指向抽象能力培养的“算术平方根”教学案例设计

Teaching Case Design of “Arithmetic Square Root” Oriented to the Cultivation of Abstract Ability

摘要: 数学概念是数学知识体系的基石，也是数学抽象的基础，而数学课堂教学中，数学概念的抽象过程并没有得到足够的重视。基于数学概念的形成过程是最典型的数学抽象过程，概念课是培育数学抽象能力的重要途径，设计一则可模仿、可操作、可迁移的指向抽象能力培养的“算术平方根”教学案例。

Abstract: Mathematical concepts are the cornerstone of the system of mathematical knowledge and the foundation of mathematical abstraction. However, in mathematics classroom teaching, insufficient attention has been paid to the abstraction process of mathematical concept. Because the formation process of mathematical concepts is the most typical process of mathematical abstraction, concept-teaching lessons serve as a vital way to cultivate mathematical abstraction ability. This paper designs an imitable, operable and transferable teaching case of “arithmetic square root” oriented to the cultivation of abstract ability.