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When (Not) to Give a Hint
The other night my 10year old son came to me for help with a word problem involving volume. It was late at night and I was tired. I could’ve given him a hint about how to solve it, or even … Continue reading
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The Three Stages of the ProblemSolving Cycle
Essentially every problemsolving heuristic in mathematics goes back to George Polya’s How to Solve It; my approach is no exception. However, this cyclic description might help to keep the process cognitively present. A few months ago, I produced a video … Continue reading
Making “Maths” Make Sense
When I was in the process of publishing Math Makes Sense!: A Constructivist Approach to the Teaching and Learning of Mathematics!, my oldest daughter saw the cover the publisher had sent for my approval. “Dad”, she shrieked in disbelief, “that title … Continue reading
ProblemSolving Pedagogy
As a math circle leader or math teacher, there are some basic pedagogical principles that must be observed. First, watch this 4min video about my heuristic to problemsolving: The 3Step ProblemSolving Cycle. The three steps are understanding, strategizing, and implementing. These … Continue reading