Overview

This part focuses on the idea of “providing and capitalizing on tasks that encourage conjecture, justification, and generalization” by considering the selection of reasoning-rich tasks.

Key Points

Tasks that provide opportunities for reasoning and engaging in mathematical practices have features such as:

• Multiple entry points into the problem exist
• The problem is open ended
• Connections are required
• No particular solution approach is suggested
• Generalization and extended exploration are necessary
• Multiple steps are involved in solving the problem

(drawing on: Smith, 2013; Stein & Smith, 1998; Hsu, Kysh, & Resek, 2007)