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Research on Integrated Teaching of Mathematical Units from the Perspective of HPM

Author(s)

Hongwei Ji1, Zhengmei Lu2,*

Affiliation(s)

1Nantong Normal College, Nantong, Jiangsu, China 2Rudong County No.1 Senior High School, Nantong, Jiangsu, China *Corresponding Author.

Abstract

In recent years, unit holistic teaching has been continuously focused on as an effective way to implement core competencies. This teaching method takes a global perspective, organizes teaching content from a unit perspective with systematic thinking, and emphasizes the improvement of students' basic abilities and the development of core competencies. At the same time, teaching based on the history of mathematics is highly valued, HPM (History and Pedagogy of Mathematics) entered the mathematics classroom teaching. HPM teaching can transform science oriented mathematics into education oriented mathematics, thereby maximizing the educational value of the history of mathematics. HPM teaching coincides with unit teaching. This article conducts in-depth research on the overall teaching of mathematical units, sorts out the development of mathematical history, explores the historical background of mathematical knowledge, calculates the evolution process, and effectively integrates mathematical history resources into unit teaching design. The introduction of M-perspective can effectively enrich the content of mathematics teaching, enhance students' interest in learning, deepen their cognitive depth, and help cultivate students' innovative thinking ability in mathematics. Explore the overall teaching implementation strategy of mathematical units, propose corresponding teaching suggestions, and provide reference for mathematics educators.

Keywords

HPM; Integrated Teaching of Mathematical Units; History of Mathematics; Mathematics Teaching

References

[1] Li Huilin, Han Xianglin. HP Research on the Design of Mathematics Unit Teaching from the Perspective of M: Taking the Unit of "Linear Equations" as an Example. Mathematics Teaching Research, 2022, 41 (4): 33-39. [2] Lü Zengfeng, Jie Liejun. HPM Mathematical Unit Teaching Design from the Perspective of: Taking "Sequence" as an Example. Middle School Mathematics, 2023 (21): 14-16. [3] Changning. Analysis of Mathematics Unit Teaching Design from the Perspective of HPM. Journal of Kaili College, 2018, 36 (6): 114-118. [4] Peng Lei. Research on Unit Teaching Design Based on Big Concepts from the Perspective of HPM. Shanghai Normal University, 2023. [5] Deng Huijing. Research on the Teaching of Conical Curve Elements from the Perspective of HPM. East China Normal University, 2024. [6] Cheng Xiaowen. Research on Unit Teaching Design of High School Mathematics from the Perspective of HPM. Tianjin Normal University, 2022. [7] Hua Youfang. Practical Research on Unit Teaching of High School Mathematics from the Perspective of HPM. Shanxi Normal University, 2023. [8] Wang Zhijun. Using HPM theory to promote the professional development of teachers through relocation practice Teaching Monthly Primary School Edition (Comprehensive), 2022 (4): 4-6. [9] Zhu Chencai. Lesson Goal Design from the Perspective of HPM: Taking the "Circle and Fan" Unit Teaching in Shanghai Education Press as an Example. Mathematics Teaching Research, 2022,41 (2): 34-39. [10] Wang Haiqing, Cao Guangfu. Freudenthal's Mathematics Education Thought and Its Further Development. Chinese Mathematics Education, 2021 (22): 3-8. [11] Yu Lihai, Li Xiaoni Overall review teaching of middle school mathematics units from the perspective of HPM: taking the review of the basic properties of circles as an example. Research on Classroom Teaching in Primary and Secondary Schools, 2021 (5): 4-8.