Study On The Teaching Strategies Of "Number And Algebra" In Primary School Based On Modeling Thought

With the arrival of the 21 st century,"what kind of person should education produce" has become a problem that the whole society needs to think about.In today's new era,the ability to solve problems is of vital importance,so the idea of model closely related to problem solving is also receiving more and more attention in various industries.Model is one of the three basic ideas of mathematics,there is a very important position in the mathematical thought method,it to a person's mathematical quality education,the development of the thinking mode and real life is self-evident in the influence of work or study,the cultivation of the idea of new curriculum reform will also model as a key project.Therefore,this study explores the teaching strategy of "number and algebra" in primary schools based on the model idea.The research mainly includes the following contents:First of all,in this study a large number of works refer to relevant theory and literature,and carries on the classified analysis,on the basis of the specific meaning of the idea of combining model,as well as learning theory,Bruner's cognitive structure,Freudenthal's mathematical ideas such as theoretical basis,based on model of elementary school "number and algebra" teaching characteristic,principle and method are summarized.Secondly,the course content of "number and algebra" is sorted out,and relevant knowledge points that can be abstracted as mathematical models are comprehensively summarized.It is found that most of the knowledge points can be abstracted as mathematical models,and the presentation of some mathematical models in primary school mathematics textbooks is analyzed.Then,through questionnaire,interview,classroom observation and other research methods,from the teacher's understanding ofthe model idea;The knowledge of "number and algebra" model thinking;In the teaching of "number and algebra",the implementation of the model idea is investigated and analyzed.Thirdly,the problems existing in the teaching of "number and algebra" in primary schools based on model ideas are summarized.To "number and algebra" in the content of the model thought knowledge is not comprehensive;Attaching too much importance to the mastery of knowledge and neglecting the process of inquiry;Lack of effective teaching strategy to implement the model idea.Then,the reasons behind the problem are explored.The main reason is that teachers pay little attention to the model thought.Lack of systematic mastery of ontological knowledge;The traditional teaching concept of knowledge orientation is difficult to change and the teaching strategies and methods of model thinking are not well understood.Finally,according to the existing problems in the current teaching and analysis of the causes,the corresponding teaching strategies are proposed,specifically: to strengthen the training and learning,improve the quality of teachers;Comprehensively sort out teaching materials and make teaching plans;Cleverly set the problem situation to discover the quantity relation;Go through the process of mathematics and cultivate the thought of model;Independent cooperative exploration and deepening model thinking;Timely summary and reflection,migration of application model,etc.,part of the strategy discussion also combined with relevant cases for detailed explanation.