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“推理与证明”是数学的基本思维过程,也是人们学习和生活中经常使用的思维方式.人教版《普通高中数学课程标准(实验)》选修2-2中讲到,推理的模式分为合情推理和演绎推理两大类.与后者相比,前者主要考察学生的非逻辑思维,即对反应客观事实的理性认识,不以固定的逻辑程序进行,不受固定的逻辑规律约束,需要对思考对象的属性与关系作出判定的思维方式,主要表现在直觉思维和灵感上,当然它的这种灵动性是难以捉摸的.笔者通过对于新教材的学习,结合在新
“Reasoning and Proof ” is the basic thinking process of mathematics, but also the way of thinking often used in people’s learning and life.Physical Education Edition “ordinary high school mathematics curriculum standard (experiment)” elective 2-2 mentioned, inference mode Divided into two kinds of sensible reasoning and deductive reasoning.Compared with the latter, the former mainly examines students’ non-logical thinking, that is, the rational understanding of the objective facts of reaction, not by a fixed logical procedure, not by a fixed logic law Constraints, the need to think about the properties of objects and relationships to determine the way of thinking, mainly in the intuitive thinking and inspiration, of course, its flexibility is elusive.This author through the new teaching materials, combined with the new