See It as on Mathematical Thinking with Mathematical Representation: Mathematization in Mathematics Education for Human Character Formation

Masami Isoda

doi:10.52296/vje.2026.897

Authors

Masami Isoda Bureau of Global Initiatives, University of Tsukuba, Japan

DOI:

https://doi.org/10.52296/vje.2026.897

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Isoda, M. (2026). See It as on Mathematical Thinking with Mathematical Representation: Mathematization in Mathematics Education for Human Character Formation. Vietnam Journal of Education, 10(2), 121–137. https://doi.org/10.52296/vje.2026.897

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Abstract

How can we configure the school mathematics curriculum to develop mathematical thinking? Theories in mathematics education explain it using different terminologies. Firstly, this article reviews theories and nature of curriculum for overcoming contradiction, secondly focuses on developing mathematical thinking in Southeast Asia Region for overcoming and focused on mathematical ways to see it as a part of human character formation, thirdly a theory of mathematical representations (Isoda, 1989 & 2015) is defined based on the ways to see it as, and fourthly mathematization process are explained by the representation theory for explaining how changes the way to see it as. These are illustrated by the cases of operational diagrams in figural representations, including Hanoi’s Tower.

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