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
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