PrPractical Research On The Cultivation Of Mathematical Thinking Ability In High School Mathematics Teaching

High school mathematics is a process of exercising stucdents' thinking.What students need to learn is not only knowledge and skills,but also the development of thinking ability in mathematics learning.As designers,organizers and administrators of teaching activities,teachers should constantly modernize their teaching and cultivate talents in line with the social standards of the new era.Mathematical thinking ability is the core of intelligence.To develop reasonable teaching strategies and tap students' potential intelligence is conducive to improving students' mathematical thinking ability and improving students,mathematical learning efficiency.From the perspective of students,the current level of students' thinking ability was investigated through a questionnaire.Then,from the perspective of teachers,the causes of students' thinking disorder were analyzed by using the interview method.Based on the survey results and the actual situation,reasonable cultivation strategies were formulated and verified by experiments.According to the current situation,this study proposes to "chapter limits,improving students' knowledge system","guide the student to focus on mathematical theorem,formula derivation,attaches great importance to the multi-angle thinking","set type practice","restructuring the same problem optimization method system,attaches great importance to the mathematics thinking method of refining," such as teaching measures to optimize the students' cognitive structure;The paper proposes to implement measures such as "strengthening the ability of physical situation representation,graph or diagram representation,model or schema representation" to improve students' ability to represent mathematical problems in various ways.This paper puts forward three measures to improve students' mathematical thinking ability,that is,"showing teachers'thinking process","increasing students' chances and time to communicate with each other",and "strengthening students' reflection on solving problems".There is a positive correlation between students' mathematics achievement and students'mathematics thinking ability.Therefore,to improve students' mathematics achievement,we can start from cultivating students' mathematics thinking ability.