An Instructional Model for Learning Theorem Proving with Dynamic Geometry Environment

被引:0
|
作者
Wong, Wing-Kwong [1 ]
Chen, Bo-Yu [1 ]
Yin, Sheng-Kai [1 ]
机构
[1] Natl Yunlin Univ Sci & Technol, Inst Informat Engn, Yunlin, Taiwan
来源
TOWARDS SUSTAINABLE AND SCALABLE EDUCATIONAL INNOVATIONS INFORMED BY LEARNING SCIENCES | 2005年 / 133卷
关键词
Dynamic geometry; theorem proving; learning geometry; geometry education;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Many students of geometry theorem proving do not perform satisfactorily when asked to prove simple theorems. Their problems might arise from their poor understanding of the involved geometric concepts, or from their ignorance of intermediate geometric propositions that are needed to derive the final conclusion. To address these issues, we propose an instructional model using a dynamic geometry environment that integrates the elements of exploration and theorem proving.
引用
收藏
页码:934 / 937
页数:4
相关论文
共 50 条
  • [1] A dynamic geometry environment for learning theorem proving
    Wong, WK
    Chan, BY
    Yin, SK
    5th IEEE International Conference on Advanced Learning Technologies, Proceedings, 2005, : 15 - 17
  • [2] Dealing with Degeneracies in Automated Theorem Proving in Geometry
    Kovacs, Zoltan
    Recio, Tomas
    Tabera, Luis F.
    Pilar Velez, M.
    MATHEMATICS, 2021, 9 (16)
  • [3] Computer aided learning of proving in school geometry
    Magajna, Zlatan
    INTERNATIONAL JOURNAL OF CONTINUING ENGINEERING EDUCATION AND LIFE-LONG LEARNING, 2008, 18 (5-6) : 619 - 626
  • [4] Machine Learning for Inductive Theorem Proving
    Jiang, Yaqing
    Papapanagiotou, Petros
    Fleuriot, Jacques
    ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION (AISC 2018), 2018, 11110 : 87 - 103
  • [5] Dynamic geometry environments as a source of rich learning contexts for the complex activity of proving
    Laborde C.
    Educational Studies in Mathematics, 2000, 44 (1-3) : 151 - 161
  • [6] On the Unavoidable Uncertainty of Truth in Dynamic Geometry Proving
    Botana F.
    Recio T.
    Mathematics in Computer Science, 2016, 10 (1) : 5 - 25
  • [7] Formal Dynamic Fault Trees Analysis Using an Integration of Theorem Proving and Model Checking
    Elderhalli, Yassmeen
    Hasan, Osman
    Ahmad, Waqar
    Tahar, Sofiene
    NASA FORMAL METHODS, NFM 2018, 2018, 10811 : 139 - 156
  • [8] An epistemic model of task design in dynamic geometry environment
    Leung, Allen
    ZDM-MATHEMATICS EDUCATION, 2011, 43 (03): : 325 - 336
  • [9] Measuring in dynamic geometry environments as a tool for conjecturing and proving
    Olivero F.
    Robutti O.
    International Journal of Computers for Mathematical Learning, 2007, 12 (2): : 135 - 156
  • [10] Commonsense Reasoning Using Theorem Proving and Machine Learning
    Siebert, Sophie
    Schon, Claudia
    Stolzenburg, Frieder
    MACHINE LEARNING AND KNOWLEDGE EXTRACTION, CD-MAKE 2019, 2019, 11713 : 395 - 413