The concept of invariance in school mathematics

Shlomo Libeskind ^[1] ; Moshe Stupel ^[2] ; Victor Oxman ^[2]
1. [1] University of Oregon
2. [2] Shaanan College
Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 49, Nº. 1, 2018, págs. 107-120
Idioma: inglés
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Resumen
- In this paper, we highlight examples from school mathematics in which invariance did not receive the attention it deserves. We describe how problems related to invariance stimulated the interest of both teachers and students. In school mathematics, invariance is of particular relevance in teaching and learning geometry. When permitted change leaves some relationships or properties invariant, these properties prove to be inherently interesting to teachers and students.