[rlvesco7]

Within home schooling communities, Singaporean style math has quite a following. Singapore also tends to score quite high on international exams. Basically, they focus on fewer topic more deeply. They also teach from concrete to abstract. I wish American schools would adopt this. https://en.wikipedia.org/wiki/Singapore_math

[ivansavz]

There is another project called JUMP math which has shown some great results, and is now getting adopted widely in Canada. Essentially the approach is to present concepts as bite-sized chunks (more scaffolded) and make students gradually work their way up to tougher problems.

If you think about it, it makes sense: if the problem in math is people get stuck at some foundational step where they are required to "get" something, and start to think they "suck at math" because they are missing this piece, then making the steps VERY small will make sure everyone can make those steps, thus making everyone "good at math."

Similar to Singapore math, it's not based on a "textbook" that you read but an "exercise book" that you write and solve exercises in. I don't have personal experience with teaching using this approach, but I have heard many good things.

books: https://www.amazon.com/s?k=jump+math (non free) samples: https://jumpmath.org/jump/en/learn podcast: https://www.cbc.ca/listen/live-radio/1-63-the-current/clip/1...

[red_admiral]

That was how I was taught, in Europe, decades ago. We didn't call it Singapore Math, we just called it Maths.

And we used Cuisenaire Rods instead of bar charts.

[mkoubaa]

“I fear not the man who has practiced 10,000 kicks once, but I fear the man who has practiced one kick 10,000 times.” -Bruce Lee

[jl2718]

Stephen Boyd is somewhat famous for his class in Linear Dynamical Systems that begins with an introduction to what DiffEq really is, and how to use computation rather than abstract rules of symbolic manipulation. I felt cheated that my classes had been nearly exclusive to the abstract presentation, which was mostly useless except for rough conceptual understanding in the rest of my engineering life.

[dredmorbius]

EE263: Introduction to Linear Dynamical Systems Stephen Boyd, Stanford University

http://ee263.stanford.edu/archive/

[Chris2048]

I was shocked when I saw equations of the form:

dy = dx + 3dz + 2