| Exploration is an important way that the schedule reforming advocates, as well as the core idea of the standard maths lessons. But since the reforming, there still exist some ambiguous understandings about how to explore in maths lessons, whether the ways of explorations can bring the students any knowledge. In the point view of some researchers and teachers, the students are born with curiosity, full of the ambition of obtaining knowledge, as a result, everything is up to the students without any limitations, which leads the study to being aimless. Some teachers even think that it is no use exploring as the students have known the conclusions, so they prefer to enter the stage of doing exercises, which results in some students’ remembering the superficial maths formulas without using the theorems and formulas fluently. The reason is that the students don’t fully understand the ways of maths thinking.In view of the above, this dissertation mainly talks about the example of the angle sum of a triangle--------- exploration of the studying approaches. First and foremost, this dissertation starts with the exploration of concepts and the research accomplishments. Then employs the heterogeneous form for the same subject from the People’s Education Press, that is –with different interactions between the teachers the the students, the students can master the background from the knowledge, the understanding of the maths thinking and the differences of emotional levels. At last, do experiments to contrast the differences of different studying methods and give suggestions.Through research, I can draw the conclusions as follows: First of all, on the basis of mastering knowledge, the students from the accepting study group master knowledge better than those from the exploration group. Secondly, on the understanding levels of ideas, the students from the exploration group gets better marks in the exercises than those from the study group. Thirdly, during the communication with the students, the students from the exploration group are always in high spirits, the atmosphere in the study group is relatively low.Through the process of research, the teaching methods should take the following suggestions: the textbooks should be analyzed deeply by the teachers and the teachers should correctly master the teaching carries. Many teaching methods should be combined to maximize the teaching effects. Thirdly, the teachers should pay attention to the students’ flexibility and feeling of maths thinking methods. |