Research on mathematical beliefs – the birth and growth of the MAVI group in 1995–2012
DOI:
https://doi.org/10.7146/nomad.v17i3-4.148471Abstract
In the 1980s the meaning of beliefs for teaching and learning aroused also to the consciousness of mathematics educators. Therefore, here it is firstly sketched the research field of mathematical beliefs, in order to understand why belief research has been a topic for an international research group for more than 30 years. The aim of the paper is to have a look at the history of MAVI and to describe its development within the years 1995–2012. A special look is given at the birth of the MAVI group in the middle of the 1990s and then its development through the last 18 years will be described. Also some statistics on the MAVI meetings and their participants are presented. And in the appendix the total list of the MAVI proceedings is documented.
References
Abelson, R. (1979). Differences between belief systems and knowledge systems. Cognitive Science, 3, 355-366. https://doi.org/10.1016/S0364-0213(79)80013-0
Brophy, J. E. & Evertson, C. M. (1981). Student characteristics and teaching. New York: Longman.
Buchanan, N. K. (1987). Factors contributing to mathematical problem-solving performance: an exploratory study. Educational Studies in Mathematics, 18, 399-415. https://doi.org/10.1007/BF00240987
Ernest, P. (1991). The philosophy of mathematics education. Hampshire: Falmer Press.
Evans, J., Hannula, M., Philippou, G. Zan, R. (2003). Thematic working group 2: affect and mathematical thinking. In M. A. Mariotti (Ed.), Proceedings of CERME 3: Third conference of the European society for research in mathematics education, 28 February - 3 March 2003 in Bellaria, Italy. Retrieved April 25, 2013 from http://www.dm.unipi.it/%7Edidattica/CERME3/proceedings/tableofcontents_cerme3.html
Fennema, E. & Sherman, J. A. (1976). Fennema-Sherman mathematics attitudes scales. JSAS Catalog of Selected Documents in Psychology, 6 (31) (Ms. no. 1225).
Furinghetti, F. & Pehkonen, E. (2002). Rethinking characterizations of belief. In G. Leder, E. Pehkonen & G. Törner (Eds.), Beliefs: a hidden variable in mathematics education? (pp. 39-57). Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47958-3_3
Goldin, G. A. (2002). Affect, meta-affect, and mathematical belief structures. In G. Leder, E. Pehkonen & G. Törner (Eds.), Beliefs: a hidden variable in mathematics education? (pp. 59-72). Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47958-3_4
Green, T. F. (1971). The activities of teaching. Tokyo: McGraw-Hill Kogakusha. Grouws, D. A. (Ed.) (1992). Handbook of research on mathematics learning and teaching. New York: Macmillan.
Hannula, M. S. (2007). Finnish research on affect in mathematics: blended theories, mixed methods and some findings. ZDM. The International Journal on Mathematics Education, 39 (3), 197-203. https://doi.org/10.1007/s11858-007-0022-7
Hersh, R. (1997). What is mathematics, really? New York: Oxford University Press. https://doi.org/10.1515/dmvm-1998-0205
Leder, G., Pehkonen, E. & Törner, G. (Eds.). (2002). Beliefs: a hidden variable in mathematics education? Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47958-3
Lester, F. K., Garofalo, J. & Kroll, D. L. (1989). Self-confidence, interest, beliefs, and metacognition: key influences on problem solving behavior. In D. B. McLeod & V. M. Adams (Eds.), Affects and mathematical problem solving (pp. 75-88). New York: Springer-Verlag. https://doi.org/10.1007/978-1-4612-3614-6_6
McLeod, D. B. (1989). Beliefs, attitudes and emotions: new views of affect in mathematics education. In D. B. McLeod & V. M. Adams (Eds.), Affects and mathematical problem solving (pp. 245-258). New York: Springer-Verlag. https://doi.org/10.1007/978-1-4612-3614-6_17
McLeod, D. B. (1992). Research on affect in mathematics education: a reconceptualization. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 575-596). New York: MacMillan.
McLeod, D. B. & Adams, V. M. (Eds.). (1989). Affects and mathematical problem solving. New York: Springer-Verlag. https://doi.org/10.1007/978-1-4612-3614-6
Mura, R. (1993). Images of mathematics held by university teachers of mathematical sciences. Educational Studies in Mathematics, 25(4), 375-385. https://doi.org/10.1007/BF01273907
Op't Eynde, P., De Corte, E. & Verschaffel, L. (2002). Framing students' mathematics-related beliefs: a quest for conceptual clarity and a comprehensive categorization. In G. Leder, E. Pehkonen & G. Törner (Eds), Beliefs: a hidden variable in mathematics education? (pp. 13-37). Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47958-3_2
Pajares, M. F. (1992). Teachers' beliefs and educational research: cleaning up a messy construct. Review of Educational Research, 62 (3), 307-332. https://doi.org/10.3102/00346543062003307
Pehkonen, E. (1991). Developments in the understanding of problem solving. International Reviews on Mathematical Education, 23 (2), 46-50.
Pehkonen, E. (1994). On teachers' beliefs and changing mathematics teaching. Journal für Mathematik-Didaktik, 15 (3/4), 177-209. https://doi.org/10.1007/BF03338807
Pehkonen, E. (1998). On the concept "mathematical belief". In E. Pehkonen & G. Törner (Eds.), The state-of-art in mathematics-related belief research. Results of the MAVI activities (Research Report 195)(pp. 37-72). Department of Teacher Education, University of Helsinki.
Pehkonen, E. (2004). State-of-the-art in mathematical beliefs research. In M. Niss (Ed.), Proceedings of the 10th International Congress on Mathematical Education. Roskilde University.
Pehkonen, E. & Pietilä, A. (2003). On relationships between beliefs and knowledge in mathematics education. In J. Evans et al. (Eds), Proceedings of the CERME-3 conference in Bellaria (Italy) in March 2003. University of Pisa.
Pehkonen, E. & Törner, G. (1996). Mathematical beliefs and different aspects of their meaning. International Reviews on Mathematical Education, 28 (4), 101-108.
Pehkonen, E. & Törner, G. (Eds.). (1998). The state-of-art in mathematics- related belief research. Results of the MAVI activities (Research Report 195). Department of Teacher Education, University of Helsinki.
Philipp, R. A. (2007). Mathematics teachers' beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257-315). Charlotte: NCTM/ Information Age Publishing.
Rösken, B., Törner, G. & Pepin, B. (Eds.). (2011). Beliefs and beyond: affecting the teaching and learning of mathematics. ZDM. The International Journal on Mathematics Education, 43 (5). https://doi.org/10.1007/s11858-011-0354-1
Schoenfeld A. H. (1983). Beyond the purely cognitive: beliefs systems, social cognitions, and metacognitions as driving forces in intellectual performance. Cognitive Science, 7 (4), 329-363. https://doi.org/10.1016/S0364-0213(83)80003-2
Schoenfeld, A. H. (1987). What's all the fuss about metacognition? In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 189-215). Hillsdale: Lawrence Erlbaum Associates.
Schoenfeld, A. H. (1989). Explorations of students' mathematical beliefs and behavior. Journal for Research in Mathematics Education, 20 (4), 338-355. https://doi.org/10.2307/749440
Schoenfeld, A. H. (1992). Learning to think mathematically: problem solving, meta-cognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics learning and teaching (pp. 334-370). New York: Macmillan.
Schoenfeld, A. H. (1998). Toward a theory of teaching-in-context. Issues in Education, 4 (1), 1-94. https://doi.org/10.1016/S1080-9724(99)80076-7
Silver, E. A. (1982). Knowledge organization and mathematical problem solving. In F. K. Lester & J. Garofalo (Eds.), Mathematical problem solving: issues in research (pp. 15-25). Philadelphia: The Franklin Institute Press.
Thompson, A. G. (1992). Teachers' beliefs and conceptions: a synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics learning and teaching (pp. 127-146). New York: Macmillan.
Törner, G. & Grigutsch, S. (1994). Mathematische Weltbilder bei Studienanfängern eine Erhebung. Journal für Mathematik-Didaktik, 15 (3/4), 211-251. https://doi.org/10.1007/BF03338808
Törner, G. & Pehkonen, E. (Eds.). (1996). Literature on mathematical beliefs. Schriftenreihe des Fachbereichs Mathematik (Preprint nr. 341). Gerhard- Mercator-Universität Duisburg Gesamthochschule.
Underhill, R. G. (1988a). Mathematics learners' beliefs: a review. Focus on Learning Problems in Mathematics, 10 (1), 55-69.
Underhill, R. G. (1988b). Mathematics teachers' beliefs: review and reflections. Focus on Learning Problems in Mathematics, 10(3), 43-58.
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