How many of you guys train your students to “tell the story of x?” Once when I was substitute teaching as a coteacher in a middle school math class, the teacher revealed a strategy… and I’ve used it ever since. Instead of just “solving an equation,” they framed it like this: “X was sitting there minding its own business…. Until things happened to it. “Why isn’t x by itself?” It gets multiplied. Stuff gets added to it. Sometimes it gets trapped inside parentheses like a tiny hostage 😅 And your job? * Figure out everything that happened to x… - then undo it step by step to get back to the original value. It turns math into less of a “what do I do???” and more of a: “what happened here…?… and how do we get back?” And honestly… students get it so much faster this way. I’m curious— Do you teach like this? Would this have helped you when you were learning? Or if you’ve never heard it framed this way, what’s your reaction? Lemme know if you want to see this strategy in action! Drop your thoughts 👇
Often, I hear exactly that… “well, two negatives make a positive….”, the students say. Sometimes they’re right. And sometimes, they’re wrong. Can you follow my vague, barely-told story and fill in the details? When would they be right? When would they be wrong?
@Robert Ferney I like that. Yeah I use that rotation idea a lot. The adding I talk about “a tug of war.” If 4 are pulling in the negative direction, and another 3 join em on that side, it’s obviously going more negative. That also helps when they’re different signs, the answer will end up on the side with the “stronger team”.
A student told me one time, “yeh yeh. Ya can’t divide by zero. No one knows why, but it’s a rule.” Now hold up just a minute! Nobody knows why? Y’all tell him why…..
I usually put 20/x = 2. Most or the time they can tell me x is 10, since the denominator times that 2 would give a product of the numerator. Then I put a 20/0 = x. It implies there’s something that denominator could multiply by to give me the numerator. Can’t happen! Then someone mentions “you could divide 0 by 0.” And we discuss the ambiguity, and how x could then be literally anything!
I started thinking about math songs today… and it kinda spiraled… I’m working on writing notation for the skip-count songs I learned in elementary school, and it made me realize—everyone has their own version of these. Like the Quadratic Formula song… mine is a call-and-response to the tune of Frere Jacques! Now I’m curious— What sounds or songs come to mind when you think of math? Is it: • a song you learned? • a rhythm or pattern? • complete silence and confusion? 😅 I wanna hear all of it.