The Critics and Contributions of Mathematical Philosophy in Hong Kong Secondary Education

25 Pages Posted: 16 May 2016 Last revised: 21 Jul 2020

Date Written: May 14, 2016

Abstract

There are various schools of mathematical philosophy. However, none of them can be founded on mathematics alone. At the same time, there are two types of mathematical proof styles: Dialectic and algorithm mathematical proof. The relationship between proof and philosophy is to study philosophical problems with mathematical models. This type of proof is important to Hong Kong Secondary education. In addition, teachers should explain the connection between mathematics-based subjects, such as mathematical formula in physics, so that lessons are more interesting rather than technical. Mathematics relates to nearly all other subjects, and as such has the role of a ‘public servant’ when it comes to serving them. One role of mathematics is to act as a ‘rational’ instrument for various subjects. This can be shown in many ancient human activities, such as Daoism and Liu Hiu, together with their symbolic representations. These examples are similar to Jewish culture; when discussing confidence, Abraham is often mentioned due to being the “Father of Confidence”. Thus, it may be said that mathematics is more than just a servant—it is also a cultural subject that has been recorded throughout history. To conclude, other than mathematical proof, Hong Kong teachers should also allow students to learn the cultural context behind various topics and subjects.

Keywords: Mathematical Education, Mathematics Philosophy, Mathematical Proof

JEL Classification: c00

Suggested Citation

Lam, Kai Shun, The Critics and Contributions of Mathematical Philosophy in Hong Kong Secondary Education (May 14, 2016). Available at SSRN: https://ssrn.com/abstract=2779870 or http://dx.doi.org/10.2139/ssrn.2779870

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