| Mathematics understanding runs through the primary school student's mathematics learning all the time,and has an important influence on the way and the result of the student's mathematics learning.In reality,pupils will often mechanically remember some problem-solving models or skills,resulting in a large number of mathematical knowledges become "dead knowledges ",difficult to transfer in practice.Therefore,how to promote primary school students to acquire active knowledge must improve the way and process of their mathematical understanding.Therefore,on the basis of the investigation of the present situation of the real elementary school student's mathematics understanding,this study,through the theoretical analysis and the practice verification,stands in the elementary school student's angle,discusses the practice direction which promotes its mathematics understanding,and carries on the more systematic theory construction and the practice to its mathematics understanding.This study mainly discusses and constructs the process elements of mathematics comprehension,the content of mathematical comprehension and the conditions of mathematical understanding in primary school students,and through combing the relevant literature,clarifying the basic connotation of understanding and mathematical understanding,and determining the case study method as the main research method.At the same time,the core objective of case studies is to understand what primary school students understand and how they understand in the course of mathematics.Then communicate theory and practice,determine the research content,explore and analyze the elements,content and conditions of mathematics understanding of primary school students,and then return to reality,and put forward strategies and suggestions for teachers' teaching.Finally,the research results are applied to practice to examine the operability of the theory.Through the discussion of mathematical understanding,this study holds that the mathematical understanding of primary school students is composed of five process elements,namely,text perception,the characterization of mathematical symbols,the interpretation and translation of characterization,abstract expression and verification and reflection,which is non-linear and spiraling.And in this process,students need to understand the content of mathematical concepts,mathematical relations,mathematical thinking methods,mathematical emotions and mathematical ideas.Mathematics comprehension is a comprehensive learning process,and the results of mathematics understanding point to the change of the cognitive structure of mathematics in primary school students.From the perspective of learning psychology,this study discusses the knowledgeary conditions,methodological conditions and emotional environment conditions of mathematics comprehension in primary school students.According to the reality of the mathematics comprehension of primary school students and the theoretical discussion of the composition and conditions of mathematics comprehension in primary school students,it is suggested that teachers can promote the mathematical understanding of primary school students from the three aspects of establishing correct mathematical characterization,combing mathematical general concepts and penetrating mathematical symbols.Through the above theoretical construction and strategy suggest to design the corresponding practical scheme,the operation and effectiveness of the strategy to analyze and evaluate,and from the feedback information to obtain the following findings: students will "multiplier" number problem into the analysis structure of the meaning of multiplication;The level of mathematical abstraction has been improved,and it can migrate flexibly;In summary,the strategy put forward by this institute has certain operability,to a certain extent,can promote the mathematical understanding of primary school students. |