Research On Mathmatical Thinking Ability Of Freshman In High Sc Hool And Its Infuence Actors Under New Curriculum

As is known to all, the nature of learning mathematics allows the students to explore and think with the mathematical thinking. Since the eighth reform of fundamental curriculums, the engagement of junior and senior high school education has always been the focal point. Then, the question of how is the first grade of senior high school students’ mathematical thinking under the New Curriculum became a topic worth well researching.This research combines relative theories and three representative mathematical thinking methods: the method of selected equations, the method of category discussion, and the method of the combination of figures and charts. Surveying the students with the testing paper, this research tried to figure out the level of the first grade of senior high school students’ comprehension and mastery towards these mathematical thinking methods under the New Curriculum, and then managing the data with Excel. In the later stage, the combination of the interview of two expert-type teachers and the literature review, this research found the factors that can influence the level of the first grade of senior high school students ’ mathematical thinking and provided some suggestions to the teaching and the reform of the curriculums. This research was carried out in two sections and concluded as following. 1. The test results indicated that the method of selected equations was comprehended and mastered very well, and the method of category discussion was acceptably comprehended and mastered, while the mastery of the method of the combination of figures and charts still need to be strengthened. 2. Beside the methods of the combination of figures and charts, students understood the mathematical thinking better than mastered it. There was the situation of unilateral and incomplete comprehension of the nature of mathematical thinking methods, thus students were hardly able to express the connotation and denotation of each methods of mathematical thinking. Moreover, the low level of comprehension limited students’ mastery. 3. Within these three methods, students were good at using the method of category discussion when solving the probability questions but bad at using the method of the combination of figures and charts to solve the problems of mutual aids between figures and charts. 4. There was a weak correlation between the comprehension and the mastery of the mathematical thinking methods. In addition to strengthen the understanding of the essence of the mathematical thinking methods, teachers can train the students to assist them to master the mathematical thinking methods via the thinking habits, the skills of answering questions and so on. 5. The main reasons for students’ inability to adapt to senior high school study were the low requirement of mathematical thinking in compulsory education curriculum standards, the mechanical training in junior high school study, and the unideal study method and the habits. 6. The new lay out of the textbooks after the reform of curriculum has disordered the former knowledge structure and the knowledge system of the mathematical study. Furthermore, the added-in non-practical collateral branch of knowledge has confused students’ track of further study, which led to a disadvantage of depth development and the exhaustion. 7. The junior high school teachers should not confine themselves to senior high school entering examination in daily teaching practice. The junior high school can make students adapt to senior high school study sooner by holding summer camp and developing school-based curriculums. 8. On the matter of another reform of the curriculum, the teachers expect to return to the former version of the textbooks, delete the collateral branch, set proper difference levels to the examinations with reality, and differentiate students in advance.