Unlike toys, you should always try to break your mathematics. An example: at some point, we get used to the idea of powers as being a shorthand for repeated [...]
Squares of Differences: subtraction practice toward a greater purpose
Here is a phenomenal lesson, accessible to any child who knows how to subtract, and compelling to everyone, up to and including professional mathematicians. [...]
The power of student questions (and the admiration of strangers)
I had two unsolicited, impressed comments from strangers who heard my tutoring sessions yesterday. It’s very gratifying: they’re more for my students than [...]
Free At Last
If you want to see someone really committed to freedom in education, check out Free At Last: The Sudbury Valley School, which you can read online at the link, [...]
No tricks. No formulas. You’re just a human being, looking at one of the simplest and most fundamental shapes there is, just like your ancestors once did before anyone had any idea about formulas. What do you do?
Problems on the Board II: Simplify!
I asked a pair of girls (age 8 and 9) I tutor to ask questions about the chessboard, and got another really great lesson out of it, this one highlighting the [...]