Research On Instructional Design For Cultivating The Geometrical Intuition Ability Of Junior High School Students

Geometric intuition plays a very important role in guiding the development of mathematics in the compulsory education stage and in innovating mathematics teaching methods.Use geometric intuitive graphics as the teaching carrier to enrich classroom teaching theories,continuously improve teaching methods,update teaching concepts,and open up new channels for the development of teaching theories.However,most of the current researches focus on the cultivation of geometric intuition in elementary school and intuitionistic imagination in high school.There are few studies on the cultivation of geometric intuition in junior high school.Therefore,this article focuses on the question of how to cultivate the geometric intuitive ability of junior high school students,and selects the second-year students as the research object,and designs the geometric intuitive teaching for the content of the relevant sections.This article uses literature analysis method,descriptive research method,questionnaire survey method,and case analysis method to conduct research.The literature analysis method is mainly used in the research of geometric intuition related concepts,functions,teaching strategies and mathematics teaching design.With the help of questionnaire survey method,the current situation of geometric intuition of teachers and students in junior two is investigated,to understand the understanding of teachers and students on geometric intuition,to analyze the results,and to find out the problems encountered in cultivating students' geometric intuition ability in teaching.Use the case analysis method to analyze the compiled cases and discuss the strategies of geometric intuitive teaching design.The main body of the article is divided into three parts.The first part is the literature review and theoretical basis.Through literature analysis,refer to the research results of many scholars on geometric intuition ability,and define the related concepts of geometric intuition ability based on the curriculum standard and its interpretation.According to the content to be studied,the theoretical basis is selected as the constructivist learning theory,the principle of intuitiveness,and the principle of combining abstract and concrete.The second part is an investigation of the current situation of geometric intuition of teachers and students in the second grade.Through descriptive statistical analysis of the test results,it is concluded that there are three main obstacles in the formation of geometric intuition ability of students:First,teachers,most teachers are Ignoring the cultivation of students' geometric intuition,the teacher's own geometric intuition ability needs to be improved;secondly,on the part of students,students have a strong psychological dependence and seldom practice,which hinders the development of thinking;thirdly,there is no one so far.It is difficult to test and evaluate students' abilities in this aspect because of the accurate evaluation of students' geometric intuitive standards.The third part is based on the requirements of constructivist learning theory,intuitive teaching principles,abstract and concrete combination theory and curriculum standards,and conducts geometric intuitive teaching design research on the second grade mathematics teaching content.According to the requirements of the ?New Curriculum Standard?,the mathematics teaching content of the second grade is divided into three sections: "Numbers and Algebra","Figures and Geometry",and "Probability and Statistics".The system explains how to train students in the teaching of second grade mathematics.Geometry intuitive ability,and the content of each section is designed according to the corresponding geometric intuitive teaching design strategy.