Infiltrate The Practical Research Of Elementary School Mathematical Model Thinking

Developing the necessary basic ideas is one of the general goals of mathematics learning in compulsory education.Among them,the basic idea of mathematics is the core of modern mathematics literacy,and the emphasis on the cultivation of basic idea of mathematics is the trend of the content reform of international primary school mathematics curriculum.The model thought is one of the basic thoughts of mathematics,which can be used to describe and solve a kind of real world problems consciously.It can be seen that infiltration model is inseparable from problem solving.Therefore,this paper aims to study the related problems of infiltration of primary school mathematical model thought from the perspective of solving problems,to practice and explore the basic teaching mode of infiltration of primary school mathematical model thought,to investigate and analyze the effect of teaching practice and to propose the strategy of infiltration of model thought.It is expected that in the process of modeling and solving practical problems,students will improve their awareness and ability of mathematization of life problems,realize the applicability and popularization of mathematical models,improve their awareness and ability of mathematical application,develop their consciousness of innovation and practical ability,and improve their mathematical thinking and mathematical literacy.In the study life,students can consciously seek the rule,summarize thought method and enhance the independent study ability.The full text is divided into six parts.The first part is introduction.In combination with the interpretation about the idea of "model" in compulsory education mathematics curriculum standard(2011)and the related literature,this paper models the feasibility and significance of the ideological infiltration in the elementary school mathematics.The second part focus on the definition of relevant research literature,and lays a theoretical foundation for further teaching practice research.The third part presents the research to the students in Grade6 in author's school of investigation and study to infiltrate mathematical model of the status quo.Combined with case,the fourth part elaborates the process of problem solving in teaching idea of infiltration model.Research methods:this study adopts three research methods:literature review,investigation and case study.Through the method of literature materials,relevant literature works are sorted out to construct the theoretical basis and operation mode based on the idea of problem solving infiltration model.Using the survey method,to study the status quo of infiltration of elementary school mathematics model,and the transformation of the teaching practice and students and teaching effect.Through the case study method,part of the teaching content is selected as a case for study.After class,analysis,research and arrangement are carried out to adjust the process mode and method based on the idea of problem-solving penetration model to adapt to the cognitive characteristics and level of primary school students.This paper summarizes the possible problems in the process of teaching based on the idea of solving the problem infiltration model and puts forward the corresponding countermeasures.It is found that six-step process teaching(1.Create the problem situation and perceive the "prototype";2.Form mathematical problems and propose hypotheses;3.Establish mathematical models and focus on understanding mathematical thoughts;4.Solve the model and understand the meaning of the model;5.Verify the model and return to the problem situation;6.Applied the model and extended the model extension.)can improve students' emotion and attitude towards mathematics learning.It can improve students' awareness and ability of mathematical application and modeling,same as students' mathematical thinking and their mathematical literacy;To promote the development of various aspects of students and to enhance their mathematics learning ability can be dealt at the same time.However,there may be some problems in practical teaching,such as:students' lack of comprehensive ability,which limits the effective modeling;The intensity of learning motivation affects the efficiency of problem solving.Wrong understanding of modeling spirit leads to thinking pattern;The existing educational evaluation methods are not conducive to the development of modeling awareness and ability.To solve the above problems may occur,it is recommended that:Teachers can attach great importance to the creation of problem situation.They can make the mathematics thinking method through the modeling process.They can make the the process of model construction step by step.They can attach great importance to the independent,cooperative and inquiry learning ways and emphasize the application and promotion of ideas and strategies.They can also integrate various variants of the model with the help of mind mapping.Meanwhile,they can use multivariate evaluation form.