Math Knowledge for Teaching Addition

This post is the second in the series of post about the Math Knowledge for Teaching (MKT) where I present task/lesson that teachers and interested readers of this blog can discuss.

What can the representations of numbers tell us?

Numbers can be represented in different ways. The kind of representation we choose can highlight or de-emphasise the properties of the numbers. Studies about understanding mathematics discuss about two kinds

What are fractions and what does it mean to understand them?

Negative numbers, the irrationals, and imaginary numbers are not that easy to make sense of for many students. But this is something understandable. One only needs to check-out the histories

Should we define multiplication as repeated addition?

This article is a comment in my post Math War Over Multiplication which is about the ongoing debate  on whether or not multiplication can be defined as repeated addition. In the article, the author also raises