Research On The Conic Problem Solving Strategy From The Perspective Of Mathematical Core Literacy

Conic knowledge module plays an important role in high school mathematics teaching,and also has a great contribution to the development of modern society science and technology.In this paper,based on the perspective of mathematical core literacy,the study of conic problem-solving strategies can not only make students understand conic more deeply,but also help students to improve their ability of using problem-solving strategies.This study first analyzes the problem-solving strategies of conic in senior high school mathematics textbooks and college entrance examination.According to the teaching of conic,five kinds of problem-solving strategies are proposed,which are: pattern recognition strategy,number shape combination strategy,dynamic static conversion strategy,effective addition strategy,metacognitive strategy.This paper summarizes the mathematical thinking methods needed in the process of conic solution to guide the overall situation,and analyzes the formation and development of students' mathematical core literacy through the application of mathematical thinking methods in the problem situation.Secondly,through the test paper,the paper makes an in-depth investigation on senior high school students' mastery of the problem-solving strategies in the conic knowledge module,summarizes and analyzes the overall situation of the students' application of the problem-solving strategies in the process of dealing with the conic problems,aiming to improve the students' mathematical core literacy through the research on the problem-solving strategies.Through the sorting and analysis of the data,it is found that in the problem of conic curve,the best quality of problem-solving strategy is pattern recognition strategy,followed by metacognition strategy,number shape combination strategy,effective addition strategy and dynamic static transformation strategy.From the perspective of mathematical core literacy,visual imagination literacy and logical reasoning literacy are not well reflected in the process of solving problems compared with mathematical abstract literacy and mathematicaloperation literacy.Based on the perspective of mathematical core literacy,this paper puts forward some teaching suggestions on the conic problem-solving strategies:(1)actively guide students in the stage of knowledge orientation and problem representation;(2)teach students in accordance with their aptitude,and guide students to use problem-solving strategies in a targeted way;(3)emphasize the significance of problem-solving strategies,and help students to build a system of problem-solving strategies;(4)guide students to consciously reflect,refine and manifest Mathematics thought method;(5)infiltrate the psychological mode of problem-solving strategy step by step,and develop the core quality of mathematics.