Cognitive instruments in mathematical thinking summary
Based on the Genetic Epistemology of Piaget, according to which the main problem is the construction of thoughts by individuals, this researchpaper examines the cognitive instruments that facilitate the progress of mathematical thinking before arriving at the organization of the concepts. The aim of...
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2011
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| Online Access: | https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1125 |
| _version_ | 1802223953428611072 |
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| author | Corredor de Porras, Magally |
| author_facet | Corredor de Porras, Magally |
| author_sort | Corredor de Porras, Magally |
| collection | OJS |
| description | Based on the Genetic Epistemology of Piaget, according to which the main problem is the construction of thoughts by individuals, this researchpaper examines the cognitive instruments that facilitate the progress of mathematical thinking before arriving at the organization of the concepts. The aim of this research paper is to take Piaget’s theory as the main support for investigating which mental processes are activated and how they give form to concepts when an individual is faced with solving a problem relating to mathematics. This reflection, which is part of the investigative project “Genetic Epistemogy and mathematics”, is the result of the revision and analysis of several arguments put forward in the thesis “Cognitive mechanisms common to the history and the psychogenesis of geometry”. It is found that the Intra-Inter-Trans mechanism is of great help in understanding how the mind of individuals behaves, and that its study is valid and has useful consequences for epistemology and the pedagogy of mathematics. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-1125 |
| institution | Revista Praxis & Saber |
| language | spa |
| publishDate | 2011 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-11252019-02-26T15:00:22Z Cognitive instruments in mathematical thinking summary Instrumentos cognitivos en el pensamiento matemático Des instruments cognitifs dans la pensée mathématique Instrumentos cognitivos no pensamento matemático Corredor de Porras, Magally cognitive mechanism constructive generalization completitive generalization. intra-inter-trans mechanisms equilibration. Mecanismo cognitivo Generalización constructiva Generalización completitiva Mecanismo intra-inter-trans Equilibración Mécanisme cognitif Généralisation constructive Généralisation complétive Mécanisme intra-inter-trans Equilibration. Mecanismo cognitivo Generalização construtiva Generalização completitiva Mecanismo intra-inter-trans Equilibrarão. Based on the Genetic Epistemology of Piaget, according to which the main problem is the construction of thoughts by individuals, this researchpaper examines the cognitive instruments that facilitate the progress of mathematical thinking before arriving at the organization of the concepts. The aim of this research paper is to take Piaget’s theory as the main support for investigating which mental processes are activated and how they give form to concepts when an individual is faced with solving a problem relating to mathematics. This reflection, which is part of the investigative project “Genetic Epistemogy and mathematics”, is the result of the revision and analysis of several arguments put forward in the thesis “Cognitive mechanisms common to the history and the psychogenesis of geometry”. It is found that the Intra-Inter-Trans mechanism is of great help in understanding how the mind of individuals behaves, and that its study is valid and has useful consequences for epistemology and the pedagogy of mathematics. Con base en la epistemología genética, de Piaget, para la cual el problema central es la construcción del pensamiento por los individuos, se examinan los instrumentos cognitivos que facilitan el progreso del pensamiento matemático antes de llegar a la formalización de los conceptos. El propósito del escrito es tomar como apoyo principal la teoría piagetiana para indagar cuáles procesos mentales se activan y cómo se va dando forma a los conceptos cuando un individuo se ve enfrentado a resolver un asunto relativo a las matemáticas. La reflexión, que se enmarca en el proyecto de investigación “Epistemología genética y matemáticas”, es resultado de la revisión y complementación de algunos argumentos esgrimidos en la tesis “Mecanismos cognoscitivos comunes a la historia y la psicogénesis de la geometría”. Se encuentra que el mecanismo Intra-Inter- Trans es un gran apoyo para comprender cómo procede la mente de los individuos, y que su estudio es vigente y tiene derivaciones útiles para la epistemología y la pedagogía de las matemáticas. On examine les instruments cognitifs qui facilitent le progrès de la pensée mathématique avant d’arriver àla formulation des concepts , cela, en ayant comme base l’Epistémologie génétique de Piaget, dont le problème central est la construction de la pensée par les individus. Le but de l’écrit est celui de prendre la théorie piagétienne comme soutien principal, pour indaguer quels processus mentaux s’activent et comment les concepts se façonnent quand un individu fait face à résoudre un aspect concernant les mathématiques. La réflexion, qui a comme cadre le projet de recherche “ Epistémologie génétique et mathématiques”, est le résultat de la révision et de la complémentation de quelques arguments escrimés dans la thèse “Mécanismes cognitifs communs à l’histoire et la psychogenèse de la géométrie”. On découvre que le mécanisme Intra-Inter-Trans est un grand support pour comprendre la procédure de la pensée des individus, que son étude est en vigueur et qu’il a des dérivations utiles pour l’épistémologie des mathématiques. Baseado na Epistemologia Genética de Piaget, na qual o problema central é a construção do pensamento pelos indivíduos, examinam-se os instrumentos cognitivos que facilitam o progresso do pensamento matemático antes da formalização dos conceitos. O objetivo deste texto, baseado na teoria piagetiana indaga quais processos mentais se ativam e como se vá dando forma aos conceitos quando o individuo tem de resolver um assunto relativo à matemática. A reflexão baseada no projeto de pesquisa “Epistemologia genética e matemática” é resultado da revisão e complementação de alguns argumentos defendidos na dissertação “Mecanismos cognoscitivos comuns à história e a psicogêneses da geometria”. Encontra-se que o mecanismo Intra-Inter-Trans é um grande apoio para compreender como atua a mente dos indivíduos, e o seu estudo ainda está vigente e tem derivações uteis para a epistemologia e a pedagogia da matemática. Universidad Pedagógica y Tecnológica de Colombia 2011-06-28 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1125 10.19053/22160159.1125 Praxis & Saber; Vol. 2 No. 4 (2011): Docencia e Investigación en Educación Superior; 103-126 Praxis & Saber; Vol. 2 Núm. 4 (2011): Docencia e Investigación en Educación Superior; 103-126 Praxis & Saber; Vol. 2 No 4 (2011): Docencia e Investigación en Educación Superior; 103-126 Praxis & Saber; V. 2 N. 4 (2011): Docencia e Investigación en Educación Superior; 103-126 Praxis & Saber; v. 2 n. 4 (2011): Docencia e Investigación en Educación Superior; 103-126 2462-8603 2216-0159 spa https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1125/1124 |
| spellingShingle | cognitive mechanism constructive generalization completitive generalization. intra-inter-trans mechanisms equilibration. Mecanismo cognitivo Generalización constructiva Generalización completitiva Mecanismo intra-inter-trans Equilibración Mécanisme cognitif Généralisation constructive Généralisation complétive Mécanisme intra-inter-trans Equilibration. Mecanismo cognitivo Generalização construtiva Generalização completitiva Mecanismo intra-inter-trans Equilibrarão. Corredor de Porras, Magally Cognitive instruments in mathematical thinking summary |
| title | Cognitive instruments in mathematical thinking summary |
| title_alt | Instrumentos cognitivos en el pensamiento matemático Des instruments cognitifs dans la pensée mathématique Instrumentos cognitivos no pensamento matemático |
| title_full | Cognitive instruments in mathematical thinking summary |
| title_fullStr | Cognitive instruments in mathematical thinking summary |
| title_full_unstemmed | Cognitive instruments in mathematical thinking summary |
| title_short | Cognitive instruments in mathematical thinking summary |
| title_sort | cognitive instruments in mathematical thinking summary |
| topic | cognitive mechanism constructive generalization completitive generalization. intra-inter-trans mechanisms equilibration. Mecanismo cognitivo Generalización constructiva Generalización completitiva Mecanismo intra-inter-trans Equilibración Mécanisme cognitif Généralisation constructive Généralisation complétive Mécanisme intra-inter-trans Equilibration. Mecanismo cognitivo Generalização construtiva Generalização completitiva Mecanismo intra-inter-trans Equilibrarão. |
| topic_facet | cognitive mechanism constructive generalization completitive generalization. intra-inter-trans mechanisms equilibration. Mecanismo cognitivo Generalización constructiva Generalización completitiva Mecanismo intra-inter-trans Equilibración Mécanisme cognitif Généralisation constructive Généralisation complétive Mécanisme intra-inter-trans Equilibration. Mecanismo cognitivo Generalização construtiva Generalização completitiva Mecanismo intra-inter-trans Equilibrarão. |
| url | https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1125 |
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