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Review of psychology, Vol. 18 No. 1, 2011.

Izvorni znanstveni članak

The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems

Jelena Paić-Antunović ; Department of Psychology, Faculty of Social Sciences and Humanities, Zagreb, Croatia
Vesna Vlahović-Štetić ; Department of Psychology, Faculty of Social Sciences and Humanities, Zagreb, Croatia

Puni tekst: engleski, pdf (263 KB) str. 23-32 preuzimanja: 189* citiraj
APA 6th Edition
Paić-Antunović, J. i Vlahović-Štetić, V. (2011). The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems. Review of psychology, 18 (1), 23-32. Preuzeto s https://hrcak.srce.hr/78214
MLA 8th Edition
Paić-Antunović, Jelena i Vesna Vlahović-Štetić. "The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems." Review of psychology, vol. 18, br. 1, 2011, str. 23-32. https://hrcak.srce.hr/78214. Citirano 23.02.2019.
Chicago 17th Edition
Paić-Antunović, Jelena i Vesna Vlahović-Štetić. "The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems." Review of psychology 18, br. 1 (2011): 23-32. https://hrcak.srce.hr/78214
Harvard
Paić-Antunović, J., i Vlahović-Štetić, V. (2011). 'The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems', Review of psychology, 18(1), str. 23-32. Preuzeto s: https://hrcak.srce.hr/78214 (Datum pristupa: 23.02.2019.)
Vancouver
Paić-Antunović J, Vlahović-Štetić V. The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems. Review of psychology [Internet]. 2011 [pristupljeno 23.02.2019.];18(1):23-32. Dostupno na: https://hrcak.srce.hr/78214
IEEE
J. Paić-Antunović i V. Vlahović-Štetić, "The effect of feedback on the intensity of the illusion of linearity in high-school students’ solving of geometry problems", Review of psychology, vol.18, br. 1, str. 23-32, 2011. [Online]. Dostupno na: https://hrcak.srce.hr/78214. [Citirano: 23.02.2019.]

Sažetak
This study examines the illusion of linearity in high-school students’ solving of geometrical problems related to the perimeter and the area of similarly reduced or enlarged figures. Previous studies have shown that students strongly believe that when one dimension of a geometrical figure is increased or decreased by factor k, the perimeter and area of that figure increase or decrease by the same factor. Such reasoning is correct when it comes to perimeters, but the area is actually modified by a factor k2. Participants in our study were third grade high-school students. They have taken an exam consisting of 6 linear and 6 non-linear items on two occasions. The results on the first exam have shown that students were very successful in solving linear problems, but were markedly unsuccessful in solving non-linear problems. Before applying the second exam, half of the students were given feedback regarding their performance on the first exam and had an opportunity to solve some of the items again. On the second exam these students solved more non-linear problems correctly than the students of the control group, but in parallel, they achieved weaker results on the linear problems when compared to the students who were not involved in our intervention.

Ključne riječi
illusion of linearity; proportionality; teaching of mathematics; geometry

Hrčak ID: 78214

URI
https://hrcak.srce.hr/78214

Posjeta: 328 *