Research On The Application And Cultivation Strategy Of The Thought Of Combination Of Number And Shape In Junior Middle School

The research of the combination of number and shape is one of the main contents of research in mathematics.It runs through the whole knowledge system of junior middle school.It is not only an ideological method to solve problems,but also a powerful weapon to promote students to further study,explore and study mathematics.At the present stage,Compulsory Education Mathematics Curriculum Standards(2011 edition)clearly put forward that the combination of number and shape is one of the methods to solve mathematical problems.Therefore,it is an important content of junior middle school mathematics teaching how to infiltrate the combination of number and shape in the classroom teaching.The main content of this paper is divided into three parts.Firstly,analyze the teaching content of quadratic function in junior middle school with the thought of combination of number and shape.This paper sums up the key points of quadratic function in junior middle school textbooks and the corresponding relationship between number and shape of quadratic function,and analyzes the requirements of the curriculum standards and the examination points of the senior high school entrance examination on the teaching of quadratic function.In order to investigate the scientific and effective basis,this paper further summarizes the examination form,examination difficulty and examination knowledge points of the senior high school entrance examination proposition in the recent ten years.It provides a favorable support for the investigation and research of this paper.Secondly,take the quadratic function teaching as an example to investigate the present situation of the combination of number and shape thought teaching in junior middle school.Combining the two aspects of questionnaire and test questions,from the four dimensions of emotional attitude,knowledge and skills,mathematical thinking,problem solving,the infiltration status of logarithmic combination thought in quadratic function teaching and the ability of combination of number and shape of students were investigated.The results of questionnaire and test show that the penetration and application of the combination of number and shape need to be improved.The last part is based on the research results of the second part to give the cultivation strategy of combination of number and shape in the teaching of quadratic function.One is to train students' thought of combination of number and shape in classroom teaching.It is necessary to enhance teachers' awareness of permeating the thought of combination of number and shape;Pay attention to the conversion of symbolic language and image language to deepen students' understanding of abstract concepts;Use the horizontal transfer of knowledge to allow students to experience both the transformation of the thought of combination of number and shape,as well as the application of the thought of combination of number and shape;Teachers pay attention to enriching mathematics teaching methods in teaching,so that students can more intuitively experience the thought of combination of number and shape.The second is to train students' thinking of combination of number and shape through the improvement of three abilities in extracurricular practice: thinking of shapes by numbers,deducing numbers by shapes and combining number and shape.