Uma análise epistemológica dos trabalhos de Lazare Carnot sobre geometria de e suas potencialidades para o ensino
This document results from research whose objective was to analyze the foundations and methods that Lazare Carnot elaborated in his writings about geometry to identify their didactic possibilities for a conceptual treatment of geometry in the late elementary and middle school grades. To attain ou...
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| Formato: | doctoralThesis |
| Idioma: | pt_BR |
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Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/33236 |
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| Resumo: | This document results from research whose objective was to analyze the foundations and
methods that Lazare Carnot elaborated in his writings about geometry to identify their didactic
possibilities for a conceptual treatment of geometry in the late elementary and middle school
grades. To attain our objective, we used contributions of the theoretical concepts, Saberes a
ensinar e Saberes para ensinar (knowledge for teaching, knowledge to teach). Through our
reinterpretation of these concepts, we identified emergent concepts and methods and epistemic
approaches in Carnot’s writing about geometry as well as possible historical contributions and
consequences for the teaching of geometric constructions nowadays in late elementary and early
secondary grades. Therefore, in our investigation, we selected thematically from among four of
Lazare Carnot’s publications, written between 1800-1806, with the tools of documentary
research directed to historical-epistemological analysis, supported by content analysis. Thus,
by analytically interpreting the problems described in his geometry, we were able to indicate
potentialities for a didactical and wholistic approach, from geometric constructions connected
to generalizations, representative models in solving problems, and expressions of correlation
between figures. As such, it is possible to elaborate an educational approach that combines the
history of geometry, geometric concepts, and information and communication technologies. |
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