| With the deepening of the new curriculum reform,more and more attention has been paid to the application of mathematical thinking methods in teaching.The mathematics curriculum standard of compulsory education(2011)The general goal of "through the mathematics learning in the compulsory education stage,students can obtain the basic knowledge,basic skills,basic thinking methods and basic activity experience of mathematics necessary for adapting to social life and further development",which is adjusted from the original "double base" to "four bases",clearly including mathematics thought in one of the basic goals of primary mathematics in the compulsory education stage,As a commonly used mathematical thinking method in primary school,hypothesis method is also a commonly used method in solving problems in primary school mathematics.Compared with other mathematical thinking methods,the proportion of hypothesis method in primary school mathematics teaching is relatively low,and the related academic research is relatively small,which leads to many primary school mathematics teachers’insufficient understanding of hypothesis method.What is the ideological connotation of hypothesis method?What are the contents of the teaching materials related to the hypothesis method?What is the current situation of the application of hypothesis method in primary school mathematics teaching?How can we effectively apply the hypothesis method in primary mathematics teaching?Therefore,this topic will focus on these issues for research and design,hoping to provide some help for front-line teachers in the application of hypothetical method in teaching.This study is divided into seven parts:The first part is the introduction.It mainly involves the research background,research purpose and significance,research methods and ideas.The second part is literature review.Through consulting and sorting out the research results of mathematical thought method and assumption method at home and abroad,it is found that assumption method is still the research of philosophy of science methodology in theory,and systematic theoretical research as mathematical thought method is rare.In our country,there are relatively few researches on the application of the hypothesis method in the primary school mathematics teaching.The researches in the primary school mainly focus on the front-line teachers’ researches on the specific typical mathematics problems,lacking systematic and theoretical understanding of the hypothesis method.The third part is an overview of related theories.On the basis of summarizing the previous theoretical achievements,this paper discusses the origin of hypothesis method.This paper divides the false attempt into two definitions:the broad sense and the narrow sense,and discusses the educational value of the hypothetical method in the primary school mathematics teaching mainly in three aspects:it is conducive to the implementation of the new curriculum standard,to the improvement of teachers’ education and teaching level,to the transformation of students’learning methods,and to the development of students’ scientific literacy.The fourth part is data and data analysis.This part analyzes and arranges 12 volumes of mathematics textbooks for compulsory education published by the people’s education press from grade one to grade six,lists the presentation of the hypothesis method in each volume of textbooks,and finds that the content related to the hypothesis method in each volume of textbooks is small in total amount,scattered in distribution and discontinuous in content arrangement;it is uneven in the column of textbooks,with many exercises and few examples;it is in the field of knowledge according to the distribution type of hypothesis method in teaching materials,it can be divided into direct hypothesis type and data hypothesis type.Taking all the teachers and all the sixth grade students in the practice primary school as the objects of investigation,a set of questionnaires were compiled and implemented respectively to understand the current situation of the application of the hypothesis method in the primary school mathematics teaching,and the results of the questionnaire were statistically analyzed.It was found that the main problems of the teachers included the lack of in-depth understanding of the hypothesis method,the inadequate grasp of the teaching materials,and the lack of understanding of the students’ learning situation.The main problems of students include the lack of systematic and in-depth study of false ideas,the lack of initiative in learning,and the lack of active thinking.The fifth part is the case analysis.Combined with the classic teaching cases,it can provide a reference for the actual teaching activities of the front-line teachers.The sixth part is the conclusion and suggestion.Combined with the results of the previous research,this paper puts forward some targeted suggestions:strengthen the study of teachers’educational theory,improve teachers’ professional quality;clarify the relationship between mathematical knowledge,mathematical thinking methods and teaching materials;change the traditional teaching mode and evaluation mode,implement the educational concept of the new curriculum reform;deepen the communication between teachers and students,and strengthen the main position of students’ learning.The seventh part is the research summary.Summarize the main results and shortcomings of this study. |