论文部分内容阅读
推理论证能力是数学学科最核心能力之一,是运用数学知识、思想、方法分析问题解决问题的关键能力.推理论证是根据已知事实和已经获取的正确数学命题,论证某一数学命题真实性的初步推理能力.推理包括合情推理和演绎推理,论证方法包括按照形式划分的演绎法和归纳法,也包括按照思考方法划分的直接证法和间接证法~([1]).一般是运用合情推理进行猜想,再运用演绎推理进行证明.推理论证应用于生活和数学问题,近几年用数学推理分析解决生活中实际问
The ability of reasoning and argumentation is one of the core competences in mathematics and is the key ability to analyze problems and solve problems using mathematical knowledge, ideas and methods.The reasoning and argumentation is based on the known facts and the correct mathematical propositions that have been obtained to demonstrate the authenticity of a mathematical proposition Of reasoning, including rational reasoning and deductive reasoning, argumentation methods include the deduction and induction according to the form of division, as well as by the method of thinking of the distinction between the direct and indirect syndromes (1) Use the reasoning reasoning to guess, and then use the deductive reasoning to prove.The reasoning argumentation used in life and math problems, in recent years, the use of mathematical reasoning to solve practical problems in life