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ERIC Number: EJ1169979
Record Type: Journal
Publication Date: 2018-Feb
Pages: 16
Abstractor: As Provided
ISSN: ISSN-1571-0068
Middle School Students' Reasoning in Nonlinear Proportional Problems in Geometry
Ayan, Rukiye; Isiksal Bostan, Mine
International Journal of Science and Mathematics Education, v16 n3 p503-518 Feb 2018
In this study, we investigate sixth, seventh, and eighth grade students' achievement in nonlinear (quadratic or cubic) proportional problems regarding length, area, and volume of enlarged figures. In addition, we examine students' solution strategies for the problems and obstacles that prevent students from answering the problems correctly by using a mixed method research design. A total of 935 middle school students were given a paper-pencil test and 12 of them were interviewed. Findings indicated that achievement of the participants were low and that students used a limited number of strategies for solving the problems. In addition, these strategies were found to have lacked the argument of the linear proportional and nonlinear proportional relationships among length, area, and volume concepts for most of the participants' answers. Moreover, analysis revealed that the confusion of linear proportional and nonlinear proportional relationships and misinterpretation of additive and multiplicative relationships were serious obstacles while solving the nonlinear proportional problems related to the area and volume of enlarged figures.
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Publication Type: Journal Articles; Reports - Research
Education Level: Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A