The Pósa method with ATD lenses: Praxeological analysis on math problems in Hungarian talent care education with ‘recursion’ in their logos blocks<br>La méthode Pósa avec des lentilles TAD: analyse praxéologique des problèmes mathématiques dans l’enseignement hongrois de soins aux talents avec «récursion» dans leurs blocs de logos

Autores

DOI:

https://doi.org/10.23925/1983-3156.2020v22i4p259-281

Palavras-chave:

Anthropological Theory of the Didactic, praxeological analysis, web of problem threads, kernel of problem threads, Pósa method

Resumo

Abstract.

The praxeological analysis of selected questions used in the Hungarian Pósa method is presented, focusing on a common element in their logos blocks, called recursive thinking. As part of a broader research with reverse didactic engineering methodology, aiming at theorizing the ‘intuitively’ developed Pósa method, the present findings are also compared to previous results and re-interpret the concepts of kernel and web of problem thread. Based on these results gained by using tools of the Anthropological Theory of the Didactic, the paper offers a partial description of the didactic strategy of the Pósa method for inquiry-based learning mathematics and raises questions for further research.

Résumé

Nous présentons l'analyse praxéologique de certaines questions utilisées dans la méthode hongroise Pósa, en nous concentrant sur un élément commun à leurs logos blocs, appelé pensée récursive. Dans le cadre d’une recherche plus large qui met en place une méthodologie d’ingénierie didactique inverse visant à théoriser la méthode de Pósa développée "intuitivement", les résultats actuels réinterprètent les concepts de noyau et de réseau de fils de problèmes. Sur la base des résultats obtenus en utilisant les outils de la théorie anthropologique du didactique, l'article offre une description partielle de la stratégie didactique de la méthode Pósa pour l'apprentissage des mathématiques basé sur l'enquête, et soulève des questions pour des recherches ultérieures.

 

Referências

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Katona, D., & Szűcs, G. (2017). Pósa-method & cubic geometry: a sample of a problem thread for discovery learning of mathematics. In T. J. Karlovitz (Ed.), Differences in pedagogical theory and practice (pp. 17‒34). Komarno, Slovakia: International Research Institute s.r.o.

Győri, J. G., & Juhász, P. (2018). An extra curricular gifted support programme in Hungary for exceptional students in mathematics. In K. S. Taber, M. Sumida, & L. McClure (Eds.), Teaching gifted learners in STEM subjects: developing talent in science, technology, engineering and mathematics (pp. 89‒106). Abingdon, Oxon and New York, NY: Routledge.

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Publicado

2020-09-15

Como Citar

KATONA, D. The Pósa method with ATD lenses: Praxeological analysis on math problems in Hungarian talent care education with ‘recursion’ in their logos blocks&lt;br&gt;La méthode Pósa avec des lentilles TAD: analyse praxéologique des problèmes mathématiques dans l’enseignement hongrois de soins aux talents avec «récursion» dans leurs blocs de logos. Educação Matemática Pesquisa Revista do Programa de Estudos Pós-Graduados em Educação Matemática, São Paulo, v. 22, n. 4, p. 259–281, 2020. DOI: 10.23925/1983-3156.2020v22i4p259-281. Disponível em: https://revistas.pucsp.br/index.php/emp/article/view/49512. Acesso em: 13 jul. 2024.

Edição

Seção

Finalizada - Volume 22 - 4 - Advances of the anthropological theory of the didactic