A Study on High School Mathematics Deep Learning Based on the Problem Chain Approach ——Taking “Monotonicity of Functions” from the First Volume of Compulsory Mathematics in High School (2019 New Edition, People’s Education Press) as an Example of Teaching Design in a New Path

Abstract

The logical chain of knowledge in classroom teaching is established on the basis of the logical structure of mathematics textbooks and the cognitive foundation of students. From the perspective of the concept of function, taking “monotonicity of functions” as an example, a new path of teaching design is reconstructed: by combining modern information technology, transforming teaching objectives into “problems”, and adopting a teaching method that allows students to construct knowledge autonomously, form skills, and establish a foundation for thinking, can promote the improvement of students’ core mathematics literacy