The innovative application of Polya's problem-solving thought in the teaching of mathematical problem-solving--Take a conic section of the college entrance examination as an example

Abstract

In view of the current situation of mathematics teaching thinking and the problems, which are easily overlooked in high school classrooms using Polya's problem-solving ideas. This paper innovates the "'how to solve it' list" in combination with the characteristics of the current era, which extends the "four steps to solve problems" into five steps. To take a conic section of the college entrance examination as the carrier, the five steps are applied in teaching mathematical problem-solving. It is expounded in detail to provide a method reference for optimizing the teaching thinking of high school mathematics teachers.