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前文强调了让学生经历完整的“归纳——演绎”过程获得数学研究体验的重要性.下面以函数模型的归纳过程为例,讨论如何使学生在概念学习中抓住概念要点的问题.数学史表明,引入函数概念首先是自然科学对运动学、天文学、力学等的研究需要.在16世纪,实践的需要和各门科学的自身发展使自然科学转向对运动的研究,对各种变化过程和各种变化着的量之间依赖关系的研究,由此导致了数学发展的新阶段——作为
The preceding article emphasizes the importance of getting students through a complete “inductive-deductive” process of acquiring mathematical research experience.With the induction process of the functional model as an example, we discuss how to make students grasp the key points of concept learning. The history of mathematics shows that the introduction of the concept of function is first of all the research needs of the natural sciences in the fields of kinematics, astronomy, mechanics, etc. In the 16th century, the needs of practice and self-development of various sciences turned natural sciences toward the study of movements, The study of the dependencies between processes and quantities of change leads to a new phase of mathematical development - as