Analysis Of The Main Mathematical Thoughts And Methods In Primary School Mathematics Textbook

The thought of mathematics is the essential understanding of mathematics knowledge and its theory,the rational understanding of mathematical law and the soul of mathematics.The mathematical method is the way,methods and means taken in the process of putting forward problems,exploring problems and solving problems from the perspective of mathematics.Mathematical thinking and method represent an idea and a mode of thinking.It also represents an operation technology.It is a guiding ideology,basic strategy and basic tool for students to transform real problems into mathematical problems and then solve mathematical problems.Although the mathematics knowledge in elementary school is simple and shallow,contains rich,basic mathematical thoughts and methods.In primary school mathematics teaching,mathematics knowledge as a vehicle,to guide students to understand and comprehend the mathematical thought and method,is an important guarantee to enable students to improve the level of thinking and understanding of the value of mathematics,forming mathematical concepts,so as to promote the development of mathematics and to apply mathematics in the real life,it's also the essence of quality education.In this paper,we give a comprehensive and systematic analysis of mathematical thoughts and methods contained in the primary school mathematics textbooks of Beijing Normal University version distributed in each grade,each plate and different knowledge;Especially analysis in-depth the form of expression,the content distribution,the characteristics,the value and the significance for each thought;We also put forward the basic strategy of effective penetration of mathematical thoughts and methods in primary school mathematics teaching according to the characteristics and psychological characteristics of students,knowledge structure,ability to understand.Furthermore,the overall instructional teaching design for the idea of reduction in primary school was explained.The operation process of these strategies was illustrated through three different phases of cases.This paper is divided into seven chapters: The first chapter introduces the background of the problem,the purpose,the research content and the research methods.The second chapter is for primary school mathematics core concepts and mathematical thoughts,including the concept of definition and theoretical overview.The third chapter,the form of expression and content distribution of mathematics thoughts in primary school mathematics textbooks,tapping the mathematics thoughts and methods contains the primary school mathematics textbooks,gave a systemic analysis from two different dimensions: the form and the contents.We also analyze the basic characteristics of the primary school mathematics thoughts and methods.The fourth chapter carries out a comprehensive analysis of the concrete aspects of primary mathematics in nine mathematical thinking methods such as symbolization,classification,induction,analogy,reduction,model,equation,function,and number and shape combination.The fifth chapter puts forward the basic tactics of infiltrating mathematics thought and method according to the characteristics of mathematics thought and method: multiple inoculation,initial formation,application development.The sixth chapter takes the idea of reduction as an example,gives the overall teaching design and three specific cases of the permeation reduction thought.Chapter VII summarizes and reflects on research.Limited to the practical conditions,this paper is limited to the theoretical level and some of the strategies and schemes that have been put forward are also to be tested and improved in practice.