The Theory of Formalism Philosophy in Mathematics Learning

Authors

  • Zafrullah Universitas Negeri Yogyakarta
  • Atika Miftah Ramadhani Universitas Negeri Yogyakarta
  • Rizki Tika Ayuni Universitas Negeri Yogyakarta

DOI:

https://doi.org/10.61166/amd.v2i2.48

Keywords:

Philosophy, Formalism, Mathematics

Abstract

Philosophy has become an important field of study and is now being taught in schools and universities. This development has laid the foundation for the emergence of various schools of thought in modern philosophy. Formalism is an approach in mathematics that emphasizes the importance of using formal rules and mathematical structures in understanding and developing mathematical concepts. This article is a literature study that discusses the development of formalistic philosophy applied in mathematics education.

References

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Dedekind, R. (1888). Was sind und was sollen die Zahlen?. Braunschweig: Vieweg. English translation by. From Kant to Hilbert: A Source Book in Mathematics, 2, 787–833.

Hanna, G. (2000). Proof, explanation and exploration: An overview. Educational Studies in Mathematics, 44, 5–23.

Harel, G., & Sowder, L. (2013). Advanced mathematical-thinking at any age: Its nature and its development. In Advanced Mathematical Thinking (pp. 27–50). Routledge.

Hilbert, D. (2013). Grundlagen der geometrie. Springer-Verlag.

Lakoff, G., & Núñez, R. (2000). Where mathematics comes from (Vol. 6). New York: Basic Books.

Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. Language, education, and society. London: Routledge.

Rota, G.-C. (2008). Indiscrete thoughts. Springer Science & Business Media.

Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge university press.

Skemp, R. R. (2012). The psychology of learning mathematics: Expanded American edition. Routledge.

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Published

2024-12-17

How to Cite

Zafrullah, Atika Miftah Ramadhani, & Rizki Tika Ayuni. (2024). The Theory of Formalism Philosophy in Mathematics Learning. Amandemen: Journal of Learning, Teaching and Educational Studies, 2(2), 99–109. https://doi.org/10.61166/amd.v2i2.48

Issue

Vol. 2 No. 2 (2024): Educational and Learning Innovation

Section

Articles

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Copyright (c) 2024 Zafrullah, Atika Miftah Ramadhani, Rizki Tika Ayuni

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.