Computer aided learning of proving in school geometry

被引:0
|
作者
Magajna, Zlatan [1 ]
机构
[1] Univ Ljubljana, Fac Educ, Kardeljeva Pl 16, Ljubljana 1000, Slovenia
关键词
computer aided learning; computer aided proving; dynamic geometry; geometry theorems; plane geometry; problem solving; problem space; proof; theorem proving;
D O I
10.1504/IJCEELL.2008.022169
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
Dynamic Geometry Systems (DGS) are powerful presentation and visualisation tools; however, they are not so useful in helping students to prove facts and to understand how theorems and proofs originate in one's mind. To facilitate the learning of proving geometry facts a software program has been developed by the author. The considered geometric configuration is first constructed on a DGS. The programme reads the drawing and lists several 'observable' properties of the configuration. The student then sets the problem space by selecting the facts s/he finds relevant to the proof. Finally, the student builds a proof by connecting the facts in problem space with logical argumentations in an iconic and/or symbolic view. The software can be used as well for exploring configurations and finding out novel properties (theorems). The effect of using the software has been investigated on a small scale experiment.
引用
收藏
页码:619 / 626
页数:8
相关论文
共 50 条
  • [31] Computer programming teaching in learning High School Physics
    Roldan-Segura, C.
    Perales-Palacios, F. J.
    Ruiz-Granados, B.
    Moral-Santaella, C.
    de la Torre, A.
    REVISTA EUREKA SOBRE ENSENANZA Y DIVULGACION DE LAS CIENCIAS, 2018, 15 (01):
  • [32] Comparative study on interactive computer-aided-learning and computer-aided-testing in patient-based dental training in maxillofacial surgery
    Eitner, Stephan
    Holst, Stefan
    Wichmann, Manfred
    Karl, Matthias
    Nkenke, Emeka
    Schlegel, Andreas
    EUROPEAN JOURNAL OF DENTAL EDUCATION, 2008, 12 (01) : 35 - 40
  • [33] 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
  • [34] Reasoning-and-Proving in School Mathematics Textbooks
    Stylianides, Gabriel J.
    MATHEMATICAL THINKING AND LEARNING, 2009, 11 (04) : 258 - 288
  • [35] Using Computer-Assisted Multiple Representations in Learning Geometry Proofs
    Wong, Wing-Kwong
    Yin, Sheng-Kai
    Yang, Hsi-Hsun
    Cheng, Ying-Hao
    EDUCATIONAL TECHNOLOGY & SOCIETY, 2011, 14 (03): : 43 - 54
  • [36] An Empathic Avatar in a Computer-Aided Learning Program to Encourage and Persuade Learners
    Chen, Gwo-Dong
    Lee, Jih-Hsien
    Wang, Chin-Yeh
    Chao, Po-Yao
    Li, Liang-Yi
    Lee, Tzung-Yi
    EDUCATIONAL TECHNOLOGY & SOCIETY, 2012, 15 (02): : 62 - 72
  • [37] Requirements for computer-aided learning from the point of view of electronic design
    Reis, R
    EDUTECH: WHERE COMPUTER-AIDED DESIGN MEETS COMPUTER-AIDED LEARNING, 2004, 151 : 63 - 68
  • [38] CONJECTURING AND PROVING IN DYNAMIC GEOMETRY: THE ELABORATION OF SOME RESEARCH HYPOTHESES
    Baccaglini-Frank, Anna
    Mariotti, Maria Alessandra
    CERME 6 - PROCEEDINGS OF THE 6TH CONGRESS OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION, 2010, : 231 - 240
  • [39] Analysis of mathematical proving in geometry based on Habermas' construct of rationality
    Urhan, Selin
    Bulbul, Ali
    MATHEMATICS EDUCATION RESEARCH JOURNAL, 2023, 35 (04) : 929 - 959
  • [40] The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks
    Otten, Samuel
    Gilbertson, Nicholas J.
    Males, Lorraine M.
    Clark, D. Lee
    MATHEMATICAL THINKING AND LEARNING, 2014, 16 (01) : 51 - 79