Abstract
Insight and understanding of the structure of units can be considered one of mathematics’ most important learning areas, as it is needed in everyday life. It is essential in everyday tasks, such as trading goods, which requires dealing with monetary values and, e.g., lengths, weights, volumes, or area units. In addition, students in higher education after primary school show problems with understanding units by confusing units, especially in advanced STEM subjects, e.g., physics. The paper shows how Augmented Reality (AR) technology can be used to gain insight into understanding units by visualizing units of length using an AR app. The design of the AR app will be presented, which was developed after a theoretical grounding and practical testing with an existing AR measuring tool on the app market. Design Science Research (DSR) will be used to develop a suitable content learning environment using the AR app. The learning environment will then be tested with students again and disseminated in international workshops for teachers.
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References
National Council of Teachers of Mathematics (NCTM): Principles and Standards for School Mathematics. NTCM, Reston (2000)
Kultusministerkonferenz (KMK): Bildungsstandards im Fach Mathematik fĂĽr die allgemeine Hochschulreife. Beschluss vom 18.10.2012. (2012). https://www.kmk.org/fileadmin/veroeffentlichungen_beschluesse/2012/2012_10_18-Bildungsstandards-Mathe-Abi.pdf. Accessed 26 March 2023
Kultusministerkonferenz (KMK): Bildungsstandards im Fach Mathematik fĂĽr den Primarbereich. Beschluss vom 15.10.2004 i.d.F. vom 23.06.2022. Luchterhand, MĂĽnchen (2022a). https://www.kmk.org/fileadmin/veroeffentlichungen_beschluesse/2022/2022_06_23-Bista-Primarbereich-Mathe.pdf. Accessed 26 March 2023
Kultusministerkonferenz (KMK): Bildungsstandrds fĂĽr das Fach Mathematik. Erster Schulabschluss (ESA) und Mittlerer Schulabschluss (MSA) (2022b). https://www.kmk.org/fileadmin/veroeffentlichungen_beschluesse/2022/2022_06_23-Bista-ESA-MSA-Mathe.pdf. Accessed 26 March 2023
Cebesoy, Ü.B., Yeniterzi, B.: 7th grade students’ mathematical difficulties in force and motion unit. Turkish J. Educ. 5(1), 18–30 (2016). https://doi.org/10.19128/turje.06150
Jua, S.K., Sarwanto, S., Sukarmin, S.: The profile of students’ problem-solving skill in physics across interest program in the secondary school. J. Phys. Conf. Ser. 1022(1), 1–8 (2018). https://doi.org/10.1088/1742-6596/1022/1/012027
Lassnitzer, E., Gaidoschik, M.: Größen: Messen – Schätzen – Umwandeln. Sicherheit durch Begreifen – Anregungen für einen verständnisorientieren Unterricht. http://www.recheninstitut.at/mathematische-lernschwierigkeiten/fordertips/umwandeln-von-maseinheiten/. Accessed 26 March 2023
Reinhold, S., Franke, M.: Didaktik der Geometrie, 3rd edn. Springer, Heidelberg (2016)
Franke, M., Ruwisch, S.: Didaktik des Sachrechnens in der Grundschule, 2nd edn. Spektrum, Heidelberg (2010)
Bragg, P., Outhred, L.: Students’ knowledge of length units: Do they know more than rules about rulers? In: Nakahara, T., Koyama, M. (eds.) Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education, pp. 97–104. Hiroshima, Hiroshima University (2000)
Kloosterman, P., Rutledge, Z., Kenney, P.: Exploring results of the NAEP: 1980s to the present: results of the long-term trend assessment (LTT) for middle grades show positive advancement. Math. Teach. Middle School 14(6), 357–365 (2009). https://doi.org/10.5951/MTMS.14.6.0357
Stephan, M., Clements, D.H.: Linear and area measurement in prekindergarten to grade 2. In: Clements, D.H. (ed.), Learning and teaching measurement, pp. 3–16. National Council of Teachers of Mathematics (2003)
Clements, D.H., Samara, J.: Learning and Teaching Early Math: The Learning Trajectories Approach. Routledge, New York, London (2009)
Zöllner, J.: Längenkonzepte von Kindern im Elementarbereich. Springer Fachmedien Wiesbaden, Wiesbaden (2020). https://doi.org/10.1007/978-3-658-27671-3
Peter-Koop, A.: Messkompetenzen und Längenvorstellungen entwickeln. Mathematik differenziert 4, 6–8 (2011)
Drake, M.: Learning to measure length. The problem with the school ruler. Austral. Prim. Math. Classroom 19(3), 27–32 (2014)
Zöllner, J., Reuter, F.: Wie messen Kinder? Überlegungen zur Einheit beim Messen. Fördermagazin Grundschule 4, 19–24 (2018)
Müller, L.M., Platz, M.: Von den Ellenstäben hin zu Augmented Reality. Vergangenheit, Gegenwart, Zukunft – Die (Weiter-)Entwicklung von Messinstrumenten. In: Digitaler Mathematikunterricht in Forschung und Praxis. Tagungsband zur Vernetzungstagung 2022, Mathematiklernen mit digitalen Medien 3, Universität Siegen (in print)
Medienpädagogischer Forschungsverbund Südwest (mpfs): KIM-Studie 2020. Kindheit, Internet, Medien (2022). https://www.mpfs.de/fileadmin/files/Studien/KIM/2020/KIM-Studie2020_WEB_final.pdf. Accessed 26 March 2023
Baller, S., Dutta, S., Lanvin, B.: The Global Information Technology Report 2016. Innovating in the Digital Econonmy (2016). https://www3.weforum.org/docs/GITR2016/WEF_GITR_Full_Report.pdf. Accessed 26 March 2023
Peffers, K., et al.: The design science research process: a model for producing and presenting information systems research. In: Proceedings of the First International Conference on Design Science Research in Information Systems and Technology, pp. 83–106 (2006)
Prediger, S., Link, M., Hinz, R., Hußmann, S., Thiele, J., Ralle, B.: Lehr-Lernprozesse initiieren und erforschen – Fachdidaktische Entwicklungsforschung im Dortmunder Modell. Der mathematische und naturwissenschaftliche Unterricht 65(8), 452–457 (2012)
Vaishnavi, V., Kuechler, W., Petter, S.: Design Science Research in Information Systems. January 20, 2004 (updated until 2019 by Vaishnavi, V. & Kuechler, W.) (2019). http://www.desrist.org/design-research-in-information-systems/. Accessed 26 March 2023
Platz M.: „Forscher spielen“ und mathematisches Beweisen in der Primarstufe. transfer Forschung - Schule 2020 6, 30–43 (2020)
Wittmann, C.E.: Design und Erforschung von Lernumgebungen als Kern der Mathematikdidaktik. Beiträge zur Lehrerbildung 16, 329–342 (1998)
Mayring, P.: Qualitative Inhaltsanalyse. Grundlagen und Techniken. Beltz, Basel (2010)
Laan Labs: AirMeasure - App-MessausrĂĽstung. iOS App Store (2020)
Mueller, L.M., Platz, M.: Visualization of area units with augmented reality. In: Immersive Learning Research Network (iLRN) Online Conference Proceedings, pp. 143–145 (2022)
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Mueller, L.M., Platz, M. (2023). Design of an Augmented Reality App for Primary School Students Which Visualizes Length Units to Promote the Conversion of Units. In: Gerber, A., Baskerville, R. (eds) Design Science Research for a New Society: Society 5.0. DESRIST 2023. Lecture Notes in Computer Science, vol 13873. Springer, Cham. https://doi.org/10.1007/978-3-031-32808-4_20
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