Open ended problem solving in geometry revisited
DOI:
https://doi.org/10.7146/nomad.v9i3.147128Abstract
This article is a successor to Borgersen’s (1994) study of a project on cooperative problem solving in small groups, organized as part of a geometry course at the college level. It focuses on the effects of a gradual change of the project. This report studies the transition of the project from 1994 to 1996 (Borgersen 1995, 1997, 1999) as the course changed from being a medium size course for about thirty students from the same study program to become a large course for nearly one hundred students from three different study programs.
References
Bjuland, R. (1997). Problemløsningsprosesser i geometri. Lærerstudenters samarbeid i smågrupper. En dialogisk tilnærming. Master's degree thesis. Kristiansand: Agder University College.
Bjuland, R. (1998). Lærerstudenters matematiske tenkning og utvikling i en sosial kontekst. Problem-løsning i smågrupper. Nordisk matematikkdidaktikk, NOMAD, 6(2), 41-66.
Bjuland, R. (1999). Problem-solving processes in geometry. Teacher students' cooperation in small groups: A dialogical approach. In O. Zaslavsky (Ed.), Proceedings of the 23rd PME Conference (Vol 2, pp. 121-128). Haifa, Israel.
Bjuland, R. (2002). Problem solving in geometry. Reasoning processes of student teachers working in small groups: A dialogical approach. Published doctoral dissertation. Bergen: University of Bergen.
Borgersen, H.E. (1994). Open ended problem solving in geometry. Nordic Studies in Mathematics Education, NOMAD, 2(2), 6-35.
Borgersen, H.E. (1995). Open ended problem solving in geometry 1994. Publication series no. 1. Kristiansand:Agder University College.
Borgersen, H.E. (1997). Open ended problem solving in geometry 1995. One hundred students cooperating in small groups. Publication series no. 32. Kristiansand: Agder University College.
Borgersen, H.E. (1999). Open ended problem solving in geometry 1996. A large class of students cooperating in small groups. Publication series no. 61. Kristiansand: Agder University College.
Carlsen, M. (2002). Smågruppeundervisning i matematikk. Ei dialogisk tilnærming til samarbeid i ei gruppe av faglig sterke elever i videregående skole. Master's degree thesis. Kristiansand: Agder University College.
Cestari, M.L. (1997). Communication in mathematics classroom. A dialogical approach. Unpublished doctoral dissertation. Oslo: University of Oslo.
Cestari, M.L. (1998). Teacher-Student Communication in Traditional and Constructivist Approaches to Teaching. In M.B. Bussi, A. Sierpinska and H. Steinbring (Eds.), Language and Communication in the Mathematics Classroom (pp. 155-166). Reston, VA: NCTM.
Cestari, M.L. (2000). Opening the door of the mathematics classroom: Students wondering and reflecting. In B.K. Selvik, C. Kirfel and M. Johnsen Høines (Eds.), Matematikk i samfunnsmessig, historisk og kulturelt perspektiv (pp. 187-193). Skriftserien. Rapport nr. 2/2000. Bergen: Høgskolen i Bergen.
Davidson, N. A. (1990). Small-group cooperative learning in mathematics. In T.J. Cooney and C.J.Hirsch (Eds.), Teaching and learning in the 1990s (pp. 52-61), 1990 Yearbook. Reston, VA: NCTM.
Davidson, N.A, Reynolds,B.E. & Rogers, E.C. (2001). Introduction to Cooperative Learning in Undergraduate Mathematics. In E.C. Rogers, B.E. Reynolds, N.A Davidson and A.D. Thomas (Eds.), Cooperative Learning in Undergraduate Mathematics: Issues that matter and strategies that work (pp. 1-11). Washington, DC: The Mathematical Association of America.
Dahl, H. (1995). Teaching small groups at Agder College. Teaching and Learning Undergraduate Mathematics. Newsletter no. 2 from the Mathematical Association, UK.
Damsgaard, K. (1999). Læring av matematikk i sosiale sammenhenger. Master's degree thesis. Kristiansand: Agder University College.
Eriksen, S. (1999). Åpne oppgaver i skolen. Elevers dialog og læring i smågruppe- undervisning . Master degree thesis. Kristiansand: Agder University College.
Johnson, D.W. & Johnson, R. T. (1990). Using cooperative learning in math. In N. Davidson (Ed.), Cooperative learning in mathematics. A handbook for teachers (pp. 103-125). Menlo Park: Addison Wesley.
Lester, F.K. (1994). Musing about mathematical problem-solving research 1970-1994. Journal for Research in Mathematics Education, 25(16), 660- 675. https://doi.org/10.2307/749578
Mydland, O. (1998). Ansvar for egen læring i matematikk. En studie av en helhetlig læringsmodell brukt på ungdomsskoleelevers arbeid i geometri. Master's degree thesis. Kristiansand: Agder University College.
Polya, G. (1945). How to solve it. Princeton, NJ: Princeton University Press. https://doi.org/10.1515/9781400828678
Schoenfeld, A.H. (1985). Mathematical problem solving. Orlando, Fl: Academic Press.
Schoenfeld, A.H. (1992). Learning to Think Mathematically: Problem Solving, Metacognition and Sense Making in Mathematics. In D.A. Grouws (Ed.) Handbook for research on mathematics teaching and learning (pp. 334- 370). New York, NY: Macmillan.
Silver, E.A. (Ed.), (1985). Teaching and learning mathematical problem solving: Multiple research perspectives. Hillsdale, NJ: Lawrence Erlbaum Associates.
Stanic, G.M.A. & Kilpatrick, J. (1989). Historical Perspectives on Problem Solving in Mathematics Curriculum. In R.T. Charles and E.A. Silver (Eds). The Teaching and Assessing of Mathematical Problem Solving (pp. 1-22). Reston, VA: NCTM.
Weissglass, J. (1993). Small-group learning. American Mathematical Monthly, 100(7), 662-668. https://doi.org/10.1080/00029890.1993.11990468
Wrånes, B. (2003). Problemløsningsstrategier i geometri. Samarbeid mellom elever på 6.- 8. klassetrinn i en fådelt skole. En dialogisk tilnærming. Master's degree thesis. Kristiansand: Agder University College.
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