Pedagogy recapitulates history (sort of)

Because of the way mathematical ideas build on other mathematical ideas, the order in which these ideas were discovered/invented is often the same as the order in which they are taught. All humans typically start where humanity (is thought to have) started, with counting objects and identifying simple shapes. From there, we begin making calculations….

A different view of the multiplication and division algorithms

The “traditional” methods for multiplying or dividing numbers have generally been taught by rote memorization or with minimal explanation. By reframing these processes, I hope to make it more clear what is happening. Column method of multiplication This is similar to the column methods of addition and subtraction, although multiplication is slightly more complicated. Here’s…

The state of math in the world today

I went to the grocery store today and at the self checkout, one of my items was not recognized by the barcode scanner. It scanned successfully, but it wasn’t in the system and couldn’t give a price. An employee came over to help. He was young, no older than his 20s, though he looked like…

I like nonsense the best

I have often said that my favorite way to sort objects is alphabetically by color name. For example, if your objects are colored red, yellow, green, blue, and purple, then you would put the blue one first, followed by green, then purple, red, and finally yellow. But why? Partly for humor. I think it’s funny…