Mathematical thought is the essential understanding of mathematical knowledge,the core content of mathematical teaching,and the important carrier of developing students’ core literacy.The thought of classified discussion is one of the most common mathematical thoughts in junior high school mathematics teaching.It can cultivate the students’ orderliness and generality of thinking and contribute to the formation and development of mathematical logical reasoning literacy.With the advancement of educational reform,mathematics thought has been paid more and more attention by educators.However,the junior high school students’ mastery of classified discussion is not ideal,and there are still many problems when using classified discussion to solve problems.Based on the importance of the thought of classified discussion,this research deeply explores junior high school students’ mastery of the thought of classified discussion,as well as the specific problems in the application of the thought of classified discussion in problem solving,and finds the causes of the problems from the two aspects of students’ "learning" and teachers’ "teaching",trying to explore a series of targeted training strategies.Through the test survey,it is found that the junior high school students’ mastery of classified discussion is not optimistic,the overall level is low,and students of different grades have different mastery of various dimensions.The students in grade one of junior high school are mainly lack of classification consciousness;The classification consciousness of the students in the second grade of the junior middle school still needs to be strengthened.In addition,there are big problems in the classification standard,the organization and the comprehensiveness of the classification;The students in the third grade of junior middle school have relatively good classification consciousness,but there are still big problems in the organization and comprehensiveness of classification.By analyzing the answers to the test paper,students’ problems can be summarized into three aspects: consciousness problems,skills problems and standardization problems.By sorting out the interview results of students and teachers,the causes of these problems can be summarized as students’ learning attitude,students’ knowledge and skills,and teachers’ teaching factors.According to the survey conclusion,combined with the development law of junior high school mathematics knowledge and students’ psychology and thinking level,this study proposes the overall layout plan for the cultivation of junior high school students’ classified discussion thought,and divides the cultivation of junior high school students’ classified discussion thought into three stages,namely,the first stage gradually forms the classified discussion thought,the second stage continuously strengthens the classified discussion thought,and the third stage skillfully uses the classified discussion thought.Combined with the training contents and requirements of different levels in each stage,specific and targeted training strategies and suggestions are proposed for each stage,providing some new ideas for the teaching of classified discussion ideas of junior high school students. |