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November 14, 2021

4: Additive Reasoning, Part 3 of 3 (Negative Integers)

59 minutes

Here's the conclusion to our mini-series on additive reasoning!

This episode is dedicated to the ancient Indian mathematician Brahmagupta, one of the first (that we know about) to not only treat zero as a number but to work extensively with negative numbers as well.

If you're interested in receiving a free guide to learning about (or teaching) additive reasoning with integers, sign up here!

It's the longest episode yet, so here are some time stamps in case you want to jump around:

4:54 Number categories

8:59 The story of integers

20:38 Addition: Static thinking (protons/electrons; money/debt)

32:22 Addition: Kinetic thinking (up and down number lines)

38:47 Subtraction as removal: Kinetic thinking

47:50 Subtraction as difference: Static thinking

55:01 Bringing it all together

We'll be back in a few weeks to discuss multiplicative reasoning, so in the meantime I'll leave you with this question: Is multiplication repeated addition? Find out how I ended up answering that question on our next episode!

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