Am Freitag, 10. Juni 2005, um 17 Uhr c.t. spricht
im Hörsaal E27 über das Thema
"Problem Solving" Twenty Years Later
Zusammenfassung: In my 1985 book Mathematical Problem Solving I proposed a framework for the analysis of mathematical behavior. I argued that the following four categories are necessary and sufficient for understanding the quality (and success) of problem solving attempts: (1) the knowledge base (2) knowledge of problem solving strategies (heuristics) (3) "control" (monitoring and self-regulation, or metacognition) (4) beliefs, and the practices that give rise to them. It is now 20 years later. What has changed? I will argue that the ideas in the book are still robust - but that they did not go far enough. (I knew this at the time but did not have the theoretical tools to address it.) What I had was a framework, not a theory. What was lacking was a sense of mechanism - a description of how and why the problem solver makes the choises he of she makes, while engaged in problem solving. Twenty years later, we have a rigorous way of thinking about such issues, and the core of a robust theory. I will describe these later results in a much more dynamic stetting: that of a teacher engaging in the problem solving actions of trying to teach effectively.
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Treffpunkt zum Abendessen um 19.00 Uhr wird noch bekannt gegeben.