Categories of intuitive reasoning and GeoGebra 3D: an experience with Brazilian students

Authors

DOI:

https://doi.org/10.31129/LUMAT.9.1.1618

Keywords:

Categories of Intuitive Reasoning, Cavalieri's Principle, GeoGebra 3D

Abstract

This work presents the result of the application of a didactic sequence designed to understand the concept of the Cavalieri’s Principle, supported by the GeoGebra application in its version for mobile phones - 3D Calculator. For this study, the Theory of Categories of Intuitive Reasoning, by Efraim Fischbein, was used as a conceptual basis. The objective of this work was to elaborate and develop a didactic sequence aiming to subsidize the learning of the Cavalieri’s Principle from GeoGebra, as a way to help the student in the construction of geometric reasoning, through visualization, perception and intuition. The methodology of this work is qualitative research, exploratory type, being carried out from a didactic sequence developed in two meetings remotely, due to the scenario of the COVID-19 pandemic. The target audience of this research is a group of students aged 15-17 years from a public school in Fortaleza - CE, Brazil. In summary, it is pointed out that the intuitive reasoning categories mobilized from the use of GeoGebra have great potential to stimulate the evolution of the student's geometric thinking, through the development of perception, intuition and geometric visualization.

Author Biographies

Renata Teófilo de Sousa, Federal Institute of Science and Technology of the State of Ceará, Fortaleza, Brazil

Master's student in Science and Mathematics Teaching – IFCE campus Fortaleza. Specialist in Mathematics Teaching - UVA, Qualification in Mathematics Teaching in the State of Ceará - UFC. Postgraduate in Didactics and Active Methodologies in Learning and MBA in School Management - UniAmérica. Professor at the Secretariat of Basic Education of the State of Ceará – EEEP Professor Lysia Pimentel Gomes Sampaio Sales. Email: rtsnaty@gmail.com

Francisco Régis Vieira Alves, Federal Institute of Science and Technology of the State of Ceará, Fortaleza, Brazil

PhD in Education from the Federal University of Ceará, CNPQ Productivity Scholarship – PQ2. Permanent Professor of the Graduate Program in Science and Mathematics Education at IFCE, Permanent Professor of the Graduate Program in Science and Mathematics Education at the Federal University of Ceará. Permanent professor of the Postgraduate Program of the Professional Master's Degree in Technological Professional Education. Full Professor at IFCE – Department of Mathematics and Physics. Academic coordinator of the PhD in RENOEN network, IFCE pole. Leader of the CNPQ Research Group on Science and Mathematics Teaching. Personal page: https://ifce.academia.edu/RegisFrancisco/Journal-Articles. Mailing address: Avenida Treze de Maio, 2081, 60040-215, Fortaleza, Ceará, Brazil. E-mail: fregis@ifce.edu.br.

Italândia Ferreira de Azevedo, Federal Institute of Science and Technology of the State of Ceará, Fortaleza, Brazil

Master in Mathematics Teaching by the Federal Institute of Science and Technology of the State of Ceará (IFCE). Teacher at the Ceará state education system – EEEP Joaquim Moreira de Sousa

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Published

2021-08-19

How to Cite

Teófilo de Sousa, R., Régis Vieira Alves, F., & Ferreira de Azevedo, I. (2021). Categories of intuitive reasoning and GeoGebra 3D: an experience with Brazilian students. LUMAT: International Journal on Math, Science and Technology Education, 9(1), 622–642. https://doi.org/10.31129/LUMAT.9.1.1618

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