MTE 494 09 09 10 Here is a problem from a typical Algebra I course Tony walks from home to school in 30 minutes and his brother takes 40 minutes The brother left the house 6 minutes before Tony did In how many minutes will Tony overtake his brother 1 Work the problem MTE 494 09 09 10 2 Imagine that you are going to use this problem as a context for having a conceptual conversation with students about the mathematics addressed in the problem Partner with someone and brainstorm ideas for adapting this problem so that it provides such a context In particular develop each of the following i Outline a sequence of specific task prompts around the problem that reflect features of conceptual conversations ii Outline an accompanying dialogue you envision having with students one that is consistent with the concrete actions teachers can take to make a conversation conceptual
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