摘要
数学是关于量化模式的建构与研究,建立数学理论就是创造模式的过程。数学的学习就是构建模式,用数学知识分析、解决问题就是研究和应用模式,而感知品味数学就是发展与鉴赏模式。教师应当确立模式的观念,以数学模式的观点来指导组织数学教学,通过自己的再创造为学生展现出生动的数学思维活动过程,从而帮助学生逐步培养建构模式、分析模式、发展模式、应用模式与鉴赏模式的能力。以微分中值定理教学为例的数学模式观可见一斑。
Mathematics is the construction and study of the model of quantification. The process of mathematics theory is the process of model creation. Mathematics learning is to build a model of mathematical knowledge. Analyzing and solving problems with mathematics knowledge is to study and apply models. And the perception of mathematics is to develop and appreciate models. Teachers should establish the concept of models,using the mathematical model to guide and organize mathematics teaching. They should show the vivid process of mathematical thinking through their own re - creation, thus to help students gradually improve their abilities of building models, analyzing models, developing models, applying models and appreciating models. The function of mathematics models can be verified by the differential mean value theorem teaching.
出处
《教育与教学研究》
2010年第8期109-111,共3页
Education and Teaching Research
关键词
数学模式
数学模式观
微分中值定理
mathematics model
mathematics model concept
differential mean value theorem
