Geometry, a Means of Argumentation

Gert Kadunz

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Geometry, a Means of Argumentation

In: Semiotics as a Tool for Learning Mathematics

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Gert Kadunz

Gert Kadunz
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Type:: Chapter

Pages:: 23–42

DOI:: https://doi.org/10.1007/9789463003377_003

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Arguing and proving are essential elements in mathematics. To learn these skills from a mathematical point of view, elementary geometry is often used as a paradigmatic part of mathematics to demonstrate and to learn how to find an argument or how to construct a proof. This text presents several reasons why elementary geometry can be seen as a fruitful part of mathematics to learn these abilities. The chapter starts with a view on the use of geometry of ancient Greeks. Within this first part some sociological reasons are presented to which objective geometry was used in their political life. The second part of this text offers a semiotically based view on geometry. There three further reasons, all based on and motivated from the use of geometry signs, are provided. All reasons help us to understand why geometry is intimately connected to learn how to argue and how to prove.

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Semiotics as a Tool for Learning Mathematics

How to Describe the Construction, Visualisation, and Communication of Mathematical Concepts

Series: Semiotic Perspectives in the Teaching and Learning of Math Series, Volume: 3

Cover Semiotics as a Tool for Learning Mathematics

E-Book ISBN:: 9789463003377

Publisher:: Brill

Print Publication Date:: 01 Jan 2016

Subjects
- Education
  - Mathematics Education

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Geometry, a Means of Argumentation

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Semiotics as a Tool for Learning Mathematics

How to Describe the Construction, Visualisation, and Communication of Mathematical Concepts

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