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Owned by Kevin

Where mathematics becomes a sensory, creative practice—evolving perception, meaning-making, and human judgment together.

3 contributions to Flippin’ Math Culture Club
Who here tells the story of x?
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 👇
0 likes • 7d
Nothing wrong with this at all! Try also reading an equation for what it is saying. For example, 2x+4 = 12. That is asking, what number, when we find it, can be doubled and then have four added to it and end up at 12. You can use a number line to trace its "journey" or you can use inverse operations to "reverse" its journey to find the missing number that is place-held by our variable "x".
Dividing by zero
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…..
1 like • 12d
Division in one way is repeated subtraction until you run out of stuff. So, for example: 12/4 is 12-4-4-4 =0 which means that you can subtract 3 "4's" until you run out of stuff. For division with zero... how many zeroes must you subtract from 12 until you run out of stuff?
0 likes • 7d
you can't; so its undefined and it is the job of "student editors" to ensure that equations and computations do not include this.
Two negatives make a positive.
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?
0 likes • 13d
Students aren't alone in their confusion—for centuries, the greatest mathematicians in the world thought negative numbers were absurd and refused to use them. The ancient Greeks dismissed them entirely, calling them "fictitious."
0 likes • 13d
Zero paired models for integers are useful ways of showing this I’ve found. Kind of like how the ancient Chinese used counting rods to model fortune and debts.
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Kevin Berkopes
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@kevin-berkopes-1477
Advancing an anti-theory of math: evolving our senses, cultivating shared judgment, and igniting human creativity.

Active 2h ago
Joined Sep 30, 2026
Indianapolis, Indiana