Skip to main content

Structural Measurement Theory and Cognitive Development

  • Chapter
Formal Methods in Developmental Psychology

Part of the book series: Springer Series in Cognitive Development ((2116))

Abstract

The overriding function of scientific theories is to reduce uncertainty about the world we live in by explaining how things work. A basic dilemma in psychological theories, probably the most basic dilemma of all, is that we do not possess what is sometimes called fundamental measurement control over the constructs that we use to explain behavior. On one hand, we regularly resort to notions such as short-term memory capacity, retrieval from long-term memory, attitudes, hypotheses, rule knowledge, preference, attention, motivation, intelligence, and the like when formulating explanations. On the other hand, these notions are not amenable to physical measurement operations such as weighing and counting. They lie somewhere in the uncharted region between true physical reality and metaphysical speculation. Consequently, we are not certain of how to go about quantifying them through experimentation. Here, a familiar catechism is that the most that can defensibly be assumed is that data are related to psychological constructs by unknown but order-preserving transformations. This is the familiar monotonicity constraint on the measurement of psychological constructs. To take a hoary instance, while we can presumably say that a person with a Stanford-Binet IQ of 150 is at least as intelligent as a person with a Stanford-Binet IQ of 100, we cannot say much more than this. And we certainly cannot say that the first person is half again as intelligent as the second.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Anderson, N. H. (1970). Functional measurement and psychophysics. Psychological Review 77, 153–170.

    Article  PubMed  Google Scholar 

  • Anderson, N. H. (1974). Information integration theory: A brief survey. In D. H. Krantz, R. C. Atkinson, R. D. Luce, & P. Suppes (Eds.), Contemporary developments in mathematical psychology (Vol. 2). San Francisco: Freeman.

    Google Scholar 

  • Anderson, N. H., & Cuneo, D. O. (1978). The height + width rule in children’s judgments of quantity. Journal of Experimental Psychology: General, 107, 335-378.

    Article  Google Scholar 

  • Bisanz, G. L., Voss, J. F; & Vesonder, G. T. (1978). Knowledge of one’s own responding and the relation of such knowledge to learning. Journal of Experimental Child Psychology 25, 116–128.

    Article  Google Scholar 

  • Bjorklund, D. F. (1985). The role of conceptual knowledge in the development of organization in children’s memory. In C. J. Brainerd & M. Pressley (Eds.), Basic processes in memory development: Progress in cognitive development research (pp. 103–142). New York: Springer-Verlag.

    Google Scholar 

  • Brainerd, C. J. (1973). Order of acquisition of transitivity, conservation, and classinclusion of length and weight. Developmental Psychology, 8, 105–116.

    Article  Google Scholar 

  • Brainerd, C. J. (1974). Training and transfer of transitivity, conservation, and class inclusion. Child Development, 45, 324–344.

    Article  Google Scholar 

  • Brainerd, C. J. (1977). Cognitive development and concept learning: An interpretative review. Psychological Bulletin, 84, 919–939.

    Article  Google Scholar 

  • Brainerd, C. J. (1978). The stage question in cognitive-developmental theory. The Behavioral and Brain Sciences, 1, 173–213.

    Article  Google Scholar 

  • Brainerd, C. J. (1979). Markovian interpretations of conservation learning. Psychological Review, 86, 181–213.

    Article  Google Scholar 

  • Brainerd, C. J. (1982). Children’s concept learning as rule-sampling systems with Markovian properties. In C. J. Brainerd (Ed.), Children’s logical and mathematical cognition: Progress in cognitive development research (pp. 177–212). New York: Springer-Verlag.

    Google Scholar 

  • Brainerd, C. J. (1983a). Structural invariance in the developmental analysis of learning. In J. Bisanz, G. Bisanz, & R. V. Kail (Eds.), Learning in children: Progress in cognitive development research. New York: Springer-Verlag.

    Google Scholar 

  • Brainerd, C. J. (1983b). Young children’s mental arithmetic errors: A workingmemory analysis. Child Development 54, 812–830.

    Article  Google Scholar 

  • Brainerd, C. J. (1985). Model-based approaches to storage and retrieval development. In C. J. Brainerd & M. Pressley (Eds.), Basic processes in memory development: Progress in cognitive development research (pp. 143–207). NewYork: Springer-Verlag.

    Google Scholar 

  • Brainerd, C. J. (in press). Three-state models of memory development: A review of advances in statistical methodology. Journal of Experimental Child Psychology

    Google Scholar 

  • Brainerd, C. J., & Howe, M. L. (1982). Stages-of-Iearning analysis of developmental interactions in memory, with illustrations from developmental interactions in pictUre-word effects. Developmental Review, 2, 251–273.

    Article  Google Scholar 

  • Brainerd, C. J., Howe, M. L., & Desrochers, A. (1982). The general theory of two-stage learning: A mathematical review with illustrations from memory development. Psychological Bulletin, 91, 634–665.

    Article  Google Scholar 

  • Brainerd, C. J., Howe, M. L., & Kingma, J. (1982). An identifiable model oftwostage learning. Journal of Mathematical Psychology, 26, 263–293.

    Article  Google Scholar 

  • Brainerd, C. J., Howe, M. L., & Kingma, J. (in press, a). Long-term memory development and learning disability: Storage and retrieval loci of disabled! nondisableddifferences. In S. J. Ceci (Ed.), Handbook of cognitive, social, and neuropsychological aspects of learning disabilities. Hillsdale, N J: Erlbaum.

    Google Scholar 

  • Brainerd, C. J., Howe, M. L., & Kingma, J. (in press, b). On the development of forgetting. Child Development

    Google Scholar 

  • Brainerd, C. J., Howe, M. L., Kingma, J., & Brainerd, S. H. (1984). On the measurement of storage and retrieval contributions to memory development. Journal of Experimental Child Psychology, 37, 478–499.

    Article  Google Scholar 

  • Chechile, R. A., & Meyer, D. L. (1976). A Bayesian procedure for separately estimating storage and retrieval processes. Journal of Mathematical Psychology, 13, 269–295.

    Article  Google Scholar 

  • Chechile, R. A., & Richman, C. L. (1982). The interaction of semantic memory with storage and retrieval processes. Developmental Review, 2, 237–250.

    Article  Google Scholar 

  • Chechile, R. A., Richman, C. L., Topinka, C., & Ehrensbeck, K. (1981). A developmental study of the storage and retrieval of information. Child Development, 52, 251–259.

    Article  Google Scholar 

  • Dempster, F. N. (1985). Short-term memory development in childhood and adolescence. In C. J. Brainerd & M. Pressley (Eds.), Basic processes in memory development: Progress in cognitive development research (pp. 209–248). New York: Springer-Verlag.

    Google Scholar 

  • Emmerich, H. J., & Ackerman, B. P. (1978). Developmental differences in recall: Encoding or retrieval? Journal of Experimental Child Psychology, 25,514–525.

    Article  Google Scholar 

  • Estes, W. K., & DaPolito, F. (1967). Independent variation of information storage and retrieval processes in paired-associate learning. Journal of Experimental Psychology, 75, 18–26.

    Article  PubMed  Google Scholar 

  • Flexer, A. J., & Tulving, E. (1978). Retrieval independence and recall. Psychological Review, 85, 153–171.

    Article  Google Scholar 

  • Gelman, R. (1969). Conservation acquisition: A problem of laerning to attend to relevant attributes. Journal of Experimental Child Psychology, 7, 167–187.

    Article  Google Scholar 

  • Greeno, J. G., James, C. T., DaPolito, F. J., & Polson, P. G. (1978). Associative learning: A cognitive analysis. Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Hooper, F. H., Goldman, J. A., Storck, P. A., & Burke, A. M. (1971). Stage sequence and correspondence in Piagetian theory: A review of the middlechildhood period. Research relating to children (Bulletin 28). Washington: Government Printing Office.

    Google Scholar 

  • Hooper, F. H., Toniolo, T. A., & Sipple, T. S. (1978). A longitudinal analysis of logical reasoning relationships: Conservation and transitive inference. Developmental Psychology, 14, 674–682.

    Article  Google Scholar 

  • Howe, M. L., Brainerd, C. J., & Kingma, J. (1985). Development of organization in recall: A stages-of-Iearning analysis. Journal of Experimental Child Psychology, 39, 230–251.

    Article  Google Scholar 

  • Howe, M. L., Brainerd, C. J., & Kingma, J. (in press). Storage-retrieval processes of normal and learning-disabled children: A stages-of-Iearning analysis of picture-word effects. Child Development

    Google Scholar 

  • Howe, M. L. & Hunter, M. A. (in press). Adult age differences in storageretrieval processes: A stages-of-Iearning analysis of developmental interactions in concreteness effects. Canadian Journal of Psychology

    Google Scholar 

  • Humphreys, M. S., & Greeno, J. G. (1970). Interpretation of the two-stage analysis of paired-associate memorizing. Journal of Mathematical Psychology 7, 275–292.

    Article  Google Scholar 

  • Keller, H. R., & Hunter, M. L. (1973). Task differences on conservation and transitivity problems. Journal of Experimental Child Psychology, 15,287–301.

    Article  Google Scholar 

  • Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations o measurement (Vol. 1). New York: Academic. 1. Structural Measurement

    Google Scholar 

  • Krantz, D. H., & Tversky, A. (1971). Conjoint-measurement analysis of composition rules in psychology. Psychological Review, 78, 151–169.

    Article  Google Scholar 

  • Lovell, K., & Ogilvie, E. (1961). A study of conservation of weight in the junior school child. British Journal of Educational Psychology, 31, 138–144.

    Article  Google Scholar 

  • McManis, D. L. (1969). Conservation and transitivity of weight and length by normals and retardates. Developmental Psychology, 1, 373–382.

    Article  Google Scholar 

  • Piaget, J. (1949). Traite de logique. Paris: Colin.

    Google Scholar 

  • Piaget, J. (1970). Piaget’s theory. In P. H. Mussen (Ed.), Carmichael’s manual of child psychology. New York: Wiley.

    Google Scholar 

  • Piaget, J., & Szeminska, A. (1941). La genese du nombre chez l’enfant. Neuchatel, Switzerland: Delachaux & Niestle.

    Google Scholar 

  • Siegler, R. S., & Vago, S. (1978). The development of the proportionality concept: Judging relative fullness. Journal of Experimental Child Psychology 25, 371–395.

    Article  Google Scholar 

  • Smedslund, J. (1959). Apprentissage des notions de la conservation et de la transitivite du poids. Etudes d’epistemolgie genetique, 9, 3–13.

    Google Scholar 

  • Smedslund, J. (1963). Development of concrete transitivity of length in children. Child Development, 34, 389–405.

    PubMed  Google Scholar 

  • Wilkinson, A. C. (1982a). Partial knowledge and self-correction: Developmental studies of a quantitative concept. Developmental Psychology, 18, 874–891.

    Article  Google Scholar 

  • Wilkinson, A. C. (1982b). Theoretical and methodological analysis of partial knowledge. Developmental Review, 2,274–304.

    Article  Google Scholar 

  • Wilkinson, A. C., DeMarinis, M., & Riley, S. J. (1983). Developmental and individual differences in rapid remembering. Child Development, 54, 898–911.

    Article  Google Scholar 

  • Wilkinson, A. C., & Koestler, R. (1983). Repeated recall: A new model and tests of its generality from childhood to old age. Journal of Experimental Psychology: General, 112, 423–451.

    Article  Google Scholar 

  • Wilkinson, A. C., & Koestler, R. (1984). Generality of a strength model for three conditions of repeated recall. Journal of Mathematical Psychology, 28, 43–72

    Article  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Brainerd, C.J. (1987). Structural Measurement Theory and Cognitive Development. In: Bisanz, J., Brainerd, C.J., Kail, R. (eds) Formal Methods in Developmental Psychology. Springer Series in Cognitive Development. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4694-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-4694-7_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9117-6

  • Online ISBN: 978-1-4612-4694-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics