Wednesday, November 7, 2012

More Fraction Multiplication


My 7th grade students are in the middle of exploring fractions.  They are currently researching the question:

What are fractions and how can I add, subtract, multiply and divide them?

I'm not sure how much instruction I want to give here. Is this intuitive? What can I do to make this more usable?

 Applet with more instruction is here.

Update
John Golden:




Good idea.  Updated version.


Saturday, November 3, 2012

Please Wu, Don't Hurt 'Em

Yes, this is a mission that Wu's on—taking out the weak.

Hung-Hsi Wu
[Textbook School Math] gives students (and teachers) a gimmick; the CCSMS require that students actually learn mathematics.


You can't touch this.

Friday, October 26, 2012

Integrated Teaching

For the past six years, our middle school science and social studies departments have kinda been given the short end of the stick.  The minutes given to math and ELA doubled at the expense of these two departments.  I don't know what the teachers were worried about, though, because only the 8th graders are tested and the test only covered, I don't know, three years worth of standards.  (And besides, Jason says teaching science in CA is easy.)
This year we decided to give some relief by reducing the minutes to math and ELA and adding a semester of integrated math/science and a semester of integrated ELA/social studies to each student's schedule.
My assignment this year is to teach one section of 7th grade math and four sections of the integrated class.  It's been tough because we are really creating this class as we go.
So far, this is what I've learned:

  1. Students will do exactly what you tell them to do.  

  2. Students have trouble breaking large (essential) questions down into smaller (guiding questions) questions. 

  3. Students think "try harder" is a plan. 


  4. Polya and the guys who invented this were life coaches.   


  5. Establishing protocols is essential. 

  6. Scaffolding doesn't just refer to content. 

  7. Changing "Why?" into "Tell me more about that" is magic. 

  8. "Common knowledge" isn't so common.  

  9. We need to do a better job of helping students distinguish between opinion and argument. 

  10. After 16 years of teaching, I still get excited when students realize that thinking is better than memorizing. 

  11. Any list worth reading stops at 10.  













Wednesday, October 24, 2012

The Best Thing

I'm overwhelmed.  I'm tired.  I have pockets of excellence in a sea of mediocrity. My wife deserves more than I'm giving. My two-year-old is challenging every thing I ever thought I knew about parenting--we have put child locks on the freaking upper cupboards, for crying out loud. My other boys need more of me.  Four of my five periods are spent teaching a class we are inventing as we go.  I'm convinced that everything revolves around the scientific method or some variation of it.  Questions still are way more satisfying than statements.  My planning is always weaker than the adjustments I make in the middle of the period.  A good problem is more engaging than engagement strategies, but I don't know enough good problems.  Expo markers dry out way too fast.  Some of my students have bigger problems than I'll ever encounter and somehow I have to make what we do matter. 



And yet, my students keep showing up, my boys still greet me with "I love you, Daddy" and my wife still loves me.  




And tomorrow, I get to be better.  


Friday, July 27, 2012

A Closer Look at Why

David Coffey:
For years I taught as others taught and I do not want to go back to those times. I am comfortable and confident in my teaching but that is not to say complacent. Thanks to all of you, I continue to find ideas that inspire me.

This is what makes Dan's most recent series of posts so important. Posts outlining specific classroom activities are important as they give us insight as to how we do what we do. As David alludes to in his post, these ideas are important, but they're limited in the I'm-not-you-and-you're-not-me kind of way. The Ladder of Abstraction is bigger than any specific activity as it get to the heart of why we do what we do. It's not limited by the skill set of the teacher. In fact, it's the one thing we all have in common, but until now, has been a bit nebulous. As this unfolds, I think we will see more great ideas come out of the mathtweet-o-blogosphere.
- Posted using BlogPress from my iPad

Sunday, July 15, 2012

When Engagement Strategies Attack

Just watch this.
h/t @mpershan

We have to be really careful here. Total physical response is great. Having common responses to things in class can be very effective (and fun). But to call this "whole brain teaching" is troubling when many students are mindlessly following mirroring.

I've had a problem with the use of "engagement strategies" for a while. It's as if we are buying into rhetoric sans argument; looking at the accidents and ignoring the essence.

Stop it, already.


Sign below.

I was warned.

x ________________________




- Posted using BlogPress from my iPhone

Saturday, July 14, 2012

Creating Audiences

I've tried to stay out of the Khanversation, at least here. Occasionally, I'll throw a tweet or two out there, but no official statement. However, the latest Vi Hart video has me confused. So confused, in fact, that after my first view, I thought she had just called out Khan Academy.

Vi's video posits that true artists tend to break the previously held rules of maximizing one's known audience by clearly addressing them via existing channels. In essence, an artist creates her audience. I originally thought she was taking aim at Khan Academy with this video until it was pointed out to me that right around the 2:07 mark  she says,

"There's a reason that people prefer my videos which ramble through my thought process or Sal's Khan Academy videos which he makes in real time..." 

Vi actually aligns herself with Sal as if what they do are Khansubstantial.

I Khan't disagree more.

I don't think I have to argue that Vi Hart creates her own audience, but to say Khan Academy does the same thing is, well, just wrong.

Let's take these three points one at a time.

1. Know your audience and address yourself directly to it.
Sal's audience is every student who ever asked the question, "Can you show me how to do ?" This is a prevalent view of education. Give kids enough knowable things and they'll sort out which ones they'll need at a later date and which ones they can discard. Unfortunately, the real point that gets missed is that this approach actually robs students of the opportunity to learn how to discern between what's important and what's unnecessary noise within the actual learning process. There is no co-production between Sal and his audience (at least in the videos I've seen) as his audience is the consumer.

2. Know what you want to say and say it clearly and fully.
Though his videos may not be scripted, Sal knows exactly what he wants to say. The fact that he makes his videos in "real time" doesn't hide the fact that he's taking a message that's highly glossed and falsely making it seem rough around the edges. He's basically taking a belt sander to a new pair of jeans and telling us he's worn them for years. Taking an "aw, shucks" attitude into the videos is really no different than a politician putting on a hard hat with the good ol' boys down at the factory and saying, "see, I'm one of you."


The message is very clear: Here's what you need to know, now know it


3. Reach the maximum audience by utilizing existing channels.
Interwebs.
Q.E.D.

I believe Vi when she says she's making videos for the only person she truly knows: herself. As a result, she's come to know and be known by many. Sal, on the other hand, is playing to an audience and adjusts to feedback.

As for the suggestion that those of us who criticize should make our own videos, here you go, I have an entire library of real time videos, many of which were recorded before a live studio audience group of students. These videos were inspired by their questions. They aren't anything special, but for the kids who asked the questions, they meant a lot.  For those of you who prefer to follow the textbook, I've got you covered.[1]







[1] Keep in mind that these videos were not intended to be initial instruction.  They were intended to be a resource for students who needed a reminder or an archive of past conversations.