Based on the study of "Middle School Mathematics Syllabus", the literature study of mathematical thinking methods, and the summary of my own educational practice, this paper sums up several commonly used mathematical thinking methods in middle school mathematics teaching, lists relevant teaching cases, and describes their teaching functions in detail.

Abstract: Based on the study of mathematics syllabus and literature on mathematical thinking methods, and the summary of my own teaching experience, this paper points out several commonly used mathematical thinking methods, lists relevant teaching cases, and describes in detail their influence on teaching.

Key words: thought of function and equation, thought of combining numbers and shapes, thought of classified discussion, thought of transformation, mathematical induction, method of undetermined coefficient, method of substitution, reduction to absurdity, collocation method, coordinate method, analysis method, synthesis method).

Key words: function and equation, combination of numbers and shapes, classified discussion, transformation, mathematical induction, undetermined coefficient method, method of substitution, reduction to absurdity, distribution method, coordinate method, analysis method and synthesis.