论文部分内容阅读
数学知识应分为结果性知识和过程性知识.过程性知识是伴随数学活动过程的体验性知识.体验分为4个阶段:(1)对知识产生的体验.体会知识产生的缘由,明晰新旧知识之间的关联和因果关系.(2)对知识发展的体验.体悟知识发展的动因,包括数学学科的内部因素和促进知识发展的外部因素,习得探究数学问题的方法(逻辑的和非逻辑的)和策略.(3)对知识结果的体验.领会蕴涵在知识中的数学思想方法,感受数学结构的美.(4)对知识应用的体验.体会数学应用的广泛性,积累解决问题的认知策略和元认知知识,形成自我监控的意识和习惯.由此可见,过程性
Mathematical knowledge should be divided into result knowledge and process knowledge. Process knowledge is the experiential knowledge that accompanies the process of mathematics activities. Experience is divided into four stages: (1) experience of knowledge production, understanding the origin of knowledge, clarifying the old and new (2) The experience of knowledge development. Understanding the motivations of knowledge development, including the internal factors of the mathematics disciplines and the external factors that promote knowledge development, and the ways to explore mathematical problems (logical and non-logical (Logical) and strategy. (3) Experience with knowledge results. Comprehend the mathematical thinking methods contained in knowledge and experience the beauty of mathematical structures. (4) Experience with knowledge applications. Experience the breadth of mathematics applications and accumulate problem solving. Cognitive strategies and metacognitive knowledge form self-monitoring awareness and habits. From this it can be seen that