A Typical Case Study On Inductive Thinking Ability Training In High School Classroom Teaching

With the development of the curriculum reform, the inductive thinking ability training is becoming one of the focused problems in high school. However, there are few domestic research's about how to develop the high school students' inductive thinking abilities trough classroom teaching.The paper takes the students and the mathematic teachers of the attached middle school of the DB normal university as the research subjects and makes a research on the presentation of induction and reasoning in the whole school. By using the methods of textual analysis, questionnaire and classroom observation as the major methods, the research intends to make a case study on the classroom teaching of the teachers and summarize the current situation and limitation of the classroom teaching of induction and reasoning, and give some suggestions on the basis of the research.The research shows that:First, With inductive way the high school mathematics classroom teaching, teaching and formulas need to consider the concept of law teaching, problem solving specific practical, but has some common rules.Use inductive method of class teaching, general concept is on the analysis of several special cases, which based on the attributes of, generalizes the definition of the concept.Use inductive method for formula, law class teaching, is generally will abstract formula specialization, concludes the general form of formula, law, and promotion. Use inductive method for problem solving class teaching, general is given to solve problems in the actual background, based on the analysis of concrete data, try to use proper mathematical model to solve the problem.In conclusion, we believe, in the high school mathematics classroom training the students the ideal state of inductive thought is: get basic knowledge, basic skill teaching process, lets the student experience induction, suppose many times thought process, get "case 1, case 2,..., case n > concludes a common laws, find - guess - verify his guess - to obtain general conclusion" direct experience and experience, lets the student experience a "mathematician type" thinking process, and the process of feeling wisdom, experience the innovation produced the happiness.Second, the current high school math inductive thought training of classroom teaching, need to be improved urgently effects, insufficient. One of the reasons is multifaceted.The reasons are various. The Curriculum Standards, the writing of the course books, the teachers'inducing quality and their abilities of managing the class and their teaching beliefs, all these factors restrict the effect on the training of the high school students'inducing ideas in mathematic courses.In order to promote the current situation on the training of students'inducing abilities in mathematic class, we can give the following three suggestions:First, the Curriculum Standards needs to be modified. Reasoning and inducing should not only be the means to get knowledge, but should be also be shown as the concrete objectives and permeate to the knowledge points of each chapter.Second, we should value the training of learners'inducing ideas and help them get the inducing experience in the classroom activities. The experience is as important as the knowledge, which should obtain the same status as the"double base".Third, teachers'inducing and reasoning abilities should be improved, and their professional qualities should also be advanced.The paper can give some suggestion to the modification of the Curriculum Standards and the teachers'teaching on reasoning and induction.