The Creative Thinking And Its Teaching Process In Mathematics Of Junior Middle School

Mathematics is the gymnastics of exercise thinking. In mathematics education, it is the embodiment of quality education to cultivate the ability of thinking in math.Around the theme of mathematical thinking, mathematics educators, first line mathematics teachers and some graduate students have carried on system elaboration,also has obtained substantive achievements. Existing researches mainly studied from theoretical level of mathematical thinking, or the training of mathematical thinking quality, and mostly on high school and university level, few researches have been done to the junior middle school stage, less focused on the teaching process about how to carry on the teaching process, which directly restricts the development of junior middle school teachers of mathematics thinking teaching.Firstly, from the connotation and classification of mathematical thinking, the author condenses out some common and creative thinking in mathematics of junior middle school, including inductive thinking, analogical thinking, reverse thinking and divergent thinking, combined with teaching rules, put forward the following teaching principles: the subjectivity principle, process principle, multiple representation principle and heuristic principle. Secondly, combined with junior middle school mathematics teaching materials, to explore the way of thinking cultivation, the author considers inductive thinking can be cultivated from concept formation, propositional learning and problem-solving teaching. Analogical thinking can be cultivated in the analogy between concepts, rules, formulas and methods. Reverse thinking can be cultivated through the reverse of concepts, formulas, rules, theorems as well as reverse analysis of the problem. Divergent thinking is mainly cultivated in the concept of variable teaching and the solution of the problem. Then, on the basis of following teaching principles, the author explores how to deal with the appropriate teaching process from the following aspects of inductive thinking, analogical thinking, reversethinking and divergent thinking. At last, using the a quadratic equation as the carrier,this paper analyses the cultivation process of mathematical thinking, conducted the case exploitation of teaching process.In this paper, the author researches how to deal with teaching process from the four aspects of thinking, easier to grasp, and more operational, research results can provide useful reference for first line teachers, and have some positive meaning to change the current situation of classroom.