The "Exploration-recreation" Teaching Research And Practice For Mathematics Of Senior Middle Schools

In recent years, many teachers in the forefront of mathematics teaching have already launched some specific researches on the exploration teaching and recreation teaching respectively, whereas most of these researches are limited to case study without a lasting macro-direction, especially the implementation strategy in teaching practice and operation pattern that can be tested still need to be further improved. Therefore, it is absolutely necessary to establish an "exploration-recreation" teaching model which integrates the two teaching models and operates conveniently, in order to meet the demands of the new mathematics curriculum of senior middle schools and the teaching reform. There are mainly six theoretical aspects for the establishment. The implementation of the model should follow four principles, which are the question-raising principle of acquiring new knowledge, the situational principle of creating questions, the subject principle of focusing on democratic exchange, the opening principle of sticking to discovery processes, and should reflect the background, the process, the originality, and the application of teaching contents. The classroom teaching may adopt five strategies, which are the exploration of mathematical knowledge, the cultivation of emotional quotient, the demonstration of a conjecture, the conducting of cooperative exchange, and the employment of mathematical methods. The designing of a teaching case has five basic procedures: 1. pose a creative problem; 2. inspire new thoughts; 3. solve the problem; 4. create a similar one; 5. summarize and develop. The evaluating system of the model includes four layers: timely feedback, process evaluation, period evaluation and effect evaluation. The evaluating pattern is divided into five grades with a combination of quantitative and qualitative analysis. The experiment of implementing this new model has three phases. By using the teaching-case method, the first one is concerned with preliminary training for freshmen, while the second one is procedural training for sophomores. The third phase is for...