A geometria do compasso (1797) de Mascheroni (1750 – 1800) em atividades com o GeoGebra
The present work aims to show a possible relationship between the use of the History of Mathematics and Information and Communication Technologies (TIC) in teaching Mathematics through activities that use geometric constructions of the “Geometry of the Compass” (1797) by Lorenzo Mascheroni (1750-...
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| Formato: | Dissertação |
| Idioma: | por |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/19603 |
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| Resumo: | The present work aims to show a possible relationship between the use of the History of
Mathematics and Information and Communication Technologies (TIC) in teaching
Mathematics through activities that use geometric constructions of the “Geometry of the
Compass” (1797) by Lorenzo Mascheroni (1750-1800). For this, it was performed a
qualitative research characterized by an historical exploration of bibliographical character
followed by an empirical intervention based on use of the History of Mathematics combined
with TIC through Mathematical Investigation. Thus, studies were performed in papers dealing
with the topic, as well as a survey to highlight problems and /or episodes of the history of
mathematics that can be solved with the help of TIC, allowing the production of a notebook
of activities addressing the resolution of historical problems in a computer environment. In
this search, we came across the problems of geometry that are presented by Mascheroni stated
previously in the work that we propose solutions and investigations using GeoGebra software.
The research resulted in the elaboration of an educational product, a notebook of activities,
which was structure to allow during its implementation, students can conduct historical and/or
Mathematics research, therefore, we present the procedures for realization of each
construction, followed at some moments by original solution of the work. At the same time,
we encourage students to investigate/reflect its construction (GeoGebra), in addition to
making comparisons with the solution Mascheroni. This notebook was applied to two classes
of the course of Didactics of Mathematics I (MAT0367) Course in Mathematics UFRN in
2014. Knowing the existence of some unfavorable arguments regarding the use of history of
mathematics, such as loss of time, it was found that this factor can be mitigated with the aid of
computational resource, because we can make checks using only the dynamism of and
software without repeating the construction. It is noteworthy that the minimized time does not
mean loss of reflection or maturation of ideas, when we adopted the process of historical
and/or Mathematics Investigation |
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