Origami in Education Enhanced by Computer Technology: A Case Study of Teaching Hexaflexagon in Math Class
This paper reports an experience of the author teaching high school 3D geometry with origami. In this case, students were originally expected to construct a 3D-hexaflexagon by imitating video tape so that they can understand some related math concepts better. However students demonstrated strong willing of exploring the concerned enchanting paper craft. They did not want to just memorize the folding procedures or be limited within verifying some math concepts. The teacher had then to extend the class time to 2 class periods, so that a series of creative activities are invited in. After the primary goals have been reached, two extra activities were launched. First, by exploring a torus forming animation, they explored a different algorithm of forming a hexaflexagon. Secondly, when another animation of Hexaflexagon made by the teacher was presented, the students can then explore the function of the slope of the creases. Some smart students found hexaflexagons with different shape or even different type. So the thinking level of the students reached the highest creating level by curriculum re-design. This case study comes to the conclusions that origami as well as good questions motivate students’ higher level thinking. As students’ scaffolds, video and animation technology are essential in helping the learners understanding origami in right perspectives.
KeywordsHexaflexagon origami technology enhanced learning project study
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- 2.ThinkQuest, History of Origami, http://library.thinkquest.org/5402/history.html
- 3.Lessonplanet, http://www.lessonplanet.com
- 5.Engel, D.A.: Hexaflexagons + HFG = slipagon. Journal of Recreational Mathematic 25(3), 161–166 (1993)Google Scholar
- 9.Highland Games (2008), http://www.halfpast.demon.co.uk (accessed December 10, 2008)
- 11.McLean, B.: Dodecaflexagon videos. Flexagon Lovers Group posting 497 (2008), http://tech.groups.yahoo.com/group/Flexagon_Lovers/ (Accessed October 30, 2008)