International Journal of New Developments in Education, 2025, 7(8); doi: 10.25236/IJNDE.2025.070805.
Chongxue Wang, Hongkai Wang
University of Jinan, Jinan, China
Mathematical propositions are fundamental building blocks of the knowledge system in high school mathematics. To advance competency-oriented curriculum reform, align proposition-based instruction with students' cognitive experiences, and achieve deep integration of teaching and learning, this study takes the "Graphs and Properties of Exponential Functions" as a specific case to explore how to construct students' CPFS structure (a theoretical framework of cognitive structure) in proposition-based teaching. The paper begins by outlining the knowledge system of exponential functions' graphs and properties, clarifying core concepts and their intrinsic connections. It then establishes learning objectives for the lesson, and finally proposes an instructional process design based on the CPFS structure. This aims to provide practical teaching insights for educators, promote the systematization of students' cognitive structures, and optimize the teaching reform of mathematical proposition instruction in high school.
CPFS Structure, Proposition Teaching, Exponential Functions
Chongxue Wang, Hongkai Wang. Design and Reflection on High School Mathematics Proposition Teaching Based on the CPFS Structure: A Case Study of "Graphs and Properties of Exponential Functions". International Journal of New Developments in Education (2025), Vol. 7, Issue 8: 31-37. https://doi.org/10.25236/IJNDE.2025.070805.
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