In this paper I seek to illustrate some aspects of the Erlangen Program, presenting certain passages taken directly from it. I deem that this can be useful in assisting teachers at any level to be able to approach the historical sources directly. They could then act as mediators on the basis of their own experience and preparation, naturally bearing in mind the reality of the classes which they face, rather than mediating that which has already been mediated by others. The idea is to avoid the presentation of a polished theory, rather constructing it together with students along the path of the original work. The aim is to make students reflect on the meaning of mathematical theories through experiencing historical moments of their construction, promoting a deep appreciation of the theories studied. I also touche on other ideas, perhaps less well known but of considerable interest for their connection with certain themes, such as the relation between intuition and formalization, the use of analytic methods or synthetic methods and the influence (or lack thereof) of different ways of representing space.

The Erlangen Program Revisited: A Didactic Perspective

BONOTTO, CINZIA
2007

Abstract

In this paper I seek to illustrate some aspects of the Erlangen Program, presenting certain passages taken directly from it. I deem that this can be useful in assisting teachers at any level to be able to approach the historical sources directly. They could then act as mediators on the basis of their own experience and preparation, naturally bearing in mind the reality of the classes which they face, rather than mediating that which has already been mediated by others. The idea is to avoid the presentation of a polished theory, rather constructing it together with students along the path of the original work. The aim is to make students reflect on the meaning of mathematical theories through experiencing historical moments of their construction, promoting a deep appreciation of the theories studied. I also touche on other ideas, perhaps less well known but of considerable interest for their connection with certain themes, such as the relation between intuition and formalization, the use of analytic methods or synthetic methods and the influence (or lack thereof) of different ways of representing space.
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/1772130
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