"Oh, I'm done. I was just messing around with a different way to solve this. Let's go."
Unlike Bruce, I'm not one of those "math people". But I work at it. I passed college algebra and calculus; actually I got really good grades in those classes. I did it by teaching it to the other students in the study group that I formed. Through that experience I realized that most math teachers shouldn't be. And the truth is many of them don't really want to be; they want to be mathematicians and teaching the schmucks like me pays the bills (or they want to coach full-time ;-) ).
Now I teach math to my kids and a few of the neighbor kids. One of the consistent bits of feedback goes something like this: "Wow Mr. Facer, you're really good at this. The way you explain it totally makes sense. You should be a math teacher." I chuckle and think silently to myself, "I already am."
But seriously, why is it so common for children to have this experience where math is such a difficult discipline? Certainly my experience growing up was that once we made the jump to algebra, to variables, to complex formulas, I was lost. There was a small group of my peers, maybe ten or twenty percent that kept up, and the rest of us were left drowning. I think it's because for non-math people, it needs to be explained in better detail, with more of the "why" and illustrated in multiple different ways; until you reach the example or illustration that clicks with that particular student.
When I teach math, here's what I do:
- We do NO math without scratch paper.
- We show all the steps, every time.
- I explain the concept different ways, and we work it different ways until I can tell it has registered.
- We don't move on at the right answer, we move on when we have the right answer plus comprehension.
- I check comprehension by having the student explain it back to me.
This year, one of the neighbor kids has trigonometry. I never took trig, but I like it. Between the text and the internet we're figuring it out. I really like math. It's a darn shame that it took more than thirty years for that to happen.
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