论文部分内容阅读
推理与证明是高中数学课程标准中的新增教学内容,是对中学数学中推理和证明的一次科学的概括和总结,推理与证明是数学的基本思维过程,是数学标志性的思维方式.其中合情推理(归纳与类比推理)是具有创造性的推理方法,因而可有效地增强学生的创新意识,提高他们的创新能力.但在教“类比推理”一课时,总觉得课本(如苏教版新课程实验教材、人教版A版新教材选修1-2或2-2等)上的例子较少,大多为传统的等差与等比数列的类比、平面几何与立体几何的类
Reasoning and Proof are the new teaching content in high school mathematics curriculum standard. They are a scientific summarization and conclusion of reasoning and proving in middle school mathematics. Reasoning and proving are the basic thinking process of mathematics and the mathematical symbolic way of thinking. Reasonable reasoning (inductive and analogical reasoning) is a creative reasoning method, which can effectively enhance students’ awareness of innovation and enhance their ability to innovate.But in teaching “analogical reasoning” a class, always feel that textbooks (such as the Soviet Union There are few examples on the experimental teaching materials of the new version of the PEP, PEP A version of the new textbook 1-2 or 2-2, etc. Most of them are the traditional analogy of geometric difference and geometric series,