Research On The Application Of Transformational Thinking In The Teaching Of "solving Simple Equations" In Elementary School Mathematics

Mathematical thought is the essential result of mathematical science reflected in human consciousness through thinking activities,which has the foundation,summary and the most widely used part,which is called the basic mathematical thought.Transformation thought is widely used in mathematics teaching and is one of the basic mathematics ideas in primary school.Through combing the relevant literature,it is found that the research on transformation thought in primary school mathematics teaching is not systematic,and the research on the practical application of transformation thought is even less.The application of transformation thought is the key to the teaching of solving equations in primary school mathematics,but in fact,there are not only few researches in this field,but also many problems to be solved in the application of transformation thought in the teaching of "solve simple equations".Therefore,it is of great theoretical and practical significance to carry out research on the application of transformation thought in the teaching of "solve simple equations".This research takes the application of transformation thought in the teaching of "solve simple equations" in primary school mathematics as the research object.The content of the research mainly includes the analysis of transformation thought involved in the part of "solve simple equations" in primary school mathematics textbook and the application of transformation thought in the practical teaching of "solve simple equations".Starting with the concepts of mathematics thought,transformation thought,equation and solve simple equation,this paper analyzes the theoretical basis of applying transformation thought and points out the significance of application of transformation thought in the teaching of "solve simple equations".On this basis,by analyzing the content of "Solving Simple Equations" in the first volume of the fifth grade primary school mathematics textbook of PEP edition,this paper sorts out the relevant knowledge points related to the application of transformation thought.In the course of research,the application of transformation thought in "solve simple equations" teaching is investigated by using questionnaire,interview,observation and content analysis method.After investigation,the following problems are found: the uneven proportion of various types of equations in textbooks affects the application of transformation thought,and the difficulty of examples and exercises involving transformation thought is not enough;Teachers pay little attention to mathematical ideas in teaching,do not fully apply transformation thought in "solve simple equations",do not have a comprehensive understanding of students' application of transformation thought,and deliberately avoid the teaching of difficult contents of transformation in class.Students have difficulties in the application of language transformation in solving equations,and some students are not standardized in solving problems.Through the analysis of the existing problems,we find that the reasons behind the problems are as follows:the textbook writers do not pay enough attention to the application of transformation thought,and do not emphasize the importance of applying transformation thought to influence thinking;Some teachers need to improve their sense of teaching responsibility and professional knowledge,and emphasize too much on exam-oriented education.The students' mathematics learning quality difference is big,lack of patience,confidence and aesthetics in solving problems.Based on the analysis of the problems existing in the application of the transformation thought in the teaching of "solve simple equations" in primary school mathematics and the reasons,this study mainly puts forward the corresponding countermeasures of the application of the transformation thought in the teaching of "solve simple equations" from the three aspects of textbooks,teachers and students,and designs the relevant case analysis.It is hoped to provide some inspiration and guidance for elementary school math textbook writers and teachers to "solve simple equations" teaching,and also provide some reference for researchers in this field.