Approach to mathematical demonstrations in the classroom: from problem solving to réfléchissante abstraction
This text proposes to build a theoretical basis that justifies the development of activities involving mathematical demonstrations in basic education mathematics classes in light of the active methodology known as Problem Solving and Genetic Epistemology developed by Jean Piaget, more precisely on a...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Brasil |
| Recursos: | Universidade Federal de Santa Catarina (UFSC) |
| Repositorio: | Revemat - Revista Eletrônica de Educação Matemática |
| Idioma: | portugués |
| OAI Identifier: | oai:periodicos.ufsc.br:article/96879 |
| Acesso em linha: | https://periodicos.ufsc.br/index.php/revemat/article/view/96879 |
| Access Level: | acceso abierto |
| Palavra-chave: | Demonstrações matemáticas Resolução de Problemas Abstração Reflexionante Proof in mathematics Problem Solving Réfléchissante abstraction Demonstraciones matemáticas Resolución de Problemas Abstracción Rflexiva |
| Resumo: | This text proposes to build a theoretical basis that justifies the development of activities involving mathematical demonstrations in basic education mathematics classes in light of the active methodology known as Problem Solving and Genetic Epistemology developed by Jean Piaget, more precisely on aspects of reflective abstraction and awareness. These concepts, in Piaget's view, are directly linked to mathematics, logical-mathematical reasoning and the mathematical knowledge developed by the subject. The concepts of argumentation, proof and mathematical demonstration used here are based on the work developed by Nicolas Balacheff, who has been researching this topic since 1987 to the present day. Regarding the defense of the use of the Problem Solving methodology as a technique for the development of mathematical demonstrations and, consequently, for the construction of mathematical knowledge, will be used the theoretical basis developed by mathematician George Polya. |
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