Att utmana barns taluppfattning i en matematikaktivitet i förskolan
DOI:
https://doi.org/10.7146/nomad.v26i1.149151Abstract
Syftet med denna studie är att visa vad som görs möjligt att erfara om tal i en delningsaktivitet med två treåriga barn i förskola. Den specifika frågeställningen är: Vilka aspekter av tal framträder i en delningsaktivitet mellan lärare och treåringar? I en variationsteoretisk analys av observationer där lärare och barn samspelar i delningsaktiviteten visas hur innebörder av tal som är nödvändiga för att utveckla taluppfattning synliggörs i interaktionen. Analysen visar en progression i hur tal som avgränsad mängd, som en samling av objekt, som del-helhetsrelation samt representationer framträder och hur dessa aspekter blir möjliga att urskilja genom den interaktion som uppstår mellan lärare och barn, där gestaltningar som fingermönster och språk utgör resurser för lärandet.
References
Ahlberg, A. (1997). Children's ways of handling and experiencing numbers. Acta Universitatis Gothoburgensis.
Baroody, A. J. (1987). Children's mathematical thinking: a developmental framework for preschool, primary and special education teachers. Teachers College Press.
Baroody, A. J., Lai, M.-L. & Mix, K. (2006). The development of young children's early number and operation sense and its implication for early childhood education. In B. Spodek & O. N. Saracho (Eds.), Handbook of research on the education of young children (pp. 187-221). Lawrence Erlbaum.
Baroody, A. J. & Purpura, D. J. (2017). Early number and operations: whole numbers. In J. Cai (Eds.), Compendium for research in mathematics education. NCTM.
Björklund, C. (2012). What counts when working with mathematics in a toddler- group.Earlyyears,32(2),215-228. https://doi.org/10.1080/09575146.2011.652940
Björklund, C., Kullberg, A. & Runesson Kempe, U. (2019). Structuring versus counting - critical ways of using fingers in subtraction. ZDM, 51(1), 13-24. https://doi.org/10.1007/s11858-018-0962-0
Brissiaud, R. (1992). A tool for number construction: finger symbol sets. In J. Bideaud, C. Meljac & J. Fischer (Eds.), Pathways to number: children's developing numerical abilities (pp. 41-65). Lawrence Erlbaum.
Carpenter, T. P. & Moser, J. M. (1982). The development of addition and subtraction problem-solving skills. In T. P. Carpenter, J. M. Moser & T. A. Romberg (Eds.), Addition and subtraction: a cognitive perspective (pp. 9-24). Lawrence Erlbaum. https://doi.org/10.1201/9781003046585-2
Clements, D. (1999). Subitizing: What is it? Why teach it? Teaching Children Mathematics, 5 (7), 400-405. https://doi.org/10.5951/TCM.5.7.0400
Dehaene, S. (2007). A few steps toward a science of mental life. Mind Brain and Education, 1 (1), 28-49. https://doi.org/10.1111/j.1751-228X.2007.00003.x
Doverborg, E. & Pramling Samuelsson, I. (2011). Early mathematics in the preschool context. In N. Pramling & I. Pramling Samuelsson (Eds.), Educational encounters: Nordic studies in early childhood didactics (pp. 37-64). Springer. https://doi.org/10.1007/978-94-007-1617-9_3
Duncan, G. J., Dowsett, C. J., Claessens, A., Magnuson, K., Huston, A. et al. (2007). School readiness and later achievement. Developmental Psychology, 44 (1), 1428-1446. https://doi.org/10.1037/0012-1649.43.6.1428
Fuson, K. (1982). The number-word sequence: an overview of its acquisition and elaboration. Springer.
Fuson, K. (1988). Children's counting and concepts of number. Springer. https://doi.org/10.1007/978-1-4612-3754-9
Fuson, K. (1992). Relationships between counting and cardinality from age 2 to age 8. In J. Bideaud., C. Meljac. & J.-P. Fischer (Eds.), Pathways to number: children's developing numerical abilities (pp. 127-150). Lawrence Erlbaum.
Fuson, K. & Hall, J. (1983). The acquisition of early number word meanings: a conceptual analysis and review. In H. Ginsburg (Ed.), The development of mathematical thinking (pp. 49-107). Academic Press.
Gelman, R. & Gallistel, C. R. (1978). The child ́s understanding of number. Harvard University.
Hammersley, M. & Atkinson, P. (2007). Ethnography. Principles in practice (3rd ed.). Routledge. https://doi.org/10.1002/9781405165518.wbeose070
Hannula, M. M. (2005). Spontaneous focusing on numerosity in the development of early mathematical skills. Turun yliopisto.
Hannula, M. & Lehtinen, E. (2005). Spontaneous focusing on numerosity and mathematical skills of young children. Learning and Instruction, 15 (3), 237-256. https://doi.org/10.1016/j.learninstruc.2005.04.005
Heirdsfield, A. M. & Cooper, T. J. (2004). Factors affecting the process of proficient mental addition and subtraction: case studies of flexible and inflexible computers. Journal of Mathematical Behavior, 23 (4), 443-463. https://doi.org/10.1016/j.jmathb.2004.09.005
Hunting, R. P. (2003). Part-whole number knowledge in preschool children. Journal of Mathematical Behavior, 22 (3), 217-235. doi: 10. https://doi.org/10.1016/S0732-3123(03)00021-X
Kaufman, E. L., Lord, M. W., Reese, T. W. & Volkmann, J. (1949). The discrimination of visual number. American Journal of Psychology, 62 (4), 498-525. https://doi.org/10.2307/1418556
Lakoff, G. & Nuñez, R. (2000). Where mathematics comes from: how the embodied mind brings mathematics into being. Basic Books.
Marton, F. (2015). Necessary conditions of learning. Routledge. https://doi.org/10.4324/9781315816876
Marton, F. & Booth, S. (1997). Learning and awareness. Lawrence Erlbaum.
Marton, F. & Morris, P. (2002).(Eds.). What matters? Discovering critical conditions of classroom learning. Acta Universitatis Gothoburgensis.
Marton, F. & Pang, M. F. (2006). On some necessary conditions of learning. The Journal of the Learning Sciences, 15 (2), 193-220. https://doi.org/10.1207/s15327809jls1502_2
Marton, F., Runesson, U. & Tsui M. A. B. (2004). The space of learning. In F. Marton & A. B. Tsui (Eds.), Classroom discourse and the space of learning (pp. 3-36). Lawrence Erlbaum. https://doi.org/10.4324/9781410609762-7
McCrink, K. & Wynn, K. (2004). Large-number addition and subtraction by 9-month-old infants. Psychological Science, 15 (1), 776-781. https://doi.org/10.1111/j.0956-7976.2004.00755.x
Neuman, D. (1987). The origin of arithmetic skills. Acta Universitatis Gothoburgensis.
Neuman, D. (2013). Att ändra arbetssätt och kultur inom den inledande aritmetikundervisningen. Nordic Studies in Mathematics Education, 18 (2), 3-46.
Runesson, U. (1999). Variationens pedagogik - skilda sätt att behandla ett matematiskt innehåll. Acta Universitatis Gothoburgensis.
Runesson, U. (2006). What is it possible to learn? On variation as a necessary condition for learning. Scandinavian Journal of Educational Research, 44 (4), 397-410. https://doi.org/10.1080/00313830600823753
Sarnecka, B. W. & Carey, S. (2008). How counting represents number: what children must learn and when they learn it. Cognition, 108 (3), 662-674. https://doi.org/10.1016/j.cognition.2008.05.007
Vetenskapsrådet (2017). God forskningssed. Vetenskapsrådet. https:// publikationer.vr.se/produkt/god-forskningssed/
Vygotskij, L. S. (1978). Mind in society. The development of higher psychological processes. Harvard University Press.
Wynn, K. (1992). Children's acquisition of number words and the counting system. Cognitive Psychology, 24 (2), 220-251. https://doi.org/10.1016/0010-0285(92)90008-P
Wynn, K. (1998). Numerical competence in infants. In C. Donlan (Ed.), The development of mathematical skills (pp. 3-25). Psychology. https://doi.org/10.4324/9781315784755-2
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.