| The Mathematics Curriculum Standards for Compulsory Education(2022Edition)makes clear requirements for mathematical ideas in the curriculum objectives and emphasizes the importance of teaching mathematical ideas.The idea of transformation is one of the basic mathematical ideas in elementary school,and it plays a very important role in the improvement of students’ learning ability and the development of mathematical thinking.However,in the actual teaching of "graph and geometry" in elementary school,there are still many problems in teachers’ penetration and application of the idea of transformation.In this paper,we try to propose a teaching strategy based on the idea of transformation in elementary school.This paper mainly uses literature research method,case study method,questionnaire survey method and interview method to study the application strategies of transformation ideas in teaching "graphs and geometry" in middle and upper grades of elementary school mathematics.The study is divided into five parts: First,Introduction.It introduces the origin,significance,literature review,theoretical foundation,research ideas and methods,and core concepts of this study.Second,the application of the idea of inductive transformation is sorted out.This paper presents a comprehensive analysis of the knowledge points of the idea of transformation in the "Graphs and Geometry" textbook of the middle and upper grades of elementary school,and clarifies in which knowledge the idea of transformation can be infiltrated.The paper also analyzes examples of the application of the idea of transformation in teaching,and shows how to promote the teaching of "graphics and geometry" through the penetration of the idea of transformation.Thirdly,we investigate the application of the idea of transformation in teaching.A combination of teacher questionnaires and teacher interviews was used to understand the application of the idea of transformation in the field of "graphs and geometry" in the middle and upper grades of elementary school mathematics,in terms of teachers’ knowledge and mastery of the idea of transformation,its penetration in teaching,and reflection and evaluation.Fourth,we summarize the existing problems in the application of transformation ideas and analyze their causes.The survey found that there are several problems in the application of the idea of transformation in the teaching of "graphs and geometry" in the middle and upper grades of elementary school:teachers do not pay due attention to the idea of transformation and fail to understand it deeply;they do not analyze the textbooks thoroughly and fail to incorporate the idea of transformation into the teaching objectives;the teaching concept is outdated and fails to penetrate the idea of transformation in a diversified way;the scope of application is rather fixed.The scope of application is relatively fixed,and the application of the idea of transformation is not applied in multiple lessons and multiple sessions;the teachers do not pay attention to teaching research and lack of reflection and evaluation of the application of the idea of transformation.Fifth,to build the application strategy of the idea of transformation.We propose improvement strategies for the problems and reasons of applying the idea of transformation in the teaching of "graph and geometry" in the middle and upper grades of elementary school mathematics: carry out special seminars to accurately grasp the essence of the idea of transformation;study the teaching materials in depth to fully explore the application of the idea of transformation;optimize the teaching objectives to penetrate the idea of transformation in the whole process;multi-link The students’ ability of transforming ideas can be cultivated organically through integration;diversified teaching methods can make students understand transforming ideas;reflection and evaluation can be insisted on to improve the effectiveness of applying transforming ideas. |
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