Penetration of Mathematics Teaching and Thinking in Junior High School

Mathematical thinking is the essence of the mathematics in the phase of middle school, in which penetration mathematical thinking method contributes to the teaching efficiency in practice. This paper has listed some thinking methods, such as, penetration symbolic method that improves students’ adaptive ability on the transformation from arithmetic to algebra; penetration normalization method that contributes to the problem-solving ability; penetration of the combination of characters and graphics method that improves the competence both on the transformation between characters and graphics, and knowledge migration; penetration inductive method that strengthens their innovation both on thought and practical ability; penetration equation and function that is responsible for the cultivation of their modeling ability; and penetration classified discussion method that is conductive to the competence on observation all-round and handling problem flexibly. It is of much significance to propel the application of mathematical thinking in teaching practice for the goal of improved teaching quality and the cultivation of highly competent talent.