Cognitive Backgrounds of Problem Solving: A Comparison of Open-ended vs. Closed Mathematics Problems
Abdulkadir Bahar 1 * , C. June Maker 2
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1 Bahcesehir University
2 University of Arizona
* Corresponding Author

Abstract

Background:
Problem solving has been a core theme in education for several decades. Educators and policy makers agree on the importance of the role of problem solving skills for school and real life success. A primary purpose of this study was to investigate the influence of cognitive abilities on mathematical problem solving performance of elementary students.

Materials and methods:
The author investigated this relationship by separating performance in open-ended and closed situations. Multiple regression analyses were performed to predict students’ problem solving performance. Intelligence, creativity, memory, knowledge, reading ability, verbal ability, spatial ability, and quantitative ability constituted independent variables whereas mathematical problem solving performance scores in closed and open-ended problems were the dependent variables.

Results:
Findings of the study indicated that the cognitive abilities explained 32.3% (open-ended) and 48.2% (closed) of the variance in mathematical problem solving performance as a whole.

Conclusions:
Mathematical knowledge and general intelligence were found to be the only variables that contributed significant variance to closed problem solving performance. General creativity and verbal ability were found to be the only variables that contributed significant variance to open-ended problem solving performance.

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

https://doi.org/10.12973/eurasia.2015.1410a

EURASIA J Math Sci Tech Ed, 2015 - Volume 11 Issue 6, pp. 1531-1546

Publication date: 29 Sep 2015

Article Views: 2353

Article Downloads: 1126

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