“Because You’re Exploring this Huge Abstract Jungle…”: One Student’s Evolving Conceptions of Axiomatic Structure in Mathematics

Author:

Clark Kathleen MichelleORCID,Can Cihan

Publisher

Modestum Publishing Ltd

Subject

Education,General Mathematics

Reference30 articles.

1. Barnett, J. H., Lodder, J., & Pengelley, D. (2014). The pedagogy of primary historical sources in mathematics: Classroom practice meets theoretical frameworks. Science & Education, 23(1), 7-27. https://doi.org/10.1007/s11191-013-9618-1

2. Bernardes, A., & Roque, T. (2018). History of matrices: Commognitive conflicts and reflections on metadiscursive rules. In K. M. Clark, T. H. Kjeldsen, S. Schorcht, & C. Tzanakis (Eds.), Mathematics, education and history: Towards a harmonious partnership. ICME-13 Monographs (pp. 209-227). Cham, Switzerland: Springer International Publishing.

3. Bourbaki, N. (1950). The architecture of mathematics. The American Mathematical Monthly, 57(4), 221-232. https://doi.org/10.1080/00029890.1950.11999523

4. Brown, J. R. (1999). Philosophy of mathematics: An introduction to the world of proofs and pictures. New York, NY: Routledge.

5. Clark, K. M. (2012). History of mathematics: illuminating understanding of school mathematics concepts for prospective mathematics teachers. Educational Studies in Mathematics, 81(1), 67-84. https://doi.org/10.1007/s10649-011-9361-y

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