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Construction with ruler and compass, van Hiele model for geometry thinking and Project-based learning

Authors
DOI:
https://doi.org/10.31686/ijier.vol9.iss9.3347
Keywords:
Array, Array, Array, Array
Abstract

We describe how problems of geometric construction using straightedge and compass can be introduced to students through project-based learning. We discuss how these problems can be extended to the upper half-plane model. Furthermore, we discuss the use of these problems to assess advanced levels in van Hiele model for geometry thinking.

Author Biography
  1. Nafaa Chbili, United Arab Emirates University

    Associate Professor, Department of Mathematical Sciences, College of Science

References

Artmann, B., "Euclidean geometry". Encyclopedia Britannica, 10 Sep. 2020, https://www.britannica.com/science/Euclidean-geometry. Accessed 17 July 2021.

Berinde V., “A Geometric Construction Using Ruler and Compass”, In: Exploring, Investigating and Discovering in Mathematics. Birkhäuser, Basel. 2004. DOI: https://doi.org/10.1007/978-3-0348-7889-0_3

Burger, W. E. and Shaughnessy J. M., "Characterizing the van Hiele Levels of Development in Geometry." Journal of Research in in Mathematical Education 17 (1986): 31-48. DOI: https://doi.org/10.5951/jresematheduc.17.1.0031

Clements. D., “Teaching and Learning Geometry”, In J. Kilparick (Ed) Research Companion to the NCTM Standards for Mathematics. Reston, VA: NCTM. 2001.

Crowley, M. L., “The van Hiele Model of the Development of Geometric Thought." In M.M. Lindquist, and A.P. Shulte (Eds.), Learning and teaching geometry, K-12 (pp. 1-16). Reston, VA: N.C.T.M.

Heilbron, J. L., "Geometry", Encyclopedia Britannica, 3 Feb. 2020, https://www.britannica.com/science/geometry. Accessed 17 July 2021.

Stahl S., A gateway to modern geometry: The Poincaré half-plane model, Jones and Barlett Publishers, Boston, Second Edition, 2008.

Vojkuvkova I., “The van Hiele Model of Geometric Thinking”, WDS'12 Proceedings of Contributed Papers, Part I, 72–75, 2012.

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Published
2021-09-01
Issue
Vol. 9 No. 9 (2021): International Journal for Innovation Education and Research
Section
Journal Articles
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Copyright (c) 2021 Nafaa Chbili

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How to Cite

Chbili, N. (2021). Construction with ruler and compass, van Hiele model for geometry thinking and Project-based learning. International Journal for Innovation Education and Research, 9(9), 335-341. https://doi.org/10.31686/ijier.vol9.iss9.3347