Dynamic math demonstrations
DOI:
https://doi.org/10.5007/1981-1322.2019.e61725Abstract
In this article, we present a concept that was called Dynamic Mathematical Demonstrations. In order to justify the need to create such a concept and to be able to substantiate it, it was necessary to make adaptations in some concepts of the Theory of Registers of Semiotic Representations. Concepts such as Treatment and Conversion have been adapted for Dynamic Treatment and Dynamic Conversion. In advance, it is important to point out that this is not a new form of demonstration, but rather how to present it. It is a kind of demonstration wich is meant to explain and not just to validate. The creation of the concept was necessary because the dynamic demonstrations have their own characteristics that differ them from the conventional demonstrations. The Dynamic Mathematical Demonstrations were essential for the production of a dynamic mathematical book. Although a systematic analysis of the contributions of Dynamic Demonstrations to the teaching and learning process has not yet been made, early experiments indicate that the use of this kind of demonstration may help understanding, develop learning with autonomy and to increase the students' argumentative power.References
Bellemain, F. (2001). Geometria Dinâmica: diferentes implementações, papel da manipulação direta e usos na aprendizagem. In International Conference on Graphics Engineering for Arts and Design (pp. 1314–1329). São Paulo: USP.
Bellemain, F, & Correia, E.M. (2004). Geometria Dinâmica: fundamentos epistemológicos. EGraFIA 2004.
Bicudo, I. (2002). Demonstração em Matemática. BOLEMA: Boletim de Educação Matemática, 18, 79–90.
Dolce, O., & Pompeu, J. N. (2013). Fundamentos de Matemática Elementar (Geometria plana). São Paulo: Editora Atual. Volume 9.
Duval, R. (2009). Semiósis e Pensamento Humano: Registros semióticos e aprendizagens intelectuais. (L. F. LEVY & M. R. . SILVEIRA, Trans.) (1st ed.). São Paulo: Livraria da Física.
Duval, R. (2011). Ver e Ensinar a Matemática de outra forma. Entrar no modo matemático de pensar: os registros de representações semióticas. (T. M. M. CAMPOS, Ed.) (Vol. 1). São Paulo: PROEM.
Gravina, M. A. (2015). O Potencial Semiótico Do Geogebra Na Aprendizagem Da Geometria: Uma Experiência Ilustrativa. Vidya, 35(2), 18. Recuperado de http://periodicos.unifra.br/index.php/VIDYA/article/view/605
Hanna, G. (1990). Some pedagogical aspects of proof. Interchange, 21(1), 6–13. https://doi.org/10.1007/BF01809605
Isotani, S., & Brandão, L. de O. (2006). Como Usar a Geometria Dinâmica? O Papel do Professor e do Aluno Frente às Novas Tecnologias. In Anais do Workshop de Informática na Escola (Vol. 1).
Lourenço, & M. L. (2002). A Demonstração com Informática Aplicada à Educação 1. BOLEMA: Boletim de Educação Matemática, 15.
Nóbriga, J. C. C. (2015). GGBOOK : uma plataforma que integra o software de geometria dinâmica geogebra com editor de texto e equações a fim de permitir a construção de narrativas matemáticas dinâmicas. (Tese de doutorado em Educação). Universidade de Brasília, Brasília.
Nóbriga, J. C. C. (2017). Aprendendo Geometria Plana com a Plataforma GeoGebra. Blumenau: Livre (< https://www.geogebra.org/m/hsXHDRX7#material/gKNVfTXE>).
Preiner, J. (2008). Introducing dynamic mathematics software to mathematics teachers: The case of GeoGebra (Dissertação de mestrado em Educação Matemática). University of Salzburg, Salzburg.
Salazar, V. J. F. (2011). Desenvolvimento de esquemas de utilização na interação com Geometria Dinâmica, Unión: Revista Iberoamericana de Educación Matemática. 3. p. 169–178
Salazar, J. V. F., & Almouloud, S. A. (2015). Registro figural no ambiente de geometria dinâmica. Educ. Matem. Pesq, 17(5), 919–941.
Downloads
Published
Issue
Section
License
Authors hold the copyright and grant the journal the right for their articles' first publication, being their works simultaneously licensed under the Creative Commons Attribution License (CC BY), which allows the sharing of such works with its authorship acknowledged and its initial publication in this journal.
Authors are allowed to enter into separate additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or as a book chapter, with an acknowledgment of its initial publication in this journal).
