Research on the Value Reconstruction and Practical Path of Mathematical Culture in the Context of Digitalization
HuangJiangshu
Chongqing Lixin Vocational Education Center, Chongqing,400000;
Abstract:With the deepening of curriculum reform and the advancement of digital education, the educational value of mathematical culture has become increasingly prominent. As a vital medium carrying the history and ideas of mathematics, the digitalization of mathematical culture offers new pathways to enhance classroom teaching. This paper focuses on reconstructing the value of mathematical culture in the digital era and explores in-depth integration strategies in classroom instruction from three dimensions: tracing the essence of concepts, grasping mathematical thinking, and expanding real-life applications. Through digital means, it aims to vividly present the developmental trajectory of mathematical concepts, dynamically demonstrate the evolution of mathematical thinking, and build bridges between mathematics and real-world disciplines. At the same time, it critically examines current deviations in practice—such as the decorative, technical, and superficial appreciation approaches—through specific teaching cases. The paper advocates for value-oriented, goal-driven, and student-centered instruction to achieve an organic integration of mathematical culture and digital technology, thus promoting its true integration into classrooms and nurturing students' core competencies.
Keywords: Mathematical Culture; Digital Instruction; Core Competencies; Mathematical Thinking; Classroom Practice
References
[1] Ministry of Education of the People's Republic of China. (2022). Compulsory Education Mathematics Curriculum Standards (2022 Edition). Beijing: Beijing Normal University Press, pp. 2, 76–77.
[2] Ministry of Education of the People's Republic of China. (2020). General High School Mathematics Curriculum Standards (2017 Edition, Revised 2020). Beijing: People's Education Press, pp. 10, 2.
[3] Tang, H. J. (2022). The Educational Implication of Mathematical Culture and the Value of Problem Chains. Research on Primary and Secondary Classroom Teaching, (07), 4–7.
[4] Cheng, S. R. (2023). Practical Research on High School Mathematics Concept Teaching Based on Disciplinary Core Literacy. Mathematics Bulletin, 62(08), 11–15.
[5]Jiang, Y. Q., Zheng, R. R., & Tang, H. J. (2023). Rethinking Radian Measure Teaching from the HPM Perspective. Research on Primary and Secondary Classroom Teaching, (08), 17–23.
[6] Gu, H. P., & Yu, Q. C. (2022). A Case Study of Information-Based Teaching from the Perspective of Mathematical Culture: Taking “Drawing a Rectangular Prism's Perspective View” as an Example. Shanghai Secondary School Mathematics, (09), 14–18.
[7] Li, W. L. (2011). Learning a Bit of History of Mathematics: Exploring the Historical Literacy of Secondary School Mathematics Teachers. Mathematics Bulletin, 50(04), 1–5.
[8] Ouyang, S. X. (2023). Archimedes' Estimation of Pi and Its Comparison with Liu Hui’s “Circle-Cutting Method” (Part 2). Mathematics Bulletin, 62(09), 46–50.
[9] Zheng, X. (2022). Mathematics Modeling Teaching: From Problem Posing to Knowledge Application — Reflections on the Lesson “Playing Music with Straws”. Secondary Education and Teaching, (06), 80–85.
[10] Yan, L., Wang, F., & Qian, D. (2022). A Study on Knowledge Visualization Issues in the Compilation of Ming Dynasty Digital Textbooks. Curriculum, Teaching Material and Method, 42(10), 91–96.
[11] Tang, H. R., & Zhang, Q. Q. (2021). Focus on Connections: Identifying, Growing, and Creating Mathematical “Patterns” — Teaching Practice and Reflection on “Koch Snowflake”. Primary Mathematics Teachers, (02), 38–43.
[12] Xu, Z. T., Wang, X. Q., & Mei, Q. X. (2012). The Principle of Cognitive Historical Genesis and Its Pedagogical Engineering — A Case Study in Mathematics. Journal of Mathematics Education, 21(01), 26–29.
[13] Zhang, W. Z. (2005). Cultural Tradition and the Modernization of Mathematics Education. Educational Research, 26(08), 36–41.