Overview

This part focuses on sharing and critiquing conjectures and justifications about the Sum of Consecutive Odd Numbers Problem. It includes consideration of whether or not the approach to explaining is convincing and if so, what aspect is convincing, and the language, representations, and logic used in the explanation.

Key Points

When producing an explanation it can be useful to consider whether the explanation would be convincing to the audiences below and what features of the explanation would change based on the different audiences.

• A friend
• A skeptic
• A colleague
• A group of students who have many shared understandings
• A group of students who do not have as many shared understandings

(Mason, 1982; Barrett, 2013)