| In the new curriculum standard of the ordinary high school, There are many specific requirements for the mathematical abilities. In order to help teachers being better understanding the new curriculum ideas and to improve the efficiency of manage in the mathematical classes, this paper analize the classification problem of mathematics abilits from the effectively improving the mathematics abilits. There are some references for the teaching management strategy of the Re-classification of the mathematical ability It will help us to correctly understanding of the objectives of the quality of human culture identifiedIt will lead the teaching management in high school to be more close to life, more personalization and more healthy. All of the key word come from the new curriculum standad of high school. based on the statements of the math abilities and thier requirements, we make the classification and give the accurate definitions of these mathematics abilities.The mathematics thinking in the classroom is one of the most active factor, but teaching management will be change due to the active and thinking of students. Therefore, this study raised the point of classification according to their logical thinking ability.Mathematics thinking will be divided into three parts: completely logical thinking ability, half logical thinking ability and no logical thinking ability. The study Puts forward the effective teaching management strategyes and methods for each mathematical ability. The actual teaching cases show that the effectiveness of management strategies.The main method we used is literature analysis. To a certain historical background and context of development on the basis of statistical analysis, research and analysis of each specific capacity requirements and reflects the degree of mutual relations as well. in the study of teaching management strategies,we used the method of comparative analysis. By the current teaching model comparison and analysis, summarized the different teaching management Strategy for the different mathematical abilities. And through my own practical teaching, the effectiveness of management strategies are proved. |