函数列及函数项级数一致收敛概念研究——基于概念转变学习理论

A Study on the Concept of Consistent Convergence of Function Col⁃umns and Function Term Series Based on the Conceptual Change Learning Theory

学生函数列及函数项级数一致收敛概念的前概念主要包括错误概念意向和错误心理表征;根据概念转变学习理论,函数列及函数项级数一致收敛概念的教学采取如下途径:恰当设例,引发学习者认知冲突;分析原因,建构整体一致的心理表征;大胆推测,构建科学概念内涵;回归本源,完善理论架构。

The students’preconcept of Function Sequence’s Consistent Convergence comprises false concept intention and wrong psychological representation.In reference to the conceptual change learn⁃ing theory,for teaching of Function Sequence’s Consistent Convergence,such approaches shall be ad⁃opted:proper exemplification to arouse the learners’cognitive conflict;causal analysis to constitute in⁃tegrative psychological representation;bold speculation to shape scientific conceptual connotation;orig⁃inal reappearance for optimum theoretical framework.