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一、背景分析培养学生应用数学的意识和解决问题的能力是数学课程的重要目标。主要表现在:面对实际问题,能主动尝试着从数学的角度运用所学知识和方法寻求解决问题的策略;能通过观察、实验、归纳、类比等获得数学猜想;能清晰、有条理地表达自己的思考过程,做到言之有理、落笔有据。“解决问题”的教学内容贯穿整个数学课程,除了例题还大量存在于练习题中。我们在教学这一内容时往往忽略了练习题,教学思路也大同小异,基本是通过“分析信息——解答问题”这一模式来进行教学。但是,解决问题活动的价值不只是获得具体问题的解决,更重要的是学生在解决问题的过程中获得的思维和能力的发展。
First, the background analysis Students to develop awareness of mathematical problems and the ability to solve problems is an important goal of mathematics courses. Mainly in: In the face of practical problems, can take the initiative to try from the mathematical point of view of the use of knowledge and methods to find a solution to the problem of strategy; Through observation, experiment, induction, analogy to get mathematical conjecture; Can clearly and orderly expression Their own thinking process, be justified, take reasonable action. “Problem solving ” teaching content throughout the mathematics course, in addition to a large number of examples also exist in practice questions. We often ignore the exercises in teaching this content, teaching ideas are similar, the basic is through “analysis of information - answer questions ” this model for teaching. However, the value of solving problem activities is not only the solution to specific problems, but more importantly, the development of students’ thinking and abilities gained in solving problems.