Based On The Thought Of Counseling Students And Teachers Exchanges In Mathematics Research

Summary: This writing is accomplished with many research methods such as reading relative works and history, having lessons, distributing questionnaires; analyzing speeches and so on .It has a study of the communion viewpoint between teachers and students (T-S) either from China or other countries. Then, I find that: leaders, social stability and opening of social viewpoints respectively influence the content, the development and the varieties of communion between T-S.Besides those, the right to the major part of communion has a close relation to social surroundings, and the goal of communion between T-S diversifies, it is also said that it is not single any more .In the meantime, I especially look into the mathematic communion between T-S today .Basing on these investing, I try to apply psychology to the mathematic communion. It is very important that it satisfies the demands of "interaction and common development" and "to an achievement of healthily developing body and mind, which posed by "The criterion of Mathematics Curriculum", provides a solution to the problems existing in the communion today .It is useful to create surroundings in which teachers express their understanding and students feel being understood; to perfect the viewpoint about teaching for mathematic teachers. During the communion, it is beneficial to the students' full development. On the basis of psychological inquiry, there are some characteristics in the mathematic communion between T-S. Mathematic communion is carried on in accordance with the scale of communion object, different kinds of communion ways, the degree of control and the content of communion. It is still related to set up relaxed communion circumstance, accelerate the comprehension of mathematics, develop the ability of mathematicalizement, and improve the efficiency of the mathematic studying, stimulate students to rethink. Furthermore, there are also some features among them. Mathematic communion should take student as a potentiality and pay attention to them appropriately, actively and unconditionally, put intercommunion into use, provide some relationship, create fine psychology circumstances and accelerate individual development, involve teachers' understanding, apply more phenomenological exploration to the communion methods .Finally, there are skills too. Teachers tone and mood should keep neutral, and T-S begins communicating in a wide-ranging area. The communion ways can lead the students to believe their latent capacity .And teachers should quote encouragement and proper repetitions, many illustrations and explanatory sentences, logical inference, observation and application of non-language conduct .In the meanwhile, problems are still existent, I make a little foundation and solution to them .They may be the phenomenon of "impedance", the situation of blunder, and indefinite incidents.