Resolução de problemas, formação de conceitos matemáticos e outras janelas que se abrem
Keywords:
Educação Matemática, Resolução de Problemas, ConceitosAbstract
In this article, I discuss problem solving in Mathematics education and the consequences of its use for mathematics teaching and learning. The manuscript begins with a brief historical review of problems in the teaching of mathematics. Drawing upon a few authors and their research, I define problems as occurrences that one wants to solve but for which solution one does not have an immediate algorithm. I claim that such problems are necessary for one to form, enrich and reorganize his/her mathematical concepts. Furthermore, during the problem solving process students make mistakes, experience emotions, and have to assess their own cognition. Therefore, I focus on error analysis, afecctive issues and metacognition in Mathematics education as a consequence of teaching via problem solving.
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