Construction with ruler and compass, van Hiele model for geometry thinking and Project-based learning
DOI:
https://doi.org/10.31686/ijier.vol9.iss9.3347Keywords:
Geometry, construction, van Hiele model, project-based learningAbstract
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.
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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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Accepted 2021-08-13
Published 2021-09-01
