Research On The Teaching Of Combining Numbers And Shapes To Help Cultivate Divergent Thinkin

Divergent thinking is an important form of human creative thinking,which can help us gain a more comprehensive and profound understanding and stimulate new ideas and solutions.With the development of science and technology,the combination of number and form has been paid more and more attention as a special way of thinking because of its enlightenment effect on divergent thinking.The combination of number and form is a kind of thinking mode that analyzes the mathematical meaning based on the internal relation between the condition and the conclusion of a mathematical problem,and organically combines the quantitative relation with the spatial form through the method of geometric intuitive display,so as to establish the problem solving model.As a common mathematical method,the combination of number and form can study and solve mathematical problems intuitively with the help of graphics.In this process,it can not only simplify the operation process and improve the problem-solving efficiency,but also deepen the understanding of the quantitative relationship of students,expand the learning space,open the thinking potential,enable students to gradually establish and cultivate divergent thinking,and constantly enhance the core quality of mathematics.By analyzing the content of teaching materials,this paper carefully studies the combination of number and form in the teaching materials,summarizes the knowledge points that can permeate the combination of number and form in the teaching materials,and puts forward ways to cultivate students’ divergent thinking by using the combination of number and form method.This paper analyzes the effect of log-form combination on cultivating students’ divergent thinking and provides a reference for teachers to infiltrate the thought of number and form combination in concrete teaching practice.It takes time to absorb and accumulate experience to learn,master and apply the thought and method of any subject.The thought of combining number and form is a commonly used thinking method in the process of mathematical problem solving.Therefore,it is necessary to infiltrate this thought in the teaching process and lay a solid foundation through mathematical exercises.Thus,it provides inexhaustible motivation for students to better learn and master the number line,function,curve,coordinate and other contents in middle school,and even the further in-depth study of mathematics.Based on the theory of the combination of number and form and the cultivation of divergent thinking,combined with the thinking mode of students and the subject characteristics of mathematics teaching,this paper analyzes and studies the effective ways to cultivate students’ ability to combine number and form and divergent thinking.Through literature analysis and case analysis,it summarizes and absorbs the current theoretical research results at home and abroad on the combination of number and form to help students cultivate divergent thinking and mathematics teaching.Actively explore the new teaching mode of mathematics classroom under the background of new curriculum standard,and through the implementation of the teaching mode of cultivating divergent thinking,more effectively mobilize students’ learning participation,help students to improve their learning ability and thinking ability,and lay a solid foundation for students’ long-term development.Through this study,it can not only enrich the relevant theories of mathematical combination of number and form and the cultivation of divergent thinking,but also provide important references for further promoting the innovative development of mathematics subject education and optimizing teaching design,so as to more effectively cultivate students’ divergent thinking,learning ability and innovative spirit.