Matematikundervisning för begåvade elever – en forskningsöversikt
Abstract
Artikeln redovisar de huvudsakliga pedagogiska och organisatoriska metoder relaterade till begåvade elevers matematikundervisning som fokuseras i forskningslitteraturen – även könsskillnader, motivation och matematiskt begåvade elevers sociala situation i klassrummet diskuteras. Översikten visar att det finns åtgärder – tex frivillig acceleration i ämnet där undervisningen är anpassad till elevens förkunskaper och kapacitet eller arbete med utmanande uppgifter i prestationshomogena grupper – som antas ha goda effekter på begåvade elevers kunskapsutveckling i matematik. Analysen visar också att det kan uppfattas som problematiskt att vara begåvad i matematik samt att begåvade flickor upplever vissa aspekter av matematikundervisningen annorlunda jämfört med motsvarande grupp pojkar.
References
Ahrendt, M. H. (1953). Education of the mathematically gifted. The Phi Delta Kappan, 34 (7), 285-287, 292.
Bloom, B. S. (red.). (1985). Developing talent in young people. New York: Ballantine Books.
Boaler, J., Wiliam, D. & Brown, M. (2000). Students' experiences of ability grouping-disaffection, polarisation and the construction of failure. British Educational Research Journal, 26 (5), 631-648. https://doi.org/10.1080/713651583
Brandl, M. (2011). High attaining versus (highly) gifted pupils in mathematics: a theoretical concept and an empirical survey. I M. Pytlak, T. Rowland & E. Swoboda (red.), Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education (s 1044-1055). University of Rzeszow, Poland.
Calkins, M. W. (1894). A study of the mathematical consciousness. Educational Review, VIII, 269-286.
Chyriwsky, M. & Kennard, R. (1997). Attitudes to able children: a survey of mathematics teachers in English secondary schools. High Ability Studies, 8 (1), 47-59. https://doi.org/10.1080/1359813970080105
Coleman, L. J. & Cross, T. L. (2014). Is being gifted a social handicap? Journal for the Education of the Gifted, 37 (1), 5-17. https://doi.org/10.1177/0162353214521486
Csíkos, C. & Dobi, J. (2001). Matematikai nevelés [Matematisk uppfostran]. I Z. Báthory & I. Falus (red.), Tanulmányok a neveléstudomány köréből (s 354-372). Budapest: Osiris Kiadó.
Csikszentmihalyi, M. & Robinson, R. E. (1986). Culture, time and the development of talent. I R. J. Sternberg & J. E. Davidson (red.), Conceptions of giftedness (s 285-306). London: Cambridge University Press.
Dehaene, S. (1997). The number sense. New York: Oxford University Press.
Diezmann, C. M. & Watters, J. J. (2001). The collaboration of mathematically gifted students on challenging tasks. Journal for the Education of the Gifted, 25 (1), 7-31. https://doi.org/10.1177/016235320102500102
Dimitriadis, C. (2012). Provision for mathematically gifted children in primary schools: an investigation of four different methods of organizational provision. Educational Review, 64 (2), 241-260. https://doi.org/10.1080/00131911.2011.598920
Freeman, J. (2004). Cultural influences on gifted gender achievement. High Ability Studies, 15 (1), 7-23. https://doi.org/10.1080/1359813042000225311
George, W. C. (1976). Accelerating mathematics instruction for the mathematically talented. Gifted Child Quarterly, 20 (3), 246-261. https://doi.org/10.1177/001698627602000307
Graneheim, U. H. & Lundman, B. (2004). Qualitative content analysis in nursing research: concepts, procedures and measures to achieve trustworthiness. Nurse Education Today, 24 (2), 105-112. https://doi.org/10.1016/j.nedt.2003.10.001
Gyarmathy, E. (2013). The gifted and gifted education in Hungary. Journal for the Education of the Gifted, 36 (1), 19-43. https://doi.org/10.1177/0162353212471587
Heller, K. A. & Ziegler, A. (1996). Gender differences in mathematics and natural sciences: Can attributional retraining improve the performance of gifted females? Gifted Child Quarterly, 40 (4), 200-210. https://doi.org/10.1177/001698629604000405
Hong, E. & Aqui, Y. (2004). Cognitive and motivational characteristics of adolescents gifted in mathematics: comparisons among students with different types of giftedness. Gifted Child Quarterly, 48 (3), 191-201. https://doi.org/10.1177/001698620404800304
Hootstein, E. (1998). Differentiation of instructional methodologies in subject-based curricula at the secondary level. Richmond: Metropolitan Educational Research Consortium. Hämtad från http://eric.ed.gov/?id=ED427130
Hunt, B. (1996). The effect on mathematics achievement and attitude of homogeneous and heterogeneous grouping of gifted sixth-grade students. Journal of Advanced Academics, 8 (2), 65-73. https://doi.org/10.1177/1932202X9600800203
Händel, M., Vialle, W. & Ziegler, A. (2013). Student perceptions of high-achieving classmates. High Ability Studies, 24 (2), 99-114. https://doi.org/10.1080/13598139.2013.843139
Johnsen, S. K. & Kendrick, J. (red.) (2005). Math education for gifted students. Waco: Prufrock Press.
Juter, K. & Sriraman, B. (2011). Does high achieving in mathematics = gifted and/or creative in mathematics? I B. Sriraman & K. H. Lee (red.), The elements of creativity and giftedness in mathematics (s 45-66). Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6091-439-3_4
Karp, A. & Bengmark, S. (2011). Gifted education in Russia and the United States: personal notes. I B. Sriraman & K. H. Lee (red.), The elements of creativity and giftedness in mathematics (s 131-143). Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6091-439-3_9
Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago: The University of Chicago Press.
Leeuwen, T. van (2005). Introducing social semiotics. London: Routhledge. https://doi.org/10.4324/9780203647028
Leikin, M., Paz-Baruch, N. & Leikin, R. (2013). Memory abilities in generally gifted and excelling-in-mathematics adolescents. Intelligence, 41 (5), 566-578.
https://doi.org/10.1016/j.intell.2013.07.018
Leikin, R. (2010). Teaching the mathematically gifted. Gifted Education International, 27 (2), 161-175. https://doi.org/10.1177/026142941002700206
Leikin, R. (2014). Giftedness and high ability in mathematics. I S. Lerman (red.), Encyclopedia of Mathematics Education, (s 247-251). Dordrecht: Springer Netherlands. https://doi.org/10.1007/978-94-007-4978-8_65
Lester, F. K. & Schroeder, T. L. (1983). Cognitive characteristics of mathematically gifted children. Roeper Review, 5 (4), 26-28. https://doi.org/10.1080/02783198309552720
Li, A. K. F. & Adamson, G. (1992). Gifted secondary students' preferred learning style: cooperative, competitive, or individualistic? Journal for the Education of the Gifted, 16 (1), 46-54. https://doi.org/10.1177/016235329201600106
Mattsson, L. (2013). Tracking mathematical giftedness in an egalitarian context. Institutionen för matematiska vetenskaper, Göteborgs universitet.
Mönks, F. J. & Ypenburg, I. H. (2009). Att se och möta begåvade barn. Stockholm: Natur & Kultur.
Persson, R. (1997). Annorlunda land. Särbegåvningens psykologi. Stockholm: Almqvist & Wiksell.
Pettersson, E. (2011). Situationen för elever med särskilda matematiska förmågor. Institutionen för datavetenskap, fysik och matematik, Linnéuniversitetet.
Preckel, F., Götz, T. & Frenzel, A. (2010). Ability grouping of gifted students: effects on academic self-concept and boredom. British Journal of Educational Psychology, 80 (3), 451-472. https://doi.org/10.1348/000709909X480716
Reed, C. F. (2004). Mathematically gifted in the heterogeneously grouped mathematics classroom: What is a teacher to do? Journal of Advanced Academics, 15 (3), 89-95. https://doi.org/10.4219/jsge-2004-453
Renzulli, J. S. (1978). What makes giftedness? Reexamining a definition. The Phi Delta Kappan, 60 (3), 180-184, 261.
Robinson, A. (1990). Cooperation or exploitation? The argument against cooperative learning for talented students. Journal for the Education of the Gifted, 14(1), 9-27. https://doi.org/10.1177/016235329001400103
Rogers, B. K. (2007). Lessons learned about educating the gifted and talented: a synthesis of the research on educational practice. Gifted Child Quarterly, 51 (4), 382-396. https://doi.org/10.1177/0016986207306324
Rotiger, J. V. & Fello, S. (2005). Mathematically gifted students - how can we meet their needs? I S. K. Johnsen & J. Kendrick (red.), Math education for gifted students (s 3-13). Waco: Prufrock Press.
Shayshon, B., Gal, H., Tesler, B. & Ko, E. (2014). Teaching mathematically talented students: a cross-cultural study about their teachers' views. Educational Studies in Mathematics, 87 (3), 409-438. https://doi.org/10.1007/s10649-014-9568-9
Sheffield, L. (2003). Extending the challenge in mathematics. Thousand Oaks: Corwin Press.
Sheffield, L. (2015). Myths about "gifted" mathematics students: How widespread are they? I F. M. Singer, F. Toader & C. Voica (red.), Proceedings of the 9th International Conference of Mathematical Creativity and Giftedness (s. 114-119). Sinaia, Romania.
Schober, B., Reimann, R. & Wagner, P. (2004). Is research on gender-specific underachievement in gifted girls an obsolete topic? New findings on an often discussed issue. High Ability Studies, 15 (1), 43-62. https://doi.org/10.1080/1359813042000225339
Schumm, J. & Vaughn, S. (1991). Making adaptations for mainstreamed students: general classroom teachers' perspectives. Remedial and Special Education, 12 (4), 18-27. https://doi.org/10.1177/074193259101200404
Skolverket. (2015). Särskilt begåvade elever - stödmaterial. Hämtad från http://www.skolverket.se/skolutveckling/larande/sarskilt-begavade-elever-1.230661
Sowell, E. J. (1993). Programs for mathematically gifted students: a review of empirical research. Gifted Child Quarterly, 37 (3), 124-132. https://doi.org/10.1177/001698629303700305
Sriraman, B. & Lee, K. H. (red.) (2011). The elements of creativity and giftedness in mathematics. Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6091-439-3
Sternberg, R. J. (1998). Abilities are forms of developing expertise. Educational Researcher, 27 (3), 11-20. https://doi.org/10.2307/1176608
Stoeger, H. (2009). The history of giftedness research. I Shavinina L. (red.), International handbook on giftedness (s 17-38). New York: Springer. https://doi.org/10.1007/978-1-4020-6162-2_2
Stutler, S. L. (2005). Breaking down the barriers - adventures in teaching single-sex algebra classes. I S. K. Johnsen & J. Kendrick (red.), Math education for gifted students (s 93-103). Waco: Prufrock Press.
Swanson, H. L. & Jerman, O. (2006). Math disabilities: a selective metaanalysis of the literature. Review of Educational Research, 76 (2), 249-274. https://doi.org/10.3102/00346543076002249
Threlfall, J. & Hargreaves, M. (2008). The problem-solving methods of mathematically gifted and older average-attaining students. High Ability Studies, 19 (1), 83-98. https://doi.org/10.1080/13598130801990967
Tirri, K. & Kuusisto, E. (2013). How Finland serves gifted and talented pupils. Journal for the Education of the Gifted, 36 (1), 84-96. https://doi.org/10.1177/0162353212468066
Tretter, T. R. (2005). Gifted students speak - mathematical problem-solving insights. I S. K. Johnsen & J. Kendrick (red.), Math education for gifted students (s 119-143). Waco: Prufrock Press.
Tucker, B. F. (1982). Providing for the mathematically gifted child in the regular elementary classroom. Roeper Review, 4 (4), 11-12. https://doi.org/10.1080/02783198209552621
Webb, J.T., Amend, E. R., Webb, N. E., Goerss, J., Beljan, P. & Olenchak, F. R. (2005). Misdiagnosis and dual diagnosis of gifted children and adults: ADHD, bipolar, Asperger's, depression, and other disorders. Scottsdale: Great Potential Press.
Weinert, F. E. (Red.). (1998). Entwicklung im Kindesalter - Bericht über eine Längschnittstudie. Weinheim: Beltz.
Vlahovic-Stetic, V., Vizek Vidovic, V. & Arambasic, L. (1999). Motivational characteristics in mathematical achievement: a study of gifted high- achieving, gifted underachieving and non-gifted pupils. High Ability Studies, 10 (1), 37-49. https://doi.org/10.1080/1359813990100104
Ziegler, A. (2005). The actiotope model of giftedness. I R. J. Sternberg & J. E. Davidson (red.), Conceptions of giftedness (s 411-436). New York: Cambridge University Press. https://doi.org/10.1017/CBO9780511610455.024
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