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基於APOS理論和RMI原則的二次函數圖像平移教學實驗研究
江春蓮1; 胡玲2
2020-05
Source Publication数学教育学报
ISSN1004-9894
Volume29Issue:6Pages:32-39
Abstract

函数图象变换是中学数学中的重点和难点,尝试运用动态几何软件呈现二次函数图象平移过程中点的共同运动特点以促进学生的理解. 采用准实验设计,实验包括 6 节课, 4 节用于教学实验, 2 节用于前测和后测. 实验组( n=23)的教学是基于 APOS 理论以及 RMI 原则设计的,并在 DGS 的支持下进行;而对照组( n=22)则运用传统的教学, 也无 DGS 的支持. 结果表明:实验组的学生在点的平移、二次函数图象的平移以及复合函数和圆的平移等拓展领域均好于对照组. 该实验设计可以扩展到三角函数图象变换教学.

KeywordApos理论 关系—映射—反演原则( Rmi原则) 函数 图象平移 多重表征
URLView the original
Indexed ByCSSCI
Language中文Chinese
Funding ProjectPremises and Challenges of High-Stakes Examinations: Use National Higher Education Entrance Examination Mathematics Test Scores in China as an Example ; 高风险考试的现状和面临的挑战:以中国高考数学试卷分析为例
Document TypeJournal article
CollectionFaculty of Education
Affiliation1.澳门大学教育学院
2.北京字节跳动有限公司上海分公司
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
江春蓮,胡玲. 基於APOS理論和RMI原則的二次函數圖像平移教學實驗研究[J]. 数学教育学报, 2020, 29(6), 32-39.
APA 江春蓮., & 胡玲 (2020). 基於APOS理論和RMI原則的二次函數圖像平移教學實驗研究. 数学教育学报, 29(6), 32-39.
MLA 江春蓮,et al."基於APOS理論和RMI原則的二次函數圖像平移教學實驗研究".数学教育学报 29.6(2020):32-39.
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