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Tag Archives: Math Teaching
Mathematics Students and Legitimate Peripheral Participation
One of the things that mathematics educators often talk about is the idea of teaching the norms of the discipline of mathematics to students, starting at a fairly young age. In Jo Boaler and Cathlee Humphreys’ book Connecting Mathematical Ideas: … Continue reading
Posted in Math Education, Math Teaching, Teaching
Tagged Math Teaching, Math Teaching and Learning, Teaching
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What to Do When a Group Gets Stuck Working on a Task
In my previous post, I discussed how to adapt a problem that you have found in order to make the problem groupworthy. One of the important things to consider when adapting realworld problems is to avoid giving stepbystep instructions and formulas … Continue reading
Adapting Problems to Improve their Groupworthiness
In my last blog post, I discussed the importance of using groupworthy tasks with your students. For a task to be groupworthy, it should satisfy three criteria: interdependence (the task is mathematically rich enough that students have to work together), … Continue reading
Posted in Math Education, Math Teaching, Teaching
Tagged Math Education, Math Teaching, Math Teaching and Learning
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The Role of Generalization in Advanced Mathematical Thinking
Generalization and abstraction both play an important role in the minds of mathematics students as they study higherlevel concepts. In the second chapter of the Springer book Advanced Mathematical Thinking, Tommy Dreyfus defines generalization as the derivation or induction from something particular to something … Continue reading