RE: https://mathstodon.xyz/@highergeometer/115971813980855257

Very interesting article ... here's the direct link:

https://davidkbutler.xyz/2026/01/28/its-just-subbing-into-formulas/

And I agree entirely "Just subbing" is absolutely not easy. Like running a marathon, it's simple, but absolutely it's not easy.

#Teaching #TeachingMath #Math #Maths

These are my tools for teaching place value. Kids are interested in money and, so far, they mostly do understand trading 10 pennies for a dime and 10 dimes for a dollar. The physical objects help them see what is happening when I say, "13 pennies is too many to fit in the ones column. I'll trade you a dime for ten pennies. Now where does the dime go?"

#math #TeachingMath

In mathematics, we sometimes switch between two viewpoints without distinguishing them explicitly. Which causes confusion.
Think of symmetry transformations: The symmetry group of, say, a regular pentagon, consists of those geometrical transformations that leave it unchanged at the same position. So the pentagon does not change? And still there are different transformations?
The answer is that we view the pentagon in different ways when we speak about the symmetry and about the transformations, say with the light switched on and off. For the transformations, we think of the pentagon with markers written on its corners, say with the numbers 0, 1, 2, 3, and 4, so that we can speak of the rotation that maps the corner marked n to the place of corner (n + 2) mod 5. For the symmetry, we switch the light off and cannot see the markers: A symmetry transformation is then one in which we cannot feel any difference before and after the transformation.

The same idea is also in other contexts, for example with the bound variable in a definite integral: An expression like ∫ₐᵇ 𝑓(𝑥) 𝑑𝑥 is interpreted with “light off”, so that we do not see that x is the integration variable, but in our calculations, the “light“ is “on” and x is an ordinary variable that follows some special rules.

#Mathematics #TeachingMath #Symmetry

Janoah Hartmann, a mathematics undergraduate at the Department of Mathematics and Computer Science, has been awarded the Credit Suisse Award for Best Teaching👏Alongside his bachelor’s studies, he works as a teaching assistant in the course Mathematics II for Natural Sciences. Preparing the tutorials is demanding, he says, but: «You get a lot back, and the boost is huge when you teach successfully.» Congratulations!

More 👉 https://dmi.unibas.ch/en/news-events/detail/janoah-hartmann-erhaelt-credit-suisse-award-for-best-teaching/

#teaching #teachingmath #mathematics #unibasel

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Read the full breakdown 👉 https://eduhacking.com/prodigy/

#EduHacking #ProdigyGame #TeachingMath #EduSky #MathTools

Low prep. High engagement. Deep thinking.

“Would You Rather Math” is math class gold 🏆

🌐 https://eduhacking.com/would-you-rather-math/

#TeachingMath #WouldYouRather #StudentVoice #MathChallenge #EduHacking #EduSky

William Lawvere, Taking Categories Seriously, Revisita Colombiana de Mathemáticas XX (1986), 147-148

#Mathematics #CategoryTheory #TeachingMath

Whats wrong with this picture!

I had to check this multiple times as I couldnt believe it first time.

This is Microsoft Windows 10 Calculator.

#windows #microsoft #arithmetic #TeachingMath #calculator