《普通高中数学课程标准》明确提出要培养学生思维能力。学生在运用数学知识解决实际问题时,经历着由感性认识到理性认识、从归纳类比到抽象概括的思维过程。这些思维过程就是数学思维能力的具体表现,有助于学生对实际生活中蕴涵的数学模型进行思考并作出判断。 “Ordinary high school mathematics curriculum standards” clearly put forward to develop students’ thinking ability. When students use mathematical knowledge to solve practical problems, students go through the process of thinking from perceptual understanding to rational understanding, from inductive analogy to abstract summarization. These thinking processes are the concrete manifestation of mathematical thinking ability, which helps students to think and make judgments about the mathematical models implied in real life.