The Research Of Theory And Practice On The Open Approach Teaching Of Mathematical In Middle School

As is known to all that the cultivating of the ability of open approach thinking, discovering thinking and creative thinking are the themes of modern educational research, which has a far-reaching strategic significance, In the tide of curriculum reform, varieties of education theories, ideas and modes enhance new vigor of the education reform. The traditional education mode pays too much attention to "taking examination" and "infusing knowledge", which restrain the students' initiative of learning and the development of their creative thinking ability.The open approach teaching of mathematics is a hotspot of modem education research on mathematics. Among those research results at home and abroad, there is no clear definition about the open approach teaching of mathematics, open approach thinking, open approach problem and the opening degree of mathematics propositions, nor is there a systematic exposition about the teaching aims, functions, flows and strategies of the open approach teaching of mathematics. This thesis theoretically expounds the open approach teaching of mathematics from the angles of philosophy, pedagogy, psychology, science of thinking and logics, thus forming the initial theoretical framework. In practice, many educational experiments have been done to study the relationship among the method of improving students' thinking ability by this mode, the opening degree of open approach problems and the students' open approach thinking ability.The ultimate aim of mathematics educational research is to pursue a way in which the best effect of mathematics education can be attained, that is, to gain good educational effects on the humans' development and fully develop humans' creative thinking. That is the very aim of the open approach teaching research of mathematics, which is not a normative pedagogic term yet, but whose main feature is to get the two sides of teaching and learning fully open in content, methods, forms and thought, etc. Studying in this environment with rich connotation and a proper opening degree, the students will get good development in the ability of discovering approach thinking and creative thinking. Therefore, it is a perspective field in educational science research. Construction Education Notion exposes the general rule of humans' thinking, whose core is that any cognition is not the principal part's simple or negative reflection of the object, but a process of active thinking constructing. During the practice of open approach teaching, teachers should inspire students' active thinking, and in a proper opening degree, try hard to inspire students to do some active discovering, some active creating and form a quality of open approach thinking thus the ideas of Construction Education and quality education are carried out. However, the practical research results show that the opening degree is the key in open approach teaching, that is to say, lack of opening degree will hinder the development of students' thinking ability, and vice versa. For human beings, "Inheriting" is the base to advance forward; "creation" is the motive power of society development. "Degree" is a variable forever. Only can we find the connections of the "degree", the maximum is possible to be worked out. Let us become the pursuer of these connections because the open approach teaching of mathematics is definitely not a simple linear relation.