Research On The Application Of Number And Form Combined With Thought Method In The Teaching Of "Number Multiplication" In Primary School Mathematics

The combination of number and form is of great significance to mathematics teaching,which runs through the historical development of mathematics."Multiplication of numbers" belongs to the field of "number and algebra" in primary school,and has a profound connection with the combination of number and form.Although some researchers have realized the connection between the two and carried out teaching and research on the application of the combination of number and shape in the "multiplication of numbers" module,the application of the combination of number and shape in the "multiplication of numbers" module can improve the teaching of arithmetic and algorithm as a whole,but the predecessors have not fully involved.This study tries to integrate the combination of number and shape into the teaching module of "number multiplication".Firstly,the present situation of the teaching of "number and shape multiplication" is investigated.Secondly,it puts forward the improvement strategy of combining number form with "number multiplication" teaching.Then,through the relevance analysis and teaching case design to promote the combination of number and shape into the "number multiplication" teaching improvement.On this basis,the main research achievements of this paper are as follows:1.Through investigation and research,master the application status of combination of number and form in the teaching of "number multiplication".Through questionnaire and interview,two problems are found: in terms of cognition,teachers lack of learning related theories of thought methods and do not have a deep study of relevant discourse in the new curriculum standard,which leads to a lack of deep understanding of the log-shape combination thought and its connection with "number multiplication";In practice,due to the lack of teachers’ understanding of the connection between "multiplication of numbers" and the combination of number and form,and the lack of method guidance in the application of combination of number and form teaching,teachers have insufficient use in the teaching of "multiplication of numbers".2.On the basis of investigation,it puts forward the improvement strategy of combining number form with "number multiplication" teaching.In order to solve the problems existing in the application,two strategies are put forward: first,enhance the theoretical learning and improve the understanding level of teachers’ log-form combination thought;Second,based on the combination of number and form,reconstruct the teaching of "number multiplication".3.In order to clarify the deep connection between the combination of number and form and "multiplication of numbers",the relevance of the teaching of combination of number and form and "multiplication of numbers" is proved theoretically.First of all,based on the textbook analysis and demonstration of the number form combination and "number multiplication" of the appropriateness.Secondly,from the perspective of cognitive development and the history of mathematics,the paper analyzes the theoretical principle of the combination of number and form and the "multiplication of numbers".Thirdly,from the perspective of mathematics core literacy,this paper expounds the educational value of integrating number and form into the teaching of "number multiplication".4.A case of combining number form with "number multiplication" module teaching is given to provide an example for its application.With the idea of combining number and form as the main teaching tool,the whole lesson design of "number multiplication" module is carried out based on the seven units of "Number Multiplication" in primary school.It includes the way the idea of number and form combination is applied in each unit,the design of typical cases in each unit,and the educational value of number and form combination applied in the unit.