Proceedings of the 5th International Conference on New Media Development and Modernised Education (NMDME 2025)

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Teaching Conditional Probability from the Perspective of HPM

Authors
Rui Wang1, Jinping Jiang2, *, Tuantuan Ke3
1Yan’an University, Xi’an, Shaanxi, 716000, China
2Yan’an University, Yan’an, Shaanxi, 716000, China
3Yan’an University, Shang’luo, Shaanxi, 716000, China
*Corresponding author. Email: jpjiang@yau.edu.cn
Corresponding Author
Jinping Jiang
Available Online 29 December 2025.
DOI
10.2991/978-2-38476-523-2_14How to use a DOI?
Keywords
HPM; conditional probability; teaching design; case of history of mathematics
Abstract

This study explores a new path for teaching conditional probability based on the perspective of HPM (History of Mathematics Embedded in Mathematics Education). Article organizes relevant historical materials on conditional probability, constructs a three-dimensional teaching framework with historical context as the starting point, ideological context as the main line, and real- application as the extension, by using historical cases such as the problems proposed by the French mathematician de Moivre in his “Doctrine of Chances” and the arguments put by Keynes in his “Treatise on Probability”. This teaching model can effectively improve students’ depth of understanding of concepts, critical thinking, logical reasoning ability, and in learning, and provides a feasible example for the practice of HPM concept in probability teaching. It also provides new ideas for the current core literacy-oriented mathematics curriculum reform.

Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 5th International Conference on New Media Development and Modernised Education (NMDME 2025)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
29 December 2025
ISBN
978-2-38476-523-2
ISSN
2352-5398
DOI
10.2991/978-2-38476-523-2_14How to use a DOI?
Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Rui Wang
AU  - Jinping Jiang
AU  - Tuantuan Ke
PY  - 2025
DA  - 2025/12/29
TI  - Teaching Conditional Probability from the Perspective of HPM
BT  - Proceedings of the 5th International Conference on New Media Development and Modernised Education (NMDME 2025)
PB  - Atlantis Press
SP  - 136
EP  - 146
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-523-2_14
DO  - 10.2991/978-2-38476-523-2_14
ID  - Wang2025
ER  -