Segar Rogers @segarrogers.bsky.social · 22/10/2025When you're teaching integration by substitution, what do you tell pupils is going on (conceptually)? Interested in the phrases people use ... and I appreciate you may just take a procedural route. #UKMathsChat #iTeachMaths 410
Marcus Helmer 🇺🇸 @wellactuarially.com · 22/10/2025My approach was: A brief reminder of what integration is and a brief reminder of why the chain rule is necessary. If we seek to change one dimension we are accumulating (height of the function) then we must correspondingly transform the other dimension to keep the sum of areas equal. 1/2 120
Marco @malmeida.bsky.social · 22/10/2025I'm not the one teaching it for the first time (just a quick refresher) but I try to mention how the change of variables means we're kind of swapping a "hard integrand" and an "simple path" for a "simpler integrand" and different path such that the areas as the same 230
David K Butler @davidkbutler.bsky.social · 22/10/2025On a good day, I can say the following. 1: Integration is about tracking along an axis accumulating small changes as you go into a big total change. 120
