基于范希尔几何水平理论的“祖暅原理与几何体的体积”教学设计  

A Teaching Design of“Zu Geng Principle and the Volume of Geometry”Based on Van Hiele's Geometric Level Theory

作　　者：曾婷 汪锦涛 何春玲 Ting Zeng;Jintao Wang;Chuning He(School of Mathematics and Statistics,Huanggang Normal University,Huanggang,Hubei,438000,China)

机构地区：[1]黄冈师范学院数学与统计学院,湖北黄冈438000

出　　处：《教育研究前沿（中英文版）》2024年第3期44-49,共6页Education Research Frontier

摘　　要：“祖暅原理几何体的体积”既是对前面教材内容知识理解的深入,也是对学生理性精神、探索能力的推进,体现了新课标对数学教学提出的新要求。针对学生学习这一内容时存在的理解不深、掌握不牢、应用不广的问题,借助范希尔几何水平理论,设计了探究祖暅原理的五个阶段:学前咨询、引导定向、阐明、自由定向、整合,以期为提升教师的教学能力和学生的有效学习提供助力。“The volume of the geometric body of Zu Geng Principle”is not only an in-depth understanding of the content of the previous teaching materials,but also a promotion of students'rational spirit and exploration ability,which reflects the new requirements of the new curriculum standard for mathematics teaching.In view of the problems of students'lack of deep understanding,grasp and application in learning this content,with the help of Van Hiele's geometric level theory,this paper designs five stages to explore the Zu Geng principle:pre-school consultation,guidance orientation,clarification,free orientation and integration,in order to provide help for improving teachers'teaching ability and students'effective learning.

关 键 词：范希尔几何水平理论 祖暅原理 立体几何 教学设计 

分 类 号：G63[文化科学—教育学]