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数学探究能力是在具有一定的数学基础与技能的前提下,通过自己在发现问题、解决问题的过程中发展起来的一种独立获取数学知识、技能、独立思考解决问题的能力。学生自己发现问题,自己解决问题。由于教学任务紧,教学内容多,教师往往把例题草率处理,这样做使得学生偏重记忆一些方法和发展一些具体技能,而不是高层次的数学思考。《数学课程标准(实验稿)》指出:“有效的数学学习活动不能单纯地依赖模仿与记忆,动手实践、自主探索与合作交流是学生学习数学的重要方式。”倡导让学生经历探究的过程,引导学生经历知识的获取过程,是当前数学教学改革的方向。
Mathematical inquiry ability is a kind of independent acquisition of mathematical knowledge and skills developed through the process of discovering and solving problems on the premise of having a certain mathematical foundation and skills, and independently thinking and solving the problems. Students find problems themselves and solve problems by themselves. Due to the tight teaching tasks and teaching content, teachers often hassy handling the examples so that they place emphasis on memorizing methods and developing specific skills rather than high-level mathematical thinking. Mathematical Curriculum Standard (experimental draft) states: “Effective mathematics learning activities can not rely solely on imitation and memory, hands-on practice, independent exploration and cooperation and exchange is an important way for students to learn mathematics.” "Advocating students to explore Process, guide students to experience the acquisition process of knowledge, is the current direction of mathematical teaching reform.