Models for Lessons. Thinking about planning. Explaining Investigating Exploring Interpreting Analyzing Describing Deriving Reasoning. Justifying Proving Conjecturing Calculating Examining Constructing Grappling Engaging . The Verbs of Doing Mathematics. Teacher Directed
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Thinking about planning
Problem Solving Application
The Traditional Approach: Probably what your math class looked like.
Clarify - Refine - Practise - Apply
A Problem-Based Approach
From Van de Walle