| Middle school education at present regards quality education as its core. It also regards creativeness education as its guide, attaching importance to developing students' character and training students' creative thoughts. Only to develop the students' special aptitude and potency and to let them have their own ways of developing which appropriate their personal special aptitude can the education fits the 21st centry's high quality and standard, which also can improve the whole quality of the Chinese people. So studying the special aptitude of thoughts during the progress of mathematical studying among top students of senior high school is very important and necessary.The research regards top students of senior high school as objects of studying and makes the mast use of mathematical activities to do the factual evidence research by using qualitative research method. The research is ausied at summarizing and refining the special aptitude of thinking during the progress of mathematical studying among top students of senior high school by describing and explaining the experimental materials that have been collected .The research is devided into four parts. In the first part, the students were examined about their interests in studying mathematics and their attitude towards mathematics . At the same time, the author analyzed different types of students according tothe questionnaires. The second part is to organize lots of tests after studying senior high school mathematical main points and special aptitude of thinking . The third part is to make an extensive and deep-going study among the research objects. The fourth is to summarize (describe and explain the research objects).In the end, summarize and refine the top students' mathematical thoughts and draw a conclusion.Main items included :(1) Top students' main characteristics of thoughts are logic and orderliness of thoughts.(2) Top students' main external displaying characteristics of is swiftness of thoughts.(3) Top students' main internal characteristics of mathematical thoughts is profoundness of thoughts.(4) Top students' highest displaying form of is intuition of thoughts.(5) Top students' essential characteristics of mathematical thoughts is creativeness of thoughts.What's more, there are also some shortcomings of the research and direction for further research. |