INVESTIGATING PLANE GEOMETRY PROBLEM-SOLVING STRATEGIES OF PROSPECTIVE MATHEMATICS TEACHERS IN TECHNOLOGY AND PAPER-AND-PENCIL ENVIRONMENTS

This study aims to investigate plane geometry problem-solving strategies of prospective mathematics teachers using dynamic geometry software (DGS) and paper-and-pencil (PPB) environments after receiving an instruction with GeoGebra (GGB). Four plane geometry problems were used in a multiple case stu...

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Bibliographic Details
Published inInternational journal of science and mathematics education Vol. 13; no. 4; pp. 837 - 862
Main Authors Koyuncu, Ilhan, Akyuz, Didem, Cakiroglu, Erdinc
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.08.2015
Springer
Subjects
Algebra
Computer Software
Education
Educational Technology
Geometry
Mathematical Logic
Mathematics Education
Mathematics Instruction
Mathematics Teachers
Preservice Teachers
Problem Solving
Science Education
Teaching Methods
Technology Uses in Education
Validity
GeoGebra
dynamic geometry software
mathematical problem solving
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Summary:This study aims to investigate plane geometry problem-solving strategies of prospective mathematics teachers using dynamic geometry software (DGS) and paper-and-pencil (PPB) environments after receiving an instruction with GeoGebra (GGB). Four plane geometry problems were used in a multiple case study design to understand the solution strategies developed by 2 prospective teachers. The results revealed that although the participants mostly used algebraic solutions in the PPB environment, they preferred geometric solutions in the GGB environment even though algebraic solutions were still possible (the software did not preclude them). Furthermore, different proofing strategies were developed in each environment. This suggests that changing the environment may prompt students to seek for additional solutions, which, in turn, results in a deeper understanding of the problem. As such, using both environments simultaneously in solving the same problems appears to bring about important benefits.
ISSN:1571-0068
1573-1774
DOI:10.1007/s10763-014-9510-8