I enjoyed today because it is one of the days I look forward to all year long. I'm idiotically happy whenever I get to teach students how to convert mixed numbers to improper fractions. I still remember how much fun I thought this was when I learned how to do it in junior high school. Yep, I didn't learn much of anything about fractions until junior high and until after seveth grade. My classmates and I were the victims of New Math.
I was okay with New Math for the first 2 years I had it. We did a LOT of set theory, and I do think it has made me a greater thinker than I would have been without it. Maybe I'm just smart and it hit me where I had a talent, but it made sense and wasn't at all painful. Then seventh grade came and HOLY HECK.
I've blocked out most of my seventh grade memories, but I'll always remember how desperate I felt. All of my teachers were secondary teachers--no more gentle souls tottering around in sensible shoes. My teachers were men (!) and aggressive young women's libbers. They were subject-area teachers and didn't seem to notice that seventh graders were 12 years old, not 17, and not ready to write essays. No one had taught us how to write essays and research papers and we were suddenly expected to--complete with footnotes, typewritten on my dad's old Remington, with ibids and ob sets. (Forgive me, Latin-teaching daughter. It's been more than 40 years. I'm sure I messed that up.) The entire experience was unnerving, but the math was horrendous.
We had to learn Math In Other Bases. If you can't wrap your head around why this was a problem, let me give you an example. In base 2, 1 + 1 equals 10. It made absolutely no sense to me, nor did base 5 (4 + 4 = 13. Really.) I couldn't have been more gobsmacked. I developed an aversion to math, limped through high school and graduated with 1.5 math credits. (If you wanted to get a diploma without doing much work, the 70s were a wonderful time! Even my dumb ole brother graduated. In fact, he graduated a year early by taking senior English at summer school after his junior year.)
Back to the math--why is it now my favorite subject to teach? I went back to college when I was 36 and had to take the required teacher math courses. Angst time! However, maybe 36 is the magic developmentally-ready-for-math-age, because I excelled. It all made sense, including the chapter on math in other bases. Emboldened by my success, I took even more math courses and found a favorite professor who cheered when I would solve problems in a creative way.
And, because I struggled so mightily with math when I was 12, now I have sympathy for my students. Some math (long divison, for example) is just hard. Buck up and learn to do it, and I'll be here to help you all that I can. But some math is so easy that it's fun to do, like converting mixed numbers to improper fractions. You multiply to the left and add to the right--we step to the left and slide to the right as we say it. At least I do. And today, everyone was riding along with me on my high, and everyone--every single one--was able to do it by the end of the lesson. Some won't have it tomorrow, but they'll pick it up again and feel happy that they've learned they can be competent about math.
Maybe tomorrow I'll tell about my colleague who told my Title 1 math students today that she's a better math teacher than I. ("It's not true!" Braided Boy said. "I never understand anything she's talking about and you explain things to us.") Or maybe I'll let it go and just consider the source.