A Case Study For The Mathematics Teaching Based On Mathematical Thought And Method In The Primary School

The methods of mathematical thought have an irreplaceable effect on the students' thinking level upgrade and the "four abilities " cultivation.In the standard of 2011 compulsory education curriculum,it is further emphasized the importance of mathematical thought methods.But it is not clear in knowledge and easy be ignored by teachers.So what are the mathematical thinking methods in textbooks? How does it present itself? How can teachers design the teaching method of infiltrating mathematical thinking? What is the result of students' learning in it? And so on,all of them need urgent to answerThis study employed literature analysis,content assay,case study and classroom observation methods,taking four grade textbook of PEP edition as the object.Firstly,the study analyzed the infiltration mathematical thought methods of textbook by combining the 2011 course standard.Then,five representative subjects,the number and algebra,graphics and geometry,probability and statistics,comprehensive and practical application,and mathematics wide angle are selected for the teaching design.Finally,the classroom implementation and effect analysis are carried out on above teaching design.The main conclusions of the study are as follows: firstly,combined with interprets the mathematical thinking methods in the fourth grade textbooks of the 2011 PEP edition curriculum standard,it is found that there are a lot of mathematical thinking methods related to abstraction,reasoning and modeling in textbooks.Among them,the thoughts methods related to abstraction have symbolic t,classification,set and constant thought in change;The thought methods related to reasoning include inductive,analogical,deductive,combination of number and type,substitution thoughts,transformation ideas,enumeration methods,and false hypothesis.The thought methods related to the model contain model,function,optimal,and statistic.These math thoughts methods and knowledge are contained in point of generating math questions,in a large number of image information,"elf" clues,practice design,and in unit summary.Secondly,based on the analysis of five subject in textbooks,five strategies for the construction of the mathematical thinking method of infiltration are constructed: pre-class grooming the teaching contents,creating a scene of contact with life,helping students to make abstract mathematical ideas concrete,carrying out diversified mathematical exploration activities to help students understand mathematical thinking methods,design of practice focuses on the transfer of thought methods,and refining mathematical thinking in the summary of reflection.Based on above strategies,five topics of the study of the mathematical thinking method were designed.Thirdly,through the analysis of classroom practice and the effect of the five teaching design,it is found that in the process of primary school teaching,the application of math thinking methods is feasible.Experience in such process,the students' ability of thinking and problem solving are enhanced,attitudes of learning are more positive,and more solid grasps of the knowledge.The innovation of this research lies in breakthrough the limitations of the existing research only for the infiltration of mathematical thought methods in a part of the curriculum content,and the conclusion of the study will be more operational and feasible than the previous research.