Enhancing students' geometrical thinking levels through Van Hiele's phase-based Geometer's Sketchpad-aided learning

Abdul Halim Abdullah, Johari Surif, Lokman Mohd Tahir, Nor Hasniza Ibrahim, Effandi Zakaria

Research output: ResearchConference contribution

Abstract

The content order of geometric components in the mathematics curriculum and the teaching process in a geometry class are said to be in contrast with the existing level of geometric thinking among secondary school students in Malaysia. Van Hiele (1986) proposed that directions should be given at the same level as the students' ability and therefore recommended phases of learning geometry in order to address this issue. The present study investigates the effectiveness of activities based on Van Hiele's phases of learning geometry by using the Geometer's Sketchpad (GSP) software which researchers claim is in line with the approach of Van Hiele's model. A quasi-experimental design was used in this study. The study was conducted for six weeks and involved 94 students and two teachers from a secondary school. The students were divided into control and treatment groups, with each group consisting of 47 students. Van Hiele's geometry test was given to both groups before and after the treatment. Five students from each group were randomly selected to identify the early and final levels of their geometric thinking in greater depth. Wilcoxon signed-rank test analysis showed that, although both groups showed significant differences between the early and final levels of their geometric thinking, the students' final thinking levels in both groups were significantly different. The findings from the analysis of the interview data also support the findings of the statistical analysis. Therefore, it is demonstrated that the Van Hiele phases of learning geometry should be used as a reference in arranging the geometric curriculum and content. In addition, the Van Hiele model and the GSP software can be used as an approach to teaching and learning geometry in the classroom to help students improve their level of geometric thinking.

LanguageEnglish
Title of host publication2015 IEEE 7th International Conference on Engineering Education, ICEED 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages106-111
Number of pages6
ISBN (Electronic)9781479988105
DOIs
StatePublished - 12 Apr 2016
Externally publishedYes
Event7th IEEE International Conference on Engineering Education, ICEED 2015 - Kanazawa, Japan
Duration: 17 Nov 201518 Nov 2015

Other

Other7th IEEE International Conference on Engineering Education, ICEED 2015
CountryJapan
CityKanazawa
Period17/11/1518/11/15

Fingerprint

learning
student
Students
mathematics
Group
Geometry
secondary school
curriculum
Teaching
software
Curricula
statistical analysis
Malaysia
classroom
ability
teacher
interview
Design of experiments
Statistical methods

Keywords

  • Dynamic Geometry Software
  • Geometer's Sketchpad
  • Geometrical thinking
  • Geometry
  • Van Hiele Model

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Education

Cite this

Abdullah, A. H., Surif, J., Tahir, L. M., Ibrahim, N. H., & Zakaria, E. (2016). Enhancing students' geometrical thinking levels through Van Hiele's phase-based Geometer's Sketchpad-aided learning. In 2015 IEEE 7th International Conference on Engineering Education, ICEED 2015 (pp. 106-111). [7451502] Institute of Electrical and Electronics Engineers Inc.. DOI: 10.1109/ICEED.2015.7451502

Enhancing students' geometrical thinking levels through Van Hiele's phase-based Geometer's Sketchpad-aided learning. / Abdullah, Abdul Halim; Surif, Johari; Tahir, Lokman Mohd; Ibrahim, Nor Hasniza; Zakaria, Effandi.

2015 IEEE 7th International Conference on Engineering Education, ICEED 2015. Institute of Electrical and Electronics Engineers Inc., 2016. p. 106-111 7451502.

Research output: ResearchConference contribution

Abdullah, AH, Surif, J, Tahir, LM, Ibrahim, NH & Zakaria, E 2016, Enhancing students' geometrical thinking levels through Van Hiele's phase-based Geometer's Sketchpad-aided learning. in 2015 IEEE 7th International Conference on Engineering Education, ICEED 2015., 7451502, Institute of Electrical and Electronics Engineers Inc., pp. 106-111, 7th IEEE International Conference on Engineering Education, ICEED 2015, Kanazawa, Japan, 17/11/15. DOI: 10.1109/ICEED.2015.7451502
Abdullah AH, Surif J, Tahir LM, Ibrahim NH, Zakaria E. Enhancing students' geometrical thinking levels through Van Hiele's phase-based Geometer's Sketchpad-aided learning. In 2015 IEEE 7th International Conference on Engineering Education, ICEED 2015. Institute of Electrical and Electronics Engineers Inc.2016. p. 106-111. 7451502. Available from, DOI: 10.1109/ICEED.2015.7451502
Abdullah, Abdul Halim ; Surif, Johari ; Tahir, Lokman Mohd ; Ibrahim, Nor Hasniza ; Zakaria, Effandi. / Enhancing students' geometrical thinking levels through Van Hiele's phase-based Geometer's Sketchpad-aided learning. 2015 IEEE 7th International Conference on Engineering Education, ICEED 2015. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 106-111
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