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5 - Cognitive change as strategy change

Published online by Cambridge University Press:  22 September 2009

By
Joke Torbeyns ,
Laurence Arnaud ,
Patrick Lemaire  and
Lieven Verschaffel
Edited by
Andreas Demetriou  and
Athanassios Raftopoulos
Joke Torbeyns
Affiliation:
Catholic University of Leuven, Center for Instructional Psychology and Technology, Belgium
Laurence Arnaud
Affiliation:
LPC-CNRS and Université de Provence, France
Patrick Lemaire
Affiliation:
LPC-CNRS and Université de Provence, France
Lieven Verschaffel
Affiliation:
Catholic University of Leuven, Center for Instructional Psychology and Technology, Leuven
Andreas Demetriou
Affiliation:
University of Cyprus
Athanassios Raftopoulos
Affiliation:
University of Cyprus
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Summary

The goal of this chapter is to epitomize the contribution of the information-processing perspective to cognitive development. A key feature of this perspective is its focus on (changes in) mental structures and processes that help us understand (changes in) cognitive performance. In the first section of the chapter we examine several theoretical and methodological issues that the information-processing perspective of cognitive development has made important to address. We begin with a brief discussion of the conceptual framework of Siegler and collaborators as a prototypical example of this perspective. The overlapping waves theory (Siegler 1996, 2000), the model of strategy change (Lemaire and Siegler 1995) and the strategy choice and discovery simulation (Shrager and Siegler 1998) are presented. In the second part of the first section we discuss two research methods and tools that are typical for the information-processing perspective on human learning and development, namely the microgenetic method (Siegler and Crowley 1991), and the choice/no-choice method (Siegler and Lemaire 1997). In the second section the above-mentioned theoretical and methodological approaches are exemplified by means of two recent studies. The first study (Chen and Siegler 2000) illustrates how the microgenetic method can be applied successfully to study changes in toddlers' strategy use in the domain of problem solving. The second study (Lemaire and Lecacheur 2002a) deals with changes in children's and adults' strategy characteristics in the domain of computational estimation, using the choice/no-choice method.

Type
Chapter
Information
Cognitive Developmental Change
Theories, Models and Measurement
 , pp. 186 - 216
Publisher: Cambridge University Press
Print publication year: 2005

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References

Ashcraft, M. H. (1995). Cognitive psychology and simple arithmetic: a review and summary of new directions. Mathematical Cognition, 1, 3–34Google Scholar
Bestgen, B. J., Reys, R. E., Rybolt, J. F. and Wyatt, J. W. (1980). Effectiveness of systematic instruction on attitudes and computational skills of preservice elementary teachers. Journal for Research in Mathematics Education, 2, 124–35CrossRefGoogle Scholar
Bisanz, J. and LeFevre, J. A. (1990). Strategic and nonstrategic processing in the development of mathematical cognition. In D. F. Bjorklund (ed.) Children's strategies: contemporary views of cognitive development. Hillsdale, NJ: Lawrence Erlbaum Associates
Bjorklund, D. F. and Rosenblum, K. E. (2001). Children's use of multiple and variable addition strategies in a game context. Developmental Science, 4, 184–94CrossRefGoogle Scholar
Carpenter, T. P., Coburn, T. G., Reys, R. E. and Wislon, J. W. (1976). Notes on national assessment: estimation. Arithmetic Teacher, 23, 296–301Google Scholar
Case, R., Okamoto, Y., Griffin, S., McKeough, A., Bleiker, C., Henderson, B. and Stephenson, K. M. (1996). The role of central conceptual structures in the development of children's thought. Monographs of the Society for Research in Child Development, 61 (1–2, serial no. 246)CrossRef
Chen, Z. and Siegler, R. S. (2000). Across the great divide: bridging the gap between understanding of toddlers' and older children's thinking. Monographs of the Society for Research in Child Development, 65 (2, serial no 261)
Crowley, K., Shrager, J. and Siegler, R. S. (1997). Strategy discovery as a competitive negotiation between metacognitive and associative mechanisms. Developmental Review, 17, 462–89CrossRefGoogle Scholar
De Corte, E., Greer, B. and Verschaffel, L. (1996). Mathematics teaching and learning. In D. C. Berliner and R. C. Calfee (eds.) Handbook of educational psychology (pp. 491–549). New York: Macmillan
Dehaene, S., Spelke, E., Pinel, P., Stanescu, R. and Tsivkin, S. (1999). Sources of mathematical thinking: behavioural and brain-imaging evidence. Science, 284, 970–3CrossRefGoogle ScholarPubMed
Demetriou, A., Christou, C., Spanoudis, G. and Platsidou, G. (2002). The development of mental processing: efficiency, working memory, and thinking. Monographs of the Society for Research in Child Development, 67 (serial no. 268)
Demetriou, A., Efklides, A. and Platsidou, M. (1993). The architecture and dynamics of developing mind: experiential structuralism as a frame for unifying cognitive developmental theories. Monographs of the Society for Research in Child Development, 58 (5–6, serial no. 234)CrossRef
De Rammelaere, S., Duverne, S., Lemaire, P. and Vandierendonck, A. (2003). The role of working-memory in simple and complex arithmetic verification problems. Manuscript submitted for publication
Flavell, J. H., Miller, P. H. and Miller, S. A. (1993). Cognitive development (3rd edn). Upper Saddle River, NJ: Prentice-Hall, Inc
Geary, D. C. (1996). The problem-size effect in mental addition: developmental and cross-national trends. Mathematical Cognition, 2, 63–93CrossRefGoogle Scholar
Geary, D. C. and Brown, S. C. (1991). Cognitive addition: strategy choice and speed-of-processing differences in gifted, normal and mathematically disabled children. Developmental Psychology, 27, 398–406CrossRefGoogle Scholar
Granott, N. (1998). A paradigm shift in the study of development: essay review of Emerging minds by R. S. Siegler. Human Development, 41, 360–5CrossRefGoogle Scholar
Greeno, J. G., Collins, A. M. and Resnick, L. (1996). Cognition and learning. In D. C. Berliner and R. C. Calfee (eds.) Handbook of educational psychology (pp. 15–46). New York: Macmillan
Greer, B. and Verschaffel, L. (1990). Introduction to the special issue on mathematics education as a proving-ground for information-processing theories. International Journal of Educational Research, 14, 3–12CrossRefGoogle Scholar
Halford, G. S., Wilson, W. H. and Phillips, S. (1998). Processing capacity defined by relational complexity: implications for comparative, developmental, and cognitive psychology. Behavioral and Brain Sciences, 21, 803–64CrossRefGoogle ScholarPubMed
Imbo, I., Duverne, S. and Lemaire, P. (2003). Effects of working memory on strategic aspects of cognitive performance: insights from arithmetic computational estimation. Manuscript submitted for publication
Kail, R. (1996). Information-processing theories of human development. In E. De Corte and F. E. Weinert (eds.) International encyclopedia of developmental and instructional psychology (pp. 92–7). Oxford, England: Pergamon Press
Karmiloff-Smith, A. (1992). Beyond modularity: a developmental perspective on cognitive science. Cambridge, MA: MIT Press
Klahr, D. and MacWhinney, B. (1998). Information processing. In D. Kuhn and R. S. Siegler (eds.) W. Damon (series ed.), Handbook of child psychology: volume 2. Cognition, perception, and language (5th edn, pp. 631–78). New York: Wiley
Kuhn, D. (1995). Microgenetic study of change: what has it told us? Psychological Science, 6, 133–9CrossRefGoogle Scholar
Kuhn, D., Amsel, E. and O'Loughlin, M. (1988). The development of scientific thinking skills. San Diego: Academic Press
Kuhn, D., Garcia-Mila, M., Zohar, A. and Andersen, C. (1995). Strategies of knowledge acquisition. Monographs of the Society for Research in Child Development, 60 (serial no. 245)CrossRef
Kuhn, D., Schauble, L. and Garcia-Mila, M. (1992). Cross-domain development of scientific reasoning. Cognition and Instruction, 9, 285–327CrossRefGoogle Scholar
LeFevre, J. A., Greenham, S. L. and Waheed, N. (1993). The development of procedural and conceptual knowledge in computational estimation. Cognition and Instruction, 11, 95–132CrossRefGoogle Scholar
Lemaire, P., Barrett, S. E., Fayol, M. and Abdi, H. (1994). Automatic activation of addition and multiplication facts in elementary school children. Journal of Experimental Child Psychology, 57, 224–58CrossRefGoogle Scholar
Lemaire, P. and Lecacheur, M. (2001a). Older and younger adults' strategy use and execution in currency conversion tasks: insights from French franc to euro and euro to French franc conversions. Journal of Experimental Psychology: Applied, 7, 195–206Google Scholar
Lemaire, P. (2001b, August). Strategic change in children's computational estimation. Paper presented in a symposium on ‘Strategy changes and strategy choices in children's and adults’ mathematical thinking: theoretical and methodological contributions' at the 9th Conference of the European Association for Research on Learning and Instruction, Fribourg, Switzerland
Lemaire, P. (2002a). Children's strategies in computational estimation. Journal of Experimental Child Psychology, 82, 281–304CrossRefGoogle Scholar
Lemaire, P. (2002b). Applying the choice/no-choice methodology: the case of children's strategy use in spelling. Developmental Science, 5, 42–7CrossRefGoogle Scholar
Lemaire, P., Lecacheur, M. and Farioli, F. (2000). Children's strategies in computational estimation. Canadian Journal of Experimental Psychology, 54, 141–8CrossRefGoogle ScholarPubMed
Lemaire, P. and Reder, L. (1999). What affects strategy selection in arithmetic? The example of parity and five effects on product verification. Memory and Cognition, 27, 364–82CrossRefGoogle Scholar
Lemaire, P. and Siegler, R. S. (1995). Four aspects of strategic change: contributions to children's learning of multiplication. Journal of Experimental Psychology: General, 124, 83–97CrossRefGoogle ScholarPubMed
Luwel, K., Verschaffel, L., Onghena, P. and Corte, E. (2003). Analyzing the adaptiveness of strategy choices using the choice/no-choice method: the case of numerosity judgement. European Journal of Cognitive Psychology, 15, 511–37CrossRefGoogle Scholar
Miller, P. H. and Coyle, T. R. (1999). Developmental change: lessons from microgenesis. In E. K. Scholnick, K. Nelson, S. A. Gelman and P. H. Miller (eds.) Conceptual development: Piaget's legacy (pp. 209–39). Mahwah, NJ: Erlbaum
Rittle-Johnson, B. and Siegler, R. S. (1999). Learning to spell: variability, choice, and change in children's strategy use. Child Development, 70, 332–48CrossRefGoogle ScholarPubMed
Rubenstein, R. N. (1985). Computational estimation and related mathematical skills. Journal for Research in Mathematics Education, 16, 106–19CrossRefGoogle Scholar
Shrager, J. and Siegler, R. S. (1998). SCADS: a model of children's strategy choices and strategy discoveries. Psychological Sciences, 9, 405–10CrossRefGoogle Scholar
Siegler, R. S. (1986). Unities across domains in children's strategy choices. In M. Perlmutter (ed.) Perspectives on intellectual development: the Minnesota symposia on child psychology (vol. 19, pp. 1–48). Hillsdale, NJ: Erlbaum
Siegler, R. S. (1987). Some general conclusions about children's strategy choice procedures. International Journal of Psychology, 22, 729–49CrossRefGoogle Scholar
Siegler, R. S. (1991). Strategy choice and strategy discovery. Learning and Instruction, 1, 89–102CrossRefGoogle Scholar
Siegler, R. S. (1995). How does change occur: a microgenetic study of number conservation. Cognitive Psychology, 25, 225–73CrossRefGoogle Scholar
Siegler, R. S. (1996). Emerging minds. New York: Oxford University Press
Siegler, R. S. (1998). Children's thinking. New Jersey: Prentice Hall
Siegler, R. S. (2000). The rebirth of children's learning. Child Development, 71, 26–35CrossRefGoogle ScholarPubMed
Siegler, R. S. (2001). Children's discoveries and brain-damaged patients' rediscoveries. In J. L. McClelland and R. S. Siegler (eds.) Mechanisms of cognitive development. Behavioral and neural perspectives (pp. 33–63). Mahwah, NJ: Erlbaum
Siegler, R. S. and Chen, Z. (1998). Developmental differences in rule-learning: a microgenetic analysis. Cognitive Psychology, 36, 273–310CrossRefGoogle ScholarPubMed
Siegler, R. S. and Crowley, K. (1991). The microgenetic method: a direct means for studying cognitive development. American Psychologist, 46, 606–20CrossRefGoogle ScholarPubMed
Siegler, R. S. and Jenkins, E. A. (1989). How children discover new strategies. Hillsdale, NJ: Erlbaum
Siegler, R. S. and Lemaire, P. (1997). Older and younger adults' strategy choices in multiplication: testing predictions of ASCM using the choice/no-choice method. Journal of Experimental Psychology: General, 126, 71–92CrossRefGoogle ScholarPubMed
Siegler, R. S. and Shipley, C. (1995). Variation, selection and cognitive change. In T. Simon and G. Halford (eds.) Developing cognitive competence: new approaches to process modelling (pp. 31–76). Hillsdale, NJ: Erlbaum
Siegler, R. S. and Shrager, J. (1984). Strategy choices in addition and subtraction: how do children know what to do? In C. Sophian (ed.) Origins of cognitive skills. Hillsdale, NJ: Erlbaum
Siegler, R. S. and Stern, E. (1998). Conscious and unconscious strategy discoveries: a microgenetic analysis. Journal of Experimental Psychology: General, 127, 377–97CrossRefGoogle ScholarPubMed
Sowder, J. T. (1988). Mental computation and number comparison: their roles in the development of number sense and computational estimation. In J. Hebert and M. Behr (eds.) Number concepts and operations in the middle grades (pp. 182–97). Hillsdale, NJ: Lawrence Erlbaum
Sowder, J. T. (1992). Estimation and related topics. In D. A. Grouws (ed.) Handbook of research on teaching and learning. New York: Macmillan
Sowder, J. T. and Wheeler, M. M. (1989). The development of concepts and strategies used in computational estimation. Journal for Research in Mathematics Education, 20, 130–46CrossRefGoogle Scholar
Torbeyns, J., Verschaffel, L. and Ghesquière, P. (2002). Strategic competence: applying Siegler's theoretical and methodological framework to the domain of simple addition. European Journal of Psychology of Education, 17, 275–91CrossRefGoogle Scholar
Torbeyns, J. (2004a). Strategic aspects of simple addition and subtraction: the influence of mathematical ability. Learning and Instruction, 14, 177–95CrossRefGoogle Scholar
Torbeyns, J. (2004b). Strategy development in children with mathematical disabilities: insights from the choice/no-choice method and the chronological-age/ ability-level-match design. Journal of Learning Disabilities, 37, 119–31CrossRefGoogle Scholar
Trafton, P. R. (1978). Estimation and mental arithmetic: important components of computation. In M. N. Suydam and R. E. Reys (eds.) Developing computational skills. Reston, VA: National Council of Teachers of Mathematics
Geert, P. (1998). A dynamic systems model of basic developmental mechanisms: Piaget, Vygotsky, and beyond. Psychological Review, 105, 634–77CrossRefGoogle Scholar

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