Abstract
Feedback is an essential aspect of computer-based learning environments (CBLE). However, the effect of specific types of feedback on the mathematics performance and self-rating ability of students has not yet been definitively established. To resolve this knowledge gap, we plan to conduct a (quasi-) experimental study with 8th- and 9th-grade students in high schools (Gymnasium) in North Rhine-Westphalia, Germany. The study is going to use a MediaWiki-based CBLE named “Discover Quadratic Functions”. This chapter gives an overview of existing research on CBLE design principles and feedback types. Moreover, the theoretical decisions underlying the design of the CBLE on quadratic functions are presented and explained. Finally, we focus on the results of a qualitative preliminary study, as well as the design of the upcoming main study.
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Notes
- 1.
In the post-test associated with the study, the students will be asked which chapters they worked on during the available time.
- 2.
See the ZUM-Wiki link: https://wiki.zum.de/wiki/Quadratische_Funktionen_erkunden/Die_Scheitelpunktform (version: 2016-11-29), available in German only.
- 3.
See Footnote 2.
- 4.
We would also like to thank several students who supported our research as part of their master theses at the University of Münster.
References
Attali, Y. (2015). Effects of multiple-try feedback and question type during mathematics problem solving on performance in similar problems. Computers & Education,86, 260–267.
Azevedo, R., & Bernard, R. (1995). A meta-analysis of the effects of feedback in computer-based instruction. Journal of Educational Computing Research,13(2), 111–127.
Baker, R. S. J., D’Mello, S. K., Rodrigo, M. M. T., & Graesser, A. C. (2010). Better to be frustrated than bored: The incidence, persistence, and impact of learners’ cognitive-affective states during interactions with three different computer-based learning environments. International Journal of Human-Computer Studies,68(4), 223–241.
Balacheff, N., & Kaput, J. J. (1996). Computer-based learning environments in mathematics. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education: Part 1 (pp. 469–501). https://doi.org/10.1007/978-94-009-1465-0_14.
Bangert-Drowns, R. L., Kulik, C.-L. C., Kulik, J. A., & Morgan, M. T. (1991). The instructional effect of feedback in test-like events. Review of Educational Research,61(2), 213–238. https://doi.org/10.3102/00346543061002213.
Bimba, A. T., Idris, N., Al-Hunaiyyan, A., Mahmud, R. B., & Shuib, N. L. M. (2017). Adaptive feedback in computer-based learning environments: A review. Adaptive Behavior,25(5), 217–234. https://doi.org/10.1177/1059712317727590.
Black, P., & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice,5(1), 7–74. https://doi.org/10.1080/0969595980050102.
Boud, D., & Molloy, E. (2013). Rethinking models of feedback for learning: The challenge of design. Assessment & Evaluation in Higher Education,38(6), 698–712.
Corbett, A. T., & Anderson, J. R. (2001). Locus of feedback control in computer-based tutoring: Impact on learning rate, achievement and attitudes. In J. Jacko, A. Sears, M. Beaudouin-Lafon, & R. Jacob (Eds.), Proceedings of ACM CHI’2001 Conference on Human Factors in Computing Systems (pp. 245–252). New York: ACM Press.
Dempsey, J. V., Driscoll, M. P., & Swindell, L. K. (1993). Text-based feedback. In J. V. Dempsey & G. C. Sales (Eds.), Interactive instruction and feedback (pp. 21–54). Englewood Cliffs, NJ: Educational Technology.
Doorman, M., Drijvers, P., Gravemeijer, K., Boon, P., & Reed, H. (2012). Tool use and the development of the function concept: From repeated calculations to functional thinking. International Journal of Science and Mathematics Education,10(6), 1243–1267.
Federal Ministry of Education and Research. (2016). Bildungsoffensive für die digitale Wissensgesellschaft. Strategie des Bundesministeriums für Bildung und Forschung. Retrieved from https://www.bmbf.de/files/Bildungsoffensive_fuer_die_digitale_Wissensgesellschaft.pdf.
Fyfe, E. R. (2016). Providing feedback on computer-based algebra homework in middle-school classrooms. Computers in Human Behavior,63, 568–574. https://doi.org/10.1016/j.chb.2016.05.082.
German Education Server. (2014). Open Educational Resources (OER). An Overview of Initiatives Worldwide. Retrieved from http://www.bildungsserver.de/Open-Educational-Resources-OER-an-Overview-of-Initiatives-Worldwide-6998_eng.html.
Greefrath, G., Oldenburg, R., Siller, H.-S., Ulm, V., & Weigand, H.-G. (2016). Didaktik der Analysis. Aspekte und Grundvorstellungen zentraler Begriffe. Berlin and Heidelberg: Springer Spektrum.
Hattie, J. (2009). Visible learning: A synthesis of 800+ meta-analyses on achievement. Abington: Routledge.
Hattie, J., & Timperley, H. (2007). The power of feedback. Review of Educational Research,77(1), 81–112. https://doi.org/10.3102/003465430298487.
Isaacs, W., & Senge, P. (1992). Overcoming limits to learning in computer-based learning environments. European Journal of Operational Research,59(1), 183–196. https://doi.org/10.1016/0377-2217(92)90014-Z.
Kulhavy, R. W., & Stock, W. A. (1989). Feedback in written instruction: The place of response certitude. Educational Psychology Review,1(4), 279–308.
Malle, G. (2000). Zwei Aspekte von Funktionen: Zuordnung und Kovariation. mathematik lehren, 118, 57–62.
Mathematik-digital. (2006). Was ist ein guter Lernpfad? - Qualitätskriterien. Hrsg. vom Arbeitskreis Mathematik digital. Retrieved from http://wiki.zum.de/Mathematik-digital/Kriterienkatalog, version of 18.11.2017.
Mayring, P. (2010). Qualitative Inhaltsanalyse. Grundlagen und Techniken (11 revised ed.). Weinheim and Basel: Beltz.
Mory, E. H. (2004). Feedback research revisited. In D. H. Jonassen (Eds.), Handbook of research on educational communications and technology (2nd ed., pp. 745–783). Taylor & Francis.
Nelson, M. M., & Schunn, C. D. (2009). The nature of feedback: How different types of peer feedback affect writing performance. Instructional Science,37(4), 375–401. https://doi.org/10.1007/s11251-008-9053-x.
Nicol, D. J., & Macfarlane-Dick, D. (2006). Formative assessment and self-regulated learning: A model and seven principles of good feedback practice. Studies in Higher Education,31(2), 199–218.
Nitsch, R. (2015). Diagnose von Lernschwierigkeiten im Bereich funktionaler Zusammenhänge. Eine Studie zu typischen Fehlermustern bei Darstellungswechseln. Wiesbaden: Springer Spektrum.
OECD. (2017). Open Educational Resources (OER). Retrieved from http://www.oecd.org/edu/ceri/open-educational-resources-oer.htm.
Roth, J. (2015). Lernpfade: Definition, Gestaltungskriterien und Unterrichtseinsatz. In J. Roth, E. Süss-Stepancik, & H. Wiesner (Eds.), Medienvielfalt im Mathematikunterricht. Lernpfade als Weg zum Ziel (pp. 3–25). Wiesbaden: Springer Spektrum.
Sadler, D. R. (1989). Formative assessment and the design of instructional systems. Instructional Science,18, 119–144.
SCMECA—Standing Conference of the Ministers of Education and Cultural Affairs. (2003). Bildungsstandards im Fach Mathematik für den Mittleren Schulabschluss. Wolters Kluver.
SCMECA—Standing Conference of the Ministers of Education and Cultural Affairs. (2016). Bildung in der digitalen Welt. Strategie der Kultusministerkonferenz. Retrieved from https://www.kmk.org/fileadmin/Dateien/pdf/PresseUndAktuelles/2016/Bildung_digitale_Welt_Webversion.pdf.
Shute, V. J. (2008). Focus on formative feedback. Review of Educational Research,78(1), 153–189. https://doi.org/10.3102/0034654307313795.
Sur, C. (2017). Selbstgesteuertes Lernen mit Lernpfaden im Mathematikunterricht aus Sicht der Lernenden – Eine qualitative Untersuchung auf Basis von Interviews. Unpublished master thesis, University of Münster.
Swan, M. (1982). The teaching of functions and graphs. In Proceedings of the Conference on Functions (pp. 151–165). Enschede, The Netherlands: National Institute for Curriculum Development.
UNESCO. (2017). Open Educational Resources. Retrieved from http://www.unesco.org/new/en/communication-and-information/access-to-knowledge/open-educational-resources/.
Van der Kleij, F. M., Feskens, R. C. W., & Eggen, T. J. H. M. (2015). Effects of feedback in a computer-based learning environment on student’s learning outcomes: A meta-analysis. Review of Educational Research,85(4), 475–511. https://doi.org/10.3102/0034654314564881.
Vollrath, H.-J. (1989). Funktionales Denken. Journal für Mathematikdidaktik,10(1), 3–37.
Vollrath, H.-J. (2014). Funktionale Zusammenhänge. In H. Linneweber-Lammerskitten (Ed.), Fachdidaktik Mathematik. Friedrich: Seelze.
Vollrath, H.-J., & Roth, J. (2012). Grundlagen des Mathematikunterrichts in der Sekundarstufe (2nd ed.). Heidelberg: Springer Spektrum.
Wiesner, H., & Wiesner-Steiner, A. (2015). Einschätzungen zu Lernpfaden – Eine empirische Exploration. In J. Roth, E. Süss-Stepancik, & H. Wiesner (Eds.), Medienvielfalt im Mathematikunterricht. Lernpfade als Weg zum Ziel (pp. 27–45). Wiesbaden: Springer Spektrum.
Zaslavsky, O. (1997). Conceptual obstacles in the learning of quadratic functions. Focus on Learning Problems in Mathematics Winter Edition,19(1), 20–44.
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Jedtke, E., Greefrath, G. (2019). A Computer-Based Learning Environment About Quadratic Functions with Different Kinds of Feedback: Pilot Study and Research Design. In: Aldon, G., Trgalová, J. (eds) Technology in Mathematics Teaching. Mathematics Education in the Digital Era, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-030-19741-4_13
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