Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners

Jogymol Kalariparambil Alex; John Kuttickattu Mammen

doi:10.12973/eurasia.2016.1211a

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Jogymol Kalariparambil Alex ¹ ^* , John Kuttickattu Mammen ²

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¹ Walter Sisulu University² University of Fort Hare^* Corresponding Author

Abstract

Background:
This paper reports on one part of a large study which attempted to identify the linguistic and hierarchical characteristics of van Hiele theory amongst grade 10 learners.

Materials and methods:
The sample consisted of a total of 359 participants from five conveniently selected schools from Mthatha District in the Eastern Cape Province of South Africa. The performance of these learners on a written geometry test was analysed. On the basis of the analysis, 30 learners were selected to be the subjects for interviews.This paper focuses on the analysis of the interview transcripts to discern the van Hiele characteristics among learners’ geometrical tasks.The ethical requirements were met.

Results:
This paper reports particularly on linguistic and hierarchical characteristics of the van Hiele theory.

Conclusions:
The findings from the study affirmed the existence of the linguistic and hierarchic characteristics of the van Hiele theory.

Keywords

geometry
van Hiele theory
linguistic characteristics
hierarchical nature

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

EURASIA J Math Sci Tech Ed, 2016, Volume 12, Issue 2, 173-188

https://doi.org/10.12973/eurasia.2016.1211a

Publication date: 01 Jul 2016

Article Views: 1942

Article Downloads: 1901

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How to cite this article

APA

Alex, J. K., & Mammen, J. K. (2016). Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners. Eurasia Journal of Mathematics, Science and Technology Education, 12(2), 173-188. https://doi.org/10.12973/eurasia.2016.1211a

Vancouver

Alex JK, Mammen JK. Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners. EURASIA J Math Sci Tech Ed. 2016;12(2):173-88. https://doi.org/10.12973/eurasia.2016.1211a

AMA

Alex JK, Mammen JK. Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners. EURASIA J Math Sci Tech Ed. 2016;12(2), 173-188. https://doi.org/10.12973/eurasia.2016.1211a

Chicago

Alex, Jogymol Kalariparambil, and John Kuttickattu Mammen. "Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners". Eurasia Journal of Mathematics, Science and Technology Education 2016 12 no. 2 (2016): 173-188. https://doi.org/10.12973/eurasia.2016.1211a

Harvard

Alex, J. K., and Mammen, J. K. (2016). Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners. Eurasia Journal of Mathematics, Science and Technology Education, 12(2), pp. 173-188. https://doi.org/10.12973/eurasia.2016.1211a

MLA

Alex, Jogymol Kalariparambil et al. "Geometrical Sense Making: Findings of Analysis Based on the Characteristics of the van Hiele Theory among a Sample of South African Grade 10 Learners". Eurasia Journal of Mathematics, Science and Technology Education, vol. 12, no. 2, 2016, pp. 173-188. https://doi.org/10.12973/eurasia.2016.1211a