Teaching Research On The Ways Of Mathematical Thought In The Sixth Grade’s Mathematical Textbooks

In the Mathematics Curriculum Standard for compulsory Education(2011Edition),The requirements for mathematics teaching have changed from traditional "double bases" to "four bases".The new mathematical thought and ways and the experience of basic mathematical activities show that the teaching requirements of mathematical thought and ways are becoming younger.The sixth grade is in the critical period of transition from primary school to junior middle school.The sixth grade’s mathematical textbooks based on curriculum standards is permeated with many mathematical thought and ways,so what are the mathematical thought and ways in the sixth grade’s mathematical textbooks? How do students master the mathematical thought and ways permeated in these textbooks? How should teachers better infiltrate these mathematical thought and ways in teaching? The answers to such questions are particularly important for the realization of the concept of curriculum standards,the promotion of curriculum reform and the connection at the beginning of the year.In this study,the literature review method is used to sort out the existing research results of mathematical thought and ways,and the content analysis method is used to analyze the requirements and contents of the curriculum standards on mathematical thought and ways in the sixth grade’s mathematical textbooks.The questionnaire survey method was used to collect the relevant data of 60 primary school mathematics teachers about the present situation of mathematical thought and way teaching,and the interview method was used to interview three teachers.At the same time,the relevant data of 217 sixth graders’ cognition of mathematical thought and ways were collected.Finally,this paper makes a research and analysis of two high-quality teaching cases,and puts forward some teaching suggestions on how to infiltrate the thought and ways in the sixth grade’s mathematical teaching from three aspects: the learning of students,the teaching of teachers and the connection between primary and secondary schools.On this basis,the following conclusions are obtained:First,the orientation of mathematical thought and way in the curriculum standard is very obvious,with abstract,hierarchical and implicit characteristics.In the content presentation,through mathematical concepts,mathematical exercises,mathematical unit review to reflect a variety of mathematical thought and ways.These mathematical thought and ways will continue to study deeply in middle school mathematics,so in the primary school stage,especially in the sixth grade teaching,both teachers and students should begin to infiltrate and learn mathematical thought and ways.Second,in the teacher questionnaire survey,most teachers can realize the importance of mathematical thought and ways,but only 35% of teachers think that mathematical thought and ways can be clearly reflected in sixth grade mathematics textbooks.It shows that teachers’ consciousness of "teaching with teaching materials" is weak,and the teaching of mathematical thought and and ways stays in the form.In the teacher interview,the teacher can not comprehensively summarize the mathematical thought and ways in the sixth grade’s mathematical textbook and put forward the reasonable teaching measures.The student questionnaire survey found that 60.83% of the students could not apply the mathematical thought and ways in the textbook to the situation,indicating that the students could not master and use the mathematical thought and ways to solve mathematical problems.Third,combined with the previous investigation and case analysis,this paper obtains the teaching suggestions of infiltrating mathematical thought and ways:(1)from the aspects of students’ learning,through preview before class,use in class,review after class to know students’ better way of learning mathematics.(2)from the aspect of teachers’ teaching,it is necessary to grasp the design of teaching objectives,strengthen the training of teaching process,carry out teaching summary in time,and constantly infiltrate and consolidate mathematical thought and ways in teaching.(3)in the connection of primary and secondary schools,some middle school mathematical thought and ways can be infiltrated in advance in the sixth grade mathematics teaching.