Cognitive Issues about Dealing
Certain features of preschoolers’ responses to questions such as “Is there a fair share ?”, when they had just apportioned a number of discrete items using a dealing strategy, seemed to me to require further investigation. After all, dealing is sufficient in itself to establish fair shares, and counting is not required. I was particularly interested in the question of whether the children in the study reported in Chapter 2 were aware that dealing was sufficient to ensure equality of shares and that counting after sharing is simply a checking procedure, or whether they indeed felt that counting, or some other check, was essential in determining a fair share.
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- Clements, M.A. and Lean, G.A. (1988). Discrete fraction concepts and cognitive structure. In A. Borbas (Ed.), Proceedings of the Twelfth Annual Conference of the International Study Group for the Psychology of Mathematics Education, Vol. 1, (pp. 215–222 ). Veszprem, Hungary: Hungarian National Centre for Education Technology.Google Scholar
- Gelman, R., & Gallistel, C.R. (1978). The child’s understanding of number. Cambridge MA: Harvard University Press.Google Scholar
- Lawson, M. J. (1987). Questions about metacognition. Australian Council for Educational Research Workshop on Metacognition.Google Scholar
- Miller, K. (1984). Child as the measurer of all things: measurement procedures and the development of quantitative concepts. In C. Sophian (Ed.), Origins of cognitive skills (pp 193–228 ). Hillsdale, NJ: Erlbaum.Google Scholar
- Penrose, R. (1989). Minds, machines and mathematics. In C. Blakemore and S. Greenfield (Eds.), Mindwaves (pp. 259–276 ). Oxford: Basil Blackwell.Google Scholar
- Penrose, R. (1990). The Emperor’s New Mind. London: Vintage.Google Scholar
- Pepper, K. L. (1991). The relationship between counting and sharing in discrete quantity settings. Masters thesis in preparation, La Trobe University.Google Scholar
- Steffe, L. P. (1988) Children’s construction of number sequences and multiplying schemes. In J. Hiebert and M. Behr (Eds), Number Concepts in the Middle Grades (pp 119–140 ). Reston VA: Lawrence Erlbaum Associates.Google Scholar