Mathematical Teaching And Learning Exchanges

After introducing the internal and external literature on Mathematical Communication, we give the definition of Mathematical Communication in this thesis, discuss the type and value of it, and men we analyze how to practise Mathematical Communication.Through surveying Mathematical Communication in the middle school, we have found some basic characteristics of the favorable Mathematical Communication. According to the conditions of the current education, we have carried out an experiment of the mathematical communication.Firstly, teachers and students should be interacted in mathematical learning and teaching, which leads to an active and premeditated mathematical communication. This includes six activities: 1) Developing the mathematical communication among teachers, and teachers should study the knowledge as students do; 2) Enhancing students' training on the mathematical language; 3) Strengthening the mathematical expression; 4) Strengthening the ability of doubting something, and posing significative problems; 5) Transposing the stations of the teacher and student, looking for leak in students' thinking, and constructing the favorable mathematical cognitive structure; 6) Carrying out reasonable discussions, and improving efficiency of Mathematical Communication.Secondly, students should cooperate and help each other to improve the ability of Mathematical Communication with others. This includes four activities: 1) Setting up mathematical learning groups with a reasonable arrangement; 2) Taking an active part in the activities of groups, and strengthening Mathematical Communication of students belonging to different learning levels; 3) Widening scope of students' communication, improving the efficiency of the communication; 4) Teachers instruct students suitably, and evaluate them correctly.Finally, students should strengthen their mathematical communication in applying mathematics and exploring mathematical problems.With the endeavor of teachers and students', we have achieved a lot on Mathematical Communication. We hope we will do better on the mathematical communication research.At last we bring out some expectations of the mathematical communication.