Research On The Teaching Design Of Elementary School Mathematics Problem Solving Based On The Idea Of ??mathematical Model

In the teaching of mathematics,the modeled teaching that categorizes mathematical problems is not conducive to the development of students.The problem types are fixed,and the thinking of students becomes mechanized,and it is easy to form a thinking pattern.As we all know,in production and life,the mechanized program is suitable for "batch" operations,can not flexibly respond to the actual situation.Mechanized memory cannot make students face the diverse and changeable real world.In actual teaching,we should focus on cultivating students' mathematics literacy,and flexibly use the known to solve real unknown problems.This research is based on the existing research on problem solving and mathematical model thinking,probing the basic mathematical model thinking contained in the field of primary school mathematical numbers and algebra,and constructing the teaching design of primary school mathematical problem solving based on mathematical model thinking.It provides possible materials or basis for the construction of the theoretical system of the core literacy of elementary school mathematics,and provides a possible model for the problem-solving teaching of front-line teachers.The specific research process is as follows: First,the literature analysis method is used to collect,organize and analyze the existing research results at home and abroad from the two perspectives of problem solving and mathematical model thinking to determine the research direction.Secondly,starting from the dimension of mathematics thinking mode,in-depth analysis of elementary mathematics "number and algebra" problem solving in the field of basic mathematical model ideas are additive model ideas and equation model ideas.Furthermore,the problem-solving instructional design concept based on mathematical model thinking is carried out from two angles: one angle is,a complete lesson angle conception problem solving instructional design based on mathematical model thinking;Model thinking is used to design problem-solving teaching,that is,to construct teaching design from the whole and part.Finally,the above theoretical analysis is combined with actual teaching to carry out and analyze the problem solving teaching design case based on the addition model idea / equation model idea.Combining mathematics model thinking and problem solving teaching has the value of times education and teaching.Constructing elementary school mathematics problem solving teaching design based on mathematics model thinking is conducive to the cultivation of student model literacy.Classroom actual teaching based on instructional design theory has produced positive results.Based on the research theory and teaching practice,several suggestions for front-line teachers to carry out practical teaching are put forward: improve teachers 'professional literacy,integrate mathematical model ideas into normal classrooms;pay attention to the main body of mathematical modeling,based on students' life experience;improve students 'mathematical literacy,Avoid mechanical training on modeling;adhere to the teaching of modeling and modeling,deepen the thinking of mathematical models;follow the principle of gradual progress,and gradually strengthen the modeling ability.The teaching design model is not fixed and should be changed and designed according to different teaching environments.However,due to its own limitations and other factors,this research also has certain shortcomings: the research scope is in the field of mathematics and algebra,and the teaching practice guidance is not comprehensive;the research process is fragmented and lacks integrity.How to use model thinking for routine teaching,and what mathematical models are contained in "graphics and geometry" and "statistics and probability" ? It deserves more thinking and attention.