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新课程改革下对新教材的使用提出了更高的要求,从一题多解、多解归一、多题一解三个方面,结合新人教版相关例题和中考试题的案例,通过多种解题方法的比较,在寻找最优化解题的过程中培养学生的发散思维能力,使他们体会到学习的乐趣;引导学生发现数学问题,扩展学生原有的认知结构,使学生在多种解法中得到最一般的规律,在自主探索、思考和解决问题的过程中感受成功的喜悦;引导学生从几道典型范例出发,将知识点进行横向、纵向延伸,把同类型或解法相同的题目归纳在一起,使学生能够站在系统的高度看问题,从而形成强大的自学能力。
New Curriculum Reform put forward higher requirements for the use of new teaching materials. From one case with multiple solutions, multiple solutions and one case with multiple solutions, In the process of finding the optimal solution, students are encouraged to develop their divergent thinking skills so as to make them feel the joy of learning; to guide students to discover math problems, expand students’ original cognitive structure, The most common law in solution is to feel the joy of success in the course of exploring, thinking and resolving problems independently. The students are guided from several typical examples to extend the knowledge horizontally and longitudinally. The same type or solution is the same The topics are summed up so that students can stand on top of the system to see problems so as to form a strong self-learning ability.