Understanding Geometric Proofs and Demonstrations – A Study about Conic Sections with the Aid of Geogebra Software

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Sabrina Alves Boldrini Cabral
Sabrina Alves Boldrini Cabral

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Understanding Geometric Proofs and Demonstrations – A Study about Conic Sections with the Aid of Geogebra Software

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Abstract

The present work has as presupposition the consideration that the teaching of Proofs and Demonstrations, starting from experimental activities, can lead the student to develop a higher level of Geometric understanding. The empirical data that allowed the construction of this assumption comes from a research conducted by Cabral (2017) with students of the 3rd period of the Degree in Mathematics. Considering the complexity of teaching and learning geometric proofs and demonstrations, not only for the student but also for the teacher, the activity described here: Discovering the properties of the Conics with GeoGebra, was developed in the sense of proposing teaching situations that lead to the student to: observe, experiment, reflect, conjecture and refute. The data obtained were analyzed according to the test model proposed by Balacheff (2000). We present in this article some data resulting from the application of this activity in the classroom followed by some related reflections.

References

13 Cites in Article
  1. Carlos Aguilar Júnior,Augusto (2012). Postura de docentes quanto aos tipos de argumentação e prova apresentados por alunos do ensino fundamental. 2012. 144 f. Dissertação.
  2. Nicolas Balacheff (1988). Aspects of proof in pupils' practice of school mathematics.
  3. Nicolas ____________ (2000). Procesos de prueba en los alumnos de matemáticas. Tradução: Pedro Gómes.
  4. Nicolas ______________ (1987). Processus de preuve et situations de validation.
  5. Maria Bicudo,Viggiani (1999). Filosofia e epistemologia na educação matemática.
  6. Maria _________,( Viggiani,Org (2003). Filosofia da educação matemática: fenomenologia, 7. BRASIL. Ministério da Educação.
  7. Cônicas (2016). noções: intuições e aplicações.
  8. Dario Fiorentini (2004). Pesquisar práticas colaborativas ou pesquisar colaborativamente?.
  9. Eliane Gazire,Scheid (2000). O não resgate das geometrias.
  10. Gila Hanna (2000). Proof, Explanation and Exploration: An Overview.
  11. Gila Hanna (1990). Some pedagogical aspects of proof.
  12. Dimas Miranda,João Felipe De; Laudares,Bosco (2011). Caderno de atividades de geometria analítica: aulas práticas no laboratório de computação: uso dos softwares Geogebra e Winplot.
  13. Victor Abreu,Alberto Coralli,Laís Proença,Andrea Santos (2003). An Overview of Life Cycle Assessment of Renewable Hydrogen.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Sabrina Alves Boldrini Cabral. 2021. \u201cUnderstanding Geometric Proofs and Demonstrations – A Study about Conic Sections with the Aid of Geogebra Software\u201d. Global Journal of Human-Social Science - H: Interdisciplinary GJHSS-H Volume 21 (GJHSS Volume 21 Issue H8): .

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Geometric proofs, geometry software, academic research study, conic sections, geogebra tool.
Journal Specifications

Crossref Journal DOI 10.17406/GJHSS

Print ISSN 0975-587X

e-ISSN 2249-460X

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GJHSS-H Classification: FOR Code: 930299
Version of record

v1.2

Issue date

November 19, 2021

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The present work has as presupposition the consideration that the teaching of Proofs and Demonstrations, starting from experimental activities, can lead the student to develop a higher level of Geometric understanding. The empirical data that allowed the construction of this assumption comes from a research conducted by Cabral (2017) with students of the 3rd period of the Degree in Mathematics. Considering the complexity of teaching and learning geometric proofs and demonstrations, not only for the student but also for the teacher, the activity described here: Discovering the properties of the Conics with GeoGebra, was developed in the sense of proposing teaching situations that lead to the student to: observe, experiment, reflect, conjecture and refute. The data obtained were analyzed according to the test model proposed by Balacheff (2000). We present in this article some data resulting from the application of this activity in the classroom followed by some related reflections.

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Understanding Geometric Proofs and Demonstrations – A Study about Conic Sections with the Aid of Geogebra Software

Sabrina Alves Boldrini Cabral
Sabrina Alves Boldrini Cabral

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