| Cooperation learning is one of the most popular research areas in contemporary education research. It is also an important learning method which was advocated in the curriculum reform of China. It lets us be full of hope and expectation because it brings new vibrancy to the realm of contemporary education .We each math educator would do what little we can to make it play greater role in teaching practice.From comprehensive analysis the intenational expert's standpoint in cooperation learning .In this paper, summed up the basic meaning of cooperative learning, cooperative learning on the basis of the theory of cognitive and non-cognitive from the perspective of a classified And focused on two types of theoretical basis of the number of representative views, which reviewed the 1990, the cooperative learning research in the cognitive process, cognitive style research team members for the task group to study aspects of the characteristics of The new breakthroughs, the world's research on cooperative learning is to place to develop in depth. At the same time, this paper, field-dependence - field independence cognitive style as a basic overview of the content and try to make a focus on individual differences in cognitive style as a field sub-group analysis based on reasonable.An Empirical Study of this article chose an ordinary four-year senior high school students as subjects, the first embedded graphics in accordance with the test results of all screening test, and thus has been designated test group were composed of field-dependence homogeneous groups, heterogeneous groups and market three types of independent homogeneous group, each group of 3 people or 4 people, and then after a design suitable for different types of tasks, organize and implement cooperative learning classroom, and the timely collection of useful information and data series of steps to complete the experiment. Individual and group, respectively, from the perspective of an analysis of the two cooperative learning in their performance and the differences in the performance. Any attempt to look at two types of students in mathematical problem-solving behavior on the differences between groups of similar students in homogeneous and heterogeneous groups affected, as well as the existence of different types of group differences in different mathematical problem-solving differences. The results showed that the basic questions for a comprehensive title and open questions in three different collaborative learning tasks, a small level, field-dependence and field independence of individual differences in the performance of individuals is not uniform, different types of group influence on individual differences in open question and needs of higher mathematical problem-solving strategies to solve the problem, the heterogeneous group of individuals on the impact of field-dependence is more prominent. Large level, the different types of group co-operation of different learning tasks, heterogeneous group of questions in an open problem-solving on a higher level of performance, in the face of the need for mathematical problem-solving strategies more comprehensive problems, field-dependence with quality group is more prone to a sense of collective incompetence.According to the results of empirical research, this article gives teaching suggestions on the use of cooperative learning: to teachers,the majority of teachers should value analyzing and using the individual differences of students from the dimension of cognitive style, adopt different grouping strategies according to different learning tasks. to teacher training, the article suggested that they are important tasks in today's effective implementation of cooperative learning to help improve teachers' understanding of the concept of cooperative learning, and their ability of imparting cooperation skills to students. Then it also pointed out that the influence -which the disparities among groups impact on different individuals—must be important factor for them to consider, When teachers arrange for students cooperative learing. and so I proposed the direction of the further research on the structural fabric of field cognition style. |