From engineering to didactic suitability in mathematics education

Detalhes bibliográficos
Autor(a) principal: Godino, Juan D.
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revemop
Texto Completo: https://periodicos.ufop.br/revemop/article/view/5066
Resumo: Didactics of mathematics has a scientific component (descriptive, explanatory and predictive) and a technological component (prescriptive), which involves the design and experimentation of optimal educational interventions in each context and circumstances. Consequently, general educational research theories and methods are applied and developed, as well as specific and local instructional theories. In this paper we analyse three theories widely used in Didactics of Mathematics highlighting the features they incorporate related to the technological component of Didactics, that is, as theories of instructional design or didactic engineering. These are the Theory of Situations, the Anthropological Approach and Realistic Mathematics Education. Likewise, we describe the Theory of Didactic Suitability, as a component of the Onto-semiotic Approach, which addresses the axiological problem of identifying and structuring criteria for optimising mathematical instructional processes, by means of which the gap between didactic engineering and teaching practice can be bridged. Finally, the concordances and complementarities between the four mentioned theories are analysed. The clarification and comparison of the didactic suitability criteria of different theoretical frameworks and their articulation into a coherent system is a research programme that we only suggest in this article.
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spelling From engineering to didactic suitability in mathematics educationDe la ingeniería a la idoneidad didáctica en educación matemáticaDa engenharia à idoneidade didática no ensino da matemáticaMathematics educationTeaching and learningDidactical engineeringInstructional designDidactical suitabilityComparing theoriesEducación matemáticaIngeniería didácticaDiseño instruccionalIdoneidad didácticaComparación de teoríasEducação matemáticaEngenharia didáticaDesenho instrucionalIdoneidade didáticaComparação de teoriasDidactics of mathematics has a scientific component (descriptive, explanatory and predictive) and a technological component (prescriptive), which involves the design and experimentation of optimal educational interventions in each context and circumstances. Consequently, general educational research theories and methods are applied and developed, as well as specific and local instructional theories. In this paper we analyse three theories widely used in Didactics of Mathematics highlighting the features they incorporate related to the technological component of Didactics, that is, as theories of instructional design or didactic engineering. These are the Theory of Situations, the Anthropological Approach and Realistic Mathematics Education. Likewise, we describe the Theory of Didactic Suitability, as a component of the Onto-semiotic Approach, which addresses the axiological problem of identifying and structuring criteria for optimising mathematical instructional processes, by means of which the gap between didactic engineering and teaching practice can be bridged. Finally, the concordances and complementarities between the four mentioned theories are analysed. The clarification and comparison of the didactic suitability criteria of different theoretical frameworks and their articulation into a coherent system is a research programme that we only suggest in this article.La Didáctica de la matemática tiene un componente científico (descriptivo, explicativo y predictivo) y un componente tecnológico (prescriptivo), el cual implica el diseño y experimentación de intervenciones educativas óptimas en cada contexto y circunstancias. En consecuencia, se aplican y desarrollan teorías y métodos generales de investigación educativa, así como teorías instruccionales específicas y locales. En este trabajo analizamos tres teorías ampliamente usadas en Didáctica de la matemática destacando los rasgos que incorporan relacionados con el componente tecnológico de la Didáctica, esto es, como teorías de diseño instruccional o ingeniería didáctica. Se trata de la Teoría de Situaciones, el Enfoque Antropológico y la Educación Matemática Realista. Así mismo, describimos la Teoría de la Idoneidad Didáctica, como un componente del Enfoque Ontosemiótico, que aborda el problema axiológico de identificación y estructuración de criterios de optimización de los procesos de instrucción matemática, mediante los cuales se puede salvar la brecha entre la ingeniería didáctica y la práctica de la enseñanza. Finalmente se analizan las concordancias y complementariedades entre las cuatro teorías mencionadas. La clarificación y comparación de los criterios de idoneidad didáctica de diferentes marcos teóricos y su articulación en un sistema coherente supone un programa de investigación que apenas sugerimos en este artículo.A didática da matemática tem um componente científico (descritivo, explicativo e preditivo) e um componente tecnológico (prescritivo), que envolve a concepção e experimentação de intervenções educacionais ótimas em cada contexto e circunstância. Consequentemente, teorias e métodos gerais de pesquisa educacional são aplicados e desenvolvidos, assim como teorias instrucionais específicas e locais. Neste artigo analisamos três teorias amplamente utilizadas na Didática da Matemática destacando as características que elas incorporam relacionadas ao componente tecnológico da Didática, ou seja, como teorias de desenho instrucional ou engenharia didática. Estas são a Teoria das Situações, a Abordagem Antropológica e a Educação em Matemática Realista. Da mesma forma, descrevemos a Teoria da Idoneidade Didática, como um componente da Abordagem Ontosemiótica, que enfrenta o problema axiológico de identificar e estruturar critérios para a otimização dos processos de instrução matemática, através do qual a brecha entre a engenharia didática e a prática didática pode ser superada. Finalmente, são analisadas as concordâncias e complementaridades entre as quatro teorias mencionadas. O esclarecimento e comparação dos critérios de idoneidade didática de diferentes quadros teóricos e sua articulação em um sistema coerente é um programa de pesquisa que apenas sugerimos neste artigo.Editora da UFOP2021-09-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufop.br/revemop/article/view/506610.33532/revemop.e202129Revemop; v. 3 (2021): Rolling Pass; e2021292596-0245reponame:Revemopinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPporhttps://periodicos.ufop.br/revemop/article/view/5066/3833Copyright (c) 2021 Revemophttp://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessGodino, Juan D.2022-05-30T17:03:00Zoai:pp.www.periodicos.ufop.br:article/5066Revistahttps://periodicos.ufop.br/revemop/indexPUBhttps://periodicos.ufop.br/revemop/oairevemop@ufop.edu.br||2596-02452596-0245opendoar:2022-05-30T17:03Revemop - Universidade Federal de Ouro Preto (UFOP)false
dc.title.none.fl_str_mv From engineering to didactic suitability in mathematics education
De la ingeniería a la idoneidad didáctica en educación matemática
Da engenharia à idoneidade didática no ensino da matemática
title From engineering to didactic suitability in mathematics education
spellingShingle From engineering to didactic suitability in mathematics education
Godino, Juan D.
Mathematics education
Teaching and learning
Didactical engineering
Instructional design
Didactical suitability
Comparing theories
Educación matemática
Ingeniería didáctica
Diseño instruccional
Idoneidad didáctica
Comparación de teorías
Educação matemática
Engenharia didática
Desenho instrucional
Idoneidade didática
Comparação de teorias
title_short From engineering to didactic suitability in mathematics education
title_full From engineering to didactic suitability in mathematics education
title_fullStr From engineering to didactic suitability in mathematics education
title_full_unstemmed From engineering to didactic suitability in mathematics education
title_sort From engineering to didactic suitability in mathematics education
author Godino, Juan D.
author_facet Godino, Juan D.
author_role author
dc.contributor.author.fl_str_mv Godino, Juan D.
dc.subject.por.fl_str_mv Mathematics education
Teaching and learning
Didactical engineering
Instructional design
Didactical suitability
Comparing theories
Educación matemática
Ingeniería didáctica
Diseño instruccional
Idoneidad didáctica
Comparación de teorías
Educação matemática
Engenharia didática
Desenho instrucional
Idoneidade didática
Comparação de teorias
topic Mathematics education
Teaching and learning
Didactical engineering
Instructional design
Didactical suitability
Comparing theories
Educación matemática
Ingeniería didáctica
Diseño instruccional
Idoneidad didáctica
Comparación de teorías
Educação matemática
Engenharia didática
Desenho instrucional
Idoneidade didática
Comparação de teorias
description Didactics of mathematics has a scientific component (descriptive, explanatory and predictive) and a technological component (prescriptive), which involves the design and experimentation of optimal educational interventions in each context and circumstances. Consequently, general educational research theories and methods are applied and developed, as well as specific and local instructional theories. In this paper we analyse three theories widely used in Didactics of Mathematics highlighting the features they incorporate related to the technological component of Didactics, that is, as theories of instructional design or didactic engineering. These are the Theory of Situations, the Anthropological Approach and Realistic Mathematics Education. Likewise, we describe the Theory of Didactic Suitability, as a component of the Onto-semiotic Approach, which addresses the axiological problem of identifying and structuring criteria for optimising mathematical instructional processes, by means of which the gap between didactic engineering and teaching practice can be bridged. Finally, the concordances and complementarities between the four mentioned theories are analysed. The clarification and comparison of the didactic suitability criteria of different theoretical frameworks and their articulation into a coherent system is a research programme that we only suggest in this article.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-08
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufop.br/revemop/article/view/5066
10.33532/revemop.e202129
url https://periodicos.ufop.br/revemop/article/view/5066
identifier_str_mv 10.33532/revemop.e202129
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufop.br/revemop/article/view/5066/3833
dc.rights.driver.fl_str_mv Copyright (c) 2021 Revemop
http://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 Revemop
http://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editora da UFOP
publisher.none.fl_str_mv Editora da UFOP
dc.source.none.fl_str_mv Revemop; v. 3 (2021): Rolling Pass; e202129
2596-0245
reponame:Revemop
instname:Universidade Federal de Ouro Preto (UFOP)
instacron:UFOP
instname_str Universidade Federal de Ouro Preto (UFOP)
instacron_str UFOP
institution UFOP
reponame_str Revemop
collection Revemop
repository.name.fl_str_mv Revemop - Universidade Federal de Ouro Preto (UFOP)
repository.mail.fl_str_mv revemop@ufop.edu.br||
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