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We recently received this comment from a user. Topic: Changing a Basis Using the Change-of-Coordinates Matrix Example: Finding the Coordinates of a Vector in a New Basis Given Its Coordinates in Another Basis Maybe I'm just dumb, but this really feels like it's missing an

Math misconceptions can be sticky. Once they take root, they’re hard to shake. Students: What misconceptions have you struggled with, and how did you shake them? Teachers: What’s a misconception you always advise students to watch out for?

Alternative proof using Euler's formula

Hard agree. Showing students a completed image without explaining the steps to get there will often confuse them and (even worse) induce cognitive overload. Breaking the construction of complex images into steps with explanations is essential for understanding and retention.

ResearchEd conference, 6th September in Highgate, London. I'll be attending. Hope to see some of you there!

If you're interested in math, this is a must-listen. Tao's perspectives are fascinating. youtube.com/watch?v=HUkBz-…

A rough comparison between Math Academy's Integrated Math sequence and UK year groups: Y7 & Y8 - Prealgebra Y9 - Integrated Math I Y10 - Integrated Math II Y11 - Integrated Math III Y12 - Precalculus Y13 - AP Calculus AB/BC Course descriptions below. mathacademy.com/courses

Some updates about our Machine Learning 1 course. There's still some work to be done, but we're on the home stretch. ETA is sometime this summer. We'll need to extend our current Mathematics for Machine Learning course to ensure it contains all the necessary math

Ensemble methods such as Extra Trees and Random Forests often differ in quite subtle ways. It's easy for students to go through the motions without really understanding each algorithm's unique features. Short paragraphs like these force students to learn their differences.

One thing that concerns me about math education at the primary school level is the idea that every math concept, no matter how trivial, needs to be explored for days on end using countless models and manipulatives in order to provide students with a "deep understanding" of these

My son's school, for starters. That's one of the reasons I took him out and placed him in a school that teaches math properly. It's been three months, and he's now thriving. If you DM me, I'll happily share the school's details with you.

Some great tips for effective studying. edutopia.org/article/study-… * Reduce extrinsic cognitive load by weeding out distractions. * Use the "explain aloud" technique to solidify your knowledge and understanding. * Use spaced practice to ensure knowledge is retained in long-term