Designing Intuitive Tools
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Keywords

virtual reality
dynamic geometry software
usability
tools
psychomotoric
Mathematics Didactics
design principles

How to Cite

Tahiri, Yasamin, Lena Florian, and Mutfried Hartmann. 2022. “Designing Intuitive Tools: Design Principles for Developing a Dynamic Geometry Software for Virtual Reality”. MediaEducation: Journal for Theory and Practice of Media Education 47 (AR/VR - Part 1): 94-117. https://doi.org/10.21240/mpaed/47/2022.04.05.X.

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Copyright (c) 2022 Yasamin Tahiri, Lena Florian, Mutfried Hartmann

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Virtual realities enable new opportunities for bringing mathematics closer to scholars. In particular, the use of virtual reality could strengthen the understanding of spatial relationships, which is primarily important in spatial geometry. So far, however, there are barely virtual applications available in the field of spatial geometry (Florian and Kortenkamp in print). Due to this, this paper addresses the possible design of an interactive, virtual application for spatial geometry while paying extra attention to user friendliness and the opportunity of an intuitive use of the application tools by students. Based on the psychomotor domain by Atkinson (2013), design principles are derived, and corresponding design proposals are explained. Specifically, the goal of this paper is that application tools can be learned more effectively through the mentioned design principles. The design principles and proposals are explained by examples and comparisons of already existing desktop applications for spatial geometry. Among other things, it becomes clear that the derived design principles for virtual geometry software have not been implemented in some of the desktop applications mentioned. Based on the design principles and proposals, research approaches are named that deal primarily with validation options.

https://doi.org/10.21240/mpaed/47/2022.04.05.X

References

Adobe. 2021. Adobe Animate (Version 21.0.7). Windows. C++. Adobe.

Artisteer Limited. 2021. Nicepage (Version 3.22). Windows. Artisteer Limited.

Atkinson, Simon Paul. 2013. «Taxonomy Circles: Visualizing the Possibilities of Intended Learning Outcomes». Learning and Teaching Working Papers 14. https://sijen.com/wp-content/uploads/2015/01/taxonomy-circles-atkinson-aug13.pdf.

Auliya, R N, und M Munasiah. 2019. «Mathematics Learning Instrument Using Augmented Reality for Learning 3D Geometry». Journal of Physics: Conference Series 1318 (1): 012069. https://doi.org/10.1088/1742-6596/1318/1/012069.

Bloom, Benjamin S. 1956. «Taxonomy of Educational Objectives». In Encyclopedia of Educational Theory and Philosophy, herausgegeben von D. C. Phillips. Thousand Oaks, CA: Sage. https://doi.org/10.4135/9781483346229.n326.

Cangas, Diego, Antonio Codina, Dante Y Chavil, José M Fernández, Mª Mar García, Jacob Kamerling, Encarnación López, Grazyna Morga, José L Rodríguez, und Isabel Mª Romero. 2021. «Using NeoTrie VR for STEM Education in Virtual Reality», International Conference The Future of Education, 5. https://conference.pixel-online.net/FOE/files/foe/ed0011/FP/7401-MATH5175-FP-FOE11.pdf.

Collins, Allan. 2006. «Cognitive apprenticeship». In Cambridge Handbook of the Learning Sciences, 776. Cambridge handbooks in psychology. New York, NY: Cambridge University Press.

Collins, Allan, John Seely Brown, Susan E. Newman, und Montclair State University. 1988. «Cognitive Apprenticeship: Teaching the Craft of Reading, Writing and Mathematics». Thinking: The Journal of Philosophy for Children 8 (1): 2–10. https://doi.org/10.5840/thinking19888129.

Dave, Ravindra H. 1967. «Psychomotor domain». Gehalten auf der International Conference of Educational Testing, Berlin.

Dörner, Ralf, Wolfgang Broll, Paul Grimm, und Bernhard Jung, Hrsg. 2013. Virtual und Augmented Reality (VR / AR). eXamen.press. Berlin, Heidelberg: Springer. https://doi.org/10.1007/978-3-642-28903-3.

Etzold, Heiko. 2021. «New Ways to the Angle Concept. Neue Zugänge zum Winkelbegriff: Fachdidaktische Entwicklungsforschung zur Ausbildung des Winkelfeldbegriffs bei Schülerinnen und Schülern der vierten Klassenstufe». Universität Potsdam. https://doi.org/10.25932/PUBLISHUP-50418.

Florian, Lena, und Heiko Etzold. 2021. «Würfel mit digitalen Medien – Wo führt das noch hin? Ein tätigkeitstheoretischer Blick auf Würfelhandlungen». In Mathematik treiben mit Grundschulkindern – Konzepte statt Rezepte. Festschrift für Günter Krauthausen, von Marianne Nolte und Tobias Huhmann, herausgegeben von Alexandra Pilgrim, 17–29. Münster: WTM. https://doi.org/10.37626/GA9783959871624.0.02.

Florian, Lena, und Ulrich Kortenkamp (im Druck). «Virtuelle Welten im Mathematikunterricht – Lernumgebungen in erweiterter Realität». In Digitales Lehren und Lernen von Mathematik in der Schule, herausgegeben von Guido Pinkernell, Frank Reinhold, Florian Schacht, und Daniel Walter. Heidelberg: Springer.

Ghefaili, Aziz. 2003. «Cognitive Apprenticeship, Technology, and the Contextualization of Learning Environments». Journal of Educational Computing, Design & Online Learning 4.

Harrow, Anita J. 1972 A Taxonomy of the Psychomotor Domain: A Guide for Developing Behavioral Objectives. New York: D. McKay.

Hattermann, Mathias. 2011. Der Zugmodus in 3D-dynamischen Geometriesystemen (DGS). Wiesbaden: Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-8207-3.

Hofer, Matthias. 2013. «Präsenzerleben und Transportation». In Handbuch Medienwirkungsforschung, herausgegeben von Wolfgang Schweiger und Andreas Fahr, 279–94. Wiesbaden: Springer. https://doi.org/10.1007/978-3-531-18967-3_14.

Hohenwarter, Markus. 2007. «GeoGebra — didaktische Materialien und Anwendungen für den Mathematikunterricht». Journal für Mathematik-Didaktik 28 (1): 76–77. https://doi.org/10.1007/BF03339335.

HTC, und Valve. 2016. HTC Vive. Windows. HTC.

Jerald, Jason. 2016. The VR Book: Human-Centered Design for Virtual Reality. ACM Books 8. New York, San Rafael, California: Morgan & Claypool.

Kaufmann, Hannes, Dieter Schmalstieg, und Michael Wagner. 2000. «Construct3D: A Virtual Reality Application for Mathematics and Geometry Education». Education and Information Technologies 5 (4): 263–76. https://doi.org/10.1023/A:1012049406877.

Kaufmann, Hannes. 2007. «Applications of Mixed Reality». In Virtual Reality: Second International Conference, ICVR 2007, Held as Part of HCI International 2007, Beijing, China, July 22-27, 2007: Proceedings, herausgegeben von Randall Shumaker. Lecture Notes in Computer Science 4563. Berlin, New York: Springer.

Kaufmann, Hannes. 2009. «Virtual Environments for Mathematics and Geometry Education». In Themes in Science and Technology Education 2 (1): 131–152. http://earthlab.uoi.gr/theste/index.php/theste/article/view/60.

Kearney, Matthew, Sandra Schuck, Kevin Burden, und Peter Aubusson. 2012. «Viewing Mobile Learning from a Pedagogical Perspective». Research in Learning Technology 20 (1): 14406. https://doi.org/10.3402/rlt.v20i0.14406.

Knapp, Olaf. 2015. Dynamische Raumgeometrie-Systeme für die Schule: Dynamic 3D geometry systems for learning and instruction. Norderstedt: Books on Demand.

Kortenkamp, Ulrich. 2000. «Foundations of Dynamic Geometry». Journal Für Mathematik-Didaktik 21 (2): 161–62. https://doi.org/10.1007/BF03338916.

Kortenkamp, Ulrich, und Christian Dohrmann. 2010. «User Interface Design For Dynamic Geometry Software». Acta didactica Napocensica 3 (2): 8. http://dppd.ubbcluj.ro/adn/article_3_2_6.pdf.

Kounlaxay, Kalaphath, Yoonsik Shim, Shin-Jim Kang, Ho-Young Kwak, und Soo Kyun Kim. 2021. «Learning Media on Mathematical Education Based on Augmented Reality». KSII Transactions on Internet and Information Systems 15 (3). https://doi.org/10.3837/tiis.2021.03.011.

Kultusministerkonferenz. 2015. «Bildungsstandards im Fach Mathematik für die Allgemeine Hochschulreife: Beschluss der Kultusministerkonferenz vom 18.10.2012». Beschlüsse der Kultusministerkonferenz – gymnasiale Oberstufe, Abendgymnasium, Kolleg, Abiturprüfung, Sammlung der Beschlüsse der Ständigen Kultusministerkonferenz. Beil.

Kultusministerkonferenz. 2016. Bildung in der digitalen Welt. Strategie der Kultusministerkonferenz. Herausgegeben von Sekretariat der Kultusministerkonferenz. Berlin. https://www.kmk.org/fileadmin/Dateien/pdf/PresseUndAktuelles/2018/Digitalstrategie_2017_mit_Weiterbildung.pdf.

Kultusministerkonferenz. 2021. «Lehren und Lernen in der digitalen Welt». Ergänzung zur Strategie der Kultusministerkonferenz «Bildung in der digitalen Welt». Herausgegeben von Sekretariat der Kultusministerkonferenz. Berlin. https://www.kmk.org/fileadmin/veroeffentlichungen_beschluesse/2021/2021_12_09-Lehren-und-Lernen-Digi.pdf.

Lainufar, Mailizar, und R. Johar. 2020. «A Need Analysis for the Development of Augmented Reality Based-Geometry Teaching Instruments in Junior High Schools». Journal of Physics: Conference Series 1460 (1): 012034. https://doi.org/10.1088/1742-6596/1460/1/012034.

Langley, Pat. 1997. «Machine Learning for Adaptive User Interfaces». In KI-97: Advances in Artificial Intelligence, herausgegeben von Gerhard Brewka, Christopher Habel, und Bernhard Nebel, 1303:53–62. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer. https://doi.org/10.1007/3540634932_3.

Liu, Zhongxiu, Visit Pataranutaporn, und Jaclyn Ocumpaugh. 2013. «Sequences of Frustration and Confusion, and Learning», 6th International Conference on Educational Data Mining (EDM 2013). http://educationaldatamining.org/EDM2013/proceedings/paper_34.pdf.

Mailizar, und Rahmah Johar. 2021. «Examining Students’ Intention to Use Augmented Reality in a Project-Based Geometry Learning Environment». International Journal of Instruction 14 (2): 773–90. https://doi.org/10.29333/iji.2021.14243a.

Öndeş, Rabia Nur. 2021. «Research Trends in Dynamic Geometry Software: A Content Analysis from 2005 to 2021». World Journal on Educational Technology 13 (2): 236–60. https://doi.org/10.18844/wjet.v13i2.5695.

Rabardel, Pierre. 2002. «People and Technology: A Cognitive Approach to Contemporary Instruments». https://hal.archives-ouvertes.fr/hal-01020705.

Richter-Gebert, Jürgen, und Ulrich Kortenkamp. 2002. «Dynamische Geometrie: Grundlagen Und Möglichkeiten». Tagungsband Zum Nürnberger Kolloquium Zur Didaktik Der Mathematik. Universität Erlangen-Nürnberg: Eigendruck.

Rodríguez, José L., Grażyna Morga, und Diego Cangas-Moldes. 2019. «Geometry Teaching Experience in Virtual Reality with NeoTrie VR». Psychology, Society & Education 11 (3): 355. https://doi.org/10.25115/psye.v11i3.2270.

Simpson, Elisabeth Jane. 1966. «The classification of educational objectives: Psychomotor domain». Illinois Journal of Horne Economics 10 (4): 110–44.

Spatial Systems. 2021. Spatial (Version 1.6). Windows. Spatial Systems.

Valve. 2003. Steam (Version v020). Windows. C++. Valve.

Vom Hofe, Rudolf. 1995. «Grundvorstellungen mathematischer Inhalte», Texte zur Didaktik der Mathematik. Heidelberg u.a.: Spektrum.