Reasoning-and-explanation - Session 1: Studying mathematics teaching with a focus on reasoning and explanation
Part 4: Considering others’ explanations for the Pool Border Problem
Overview
This part continues work on the Pool Border Problem with an emphasis on considering the approaches of others, specifically:
- Whether each approach will allow you to know the number of tiles for any size pool
- How solutions connect back onto the problem
- How solutions/approaches map onto each other
- The language, representations, and logic used in each explanation
Key Points
Producing and interpreting approaches to problem solving are both routine aspects of the work of mathematics teaching. Careful and open-minded listening to the approaches of others is a rich opportunity to build interpretation skills that will be useful in everyday teaching.