| As the continuous development of mathematics education reform, it is recognized more and more clearly that the key of actualizing the oriented-education and raising the teaching quality is the teacher, and the central problem is how to improve the effect of students' study practically and feasibly. Modern instruction theories, based on the psychology research of the mathematics study, attach importance both to intelligence development and emotion education, and claim that the innate character of instruction activity is the student's study activity. This activity is a process in which the teacher unfolds the student's cognition, emotion and will. Thus, the class-based teaching system common in china conflicts with the nature of teaching activity. As modern education attaches great importance to the cultivation of student's individuality and personality, how do teachers fulfill teaching tasks effectively and make students participate in the class activities too?People in mathematics education have widely recognized that the process of mathematics study is the process of discovery and communication in which students act as corpus and that one's own comprehension of mathematics forms in the process of discovery while one's own viewpoints are improved gradually in the process of communicating with others. Through communication, the subject has plenty of time and room to accomplish its goal in each link either from perception to cognition, from cognition to comprehension, from comprehension to application, from application to reflection, andconsequently make the assimilation of the old and the new knowledge stable and orderly and give a fundamental guarantee for the building of the new cognition construction. In the process of communication with others, students can be not only an independent learner, but also a partner as well as a cooperator, and gain the experience of mathematics beauty, meanwhile cultivate the students' strong will and cooperative spirit.According to the theories of cognitive science and mathematic study, this paper investigates the sense, conformation organizing form and practice principle of the classroom mathematics communication in mathematics study, and combined with investigations and experiments, studies primarily the mathematics communications in concept study, rule study, the problem resolution and the study of mathematic thoughts and method. At last it presents some effective methods and suggestions about how to actualize mathematics communications in mathematics classroom instruction. |