A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders

Hsiu-Lan Ma; De-Chih Lee; Szu-Hsing Lin; Der-Bang Wu

doi:10.12973/eurasia.2015.1412a

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Hsiu-Lan Ma ¹, De-Chih Lee ², Szu-Hsing Lin ² ^* , Der-Bang Wu ³

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¹ Professor, Department of Business Administration, Ling Tung University² Da Yeh University³ National Taichung University of Education^* Corresponding Author

Abstract

Background:
This study presents partial results from the project “A Study of perceptual apprehensive, operative apprehensive, sequential apprehensive, and discursive apprehensive for elementary school students (POSD)”, which was undertaken to explore gender differences and passing rate of van Hiele’s geometric thinking level.

Materials and methods:
The participants were 5,581 elementary school students randomly selected from 23 counties/cities in Taiwan.

Results:
This paper analysed the passing rate of van Heile geometric thinking of Taiwanese 1st to 6th graders, and studied the gender differences at different grades. The statement below shows the passed population and the passing rate.

Conclusions:
The conclusions drawn from this study were: (a) evidence supporting the hierarchy of the van Hiele levels, (b) students at different levels have different concepts of basic figures, and (c) for elementary school students, the passing rates of boys and girls have no significant differences in van Hiele’s geometric thinking level.

Keywords

van Hiele
Perceptual
operative
sequential
Discursive

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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, Volume 11, Issue 5, 2015, 1181-1196

https://doi.org/10.12973/eurasia.2015.1412a

Publication date: 25 Aug 2015

Article Views: 4396

Article Downloads: 3928

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How to cite this article

APA

Ma, H.-L., Lee, D.-C., Lin, S.-H., & Wu, D.-B. (2015). A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders. Eurasia Journal of Mathematics, Science and Technology Education, 11(5), 1181-1196. https://doi.org/10.12973/eurasia.2015.1412a

Vancouver

Ma HL, Lee DC, Lin SH, Wu DB. A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders. EURASIA J Math Sci Tech Ed. 2015;11(5):1181-96. https://doi.org/10.12973/eurasia.2015.1412a

AMA

Ma HL, Lee DC, Lin SH, Wu DB. A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders. EURASIA J Math Sci Tech Ed. 2015;11(5), 1181-1196. https://doi.org/10.12973/eurasia.2015.1412a

Chicago

Ma, Hsiu-Lan, De-Chih Lee, Szu-Hsing Lin, and Der-Bang Wu. "A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders". Eurasia Journal of Mathematics, Science and Technology Education 2015 11 no. 5 (2015): 1181-1196. https://doi.org/10.12973/eurasia.2015.1412a

Harvard

Ma, H.-L., Lee, D.-C., Lin, S.-H., and Wu, D.-B. (2015). A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders. Eurasia Journal of Mathematics, Science and Technology Education, 11(5), pp. 1181-1196. https://doi.org/10.12973/eurasia.2015.1412a

MLA

Ma, Hsiu-Lan et al. "A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders". Eurasia Journal of Mathematics, Science and Technology Education, vol. 11, no. 5, 2015, pp. 1181-1196. https://doi.org/10.12973/eurasia.2015.1412a