To foster exploration ability through cultural values, we may make some trials, such as introducing man s cognition on mathematics to help student comprehend mathematics; recurring the process of mathematical knowledge by the material of mathematical history; co-discussing mathematical methods in teacher-student by launching monographic study; reappearing cultural factors of advanced mat.

Mathematical Methods for teaching and research.

The idea of conversion,an important mathematical way of thinking winds through a course of analytic geometry.

This paper describes the importance of strengthening the teaching of mathematical way of thinking,analyzes the mathematical way of thinking implied in the concepts of limit,derivative and definite integral and dialectically analyzes the law of the unity of opposites of different variables of the concepts in the change process.

Taking the theory of educational psychology as the guide, this paper proposes the ways of optimizing the students mathematical cognitive structure, that is, the innovation of the traditional method of preparing lessons, the flexible use of teaching strategy and the emphasis on mathematical way of thinking.

There are such kinds of mathematics idea and method as sign and graph, function, inversion; discussion and so on in the mathematics teaching in the middle school.

A study of the Educational Functions of Mathematical Thought and Method in Education Innovation;

Basing on the analysis of the education of mathematical thought and method, and on the study of the present situation, this thesis emphasizes the importance of education of mathematical thought and method in mathematical teaching in primary and secondary schools.

The New Curriculum Reform Standard pointed out that mathematical thought and method teaching must be paid much attention to and modern technology and teaching methods should be properly used to develop the activity of computer assisted instruction.