Mathematical thought is the guiding ideology and general generalization of mathematical activities. It guides students to effectively understand the essence of mathematics from a higher level of whole and thinking, use mathematical knowledge to discover and improve the structure of mathematical knowledge, and explore the direction and way to solve problems. Through generalization and comparison, it becomes mathematical ability, and through the application of mathematical thought, it cultivates students' preliminary scientific methodology, improves their thinking quality and enhances their thinking ability. The teaching of mathematical thought further modernized the mathematics teaching in middle schools. In junior high school classroom teaching, mathematical thought is still in the stage of suggestion and infiltration. It is necessary to clearly highlight its important role in the review guidance of graduating classes, so that students can clearly understand that mathematics learning activities under the guidance of mathematics ideas are scientific mathematics learning activities. Talents have strong initiative and creativity. First, the idea of transformation and transformation is 1. The thinking method of transformation is the most basic thinking method in mathematics The solution of all problems in mathematics (including solving problems, of course) is inseparable from transformation and transformation, and the idea of combining numbers with shapes embodies the mutual transformation between numbers and shapes; The idea of function and equation embodies the mutual transformation between function, equation and inequality. The idea of classified discussion embodies the mutual transformation of part and whole, and the above three ways of thinking are the concrete embodiment of the idea of reduction. Various transformation methods, analysis methods, reduction to absurdity, undetermined coefficient methods, construction methods, etc. Are all means of transformation. Therefore, reduction is the soul of mathematical thinking method. 2. Transformation includes equivalent transformation and non-equivalent transformation. The cause and effect of equivalent transformation in the process of transformation is necessary and sufficient. Such transformation can ensure that the result of transformation is still the result needed by the original problem, and the process of unequal transformation is sufficient or necessary. This transformation can enlighten people's thinking and find a breakthrough to solve problems. Unequal deformation requires necessary revision of the conclusion. 3. The transformation principle turns unfamiliar problems into well-known problems that are easy to solve or have been solved, turns abstract problems into concrete and intuitive problems, and turns complex problems into simple problems. Turn practical problems into mathematical problems, so that the problems can be solved easily. 4. The basic types of transformation and reduction (1) are positive and negative transformation, general transformation and special transformation; (2) Conversion between constant and variable; (3) number-shape conversion; (4) the transformation between branches of mathematics; (5) the transformation between equality and inequality; (6) Transformation of practical problems and mathematical models.