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Students Approaches in Constructing Convincing Arguments in Geometry Using Technology: A Case Study  

Rahim, Medhat H. (Faculty of Education, Lakehead University)
Siddo, Radcliffe A. (Faculty of Education, Lakehead University)
Publication Information
Research in Mathematical Education / v.14, no.3, 2010 , pp. 219-231 More about this Journal
Abstract
Mathematically, a proof is to create a convincing argument through logical reasoning towards a given proposition or a given statement. Mathematics educators have been working diligently to create environments that will assist students to perform proofs. One of such environments is the use of dynamic-geometry-software in the classroom. This paper reports on a case study and intends to probe into students' own thinking, patterns they used in completing certain tasks, and the extent to which they have utilized technology. Their tasks were to explore the shape-to-shape, shape-to-part, and part-to-part interrelationships of geometric objects when dealing with certain geometric problem-solving situations utilizing dissection-motion-operation (DMO).
Keywords
proof; technology; convincing arguments; case study; dynamic geometry software;
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