Developing Mathematical Reasoning Part 4

Throughout this series we have discussed each of the stages of the Development of Mathematical Reasoning. In order to identify where students are in their development and to nudge them to more sophisticated ways of thinking, we need to listen and observe students carefully to what type of reasoning they are currently using. To help you, we have put together infographics for each stage of the progression, with short detailed descriptions and models used. We’ve also included exemplar videos highlighting students who are currently using and those still working towards each of the stages.  

Developing Mathematical Reasoning Overview

Additive Reasoning

Multiplicative Reasoning

Proportional Reasoning

Functional Reasoning



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