The Research On Teaching Strategy Of "Number And Algebra" In Primary School Based On The Thoughts Of Symbolic-graphic Combination

According to the general goal of mathematics curriculum standards for compulsory education(2011)(hereinafter referred to as "curriculum standards"),students can acquire basic knowledge,basic skills,basic ideas and experience of basic activities necessary for adapting to social life and further development through mathematics learning at the stage of compulsory education."Curriculum standard" for the first time regards mathematics thought as one of the basic objectives of compulsory education,especially primary school mathematics education,and emphasizes the importance of mathematics thought teaching.But the classroom teaching is the implementation "the curriculum standard" the main position,the elementary school mathematics teacher must actively put the mathematics thought teaching into the teaching practice.From the perspective of teachers' teaching,this research takes the content of "number and algebra" field as the carrier in primary school and teachers' teaching design as the basis to carry out the investigation and research on mathematics ideological teaching.Firstly,based on the cognitive representation theory and constructivist learning theory,the author answers the question that mathematical thinking can be taught by consulting the literature.Secondly,according to the existing research results,the paper constructs an analytical framework for the teaching of "number and algebra" in primary schools based on the combination of number and form.Finally,according to the current situation to find out the problems in teaching,analysis of the causes and put forward a targeted optimization strategy.This research is divided into six parts,the first part of the introduction to the question,the purpose and significance of the research,the review of the relevant research,the research ideas and methods are systematically explained.The second part explains the theory of the combination of number and shape.From its function in the mathematics teaching,and based on the number form combining ideas to carry out the teaching on the basis of theory,on the basis of function analysis ofvalue and meaning of research,on the basis of theoretical analysis to clarify based on the number form combining ideas on "number and algebra" teaching more scientific,to study the feasibility of further instructions.The third part analyzes the necessity and possibility of the research.Firstly,the necessity of the research is explained from two aspects: the requirements of the course standard on the teaching of mathematics thought and the characteristics of the knowledge in the field of number and algebra in primary schools.Secondly,starting from the cognitive development level of primary school students and the characteristics of the content presentation of the western normal edition primary school mathematics textbook,the possibility of the research is analyzed and demonstrated.The fourth part starts from the teacher's teaching design,analyzes the elementary school teachers' teaching in the field of "number and algebra" from the three aspects of the setting of teaching objectives,the arrangement of teaching structure and the presentation of teaching contents,and obtains the teaching status by combining with the interview.It is found that there are some problems in the teaching of "number and algebra" based on the combination of number and form,such as lack of teaching consciousness,insufficient attention to the infiltration of mathematical thought in teaching,and insufficient teaching system.Finally,the paper analyzes the causes of the problems in teaching and provides the basis for the strategy.The fifth part is mainly based on the analysis of the current teaching situation,combined with the research results,from the enhancement of theoretical learning,improve the quality of teachers;Optimize the teaching structure and pay attention to the penetration of the combination of number and shape;The optimization strategy of "number and algebra" teaching based on the combination of number and form is put forward based on the combination of number and form.The sixth part reviews the research process,summarizes the research achievements and shortcomings,and on the basis of the results of the future research prospects.