or not it would be divided into Earth Science for sixth graders, Life Science for seventh graders, and Physical Science for eighth graders -- considering that California's "preferred model" for the Next Generation Science Standards is integrated science. Well, the science texts he gave us follow the traditional order of Earth in 6th, Life in 7th, and Physical in 8th. Nevertheless, the texts are definitely NGSS-aligned.

More on Grading and Pacing

Earlier this summer, I wrote that the Illinois State text provides a four-point rubric for us to evaluate the students' projects. Well, we can convert these to letter grades, as follows:

4 = A
3 = B
2 = C
1 = F

You may notice that there is no D grade here. As it turns out, many schools chartered with the LAUSD, including mine, have adopted a no-D policy. The only grades that can appear on a report card are A, B, C, and F.

I've written a little about the no-D grading system earlier on the blog. In particular, I mentioned it back on the last day of the first quarter in 2014 -- second week of October. (I actually reblogged that post at the end of the first quarter in 2015 -- last week of October -- but then I added a discussion of other grading systems that have nothing to what I'm teaching, so I recommend reading the less distracting 2014 post.)

I know that I've changed my mind several times over the summer. But regarding my pacing plan, I want to use the pacing plan that I mentioned back at the end of the first semester in 2016 -- third week of January. According to this plan, we determine which learning module we should be in by looking at the first digit of the day number of the blog calendar. So Module 1 will begin on Day 10 and end on Day 19.

My testing dates will change a little from what I posted earlier. But I did write that there will be a test the second week of school -- and that isn't going to change. And I have an answer ready for why there will be a test so early in the year -- it is a benchmark test.

You see, the second week of school is Benchmark Testing Week. At this time, all students take diagnostic exams in English and math. There is a Benchmark Testing Week every trimester -- the second and third Benchmark Testing Weeks occur at the midpoint of the respective trimesters. This also explains what I'll be doing the first nine days of school if Module 1 doesn't begin until Day 10 -- opening week activities followed by the first Benchmark Testing Week.

The purpose of Benchmark Testing is to measure growth -- indeed, all teachers have a special Data Wall in order to measure growth. Hey, didn't Fawn Nguyen just say something about growth in her post linked above? Exactly -- Benchmark Testing is all about growth, while the SBAC and NGSS tests are all about proficiency.

Using digit pacing and including the Benchmark Testing Week produces the following calendar:

Opening Week Activities: August 16th-19th
Benchmark Testing Week 1: August 22nd-26th: Benchmark Testing Week 1
Module 1: August 29th-September 13th
Module 2: September 14th-27th
Module 3: September 28th-October 13th
Module 4: October 14th-27th
Module 5: October 28th-November 10th
Module 6: November 14th-December 2nd
Module 7: December 3rd-16th
Module 8: January 9th-20th
Benchmark Testing Week 2: January 23rd-27th
Module 9: January 30th-February 6th
Module 10: February 7th-21st
Module 11: February 22nd-March 7th
Module 12: March 8th-21st
Module 13: March 22nd-April 5th
Module 14: April 6th-28th
Benchmark Testing Week 3: May 1st-5th

A Tentative Testing Schedule

At this point the schedule gets murky as we reach the SBAC and NGSS testing block. My plan is to teach Module 15 during the testing block and count the project as a test, so that students can focus on the SBAC and NGSS tests rather than classroom tests. (Note: I may sneak in a little extra science in the eighth grade, since that grade has a NGSS science test to take.)

This plan applies to all three grades -- sixth, seventh, and eighth. Notice that the Illinois State text is identical in all three grades for the first four modules (Unit 0, Tools for Learning), but the traditional workbook that supplements the text does give different problems in each grade.

My plan is still to rotate among the three grades among a Dren Quiz, Grade-Level Quiz, and test, with eighth grade taking a test first -- except now that first graded test will be the third week. Here is a schedule of tests for the eighth grade -- the grade which I'll be blogging the most about:

1. September 1st
2. September 23rd
3. October 14th
4. November 4th
5. December 2nd
6. January 13th
7. February 10th
8. March 3rd
9. March 24th
10. April 21st
11. May 19th (SBAC week -- may be replaced with a project)

Notice that the tests don't necessarily line up with modules -- again, this schedule is designed to spread out the number of tests I have to grade each weekend. On other other hand, Dr. Christensen told us that Illinois State provides tests to give to the students based on the modules. I may end up giving those tests according to the module schedule even if it means I must grade tests for all three grades at the same time -- the extra time it takes to grade is made up for by the time I save not having to write the tests (and besides, my charter school is tiny, with small class sizes, so it's not as if I have that many tests to grade even if I do all three grades together).

But if I keep the rotation pattern, the final week at the end of the year before grades are due will be a Grade-Level Quiz for eighth graders, a Dren Quiz for seventh graders, and a test for sixth graders. So I'll have to teach Module 16 to 6th and 8th grades so that there's something to assess that week. This is convenient because Module 16 is at the end of a unit in the 6th and 8th grade texts, while Module 15 ends a unit in the 7th grade text.

I know I ought to be finishing the entire text, which goes up to the mid-20's in all three grades. But there are two conflicting philosophies here. On one hand, I want there to be ample time for all the projects -- and I'd much rather do the projects right than fast. On the other hand, there's a certain point we need to reach in each text before the January Benchmark Testing Week -- and unfortunately, no one seems to know exactly what that point is. (Recall that I'm the only middle school math teacher on my campus, so there's literally no one I can ask.)

I want to make sure that I at least introduce every topic that appears on the Benchmark to my students prior to the test -- otherwise they may become disillusioned and blow off the entire test, even the questions that they do understand.  But I don't want to follow the pacing plan above and finish Module 7 just before winter break, find out that the Benchmark Test goes up to Module 12, and then suddenly I'm forced to cover Modules 8-12 over two weeks in January. (Obviously, if this were to happen, I'd skip all the projects and use traditional lessons only for Modules 8-12.)

Well, there's nothing I can do about that until I get there.

Conclusion

I usually don't like going back to edit posts (other than my most recent post when I forget to add a link or worksheet), but I'll be going back to edit my July rules posts.

Attention -- Edited Posts:

Here are the posts I edited. Yes, I admit that I change my mind a lot, and it can be annoying to blog readers when I keep changing what I've written. But then again, we as teachers often have to change and adjust to meet our students' needs.

-- First, the list of rules now looks like this:

1. The Teacher Respects You
2. Respect Your Honesty
3. Respect Yourself and Each Other
4. Respect Your Class Equipment

In today's post I explained why the fourth rule now mentions equipment -- as in the equipment that appears in a science classroom. But now I also changed my first rule. Before I can expect my students to show respect, I as a teacher must show them respect. (There was also a story I told in my Rule #4 post that is all about respecting students, so I moved that story to the Rule #1 post.)

-- Second, I quickly finished reading Ron Clark's The Essential 55. Now that I've read it, some of the rules do make sense after all -- and they are all about showing respect. Rule #19 is "When I assign homework, there is to be no moaning or complaining. This will result in a doubled assignment." I'm still not sure whether I would use that or any of his rules in my class, but they do give me something to think about. And no, I won't use his Rule #47, "Do not bring Doritos into the school building."

-- Finally, I've changed my mind about traditionalists. I've decided that the one traditionalist I'll be quoting in my classroom will no longer be Bill. Instead, I will link to and quote Barry Garelick.

Why have I chosen Garelick instead of Bill? And besides, why should I be quoting any traditionalist at all -- shouldn't I be only reading the blogs of actual math teachers?

Well, here's a link to Barry Garelick's blog and one of his recent posts:

https://traditionalmath.wordpress.com/
https://traditionalmath.wordpress.com/2016/07/23/youre-not-the-exception/

I will be starting a teaching assignment in a middle school this August.  A few weeks ago, I met with the woman who will be mentoring me for two years.  (This is part of California’s licensing requirements for new teachers–sort of like being out on parole from ed school.)

So actually, Garelick is a math teacher! And moreover, he's a fellow first-year California middle school math teacher to boot! Recall that the only other active California middle school math blog of which I'm aware belongs to Fawn Nguyen.

But don't expect Garelick to join MTBoS or Blaugust anytime soon. Most MTBoS bloggers like to write about exactly the sort of activities that the traditionalist Garelick despises. I do notice that one frequent commenter on Garelick's site is Dan Meyer, the King of the MTBoS and a strong advocate of activities in the classroom. The two of them often exchange comments about why their respective preferred pedagogy is superior.

As he writes at the above link, Garelick definitely plans to use a traditional pedagogy -- or at least as traditional as he can get away with -- in his classroom. I look forward to reading about his classroom, and especially how he'll convince his middle school students to go along with traditional lessons.

Not only will I be able to quote Garelick himself, but one of his frequent commenters is his fellow traditionalist SteveH, who, like Bill, writes about why students should learn higher math. To Garelick's post with the same date as my post you're reading now, SteveH left this comment:

https://traditionalmath.wordpress.com/2016/08/12/if-you-say-so-dept/

SteveH says:

No, the real world of getting an engineering degree requires at least a differential equations course. Are those institutions and professors wrong – overruled by educational pedagogues? What would happen to those “engineers” who didn’t get to that level? They would be called technicians and end up with a lower salary. If you’re getting paid engineering wages and not using college-level skills, then you better keep quiet about it. You won’t help those coming up the salary pipeline and you will be setting yourself up to be pushed down or laid off.
One of the first engineering courses that all have to take is statics and dynamics. If you can’t (at least) do calculus, then you will flunk out. You may not end up doing calculus day to day in your job, but you darn well need it for a proper engineering degree and understanding of what you’re learning. You can dumb down an engineering degree, but that would catch up to many in the form of dumbed down salaries. BTW, I can’t imagine hiring and paying engineering wages to those who can’t analyze a technical paper with all of those, you know, squiggly lines, in it.
Other than that, this ends my blogging for the summer. My next post will be on the first day of school, which is Tuesday, August 16th. Remember, my plan is for me to write three blog posts during every week of the school year.

I hope my first year of teaching will be a successful one.

Tuesday, August 9, 2016

My Rule List

In today's post, I will continue to describe the classroom preparations for my very first year of teaching, which will start next week.

Table of Contents
1. Blaugust: Another MTBoS Challenge
2. My First Blaugust Prompt
3. Links to Other Blaugust Participants
4. A Science Teacher Blog
5. My Rule List

Blaugust: Another MTBoS Challenge

Yes, you read that right! The members of the Math Twitter Blogosphere, or MTBoS, certainly enjoy their blog challenges! As the name implies, teachers fulfill the Blaugust challenge by blogging as possible during the month of August.

Here's a link to the creator of the Blaugust challenge:

http://statteacher.blogspot.com/
http://statteacher.blogspot.com/2016/07/mtbosblaugust-is-back.html

The owner of this blog goes only by the username "druin" -- I don't know her full name. (She does list her gender as "female," so I can safely use feminine pronouns.) Based on the name of the blog, druin is a high school statistics teacher.

This is what druin writes about the challenge:

Rules of Blaugust
The rules are pretty simple... all you need to do is blog!  :)

Seriously though, my goal will be to blog daily in August, but I know that's not always possible, so set your own goal!  Maybe it's a goal to blog every other day or to write at least 10 posts this month... whatever it is, you can do it!  This will be my 4th attempt to blog every day for a month and I have YET to achieve that goal, but it's okay - blogging once a week is better than not blogging at all!

Please take a minute to sign-up so I can link to your site as a #MTBoSBlaugust participant and cheer you on!

So apparently this Blaugust thing has been going on for some time, yet this is the first time that I've heard of it! According to druin, participants should post everyday during August. Well, it's too late for that now -- as usual, I'm late to the party.

Still, I'm going to participate in Blaugust anyway, regardless of the sign-up list. I already had plans to post thrice a week during the school year, so I should reach the "at least 10 posts this month" goal, even though it's too late for me to post everyday this month. (Hey, at least I found about Blaugust faster than MTBoS30 -- May was already half over by the time I read about that challenge!)

Oh, and by the way, I will be using the MTBoS label for all of my Blaugust posts. For MTBoS30 I only labeled some of the posts as MTBoS, but this time I want to make sure that all of my challenge posts are marked.

Prompt #9: Start, Stop, Continue

According to druin, we can write about anything we want in our Blaugust posts. But she provided us with some prompts anyway -- just as for the 2016 Blogger Initiative challenge in January. When I first saw her list, I thought that the first prompt was for August 1st, the second prompt for August 2nd, and so on -- until I saw that there were 50 prompts there, not 31. Nonetheless, I think I'll use Prompt #9 today anyway, since today is August 9th.

Notice that many of these prompts are related to the First Day of School. This is probably why druin set up Blaugust in the first place -- she wants teachers to write about the upcoming school year. (And again, I still must get used to the Early Start Calendar and associate "back to school" with August rather than September!)

By the way, I'm retroactively considering my last post, dated August 5th, to be my first official Blaugust post. Of course, I didn't follow Prompt #5 in that post. Let's change that #5 to #45 instead:

45. What’s the toughest challenge you face as a teacher today?

And my toughest challenge will certainly be to teach science in addition to math, as I explained in that August 5th post.

Now for today's prompt:

9. What would you like to Start doing this school year?  What would you like to Stop doing?  What would you like to Continue doing?

And here are my responses:

Start: The one thing I want to start doing this school year is, well, teaching! This is my very first year as a teacher. As we all know, the first year of teaching can be challenging -- and especially sicne I am working at a small charter middle school where there are no other math teachers! But I believe that I can be successful by reading about how more experienced teachers are running their classes -- and that includes other MTBoS participants.

Also, what I need to do is start demanding respect from my students. As a sub, I often found it difficult to demand respect, but now it's time for me to stop thinking of myself as a sub and start acting like a teacher, since that's what I'm going to be. Another way to think of it is this: if I had a bad day as a sub, the regular teacher could fix it the next day, but if I have a bad day as a regular teacher, there's no one to fix it. So I'm the one who's responsible for the students.

Stop: Here's one thing I want to stop from my days as a sub -- stop letting those who want to disrupt the class take over. One of the most important things to have in the classroom is respect, and I want to make sure that students respect their school and community. I must remind the students that part of his or her job is to respect. To do so, I will reward students who contribute to order and punish those who wish to disrespect.

As a sub, a problem I commonly saw was when students didn't sit in their assigned seats. Sometimes a student would sit in adjacent seat because the owner of that seat was absent and the student didn't want to be isolated from the other students, while at other times the seat-changer was doing so for more malicious reasons. But in either case, a seat-changer isn't contributing to order -- and indeed, if I see a student changing seats, I start wondering what other rules that student will break!

And so I must be strict in following my seating chart to the letter. The students in my class are divided into groups of four, which will be convenient for group activities. Any student who sits in a different seat -- even if it's just one seat away from the correct seat -- and refuses to return to the correct seat at the count of five will be immediately given a five-minute detention. This will be separate from my participation points system.

Also, I must stop tolerating cell phones. Again, in the past I usually had the sub mentality -- I can't do anything about the phones because students will never surrender their phones to a sub. I've seen that I must especially be strict with phones with my sixth graders -- eighth graders (and above) usually have phones out to listen to music (on headphones so as not to disturb others), but less mature sixth graders are more likely to use the phones to disrupt the classroom. Just as with seating changes, cell phone violations will be separate from my point system. (Again, Pokemon Go worries me!)

Continue: Just as I want to stop doing anything that takes away from order in the classroom, I wish to keep doing things that contribute to order. To me, the best way to maintain order is to guarantee that the students have something to do at all times. Again, my best days as a sub occurred when students knew exactly what they were supposed to be doing at every moment of the class and knew how to do it.

I will continue to use some sort of point system as much as possible. As a sub, I often used group points because I didn't know the names of all the students. Now I will be leaning more towards individual participation points as I get the opportunity to learn more about all the kids. Again, I'll be giving out rewards and consequences mainly based on how many points a student gains or loses during the lessons.

Also, of course I will continue helping students. I consider one of my greatest strengths as a teacher is to look at a student's paper and figure out what problems he or she is having. I know what the most common errors are, and so I am able to correct these errors and help the students successfully finish the assignment. I must keep in mind, though, that I'm no longer a sub, but a regular teacher -- so I can't help the students forever, but make sure that they can do the work on their own.

Links to Other Blaugust Participants

Let's take a peek at some of the other teachers who are posting for Blaugust. And who's better to start with than druin, the originator of this challenge?

Now druin's first Blaugust posts definitely adhered to the following prompt:

12. Something I read/learned this summer that intrigued me…

And druin definitely read something this summer -- Ron Ritchhart's Making Things Visible. I'll link to her first post about the book, even though this was back in June. She wrote about one chapter in each post and finished the book for Blaugust:

http://statteacher.blogspot.com/2016/06/making-thinking-visible-chapter-1.html

After finishing Ritchhart's book, druin went on to talk about her classroom. Here's a link to the first post she wrote after completing Ritchhart:

http://statteacher.blogspot.com/2016/08/new-bulletin-boards-for-2016.html

druin writes:

New Bulletin Boards

On Wednesday, I went up to work in my classroom for a bit.  My main goal was to finish up the bulletin boards and I was able to get several done. 

First board isn't quite done, but I did get the fabric hung up.  I team teach a Forensic Science class with the science teacher next door and this summer on Etsy, I found this fabric:

Hey, what's this? Apparently druin, just like me, teaches science in addition to math! The main difference is that this "Forensic Science" class sounds like an elective, not a student's main science class -- and that's there's a separate science teacher. Recall that I am the only person teaching both math and science to my middle schools.

Nonetheless, I find some of her bulletin boards inspiring -- and who knows, maybe I'll consider using some of her ideas in my own classroom!

Oh, and by the way, you may be wondering whether there is a "Science Twitter Blogosphere" similar to the MTBoS, but for science teachers. Apparently, there is no close-knit group of science teacher bloggers -- of course, some science teachers do have blogs, but there's nothing analogous to the MTBoS, Blaugust challenges, etc., for science.

Here are a few more Blaugust participants whose blogs I wish to highlight. First, let's look at the list of participants:

http://statteacher.blogspot.com/2016/07/mtbosblaugust-participating-blogs-2016.html

-- Sherrie Nackel:
http://7thgrademathteacherextraordinaire.blogspot.com/

Unlike the Blogging Initiative, Blaugust doesn't have a requirement where we must specifically look at the three blogs right above our own name in the list. But still, I couldn't help but notice the name of the blog right above mine -- "Middle School Math Rules"!

That's right -- Nackel is a middle school teacher from Wisconsin (most likely 7th grade, based on the URL of her blog)! I've said before that most MTBoS participants are high school teachers, so it's refreshing to see a fellow middle school teacher here.

But unfortunately as of today, Nackel has no Blaugust posts. She did put her name on the list, so I hope she'll be posting soon!

-- Author unknown (Mrs. Gamb?)
https://mmgamb.wordpress.com/

The author of this blog doesn't give her full name, but according to her first Blaugust post, she is a 7th and 8th grade math teacher in Texas. In the following post, she writes about classroom materials:

https://mmgamb.wordpress.com/2016/08/06/back-to-school-shopping/

Oh, and notice that so far, my favorite middle school math teacher blogger, Fawn Nguyen, does not appear to be a Blaugust participant. She hasn't posted to her blog at all this month, nor did she add her name to the list. Well, at least I have these two blogs to enjoy.

A Science Teacher Blog

I do want to link to at least one science teacher -- particularly a middle school science teacher, since this is the grade span I'll be teaching. This was a bit difficult since it's hard to find middle school math blogs -- and that's with the existence of MTBoS. Imagine how to find a middle school science teacher without the benefit of an MTBoS for science!

Anyway, I did find the following blog:

http://katesclassroomcafe.blogspot.com/

The author of this blog appears to be a 6th grade science teacher named Kate. Her most recent posts also describe how to set up a classroom for the first day of school -- and these ideas can apply to any middle school class, not just science.

With this, I'm ready to announce my fifth and final rule for my classroom. This rule is based on what I wrote for Start/Stop/Continue:

My Rule List

I keep saying that I want to write my final rule list and then putting it off. Actually, I'll write the list by using one of the other Blaugust prompts:

23. Using your school mascot, create an acrostic of character traits you wish to instill in your students

Actually, my new school doesn't use a mascot, but we really do have an acrostic of character traits based on the word SCHOLAR:

Speak with Integrity
Commit to Success
Honor yourself and others
Own your own future
Lead the way to Excellence
Aspire to learn from everything
Respect your school and community

And so these are the seven rules that I will be enforcing in the classroom this year. Notice that my previous rules posts in July are all aligned with the seventh -- and perhaps most important -- rule:

1. The Teacher Respects You
2. Respect Your Honesty
3. Respect Yourself and Others
4. Respect Your Class Equipment

I guess that the singer Aretha Franklin said it best -- the underlying idea is respect. The rules are all about getting the students to respect the education process.

I will be posting later again this week -- the final post of the summer. And of course I'll be continuing to participate in the Blaugust challenge. Again, I must emphasize that the MTBoS is the only opportunity I have to communicate with my fellow math and science teachers, because I'm working at a small charter school where I'm the only such teacher. Because of this, I highly appreciate the MTBoS and its members who write such thoughtful posts.

Friday, August 5, 2016

The Next Generation Science Standards

I've decided to devote today's post to the Next Generation Science Standards, which are often known as "Common Core" for science.

Table of Contents

1. I am a Science Teacher!
2. Integrated Middle School Science
3. Examples of New Science Standards
4. Fractions Yet Again!
5. Another Bill Comment
6. Fractions in the Illinois State Text

I am a Science Teacher!

Now I've alluded to the NGSS several times here on the blog -- mostly in a special post I posted nine months ago in November, my Black Friday post. That post was part of the Common Core Debate, in which I discussed the pros and cons of national standards by looking a little at the science standards. But in November I took only a cursory look at NGSS, because this is a math blog and I was working on becoming a math teacher.

But now things have changed. Recall that now I am getting ready to teach using of the Illinois State text -- a text that uses project-based learning to integrate math and science together. In other words, strictly speaking I am a science teacher! And so I want to devote an entire post to the NGSS because, again, I am a science teacher, so I am directly affected by the NGSS!

Keep in mind that I still consider myself to be primarily a math teacher. And as I've been saying all summer, the blog will focus on the eighth grade class. Nonetheless, I did already warn you that this eighth grade class will contain some science projects, and I'll be writing about everything that happens in that eighth grade class -- including geometry, algebra, statistics, and science. As of now, it appears that the eighth grade class will be the largest of my three classes, but that may change as time goes on.

So let's look at the NGSS and see how it will affect my teaching. One thing to keep in mind is that currently under No Child Left Behind, all students must be tested in science once during each of elementary, middle, and high school.

Here in California, the chosen grades for the NCLB tests are fifth, eighth, and tenth grades. But this test will not be the official NGSS test, but merely a "pilot test" for the new standards. My current seventh graders will take the "field test" for NGSS next year, and my current sixth graders will take the operational NGSS test the following year.

Here is a link to the NGSS as implemented in California:

http://www.cde.ca.gov/pd/ca/sc/ngssstandards.asp

Just as with the Common Core Math Standards, the NGSS for the elementary Grades K-5 are divided up by grade level, while for high school, the standards are divided by topics (as in Biology and Chemistry) rather than grade level.

But right now, I want to look at the middle school standards, since this is what I'll be teaching. As it turns out, the middle school standards are somewhat divided into 6th, 7th, and 8th grade standards, but how they are divided is very different from what you might expect.

Integrated Middle School Science

Back in my Black Friday post, I wrote that I wasn't sure whether California would follow the integrated pathway or the traditional pathway for middle school science. In many ways this is similar to the Integrated Math I, II, III vs. Algebra I, Geometry, Algebra II debate for high school math -- under the old pre-NGSS California standards, middle school science focused on Earth Science in the sixth grade, Life Science in the seventh grade, and Physical Science in the eighth grade.

As it turns out, the integrated pathway is now the preferred pathway for middle school science. Still, the traditional pathway exists for those districts that prefer the old way. (Notice that the word "preferred" is not used to describe either of the high school mathematics pathways.)

Here's a link to an old EdSource thread from last year, which debates new middle school standards for science:

https://edsource.org/2015/california-adopting-integrated-model-for-science-in-middle-grades/74814

We already know that traditionalists oppose integrated math, and so it goes without saying that traditionalists are the ones who oppose integrated middle school science.

In my new class I will be teaching science from the Illinois State STEM text. This text was written before the NGSS standards, and so we don't expect the three grade-level texts to line up perfectly with either the integrated or traditional pathways. Still, it may be helpful to look up some of the projects in the sixth, seventh, and eighth text to see which pathway the projects correspond to.

For example, suppose the Illinois State eighth grade text corresponded to the old California eighth grade class -- physical science. Then we would expect most of the NGSS physical science topics to be covered in the eighth -- not sixth or seventh -- grade text.

Let's look at the first physical science strand according to California:

MS-PS1 Matter and its Interactions

This appears in both the sixth and eighth grade. Of course, you could argue that those units are all about earth science -- but then that just goes to show that there's a fine line between earth and physical science that's marked only because the topics are taught two years apart (in California).

And the next physical science strand is:

MS-PS2 Motion and Stability: Forces and Interactions

And this is clearly found in all three grade texts because this is covered with the first project of the year (the race cars) in the opening unit, Tools for Learning (which is identical in all three texts).

So it's evident that the Illinois State text is using an integrated model. Keep in mind that we've been using "integrated" to refer to both integration within a subject (Algebra/Geometry, Earth/Physical Science) as well as integration between subjects (Math/Science). Integration in one respect doesn't entail integration in the other -- though clearly the Illinois State text is both. (Then again, we should not be surprised that the Illinois State text doesn't follow the old California traditional pathway.)

I've said before that Integrated Math I teachers would do well to follow my Common Core Math 8 class here on the blog, even though they might be annoyed by the science projects that don't necessarily correspond to freshman year science.

Examples of New Science Standards

So far, I keep talking about the new NGSS, but I have yet to post any actual standards. Well, let's look at some of the standards under this physical science strand, Forces and Interactions. All of these are included in the eighth grade standards (both traditional and integrated models):

MS Forces and Interactions
MS Forces and Interactions  Students who demonstrate understanding can:
MS-PS2-1. Apply Newton’s Third Law to design a solution to a problem involving the motion of two colliding objects.* [Clarification Statement: Examples of practical problems could include the impact of collisions between two cars, between a car and stationary objects, and between a meteor and a space vehicle.] [Assessment Boundary: Assessment is limited to vertical or horizontal interactions in one dimension.]
MS-PS2-2. Plan an investigation to provide evidence that the change in an object’s motion depends on the sum of the forces on the object and the mass of the object. [Clarification Statement: Emphasis is on balanced (Newton’s First Law) and unbalanced forces in a system, qualitative comparisons of forces, mass and changes in motion (Newton’s Second Law), frame of reference, and specification of units.] [Assessment Boundary: Assessment is limited to forces and changes in motion in one-dimension in an inertial reference frame and to change in one variable at a time. Assessment does not include the use of trigonometry.]
MS-PS2-3. Ask questions about data to determine the factors that affect the strength of electric and magnetic forces. [Clarification Statement: Examples of devices that use electric and magnetic forces could include electromagnets, electric motors, or generators. Examples of data could include the effect of the number of turns of wire on the strength of an electromagnet, or the effect of increasing the number or strength of magnets on the speed of an electric motor.] [Assessment Boundary: Assessment about questions that require quantitative answers is limited to proportional reasoning and algebraic thinking.]
MS-PS2-4. Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects. [Clarification Statement: Examples of evidence for arguments could include data generated from simulations or digital tools; and charts displaying mass, strength of interaction, distance from the Sun, and orbital periods of objects within the solar system.] [Assessment Boundary: Assessment does not include Newton’s Law of Gravitation or Kepler’s Laws.]
MS-PS2-5. Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact. [Clarification Statement: Examples of this phenomenon could include the interactions of magnets, electrically-charged strips of tape, and electrically-charged pith balls. Examples of investigations could include first-hand experiences or simulations.] [Assessment Boundary: Assessment is limited to electric and magnetic fields, and is limited to qualitative evidence for the existence of fields.]

I admit that this is a bit more advanced than the class I had back when I was an eighth-grader. Even though eighth grade was always devoted to physical science, the exact content of the class was often fuzzy until the introduction of the California Science Standards (by which point I was already past the eighth grade) and later on, the NGSS.

I've discussed many of these ideas as we read Morris Kline's book in the spring. Indeed, I pointed out that I might read the first few chapters of Kline in my classes.

Another Bill Comment

Earlier today, the traditionalist Bill commented in another thread, this time about free college:

http://www.cnn.com/2016/08/03/opinions/free-college-opinion-freeland/index.html
http://www.joannejacobs.com/2016/08/cheap-college-is-better-than-free/

Here Bill is replying to another poster, Rob, so let's give the latter's comment first.

Rob says:

I was agreeing up to the point of the “coding bootcamps”. I suppose you can turn someone into a basic web monkey in a few intensive weeks, but you can’t turn out a journeyman coder in that time. This is a distraction, however.
College isn’t for everyone, because not everyone wants a cerebral job (like coding). Lots of people prefer working with their hands and have a job that just ends at quitting time.

In response to Rob, Bill says:

I would agree with Rob, as being able to write decent software (which isn’t web pages, btw) requires a lot of training and skill which a 8-12 week boot camp isn’t going to cut it at all.
Writing secure software is a very difficult task, as I probably found more than 1000 bugs which are actual software errors across 40 or so software programs (some of which support critical internet functions, btw), and correcting those errors can be very time consuming and frustrating.
Coding Bootcamps seem to be the snake oil of certification bootcamps in the early 2000’s, where anyone could simply book study the material and pass the examinations, without ever having touched a physical piece of equipment.
In STEM fields, real learning takes a great deal of time and patience, and not everyone can handle the required amount of coursework…

There are two issues here -- the first is, do all students need to go to college? Here Rob and Bill agree that the answer is no -- the solution isn't free college or cheap college, but no college for students who don't need it.

The other is that if students really want a STEM jobs, Bill suggests that such students prepare themselves for the required coursework -- and that begins in middle school, by getting A's in their math and science classes and remembering the material long after the class is over.

Fractions Yet Again!

Let's get back to math, since math is not going away. Yesterday, the traditionalist Bill posted in a thread at the Joanne Jacobs website. As usual, I link first to the article, and then the Jacobs website where Bill commented:

http://www.chalkbeat.org/posts/ny/2016/07/29/how-do-you-get-students-fired-up-about-fractions-reinvent-math-class/
http://www.joannejacobs.com/2016/08/teachers-study-how-to-teach-fractions/

Actually, let's look at a comment written by another poster, Tressa.

Tressa says:

I suppose it isn’t revolutionary, but I have found that when I talk to people about math, especially those who say they were never good at it, they always were lost when the school taught fractions. Unfortunately, they tell me that they never caught up again.
I am not sure what it is. Do the schools rush through fractions? Do the kids get lost, but the schools keep going? Higher math is, to put it mildly, frustrating if you don’t have a solid grasp on fractions.
So while this probably isn’t rocket science, I will take it as good news that they understand fractions are important and their current method of instruction is lacking. I also think understanding fractions is a developmental issue. Some kids will grasp it later than others, but by that time the class has moved on. The whole thing frustrates me. It is one of the main reasons why I chose to homeschool my kids.

In response to Tressa, Bill says:

Teaching fractions isn’t all that hard…the old plastic pizza/pie/cake usually did the trick in my day, though without a solid knowledge of fractions, a student will probably not master algebra and will never complete algebra II/trig (unless it’s so watered down that they don’t do fractions in that class anymore).
SIGH

Of course, we all know too well what Tressa is saying here. More often than not, the first topic with which students struggle in math is fractions. Tressa writes that her solution to the fraction problem is to homeschool, so that she can tailor her fraction instruction to the pace at which each of her children individually understands. But not everyone homeschools, and it's impossible to provide such 1-on-1 instruction to every student in a classroom.

Bill responds by claiming that teaching fractions is easy. Yet if teaching it were so easy -- why do so many students struggle with fractions? And kids had trouble with fractions well before Common Core, so we can't blame it on the new standards.

Bill continues his post by saying that he learned fractions by modelling them with pizza. But this reminds me of what Dr. Hung-Hsi Wu -- whom I mentioned in my Pi Approximation Post -- says about fractions:

https://math.berkeley.edu/~wu/Schoolmathematics1.pdf

Wu: If a fraction is just a piece of pizza, then how to multiply two pieces of pizza?

Later on in the same document, he writes:

For example, a teacher familiar with a logical development of fractions would recognize the futility of relying exclusively on cutting pizzas in order to teach fractions. Such a teacher would be more likely to introduce the number line as early as possible.

But note the importance in this context of having precise definitions of both 3/8, a fraction, and 0.375, a decimal, as numbers. Anything less (such as only knowing a fraction as a piece of pizza) and this equality wouldn’t even make sense.

So we see that Wu definitely disagrees with Bill's approach.

By the way, notice what's in the article itself:

But when Kris got to the board, his understanding seemed to vanish. He was supposed to be placing the fraction five-thirds on a number line, but instead he marked off five and one-third, almost four points too far.

For his part, Cipparone never pointed out Kris’ error that morning. He threw the question back to the class for a quick debate. And even though some students argued their classmate was wrong, Cipparone stood back and facilitated.


Now this sounds eerily similar to something posted by Fawn Nguyen, a fellow California middle school math teacher (whom I quoted a few months ago here on the blog):

http://fawnnguyen.com/wbt/

Mrs. Quiggle: Timmy, where on the number line is four-fifths?
Timmy: Ummm. Between four and five?
Entire [...] Class: It’s cool!
T: Yeah? It’s cool? I got it right?
Mrs. Q: Oh, four-fifths is right here. Right about here. If you can just imagine this space spliced up… Yes, that’s right, it’d be sitting right here, Timmy.
T: So I did not get it right.
[Entire Class -- dw]: It’s cool that you said four-fifths is between four and five, Timmy. We wanted you to be merry.
Now Nguyen writes that this "Whole Brain Teaching" link was merely satire -- a commentary on how strange some progressive teaching methods are. And yet the Live Science link above described a math class that taught fractions using almost exactly the method Nguyen considers to be too satirical to be real -- a student gives an incorrect answer, and the teacher would rather start a class discussion than directly tell the student that he's wrong! (This is often referred to as Poe's Law -- it's often difficult to distinguish between a parody of an extreme view and the real thing!)

As usual, I like to take the middle path between Bill's traditionalism and Quiggle's progressivism. I point out that a traditionalist would have emphatically told Kris and Timmy that they were wrong -- and the students might have resented being told that they were wrong. Traditionalists assume that the students would just meekly accepted that they were wrong, even though it's human nature to defend oneself instead of admitting the truth.

I admit that there is a fine balance here -- how to get a student to accept that he is wrong without wanting to resent it. According to the article, Kris does have some understanding of fractions, so it might be preferable to ask Kris to locate 1/3, 2/3, and 3/3 on the number line, or even to have him convert 5/3 to a mixed number before locating it on the number line -- and meanwhile, that class discussion can still take place. This way, Kris can see for himself that he is wrong -- he is neither led to believe that his answer is "cool," nor does he resent being corrected by the teacher.

Here's another example:

Teacher: What's 2+2?
Student: Five.
Teacher: Hmmmm -- when you add 2+1, you get three, right?
Student: Yes.
Teacher: And if you add another 1 to that, you get four, right?
Student: Yes.
Teacher: So when you add 2 things to 2, what's the answer?
Student: Oh, it's four. (Holding up fingers throughout the conversation would help!)

Fractions in the Illinois State Text

The big question, of course, is how will I teach fractions in my classroom? Recall that most fraction instruction occurs in Grades 5-7 (and the article linked above focused on fifth grade), so again, this is not directly related to the eighth grade class that I plan on posting here on the blog.

A big sixth grade topic is fraction division. In the sixth grade module "Playing the Nails," there is an example of the division 3/4 divided by 1/2 using number lines. There's a very similar example of this, dividing 5/6 by 3/4, right on Fawn Nguyen's site:

http://fawnnguyen.com/dividing-fractions/

And so my fraction lessons will be a combination of ideas -- number lines, some class discussion, activating prior knowledge -- possibly even some pizza models, if the students happen to understand these best, as Bill once did.

My next post will be early next week.

Friday, July 29, 2016

Rule #4: Respect Your Class Equipment

As the summer draws to a close, it's about time that I move away from spherical geometry and more towards my upcoming classroom and its rules.

Table of Contents
1. Better Together: California Teachers Summit 2016
2. History of the LAUSD Academic Calendar
3. The Academic Calendar Beyond the LAUSD
4. Definition of Summer
5. Managing the Academic Calendar and 80-Minute Block
6. The Willis Unit
7. The Tomb of the Unknown Soldier
8. The Loneliness of the Long Distance Runner
9. More Comments from Traditionalists
10. Rule #4: Respect Your Class Equipment

Better Together: California Teachers Summit 2016

One thing I've noticed is that during the summer, many members of the Math Twitter Blogosphere, or MTBoS, often write about the teacher conferences that they attend. As I consider myself a member of the MTBoS, I'll continue this tradition by discussing a conference that I attended.

Today was the second annual California Teachers Summit. No, I didn't attend the first summit last year because at the time, I was just a sub. But now I'm about to become a full-time teacher, and as a beginning teacher, I knew I could benefit from attending a teacher conference like this one. The theme for this year was Better Together, and this rings especially true for new teachers like me. I will be a better teacher when I work together with my more experienced colleagues.

The California Teachers Summit was held at several dozen locations throughout the state. I signed up for the location at California State University, Dominguez Hills, because there is actually where I earned my credential. The Summit was divided into three breakout sessions, but since I already had other plans for today, I only attended the first breakout session.

This session was titled "First Year Tips: How to Survive From Day 1" -- since I'm getting ready to start my first year of teaching, this was a no-brainer. The presenter of this session was Nicolette (sorry, I missed her last name). Although she has been teaching for well over a decade, she says that she has experience several "first years of teaching" as she made the transition from middle to elementary school, as well as from a charter to a public school. She is currently a fourth grade teacher in the nearby city of Eagle Rock.

Nicolette asked a group of us newbies what our biggest concern was as we get ready to begin our teaching careers. It goes without saying that a big concern of ours is Classroom Management. She recommended that we read The First Days of School by Harry and Rosemary Wong. This book is well-known among teachers, and indeed I myself own an old copy of their book (dated 1998). I once saw a newer version of the Wongs' book, but I never did purchase it. As the title implies, the Wongs believe that the first few days of school are critical in setting the tone for the new school year. And Chapter 3 of their book is called "How You Can Be a Happy First-Year Teacher" -- I'll definitely read this chapter over again before starting my first year of teaching.

One newbie teacher told Nicolette that her biggest fear was issues with parents -- in particular, the parents won't like it when they find out that their child's teacher is a first-year teacher. This is tricky -- after all, most patients probably wouldn't prefer a first-year doctor either, but if no one ever went to a first-year doctor, first-years could never become experienced doctors. Likewise, every experienced teacher must have once had a first classroom. Nicolette told us that we can reassure parents by introducing ourselves to them early in the year -- indeed the Wongs say the same in their Chapter 13.

Finally, Nicolette introduced us to the following website, where us newbie teachers can find resources created by other teachers:

https://www.teacherspayteachers.com/

As new teachers, other teachers are always a great resource, whether it's at the Teachers Pay Teachers website, the MTBoS, or best yet, a mentor on campus.

If you are a California teacher, I highly recommend attending the third annual California Teachers Summit next year. Maybe in 2017 I'll actually attend the entire day (especially since lunch is served)!

History of the LAUSD Academic Calendar

At the start of this post, I wrote "as the summer draws to a close," but today is only July 29th. As I grew up, I always attended schools on the Labor Day Start Calendar -- on that calendar, the last week of July was approximately the midpoint of summer break. I'm still getting used to the Early Start Calendar, with school starting in less than three weeks. Recall that the topic of today's post is school and time, and so I begin by discussing the history of the LAUSD school calendar. Again, remember that I'll be working at a charter middle school, not LAUSD proper. Still, my school calendar is nearly identical to that of LAUSD, so I'll write about the district calendar.

For years the LAUSD, like most Southern California schools, had a Labor Day Start Calendar. In fact, the day after Labor Day (a Tuesday) was a day of preparation for teachers, and all students would start school on Wednesday -- all students on the Traditional Calendar, that is. I wrote back in my Father's Day post that some district schools had a Year-Round Calendar instead. Let me explain more about the Year-Round Calendar.

The population of the district increased greatly as the children of the Baby Boomers (the generation we now know as the Millennials) reached school-age. District officials realized that, instead of building new schools, it would be more efficient if schools would operate year-round rather than close for the summer.

The Year-Round Calendar is based on there being 240 weekdays available in the school year. If you think about it, there are about 52 weeks in a Gregorian year. If we assume that winter break is two weeks and other holidays (Monday holidays, for example) are the equivalent of two more weeks, then this leaves 48 weeks, or 48 * 5 = 240 days, of school.

Now each student attends school for 180 of these 240 days. As the fraction 180/240 reduces to 3/4, this means that students need to attend school for three-quarters of the calendar year. Now on the Traditional Calendar, it's easy to have the students attend 3/4 of the year -- just have them go to school during three of the four seasons (fall, winter, and spring) and give them the fourth season off (summer, of course).

Here's how students can attend 3/4 of the year on the Year-Round Calendar -- we divide all students into four tracks, labeled by the first four letters A, B, C, and D. At any point three of the tracks attend school while the fourth track is off. The result is that all students attend school for 3/4 of the year, or 180 days, just like the Traditional Calendar students.

You might think that the A-Track student would take, say, the summer off, B-Track students would take the fall off, C-Trackers the winter, and D-Trackers the spring. But the actual Year-Round calendar in the LAUSD wasn't as simple. Students didn't have a single three-month break -- instead, the break was divided in half, so they had two breaks, each a month-and-a-half, during the year.

The school year was deemed to run from July to June -- so each student would move up a grade level as June turned into July. A-Track would take the first break, from the early July to mid-August. Then C-Track would be off from mid-August to late September, then B-Trackers are off from early October to mid-November, and then D-Trackers take their vacation from mid-November through winter break. Winter break marked the midpoint of the year -- it divided the semesters for all students. Then the pattern would repeat itself for second semester -- first A-Trackers would be off from winter break to mid-February, and so on.

The Year-Round Calendar no longer exists in the district, except at a single high school (located in the nearby city of Bell). Let's look at the 2016-17 calendar at that last high school to understand what a Year-Round Calendar looks like:

Dates School is in Session:

A-Track
August 15th - December 20th
February 16th - June 30th

B-Track
July 5th - September 26th
November 2nd - December 20th
January 3rd - March 30th
May 18th - June 30th

C-Track
July 5th - August 12th
September 27th - December 20th
January 3rd - February 15th
March 31st - June 30th

D-Track
July 5th - November 1st
January 3rd - May 17th

At some schools, having only 3/4 of the students attend at a time was enough to avoid overcrowding, but at others, this was not sufficient. These schools introduced what was known as a Concept 6 Calendar, which divided students into three tracks, with only two tracks on at a time.

Notice that two-thirds of 240 is only 160 days. The Concept 6 Calendar officially had the students on track for 163 days -- the extra three days being squeezed in the calendar somehow. For example, the Four-Track Calendar I linked to above gives the students a week off for Thanksgiving, but if the Concept 6 Calendar still existed (which it doesn't), mostly likely the Monday, Tuesday, and Wednesday of that week would be the three extra days.

With only three tracks, each break would be two full months, instead of a month and a half. A-Track would be off July and August, B-Trackers would be off September and October, C-Trackers would be off November and December, and then the pattern repeats with A-Trackers off January and February, and so on.

Notice that while every Year-Round school had a winter break, there is no spring break on any version of the Year-Round school. This can result in very long stretches without a holiday -- for example, we see that the A-Trackers at the last remaining Year-Round school start the second semester on a Thursday, then they attend Friday before taking President's Day off. After President's Day, they don't get another day off until Memorial Day, more than three months later! (It's also a bit strange that there would be a week off for Thanksgiving but not for Easter -- the difference of course is that Thanksgiving is on Thursday so there must be days off for Turkey Day, while Easter is on a Sunday and so it doesn't effect the school week at all.)

Five years ago, the LAUSD voted to abolish all but one Year-Round school. At the same time, the district was to adopt the Early Start Calendar. But the new calendar met union resistance, and so the only change that was made that year was the introduction of Thanksgiving holiday week. I noticed that the previous year, there had been furlough days due to budget cuts, and the furlough days were placed during Thanksgiving week. Even when the budget was restored, Thanksgiving week was so popular that it was made a part of the new calendar. The following year was when Early Start was ultimately implemented.

The district recently released the results of a survey regarding the school calendar. The first question was, "In your opinion, the school year should start..." with the choices Early August, Mid-August, Late August, and after Labor Day. Among teachers, the current Mid-August calendar was the most popular with high school teachers, while the Labor Day Start was favored by elementary teachers. Of course, this makes sense because the reason for starting school early is for first semester finals to be taken before winter break, so teachers who have finals -- high school teachers -- are the ones who want school to start early.

Many people also want to take the weather into account when considering the school calendar. In many years, the hottest day of the year is after the first day of school (on an Early Start Calendar), while the hottest part of the city is the San Fernando Valley (of "valley girl" fame). The results of the parent survey reveal that the Labor Day Start Calendar is popular in Local District 3 (a portion of the LAUSD), which is completely in the San Fernando Valley. Labor Day is also popular in Local District 4, which is only slightly in the Valley, as well as District 7, which is in the south, nowhere near the Valley. It could be that Districts 4 and 7 are adjacent to other districts (other than LAUSD) that have either Labor Day or Late August Starts.

There was also a question about a "Modified Early August" Calendar. This calendar has two semesters with the winter and summer breaks being of equal length. It is similar to a calendar with the first semester following the Early Start Calendar and the second semester following a Labor Day Start Calendar (i.e., it starts in February). It would also be similar to the A-Track calendar at the last remaining Year-Round high school. But this calendar wasn't popular with anyone.

The final question was, "The first semester should end before winter break." For this question, "I strongly agree" was the most common response, even among groups that chose Labor Day Start. I've mentioned this before -- both "the first semester should start after Labor Day" and "the first semester should end before winter break" are both desirable ideas. The only problem is that there just aren't enough weeks between Labor Day and Christmas to make up a full semester. I once pointed out that Labor Day to Christmas is approximately 2/5 of the year, so perhaps the school year ought to be divided into five quinters rather than four quarters. Then the first quinter can begin after Labor Day and the second quinter can end before Christmas.

Under the old Labor Day Start Calendar, each semester was about 19 weeks long (not counting winter or spring breaks). Recall that the school year contains 180 days, which is about 36 weeks, but there are about two weeks' worth of holidays, so the year is actually 38 weeks in length. An Early Start Calendar would have to begin around the first Wednesday in August in order for the two semesters to be equal -- this is about 16 weeks before Thanksgiving, and there are always three weeks between Thanksgiving and winter break, for a total of 19 weeks.

But the Early Start Calendar implemented four years ago started a week later, which resulted in the first semester having only 18 weeks and the second semester having 20 weeks. Even that calendar faced backlash, and so last year the calendar to start yet another week later. Now the calendar is set to begin on a Tuesday between the 14th and the 20th of the month (with Monday a preparation day), and so the split is now 17-21. It appears that 17 weeks is the shortest the first semester can be while still credibly calling it a "semester." Now 17 weeks is 17 * 5 = 85 days, but with various holidays it ends up being only 79 or 80 days, with at least 100 days in the second semester.

The Academic Calendar Beyond the LAUSD, and the Definition of Summer

I notice that there are a few other districts here in Southern California that still use what are referred to as "Year-Round Calendars." But on these calendars, all the students at a school are on a single track -- the breaks are just spread out more. In some ways, these schedules are vestiges of older Multi-Track Calendars that are being phased out (for example, the Modified Early August proposal of LAUSD being based on the old A-Track schedule).

In San Diego, for example, a few schools divide the year into three "trimesters." The first trimester begins in late August and ends in mid-December. The second trimester begins after MLK Day (so the winter break is four weeks long) and ends in late March. The third trimester begins in late April and ends on July 21st. I like to call this the "British Calendar" because it actually resembles the school calendar used in the UK, which also divides the year into three terms. (The UK also six half-terms though, which aren't included in the San Diego calendar.) Yes, school in the UK this year lasted all the way until July 21st (or at least the week before the 21st) -- this explains why the release of the final books in the Harry Potter series (including the "eighth book" published this year) are always in late July, right when British kids are off for the summer. But San Diego is planning on eliminating the Year-Round Calendar in the next few years, with all schools reverted to the traditional calendar.

Meanwhile, in Chula Vista (right next to San Diego), there's another Year-Round plan. A few years ago, I was surprised when I heard that the Chula Vista Little League players (who were on their way to the World Series) had trouble practicing because school had already started for them. So I looked it up and saw that in this city, the Year-Round Calendar is divided into four quarters. The first quarter began on July 20th and ends in mid-September. The second quarter begins in early October and ends in mid-December. After a three-week winter break, the third quarter begins in early January and ends in mid-March. The fourth quarter ends in early April and ends in early June. I like to call this the "Australian Calendar" because it actually resembles the calendar used in that country. In fact, if we add six months to the first day of school (in order to take the difference between Northern and Southern Hemisphere seasons into account) we obtain January 20th. Many schools in Australia did begin the first of their four terms around January 20th (or at least the week after the 20th).

Putting these together, notice it's possible for there to be two children, born the exact same day and living less than a mile apart (one in San Diego, the other in Chula Vista). Last Wednesday, one of the children attended the first day of school as a sixth grader -- and the very next day, the other child celebrated the last day of school as a fifth grader!

Wednesday, July 20th: First day of the 2016-17 school year in Chula Vista
Thursday, July 21st: Last day of the 2015-16 school year in San Diego

(Notice that in Chula Vista, the second day of school was Pi Approximation Day.) Unlike San Diego, Chula Vista currently has no plans to abolish the Year-Round Calendar.

So we see that there are various kinds of academic calendars -- some so different that even two adjacent districts can have "summer break" fail to overlap even by a single day. This mess raises the question, what exactly is the definition of "summer" anyway?

Definition of Summer

We think of summer as the time of year when the days are longest -- conversely, winter is the time of year when the days are shortest. But when are the days the longest, anyway? Naturally, the longest day of the year is the summer solstice, which is on June 20th or 21st. But if you think about it, by symmetry we expect the days leading up to the solstice to be as long as the days after the solstice -- for example, the day length for May 31st (three weeks before the solstice) should be the same as that for July 12th (three weeks after the solstice).

So if we want "summer" to be the quarter when the days are longest, then the season should begin halfway between the spring equinox and summer solstice, and end halfway between the solstice and the fall equinox. As it turns out, many pre-Christian cultures gave names to these days. The day on which summer begins, halfway between the spring equinox and the solstice, is called Beltane, and the day on which it ends, halfway between the solstice and the fall equinox, is called Lammas. Similarly, winter begins halfway between the fall equinox and the winter solstice, or Samhain, and ends halfway between the solstice and the spring equinox, or Imbolc.

Thus Beltane is in early May, Lammas in early August, Samhain in early November, and Imbolc in early February. These dates are used for a variety of modern holidays -- for example, Beltane is also known as May Day, Samhain is known as All Saint's Day, and Imbolc is Groundhog Day. (It's possible that the Assumption of Mary is tied to Lammas.) This explains why we need a groundhog to determine the start of spring, because Imbolc marks the end of winter -- the darkest quarter of the year. In China, Imbolc is known as Lichun -- which explains why Chinese New Year always occurs in late January or early February. It's intended to mark the new moon closest to Lichun -- which explains why it's also known as the Spring Festival.

If this is the case, then you may be wondering, why do we usually think of summer as beginning on the summer solstice and ending on the fall equinox -- meaning that summer is when the days start getting shorter during the entire season?

The reason for this is that the temperature always lags behind the light. The hottest day of the year is often months after the longest day of the year, and the coldest day of the year is often months after the shortest day of the year. This effect is most pronounced near the coasts due to the high specific heat of water -- it always takes extra time for the temperature of water to react to the sunlight.

For example, many people dream of a White Christmas, but on the East Coast, it's often said that a White Easter is more common than a White Christmas (or as the saying goes, "Green Christmas, White Easter"). This is because due to the largest temperature lag at the coasts, the coldest day of the year isn't merely after Christmas, but after Imbolc, and is actually closer to Easter than to Christmas, especially when Easter is early.

Here in Southern California, it doesn't snow, but coastal temperature lag is most noticeable here for the summer season. The weather is often cool and cloudy in June -- known as the June Gloom -- and often becomes hot and windy in the fall -- known as the Santa Ana winds. Because of this, the hottest day of the year is usually after Lammas (August), and sometimes even after Labor Day.

Suppose we wanted to take weather into consideration, and we wanted to come up with a different calendar for each state based on its climate. We look at the following:

-- Coastal states should have later school starts than landlocked states. This reflects the fact that warmer weather starts and ends later on the coasts.
-- Snowy states should have earlier school starts than rainy or dry states. This reflects the fact that we don't want make-up days due to snow to last past July 1st, and especially not July 4th. (This is also why I don't just blindly say "make summer vacation the hottest months" -- here in Southern California the hottest months are August and September, but we certainly don't want our school year to run from October to July.)

Given these two constraints, it turns out that one of the best states for a Labor Day Start Calendar may be my home state of California. Hot California Augusts fuel the desire to wait until Labor Day to start school, and there's no chance of snow make-up days pushing the end of the year into July. For years, California schools mostly began after Labor Day, but as we know, the current trend is for school to start in August here.

The last holdouts for the old Labor Day Calendar is in the Northeast -- mostly in New Jersey, New York, and New England. But this area is of course highly prone to snow (Nor'easters), and so the worry is always that there will be too many snow days threatening to push school into July. (In fact, in the Northeast the last day of school is often Tau Day, June 28th.)

The Midwest has always been the best region for Early Start Calendars. In these states, the last day of school is often in May. This explains why national AP tests must be given in May -- the test must be before the last day of school in the Midwest. This is much to the chagrin of coastal states where there's often a month of wasted time after the AP is taken.

We know that the main driver of the Early Start Calendar is high school finals. But still, I can't help but notice that while the old calendar ran from September to June (approx. the fall equinox to the summer solstice), the new calendar often runs from August to May (approx. Lammas to Beltane). It is almost as if the old summer break was designed to track the hottest days (from solstice to equinox) while the new summer break is designed to track the lightest days (from Beltane to Lammas).

But the goal of the Early Start Calendar is to have the first semester finals before Christmas -- that is, the winter solstice. (Most scholars don't believe that Christ was actually born on December 25th, but that Christmas is ultimately a winter solstice festival.) So it makes sense that if we want the winter solstice to be the midpoint of a school year that spans about 3/4 of the year, then it should begin 3/8 of a year before the winter solstice (which is Lammas) and end 3/8 of a year after the winter solstice (which is Beltane). If we want the school year to run from fall equinox to summer solstice, then the semester point needs to be Imbolc, not the winter solstice. (Recall I once posted a link to a joke proposal to move Christmas to February, which would solve the problem -- since again, Christ most likely wasn't born on December 25th anyway.)

So that explains why I'm getting ready for Back to School in August. Before I leave the topic of calendars, notice that the Year-Round Calendar still used at one LAUSD high school is naturally divided into eight parts, so it fits the eight seasonal markers. So A-Trackers are off from near the summer solstice to Lammas, and D-Trackers are off from just after Halloween (which is actually Samhain) through Christmas (the winter solstice).

Managing the Academic Calendar and 80-Minute Block

I've mentioned before (when discussing the Unexpected Hanging Paradox) that students believe that they are entitled to the last 10% of any stretch of academic time. Therefore, they feel that they shouldn't have to do work the last 10% the school year (which works out to be the last 18 days), the last 10% of a "term" (which here I'm using in the British sense as the period between major breaks, so here I mean the last week before winter break or spring break), the last 10% of the week (Friday afternoons), and the 10% of the period (the last eight minutes for me).

If we think about it, students believe that they are entitled to the first 10% of any stretch of academic time as well. So students will complain about working the first 18 days of school, the first week after winter or spring breaks, Monday mornings, and the first eight minutes of the period.

Of course, this is all nonsense. If there were really no work the first 10% and last 10% of the school year, then that means there would be only 144 days of school, not 180. And deducting the weeks before winter and spring breaks would mean that there would be only 124 days of school.

When I begin teaching, one thing that I will tell the students is that "We do math everyday in this class, from the first day of school until the last day of school." Seen another way, here are the only days when students don't have to do math:

-- Saturdays
-- Sundays
-- Wednesdays, for 7th graders (since 7th grade math block doesn't meet on Wednesday)
-- Holidays (by which I mean non-school days, others students won't do math on Halloween)
-- Any SBAC or other special schedule days when math block doesn't meet

Does this means that there will be no days of fun in my classroom? Well, we can certainly have fun in my class, as long as it's math. If you believe that math is never fun, then that means that we will never have fun in my class (but still I hope that at least that Pi Day will be fun, if even for just a day).

I want to write about the smallest and most common unit of time to manage -- the block. Most blocks will be 80 minutes in length, and I want the students to do something mathematical for the entire eighty minutes. This is what I want the typical 80-minute block to look like:

10 minutes: Warm-Up
10 minutes: Go over homework/previous day's lesson
20 minutes: New lesson (Foldable note taking)
10 minutes: Music break
20 minutes: Guided practice
10 minutes: Closure/Exit Pass

Notice that about halfway during the block is a "music break." This is a compromise between my goal that students work the entire 80 minutes and the reality that students won't want to concentrate on math the entire 80 minutes.

Back on Pi Approximation Day, I linked to a video where the digits of pi were used to make a song:

3.1415926... = E-C-F-C-G-high D-D-A...

(Over a year ago, I wrote about the controversy when someone tried to copyright pi!) The video also used some of the notes to make chords, as in:

3.1415926... = Em-(C)-Fmaj-(C)-Gmaj-(high D)-Dm-(A)...

Well, I wish to do the same in my own classroom. Every few days, I take a random number and convert the digits into notes:

.3842213648 = E-high C-F-D-D-C-E-A-F-high C...

Using chords, this becomes:

.3842213648 = Em-(high C)-Fmaj-(D)-Dm-(C)-Em-(A)-Fmaj-(high C)...

I then write these notes and chords into a simple song, which I then play on my guitar. Afterwards, I add some simple lyrics, which must be about math. Usually, I'll try to write three verses -- one each for sixth, seventh, and eighth grade math. Then I'll play the song and sing the corresponding verse during each block.

Now you can see that this accomplishes several goals. First, it provides some students with a break, yet allows other students to reinforce the math they just learned. Second, it provides me with a time incentive -- if we can cover the new lesson in less than 20 minutes, then there will be extra time for the music break (so that students might want to cooperate more). Third, if I can come up with some catchy or funny lyrics, students might remember the material better. I admit that I'm not a comedian, but perhaps the students might come up with funny lines to add to the song. Just imagine months later when students claim that they never learned something, only for me to prove them wrong when I play the song which taught them what they'd forgotten!

For certain lessons, a song from the old show Square One TV may be appropriate. For example, Module 8 of the eighth grade Illinois State text is "Tessellate a Structural Design," so at that point I can play the Square One TV Tessellations song. In any case, if the students ask me to play some famous or popular song, I'll tell them that I only play math songs.

I know that all of this will be much work. But I believe that it will be worth it in the long run -- to have students more engaged during the entire block.

The Willis Unit

How will I deal with the other 10% periods of time when students won't want to work? Well, as far as Monday mornings and Friday afternoons are concerned, my participation points system (mentioned in previous posts) is designed to encourage students to work during those times. In particular, I will allow students with the most points to earn a small reward (possibly candy, as I mentioned back in my Father's Day post).

My original idea was to give out rewards to each period once a week, using the following pattern:

Monday -- 1st Block
Tuesday -- 2nd Block
Wednesday -- 3rd Block
Thursday -- 4th Block
Friday -- 5th Block

Notice that first block would receive a reward on Monday -- when these students are probably tired and unmotivated to work. And fifth block would receive a reward on Friday -- when these students are probably excited and unmotivated to work.

Based on my school's schedule, fifth block is always P.E., so I wouldn't actually be giving out any rewards on Fridays. Monday's first block and Tuesday's second block are the same seventh graders, so I won't give out rewards both days -- instead, I'll give them out only on Mondays, when they'll need more motivation. Wednesday's third block is eighth grade and Thursday's fourth block is sixth grade, so this is when they'll receive their rewards.

Even though there is no reward on Fridays, I'll continue to use Fridays as activity days -- recall that the Illinois State text is full of activities and projects (and I may use some activities from texts other than Illinois State as well). This will continue the tradition I established on the blog of letting Friday be an activity day.

The weeks surrounding winter and spring breaks will be difficult, but then again, it's months before I have to worry about those weeks. But right away, I'll have to deal with the first 10% of the school year, when students will complain that they shouldn't have to do math during the first day, or week, or 18 days of school.

I refer to the first 18 days of the school year as the Willis Unit. I named this time of year after the last name of the first student I met, a girl, who wanted to talk me when I moved as a freshman. But if you prefer, you can take the name Willis to refer to Paul Willis, the British education theorist:

https://sociologytwynham.com/2008/12/27/willis-anti-school-subculture/

(It's also possible to call it the Wong Unit, since after all the Wongs wrote about the first days of school in their book.) According to the link, Willis wrote about an "anti-school subculture":

-- Kids who join an anti-school subculture go against the main culture (norms & values) of the school
-- These responses include not doing homework, disrupting lessons, messing around, breaking school rules
-- They tend to be placed in the bottom sets or streams [academic tracks -- dw] and invariably are working-class
-- They gain their status with their peers by doing the above as the school system has labeled them as 'failures'

And of course, this sounds just like many of the students who will be in my middle school classes. I gave this type of students a name in a previous post -- the U-kids. So the Willis Unit, the first 18 days of school, will be critical to my success as a teacher, to make sure that this anti-school subculture doesn't take over my classroom (especially since, as I suspect, many kids make the choice to join the anti-school subculture during their middle school years).

Here are my plans for managing the Willis Unit:

-- I must make sure that the students understand the rules and how I will enforce them. They must know that the class will be run for the benefit of the E-kids, not the U-kids.
-- Students are to know that they can and will be successful in my class. Notice that my sixth graders will be the last grade to take its first scheduled test, which will be on Day 17, and the tests will be returned to them graded on Day 18. This is where the name Willis Unit comes from -- it actually refers to the first unit of the lesson plan. By the end of the Willis Unit, every student will have received a test grade -- and if they see a low grade on that first test, they may choose to enter Willis's anti-school subculture. So during the Willis unit, I need to make sure that as many students are successful on that first test as possible.
-- I will also remind students of the importance of learning math, in the hopes that students will choose to reject the anti-school subculture.

The Tomb of the Unknown Soldier

I've mentioned before that I might take ideas from Danica McKellar's Girls Get Curves series to help motivate my girls to learn math. But this doesn't mean that I won't try to motivate the boys or get ideas from boy sources.

In particular, I was reading last September's issue of Boys Life magazine, which attracted me because it was the STEM issue. There were many articles about how STEM can shape the future -- for example, one article was about setting up colonies on the moon, and another was about a candy scientist who works in Hershey, Pennsylvania. In explaining how students can get on this career path, the candy engineer suggested that students take as many math and science classes as possible.

But ironically, the two articles which inspired me the most from this magazine have nothing to do with STEM at all. One was an article about role players in the NFL -- players like kickers, punters, and return specialists. Earlier this month, I wrote that every student should try to be the top student in the class, just as every player wants to win a championship.

Originally, I wanted to write "just as every player wants to be the MVP." The only problem is that there are football players -- such as kickers, punters, and returners -- who essentially have no chance of ever being MVP. The same is true in baseball -- we rarely give MVP awards to pitchers, especially not relievers, most especially not middle relievers. Perhaps in basketball, which is less positional, we can say that any player can theoretically become the MVP.

Still, kickers, returners, and relievers all contribute to the success of the team -- despite their different skill sets. Likewise, all students can contribute to the success of the class -- despite their different skill sets.

Now the other magazine article that inspired me was about the Tomb of the Unknown Soldier. I remember learning about it in elementary school -- in Arlington, Virginia, there lie three American soldiers who fought in World War I, World War II, and the Korean War. They died in battle and their identities are uncertain, hence the name "Unknown Soldier."

But one thing I didn't know about the tomb before reading the article is that there is a guard there. His duty is to march back and forth at the tomb, exactly 21 steps in each direction, over. He must do it no matter what the weather, and continue marching heavily armed until the Changing of the Guard, which is 24 hours later.

Of course, many people have heard of the British Changing of the Guard, but I never knew that there's an American Changing of the Guard as well. The British guards are famous for being highly disciplined, and the American guard is no different. I don't know how long a British guard's shift is, but the article tells us that the American guard's shift is 24 hours -- and that he must work three out of every nine days. Think about it -- the guard must keep on marching. He can't eat for 24 hours -- he can't sleep for 24 hours -- he can't even use the restroom for 24 hours. And all of this is just so he can guard, not a living person (like the Queen), but a tomb!

Why am I writing about this? Well, today's post is all about time in the classroom. Many of my students will eat and sleep in the classroom and ask for passes to the restroom. Apparently, they can't go 80 minutes without doing these things. And yet the tomb guard can go 24 hours -- that is, eighteen times the length of the class -- without doing any of these!

So we ask, why can't students go 80 minutes without going to the restroom, anyway? Well, let's think about it -- do teenagers need to go to the restroom as often on weekends or in the summer as they do on school days? Seriously, I doubt it. Students really ask for the restroom passes because they are bored in math class -- that is, they are much more likely to want to go to the restroom when they are bored than when they are entertained. If math class and school could be made more entertaining, then the students would be able to go hours without going to the restroom.

But again, we must compare this situation to that of the tomb guard. Don't you think that the tomb guard sometimes gets bored out there, doing nothing but math for 24 hours (albeit the simplest kind of math, namely counting to 21)? Again, the guard does shake off his duties merely because he happens to be bored, or even tired.

I'm proud to say that I completed three full years of school -- Grades 10-12 -- without asking for a restroom pass even once. How did I do it? Each day, I would use the restroom:

-- Before school
-- During nutrition
-- During lunch
-- After changing from street clothes to P.E. clothes (as I was on the track team)
-- After changing from P.E. clothes back to street clothes

That's five times per day that I went to the restroom. Now 5 * 180 = 900, so that's nine hundred times I used the restroom per year, and that was for three years (Grades 10-12) . So that's a grand total of 2,700 times that I used the restroom -- without missing even one second of class time! Again, I might have been bored and didn't enjoy certain classes (like history), yet I didn't ask for restroom passes. I would much, much rather preserve a reputation as one of the brightest and best-behaved students in the class and earn as many A's, B's, and E's as I could.

I could tell this story in class, but I don't think it's fair to compare myself as a 10th-12th grader to my students who are 6th-8th graders -- on average, four years less mature. And I don't claim perfection during my own years in Grades 6-8 -- I didn't ask for restroom passes very often, but I almost certainly did use the restroom at some point during class during these years.

Still, I do wish to minimize passes in the classroom. As a sub, I'd say that the most annoying request for restroom passes was when students would ask for one before class even begins -- and this was especially the case when it's a class right after nutrition or lunch, when they could have just used the restroom five minutes earlier without asking for a pass at all. Dealing with restroom passes right at the start of class often throws me off -- it makes it harder to take attendance, plus it means that I'm not getting the students on task, which then allows the U-kids to take over the class. (Actually, I should say the other U-kids, since as far as I'm concerned, anyone who asks for a pass right at the start of class is a U-kid.)

I was considering letting each student start each trimester with, say, two restroom passes, and then each student can earn an additional pass for each A that he or she earns. (This would include Dren Quizzes, on which every student should be earning an A.) But this means that I'd have two different things to keep track of -- restroom passes and participation points.

It's much easier on me just to make restroom passes part of the participation points system. Basically, each restroom pass costs the student a point. If the student doesn't return in, say, five minutes, then it costs another point. This fits into the existing point system -- so if the student doesn't return and has already used up his or her points, a detention is assigned.

This plan will become more severe at certain times:

-- On Wednesdays, when classes are only 50 minutes long, students should be able to go 50 minutes without going to the restroom even if they can't go 80 minutes. On Wednesdays, a point is deducted every three minutes, rather than five minutes.
-- Right after nutrition and lunch, again I will deduct points more often.
-- If an administrator tells me that I'm sending too many students out, or if there is a disturbance in the restroom, then again I will deduct points more often.
-- I'm considering having a rule that if a student asks for a pass before class even begins, then that student can't go at all during the 80-minute block. If the student then leaves the room anyway, then this would count as leaving the room without permission (or defiance).

There may be one time when this plan becomes more lenient -- during the music break. I still deduct points, but I will only deduct one point for the entire ten-minute music break. Also, this will be the only time that I let two students use the restroom rather than just one.

The Loneliness of the Long Distance Runner

As I alluded to above, I was on the track team in high school. Indeed, I was a long distance runner -- I ran Cross Country in the fall and the 800 and 1600 in the spring. Last year, I wrote about the movie McFarland, a Cross Country film. I recommend you watch that movie if you want to learn more about the One True Sport (as everything else is just a "game").

Throughout my middle school years I'd never thought of myself as a distance runner, but after performing well in the mile run as an eighth grader, I was recommended to join the Cross Country team as a freshman. To me, three miles seemed like an impossibly long distance to run, but still, I joined the team. In the fall, I finished my first race in under 25 minutes, and a few weeks later, I was running under 21 minutes at the Dana Hills Invitational. But unfortunately, I didn't run in the last race of the season, League Finals, because that was the week when I switched schools.

I did join the Track team at my new school, and ran in the distance races. The following summer, I worked hard and trained with the Cross Country team. As a sophomore, I broke 20 minutes at the Woodbridge Invitational. And the following year, I broke 19 minutes at the same race.

But I consider my greatest running accomplishment to be during my senior year. At a time in their careers when many runners stopped improving (except for the varsity runners, whose times were already under 17 minutes), I kept on getting faster. At the last race of the season, League Finals, I broke 18 minutes. I'll never forget crossing the finish line for the last time and realizing that I had run my fastest race ever. Meanwhile, my best time for the 1600 was just over five minutes.

One thing I've noticed is that distance runners tend to be above average academically. Indeed, in the movie, all seven McFarland runners end up going to college! I believe there's a reason for this -- distance running requires endurance -- the same type of endurance that can help a student survive a long two-hour final as well as a 15-to-20-minute race.

Again, I point out that many students believe that they are entitled to have the last 10% of a period, week, term, or school year free. Now let's apply this to a Cross Country or Track race -- we'll just stop running 0.3 miles away from the finish line in Cross Country, or 160 meters away from the finish line in the 1600. Yes, that would definitely look silly, and such a runner would not be able to win the race -- yet that is exactly what a student who believes in having the last 10% of academic time free.

By the way, the Olympics is coming up. In Track, much of the emphasis will naturally be on the sprint races, the 100, 200, and 400 (especially the sprinter Allyson Felix). But I recommend that you watch the distance races as well. I remember watching the distance races at the Olympic trials and saw some amazing results -- for example, Bernard Lagat won the 5000 meters (about the same distance as our cross country races), but what was amazing is that he did so as a 41-year-old! And another interesting middle distance runner is Brenda Martinez, who was tripped up during her 800 trial but recovered to qualify for Rio in the 800.

More Comments from Traditionalists

Yesterday, the traditionalist Bill responded to an article at the Joanne Jacobs website. As it turns out, the article is about academic time -- so it fits the topic of today's post perfectly. As usual, let me link to the article and then the Jacobs website where Bill commented:

http://www.heritage.org/research/reports/2016/07/big-debt-little-study-what-taxpayers-should-know-about-college-students-time-use
http://www.joannejacobs.com/2016/07/college-learning-takes-2-76-hoursday/

According to the article, college students spend only 2.76 hours per day studying. Here is Bill's response to the article.

Bill says:

The average time to study per class in a STEM major (non-core coursework) was usually at least 90 minutes per class per day, or an average of 18-20 hours a week (at a minimum), and if you’re in lab science courses, you usually had a lab course meeting once a week for 3 or 4 hours at a time (esp. in Chem/Bio/Physics), outside of class, given a 12-14 credit hour per semester (which would also require 3-10 credits in Summer session for lower division coursework in the 1st two years).
SIGH

Bill's point, of course, is that if these students really want to leave college actually knowing enough to be competent at a STEM career, they should be spending at least double the time on education as they actually are.

Here are a few other interesting comments, written by posters other than Bill. The following is an article about teacher pay:

http://www.brookings.edu/blogs/brown-center-chalkboard/posts/2016/07/25-teacher-cognitive-ability-world-startz
http://www.joannejacobs.com/2016/07/u-s-teachers-middling-skills-low-pay/

Deirdre Murphy says (skipping to the part I wish to focus on):

If you compare them [teacher --dw] to doctors and nurses and engineers, they get paid less, but…those are all people who can do math…..
In a sense, the low pay may be a reflection of how little math the career entails. Pay seems to correlate with math, and as the researcher said, most teachers aren’t very math-y.

...except math teachers, that is. Still, the point I wish to make is that my students should work hard to learn math, because, as Murphy writes, "pay seems to correlate with math."

Meanwhile, earlier I wrote about how we, as teachers, will have to deal with cell phones. Well, here will be a major time-waster for our students -- Pokemon. Soon will be the first time since the release of the super-popular app that students will be in school:

http://www.joannejacobs.com/2016/07/pokemon-go-is-it-more-than-a-fad/

At the link (and this was brought up at the California Teachers Summit), it is suggested that teachers try to take advantage of the popularity of Pokemon Go in their classrooms, but this may be tricky.

GEORGE LARSON says:

” if we were to turn Pokémon into a school subject, ‘certain children, many of them poor, would all of a sudden have trouble learning Pokémon’.”
If it becomes a school subject it will no longer be “cool”, the thrill of self discovery will disappear and play will become work, not to mention the possibility of it being poorly or boringly taught in school. Do we need to trick children into an education?

Anyway, here is the fourth rule that I wish to implement in my classroom.

Rule #4: Respect Your Class Equipment.

In my next post (in about a week), we will look at my fifth and final classroom rule. Enjoy your Lammas -- er, the last few days of your summer break.