Udvikling af matematisk ræsonnementskompetence gennem brætspillet Othello
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Nøgleord

Othello
Mellemtrinnet
Matematik
Kompetenceudvikling

Citation/Eksport

Nehammer, E. M. H., Eriksen, A. L., & Jensen, E. O. (2024). Udvikling af matematisk ræsonnementskompetence gennem brætspillet Othello. MONA - Matematik- Og Naturfagsdidaktik, 24(3), 21. https://doi.org/10.7146/mona.v24i3.149011

Resumé

Denne artikel undersøger integrationen af strategiske og kombinatoriske brætspil, såsom Othello, i matematikundervisningen ved anvendelse af fire designprincipper som sigter mod at styrke mellemtrinselevers matematiske ræsonnementskompetence. Artiklen fokuserer på en intervention i en 5. klasse. Det beskrives hvordan elevernes engagement i “undersøgende dialog” under Othello-relaterede aktiviteter kan skabe en platform der giver dem mulighed for at øve sig i at fremsætte matematiske ræsonnementer af både processuel og strukturel karakter. Artiklen konkluderer at sådanne aktiviteter kan bidrage positivt til udviklingen af elevers ræsonnementskompetence.

https://doi.org/10.7146/mona.v24i3.149011
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Referencer

Berkman, R.M. (2004). The Chess and Mathematics Connection: More Than Just a Game. Mathematics Teaching in the Middle School, 9(5), 246‑250. https://doi.org/10.5951/MTMS.9.5.0246

Berthold, V., Aagaard-Hansen, J., Gadegaard, I. & Bjarning, M. (2020). Brug af spil i matematikundervisningen 2. Matematik, 48(5), 28‑33.

Bjarning, M., Gadegaard, I., Berthold, V. & Aagaard-Hansen, J. (2020). Brug af spil i matematikundervisningen 1 – brætspillet, Othello, som praksiseksempel. Matematik, 48(4), 22‑26.

Blomhøj, M. (2017). Fagdidaktik i matematik. Frydenlund.

Boell, S.K. & Cecez-Kecmanovic, D. (2014). A Hermeneutic Approach for Conducting Literature Reviews and Literature Searches. Communications of the Association for Information Systems, 34(1), 257‑286. https://doi.org/10.17705/1CAIS.03412

Bright, G.W., Harvey, J.G & Wheeler, M.M. (1983). Use of a Game to Instruct on Logical Reasoning. School Science and Mathematics, 83(5), 396‑405. https://doi.org/10.1111/j.1949‑8594.1983. tb15526.x

Brousseau, G. (1997). Theory of Didactical Situations in Mathematics. Kluwer Academic Publishers.

Børne- og Undervisningsministeriet. (2019). Matematik – Fælles Mål. Børne- og Undervisningsministeriet.

Dansk Othello Forbund. (2018). Greve Othello Forening. http://www.othello.dk/index.php/klubber/8-greve-othello-forening

Dawkins, P.C. & Karunakaran, S.S. (2016). Why Research on Proof-Oriented Mathematical Behavior Should Attend to the Role of Particular Mathematical Content. The Journal of Mathematical Behavior, 44, 65‑75. https://doi.org/10.1016/j.jmathb.2016.10.003

Day, L. (2014). Australian Curriculum Linked Lessons: Reasoning in Number and Algebra. Australian Primary Mathematics Classroom, 19(3), 16‑19. https://researchonline.nd.edu.au/edu_article/151/

delMas, R.C. (2004). A Comparison of Mathematical and Statistical Reasoning. I: D. Ben-Zvi & J. Garfield (red.), The Challenge of Developing Statistical Literacy, Reasoning and Thinking (s. 79‑96). Kluwer Academic Publishers.

Díez-Palomar, J. & Olivé, J.C. (2015). Using Dialogic Talk to Teach Mathematics: The Case of Interactive Groups. ZDM, 47(7), 1299‑1312. https://doi.org/10.1007/s11858‑015‑0728-x

Ferrini-Mundy, J. (2000). Principles and Standards for School Mathematics: A Guide for Mathematicians. Notices of the American Mathematical Society, 47(8), 868‑876. https://www.ams. org/notices/200008/comm-ferrini.pdf

Fraenkel, A.S. (2012). Combinatorial Games: Selected Bibliography with a Succinct Gourmet Introduction. The Electronic Journal of Combinatorics. https://www.wisdom.weizmann.ac.il/~fraenkel/Papers/gb.pdf

Goffman, E. (1961). Encounters: Two Studies in the Sociology of Interaction. Ravenio Books.

Hanghøj, T., Händel, V.D., Duedahl, T.V. & Gundersen, P.B. (2022). Exploring the Messiness of Design Principles in Design-Based Research. Nordic Journal of Digital Literacy, 17(4), 222‑233. https://doi.org/10.18261/njdl.17.4.3

Hansen, T.I., Elf, N.F., Misfeldt, M., Gissel, S.T. & Lindhardt, B.K. (2020). Kvalitet i dansk og matematik – et lodtrækningsforsøg med fokus på undersøgelsesorienteret dansk- og matematikundervisning. https://laeremiddel.dk/wp-content/uploads/2020/01/Slutrapport-Kvalitet-idansk-og-matematik.pdf

Houssart, J. & Sams, C. (2008). Developing Mathematical Reasoning through Games of Strategy Played against the Computer. International Journal for Technology in Mathematics Education, 15(2), 59‑71. https://eric.ed.gov/?id=EJ837647

Højgaard, T. & Arnt, N.W. (2021). Facilitering af kompetenceorienteret matematikundervisning – erfaringer med kommunalt forankret, skolebaseret udvikling af lærerkompetencer. MONA, 2021(1), 50‑68. https://tidsskrift.dk/mona/article/view/125072/171872

Jeannotte, D. & Kieran, C. (2017). A Conceptual Model of Mathematical Reasoning for School Mathematics. Educational Studies in Mathematics, 96(1), 1‑16. https://doi.org/10.1007/s10649‑017‑9761‑8

Jensen, E.O. (2022). Brætspil i matematikundervisningen. I: S.S. Fougt, J. Bundsgaard, T. Hanghøj & M. Misfeldt (red.), Håndbog i Scenariedidaktik (s. 190‑202). Aarhus Universitetsforlag.

Jensen, E.O. & Skott, C.K. (2022). How Can the Use of Digital Games in Mathematics Education Promote Students’ Mathematical Reasoning? A Qualitative Systematic Review. Digital Experiences in Mathematics Education, 8(2), 183‑212. https://doi.org/10.1007/s40751‑022‑00100‑7

Larsen, D.M. (2019). Developing Reasoning Competence in Inquiry-Based Mathematics Teaching. Syddansk Universitetsforlag.

Larsen, D.M. & Lindhardt, B.K. (2019). Undersøgende aktiviteter og ræsonnementer i matematikundervisningen på mellemtrinnet. MONA, 2019(1), 7‑21. https://tidsskrift.dk/mona/article/view/112811/161536

Lindhart L., Ejdrup, F. & Skipper-Jørgensen, A. (2010). Ræsonnementer i folkeskolens matematikundervisning – karakterisering, initiering, identificering og vurdering af ræsonnementskompetencen. MONA, 2010(4), 7‑24. https://tidsskrift.dk/mona/article/download/36139/37487/81638

Lithner, J. (2008). A Research Framework for Creative and Imitative Reasoning. Educational Studies in Mathematics, 67, 255‑276. https://doi.org/10.1007/s10649‑007‑9104‑2

Mason, J., Burton, L. & Stacey, K. (1982). Thinking Mathematically. Addison-Wesley.

Mason, J. (2002). Questions about Mathematical Reasoning and Proof in Schools. I: Abramsky, J. (red.), Reasoning, Explanation and Proof in School Mathematics and Their Place in the Intended Curriculum. QCA Publications.

McFeetors, P.J. & Palfy, K. (2018). Educative Experiences in a Games Context: Supporting Emerging Reasoning in Elementary School Mathematics. The Journal of Mathematical Behavior, 50, 103‑125. https://doi.org/10.1016/j.jmathb.2018.02.003

Mechner, F. (2010). Chess as a Behavioral Model for Cognitive Skill Research: Review of Blindfold Chess by Eliot Hearst and John Knott. Journal of the Experimental Analysis of Behavior, 94(3), 373‑386. https://doi.org/10.1901/jeab.2010.94‑373

Mercer, N. & Wegerif, R. (1999). Children’s Talk and the Development of Reasoning in the Classroom. British Educational Research Journal, 25(1), 95‑111. https://doi.org/10.1080/0141192990250107

Mosimege, M.D. (1998). Culture, Games and Mathematics Education: An Exploration Based on String Games. I: A. Olivier & K. Newstead (red.), Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education (s. 286‑293). University of Stellenbosch.

NGA Center & CCSSO. (2010). Common Core State Standards for Mathematics. NGA Center & CCSSO (National Governors Association Center for Best Practices & Council of Chief State School Officers).

Niss, M. & Jensen, T.H. (2002). Kompetencer og matematiklæring – idéer og inspiration til udvikling af matematikundervisning i Danmark. Undervisningsministeriet.

Olson, J.C. (2007). Developing Students’ Mathematical Reasoning through Games. Teaching Children Mathematics, 13(9), 464‑471. https://doi.org/10.5951/TCM.13.9.0464

Rosholm, M., Mikkelsen, M. & Gumede, K. (2017). Your Move: The Effect of Chess on Mathematics Test Scores. PLOS One, 12(5), 1‑18. https://doi.org/10.1371/journal.pone.0177257

Sala, G. & Gobet, F. (2015). Do the Benefits of Chess Instruction Transfer to Academic and Cognitive Skills? A Meta-Analysis. Educational Research Review, 18, 46‑57. https://doi.org/10.1016/j. edurev.2016.02.002

Schoenfeld, A.H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196(2), 1‑38. https://doi.org/10.1177/002205741619600202

Stylianides, A.J. (2007). The Notion of Proof in the Context of Elementary School Mathematics. Educational Studies in Mathematics, 65, 1‑20. https://doi.org/10.1007/s10649‑006‑9038‑0

Stylianides, G.J. & Stylianides, A.J. (2008). Proof in School Mathematics: Insights from Psychological Research into Students’ Ability for Deductive Reasoning. Mathematical Thinking and Learning, 10(2), 103‑133. https://doi.org/10.1080/10986060701854425

Whitenack, J. & Yackel, E. (2002). Making Mathematical Arguments in the Primary Grades: The Importance of Explaining and Justifying Ideas. Teaching Children Mathematics, 8(9), 524‑527. https://doi.org/10.5951/TCM.8.9.0524