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ERIC Number: EJ850969
Record Type: Journal
Publication Date: 2009-Sep
Pages: 22
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0013-1954
Using Diagrams as Tools for the Solution of Non-Routine Mathematical Problems
Pantziara, Marilena; Gagatsis, Athanasios; Elia, Iliada
Educational Studies in Mathematics, v72 n1 p39-60 Sep 2009
The Mathematics education community has long recognized the importance of diagrams in the solution of mathematical problems. Particularly, it is stated that diagrams facilitate the solution of mathematical problems because they represent problems' structure and information (Novick & Hurley, 2001; Diezmann, 2005). Novick and Hurley were the first to introduce three well-defined types of diagrams, that is, network, hierarchy, and matrix, which represent different problematic situations. In the present study, we investigated the effects of these types of diagrams in non-routine mathematical problem solving by contrasting students' abilities to solve problems with and without the presence of diagrams. Structural equation modeling affirmed the existence of two first-order factors indicating the differential effects of the problems' representation, i.e., text with diagrams and without diagrams, and a second-order factor representing general non-routine problem solving ability in mathematics. Implicative analysis showed the influence of the presence of diagrams in the problems' hierarchical ordering. Furthermore, results provided support for other studies (e.g. Diezman & English, 2001) which documented some students' difficulties to use diagrams efficiently for the solution of problems. We discuss the findings and provide suggestions for the efficient use of diagrams in the problem solving situation.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A