Abstract

MARTINEZ HERNANDEZ, LORENZO JULIO  and  RUIZ ORTEGA, FRANCISCO JAVIER. Contributions, Scope, and Limitations of the Problem-Solving Approaches of George Pólya, Alan H. Schoenfeld and Frederick Reif in Mathematics Learning. Zona prox. [online]. 2023, n.39, pp.128-146.  Epub Feb 19, 2024. ISSN 2145-9444.  https://doi.org/10.14482/zp.39.001.582.

This article aims to analyze the contributions, scope and limitations in learning mathematics taking into account the problem-solving approaches of George Pólya, Alan H. Schoenfeld and Frederick Reif. First, the main ideas of these authors are synthesized in their works related to solving mathematical problems, and some metacognitive processes in students are also addressed, mainly metacognitive regulation. The foregoing is aimed at both teachers and students, develop teaching and learning processes of mathematics in a more conscious and intentional way. Among the results obtained, George Pólya proposed four stages to solve a problem; similarly, Alan H. Schoenfeld discriminated four dimensions; while Frederick Reif approaches problem solving from the context of physics through two general rules, merged into a five-phase strategy.

Keywords : learning mathematics; problem solving; metacognitive processes.

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