Elementary School Mathematics Teaching Design Based On Mathematics Ideas

Mathematical thought is the soul of mathematics.With the implementation of the basic curriculum reform,primary school mathematics teaching has changed from "double base" to "four bases",emphasizing the cultivation of mathematical ideas.Instructional design is the basis of effective teaching and the starting point for teaching.The "Formula and Equation" unit is the starting point for students' transformation from arithmetic learning to algebra learning.It contains four core mathematical ideas.Therefore,based on the content of "formula and equations",teaching design from the perspective of mathematical thinking is in line with the actual needs of the new curriculum reform.On the basis of previous studies,this research comprehensively uses the literature research method,interview method and survey method,and pays attention to the following three questions: How to design primary school mathematics teaching based on mathematical ideas? How to reflect mathematical thought in instructional design? What are the gains and shortcomings in the implementation of the "formula and equation" teaching design based on mathematical ideas?How to carry out primary school mathematics teaching design based on mathematical ideas is based on reading the literature to extract five steps of teaching design based on mathematical ideas: mining mathematical ideas,determining teaching elements,infiltrating mathematical ideas,backtracking mathematical ideas,and applying mathematical ideas..Based on this,the teaching design of "formula and equation" is taken as an example and put into practice,which proves that the five steps of primary school mathematics teaching design based on mathematical ideas are practical.How to reflect the mathematical thought in the teaching design is determined by the principles of teaching design,and the research links are organized according to the determined principles.The gains and shortcomings in the implementation of the "formula and equation" instructional design based on mathematical ideas were studied through interviews with teachers and students and analysis of questionnaires.Through the research of this thesis,the author analyzes the results and shortcomings achieved in the implementation of teaching design based on mathematical ideas.Reviewing the entire teaching design and implementation process,the author puts forward the following five suggestions for the teaching design ofprimary school mathematics based on mathematical thoughts: first,make teaching design based on mathematical thoughts and change the thinking;second,clarify the design steps of mathematical thoughts and follow the steps Third,grasp the key links of mathematical thought,and proceed step by step;fourth,apply mathematical thoughts to solve problems and consolidate migration;fifth,persist in infiltrating mathematical thoughts in teaching and accumulate.