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Conservation—Nonconservation: Alternative Explanations

  • Curt Acredolo
Part of the Springer Series in Cognitive Development book series (SSCOG)

Abstract

As cognitively mature adults we know that a quantity remains constant across a transformation as long as there is no addition or subtraction of the specific quantity in question. That is, we appear to be aware of an identity rule: In the absence of addition or subtraction quantity (amount) is maintained. Furthermore, we appear to know that this rule is more than just one of many available cues for judging quantity. To the extent that the possibility of addition or subtraction can be monitored during a transformation, we know that the identity rule should take precedence over any other potential cue for judging the presence or absence of a change in quantity.

Keywords

Identity Format Experimental Child Psychology Logical Necessity Standard Task Number Task 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

References Notes

  1. 1.
    Shultz, T. R. Concepts of natural and logical necessity. Paper presented at the biennial meeting of the Society for Research in Child Development, April 1981.Google Scholar
  2. 2.
    Silverman, I. W. & Briga, J. Does conservation training provoke the child to discover new rules for judging quantity. Paper presented at the biennial meeting of the Society for Research in Child Development, April 1981.Google Scholar
  3. 3.
    Acredolo, C. & Acredolo, L. P. Equilibration and conservation. Paper presented at the meeting of the Piaget Society, May 1980.Google Scholar

References

  1. Acredolo, C. The acquisition of conservation: A clarification of Piagetian terminology, some recent findings, and an alternative formulation. Human Development, 1981, 24, 120–137.CrossRefGoogle Scholar
  2. Acredolo, C. & Acredolo, L. P. Identity, compensation, and conservation. Child Development, 1979, 50, 524–535.CrossRefGoogle Scholar
  3. Acredolo, C. & Acredolo, L. P. The anticipation of conservation phenomenon: Conservation or pseudoconservation. Child Development, 1980, 51, 667–675.CrossRefGoogle Scholar
  4. Anderson, N. H. & Cuneo, D. O. The height + width rule in children’s judgment of quantity. Journal of Experimental Psychology: General, 1978, 107, 335–378.CrossRefGoogle Scholar
  5. Bates, E. Language and context. New York: Academic Press, 1976.Google Scholar
  6. Braine, M. D. S. & Shanks, B. L. The conservation of a shape property and a proposal about the origin of conservations. Canadian Journal of Psychology, 1965, 19, 197–207. (a)PubMedCrossRefGoogle Scholar
  7. Braine, M. D. S. & Shanks, B. L. The development of conservation of size. Journal of Verbal Learning and Verbal Behavior, 1965, 4, 227–242. (b)CrossRefGoogle Scholar
  8. Brainerd, C. J. Judgments and explanations as criteria for the presence of cognitive structures. Psychological Bulletin, 1973, 79, 172–179.CrossRefGoogle Scholar
  9. Brainerd, C. J. Feedback, rule knowledge, and conservation learning. Child Development, 1911, 48, 404–411.CrossRefGoogle Scholar
  10. Brainerd, C. J. & Hooper, F. H. A methodological analysis of developmental studies of identity conservation and equivalence conservation. Psychological Bulletin, 1975, 52, 725–737.CrossRefGoogle Scholar
  11. Brainerd, C. J. & Hooper, F. H. More on the identity-equivalence sequences: An update and some replies to Miller. Psychological Bulletin, 1978, 85, 70–75.Google Scholar
  12. Breslow, L. Réévaluation of the literature on the development of transitive inferences. Psychological Bulletin, 1981, 89, 325–351.CrossRefGoogle Scholar
  13. Bruner, J. S. On the conservation of liquids. In J. S. Bruner, R. R. Olver, P. M. Greenfield, et al. (Eds.), Studies in cognitive growth. New York: Wiley, 1966.Google Scholar
  14. Bryant, P. E. The understanding of invariance by very young children. Canadian Journal of Psychology, 1972, 26, 78–96.CrossRefGoogle Scholar
  15. Bryant, P. E. Perception and understanding in young children: An experimental approach. New York: Basic Books, 1974.Google Scholar
  16. Bryant, P. E. & Trabasso, T. Transitive inferences and memory in young children. Nature, 1971, 232, 456–458.PubMedCrossRefGoogle Scholar
  17. Carnap, R. Philosophical foundations of physics. New York: Basic Books, 1966.Google Scholar
  18. Clark, H. The primitive nature of children’s relational concepts. In J. R. Hayes (Ed.), Cognition and the development of language. New York: Wiley, 1970.Google Scholar
  19. Cowan, R. A reappraisal of the relation between performance of quantitative identity and quantitative equivalence conservation tasks. Journal of Experimental Child Psychology, 1979, 28, 68–80.CrossRefGoogle Scholar
  20. Cuneo, D. O. A general strategy for quantity judgments: The height + width rule. Child Development, 1980, 51, 299–301.PubMedCrossRefGoogle Scholar
  21. Curcio, F., Kattef, E., Levine, D. & Robbins, O. Compensation and susceptibility to conservation training. Developmental Psychology, 1972, 7, 259–265.CrossRefGoogle Scholar
  22. Dockrell, J., Campbell, R. & Neilson, I. Conservation accidents revisited. International Journal of Behavioral Development, 1980, 3, 423–439.Google Scholar
  23. Donaldson, M. & Balfour, G. Less is more. British Journal of Psychology, 1968, 59, 461–471.CrossRefGoogle Scholar
  24. Donaldson, M. & Wales, R. On the acquisition of some relational terms. In J. R. Hayes (Ed.), Cognition and the development of language. New York: Wiley, 1970.Google Scholar
  25. Elkind, D. Conservation across illusory transformations in young children. Acta Psychologia, 1966, 25, 389–400.CrossRefGoogle Scholar
  26. Elkind, D. Piaget’s conservation problems. Child Development, 1967, 38, 15–27.CrossRefGoogle Scholar
  27. Flavell, J. H. The developmental psychology of Jean Piaget. New York: Van Nostrand-Reinhold, 1963.CrossRefGoogle Scholar
  28. Flavell, J. H. Cognitive development. Englewood Cliffs, New Jersey: Prentice-Hall, 1977.Google Scholar
  29. Gelman, R. Conservation acquisition: A problem of learning to attend to relevant attributes. Journal of Experimental Child Psychology, 1969, 7, 167–186.CrossRefGoogle Scholar
  30. Gelman, R. Logical capacity of very young children: Number variance rules. Child Development, 1912, 43, 75–90.CrossRefGoogle Scholar
  31. Gelman, R. & Gallistel, C. R. The child’s understanding of number. Cambridge, Massachusetts: Harvard University Press, 1978.Google Scholar
  32. Gelman, R. & Tucker, M. R. Further investigations of the young child’s conception of number. Child Development, 1915, 46, 167–175.CrossRefGoogle Scholar
  33. Gelman, R. & Weinberg, D. H. The relationship between liquid conservation and compensation. Child Development, 1912, 43, 371–383.CrossRefGoogle Scholar
  34. Gibson, E. J. Principles of perceptual learning and development. New York: Appleton-Century-Crofts, 1969.Google Scholar
  35. Gibson, J. J. The ecological approach to visual perception. Boston, Massachusetts: Houghton Mifflin, 1979.Google Scholar
  36. Goodnow, J. J. Compensation arguments on conservation tasks. Developmental Psychology, 1913, 8, 140.CrossRefGoogle Scholar
  37. Griffiths, J. A., Shantz, C. A. & Sigel, I. A methodological problem in conservation studies: The use of relational terms. Child Development, 1967, 38, 841–848.PubMedGoogle Scholar
  38. Hall, V. C. & Kaye, D. B. The necessity of logical necessity in Piaget’s theory. L. S. Siegel,,, C. J. Brainerd (Eds.), Alternatives to Piaget: Critical essays on the theory. New York: Academic Press, 1978.Google Scholar
  39. Hamel, B. R. On the conservation of liquids. Human Development, 1971, 14, 39–46.CrossRefGoogle Scholar
  40. Hamel, B. R. & Riksen, B. O. M. Identity, reversibility, verbal rule instruction and conservation. Developmental Psychology, 1973, J, 66–72.Google Scholar
  41. Hamel, B. R., Van der Veer, M. A. A. & Westerhof, R. Identity, language-activation training and conservation. British Journal of Educational Psychology, 1972, 42, 186–191.CrossRefGoogle Scholar
  42. Hood, H. B. An experimental study of Piaget’s theory of the development of number in children. British Journal of Psychology, 1962, 53, 273–286.PubMedCrossRefGoogle Scholar
  43. Hulsebus, R. C. An interaction between vertical dimension and age in children’s judgment of size. Perceptual and Motor Skills, 1969, 28, 841–842.PubMedCrossRefGoogle Scholar
  44. Inhelder, B., Bovet, M., Sinclair, H. & Smock, C. D. On cognitive development. American Psychologist, 1966, 21, 160–164.CrossRefGoogle Scholar
  45. Inhelder, B., Sinclair, H. & Bovet, M. Learning and development of cognition. Cambridge, Massachusetts: Harvard University Press, 1974.Google Scholar
  46. Katz, H. & Beilin, H. A test of Bryant’s claims concerning the young child’s understanding of quantitative invariance. Child Development, 1976, 47, 877–880.CrossRefGoogle Scholar
  47. Klahr, D. & Wallace, J. G. Cognitive development: An information-processing view. Hillsdale, New Jersey: Lawrence Erlbaum Assoc., 1976.Google Scholar
  48. Larsen, G. Y. & Flavell, J. H. Verbal factors in compensation performance and the relationship between conservation and compensation. Child Development, 1970, 41, 965–911.PubMedCrossRefGoogle Scholar
  49. Leahey, T. H. The development of conservation abilities: An intertask analysis of continuous quantity. Merrill-Palmer Quarterly of Behavior and Development, 1977, 23, 215–225.Google Scholar
  50. Lee, L. C. The concomitant development of cognitive and moral modes of thought: A test of selected deductions from Piaget’s theory. Genetic Psychology Monographs, 1911, 83, 93–146.Google Scholar
  51. Lumsden, E. A. & Kling, J. K. The relevance of an adequate concept of “bigger” for investigations of size conservation: A methodological critique. Journal of Experimental Child Psychology, 1969, 8, 82–91.PubMedCrossRefGoogle Scholar
  52. Lumsden, E. A. & Poteat, B. W. S. The salience of the vertical dimension in the concept of “bigger” in five- and six-year-olds. Journal of Verbal Learning and Verbal Behavior, 1968, 7, 404–408.CrossRefGoogle Scholar
  53. Lunzer, E. A. Formal reasoning. In E. A. Lunzer, J. F. Morris (Eds.), Development in human learning. New York: American Elsevier, 1968.Google Scholar
  54. Maratsos, M. P. Decrease in preschool children’s understanding of the word big. Child Development, 1973, 4, 747–752.CrossRefGoogle Scholar
  55. Maratsos, M. P. When is a high thing the big one. Developmental Psychology, 1914, 10, 361–315.Google Scholar
  56. McGarrigle, J. & Donaldson, M. Conservation accidents. Cognition, 1975, 3, 341–350.CrossRefGoogle Scholar
  57. Mehler, J. & Bever, T. C. Cognitive capacity of very young children. Science, 1967, 158, 141–142.PubMedCrossRefGoogle Scholar
  58. Miller, P. H. & Heldmeyer, K. H. Perceptual information in conservation: Effects of screening. Child Development, 1915, 46, 588–592.CrossRefGoogle Scholar
  59. Miller, P. H. & Heller, K. Facilitation of attention to number and conservation of number. Journal of Experimental Child Psychology, 1976, 22, 454–467.CrossRefGoogle Scholar
  60. Miller, S. A. Contradiction, surprise, and cognitive change: The effects of disconfirmation of belief on conservers and nonconservers. Journal of Experimental Child Psychology, 1973, 15, 47–62.CrossRefGoogle Scholar
  61. Miller, S. A. Extinction of Piagetian concepts: An updating. Merrill-Palmer Quarterly of Behavior and Development, 1976, 22, 257–281. (a)Google Scholar
  62. Miller, S. A. Nonverbal assessment of Piagetian concepts. Psychological Bulletin, 1976, 83, 405–430. (b)CrossRefGoogle Scholar
  63. Miller, S. A. A disconfirmation of the quantitative identity-quantitative equivalence sequence. Journal of Experimental Child Psychology, 1977, 24, 180–189.CrossRefGoogle Scholar
  64. Miller, S. A. Identity conservation and equivalence conservation: A critique of Brainerd and Hooper’s analysis. Psychological Bulletin, 1978, 85, 58 - 69.CrossRefGoogle Scholar
  65. Palermo, D. S. More about less: A study of language comprehension. Journal of Verbal Learning and Verbal Behavior, 1973, 72, 211–221.CrossRefGoogle Scholar
  66. Palermo, D. S. Still more about the comprehension of less. ’ Developmental Psychology, 1974, 10, 827–829.CrossRefGoogle Scholar
  67. Pennington, B. F., Wallach, L. & Wallach, M. A. Nonconservers’ use and understanding of number and arithmetic. Genetic Psychology Monographs, 1980, 101, 231–243.Google Scholar
  68. Perner, J., Steiner, G. & Staehelin, C. Mental representation of length and weight series and transitive inferences in young children. Journal of Experimental Child Psychology, 1981, 31, 177–192.PubMedCrossRefGoogle Scholar
  69. Phye, G. & Tenbrick, T. Stimulus position and functional direction: Confounds in the concept of “bigger” in 5- and 6-year-olds. Psychonomic Science, 1972, 29, 357–359.Google Scholar
  70. Piaget, J. The child’s conception of number. New York: Humanities Press, 1952.Google Scholar
  71. Piaget, J. Cognitions and conservations: Two views. Contemporary Psychology, 1967, 72, 532–533.Google Scholar
  72. Piaget, J. Quantification, conservation, and nativism. Science, 1968, 162, 976–979.PubMedCrossRefGoogle Scholar
  73. Piaget, J. Biology and knowledge. Chicago: University of Chicago Press, 1971.Google Scholar
  74. Piaget, J. Identity and conservation. In B. Inhelder,,, H. H. Chipman (Eds.), Piaget and his school New York: Springer-Verlag, 1976.Google Scholar
  75. Piaget, J. & Inhelder, B. Images and thought: The role of images in the preparation and function of operations. In P. Fraisse,,, J. Piaget (Eds.), Experimental psychology: Its scope and method, Vol. 7: Intelligence. New York: Basic Books, 1969.Google Scholar
  76. Piaget, J. & Inhelder, B. Mental imagery in the child. New York: Basic Books, 1971.Google Scholar
  77. Piaget, J. & Inhelder, B. The child’s construction of quantities: Conservation and atomism. London: Routledge and Kegan Paul, 1974.Google Scholar
  78. Pinard, A. & Chase, G. Pseudoconservation of volume and surface area of a solid object. Child Development, 1911, 48, 1559–1566.CrossRefGoogle Scholar
  79. Poteat, B. W. S. & Hulsebus, R. C. A vertical dimension: A significant cue in the preschool child’s concept of “bigger. ” Psychonomic Science, 1968, 12, 369–370.Google Scholar
  80. Rose, S. A. & Blank, M. The potency of context in children’s cognition: An illustration through conservation. Child Development, 1974, 45, 499–502.CrossRefGoogle Scholar
  81. Rothenberg, B. A. Conservation of number among four- and five-year-old children: Some methodological considerations. Child Development, 1969, 40, 383–406.CrossRefGoogle Scholar
  82. Russell, J. Nonconservation of area: Do children succeed where adults fail. Developmental Psychology, 1976, 12, 367–368.CrossRefGoogle Scholar
  83. Shultz, T. R., Dover, A. & Amsel, E. The logical and empirical bases of conservation judgments. Cognition, 1979, 7, 99–123.CrossRefGoogle Scholar
  84. Sheppard, J. L. Compensation and combinational systems in the acquisition and generalization of conservation. Child Development, 1974, 45, 717–730.CrossRefGoogle Scholar
  85. Siegel, L. S. The relationship of language and thought in the preoperational child: A reconsideration of nonverbal alternatives to Piagetian tasks. In L. S. Siegel,,, C. J. Brainerd (Eds.), Alternatives to Piaget: Critical essays on the theory. New York: Academic Press, 1978.Google Scholar
  86. Siegler, R. S. Developmental sequences within and between concepts. Monographs of the Society for Research in Child Development, 1981. 46 (Whole No. 189).Google Scholar
  87. Silverman, I. & Schneider, D. S. A study of the development of conservation by a nonverbal method. Journal of Genetic Psychology, 1968, 112, 287–291.PubMedGoogle Scholar
  88. Silverman, I. W. Context and number conservation. Child Study Journal, 1979, 9, 205–212.Google Scholar
  89. Silverman, I. W. & Briga, J. By what process do young children solve small number conservation problems. Journal of Experimental Child Psychology, 1981, 32, 115–126.CrossRefGoogle Scholar
  90. Silverman, I. W. & Rose, A. P. Compensation and conservation. Psychological Bul-letin, in press.Google Scholar
  91. Silverman, I. W., Rose, A. P. & Phillis, D. E. The “magic” paradigm revisited. Journal of Experimental Child Psychology, 1919, 28, 30–42.CrossRefGoogle Scholar
  92. Smedslund, J. The acquisition of conservation of substance and weight in children: V. Practice in conflict situations without external reinforcement. Scandanavian Journal of Psychology, 1961, 2, 156–160.CrossRefGoogle Scholar
  93. Smedslund, J. Microanalysis of concrete reasoning: I, II, III. Scandanavian Journal of Psychology, 1966, 7, 145–167.Google Scholar
  94. Starkey, P. Young children’s performance in number conservation tasks: Evidence for a hierarchy of strategies. Journal of Genetic Psychology, 1981, 138, 103–110.Google Scholar
  95. Strauss, S. & Liberman, D. The empirical violation of conservation laws and its relation to structural change. Journal of Experimental Child Psychology, 1974, 18, 464–479.CrossRefGoogle Scholar
  96. Thayer, E. S. & Collyer, C. E. The development of transitive inference: A review of recent approaches. Psychological Bulletin, 1978, 55, 1327–1343.CrossRefGoogle Scholar
  97. Wallach, L. On the bases of conservation. In D. Elkind,,, J. H. Flavell (Eds.), Studies in cognitive development: Essays in honor of Jean Piaget. New York: Oxford University Press, 1969.Google Scholar
  98. Weiner, S. L. On the development of more and less. Journal of Experimental Child Psychology, 1974, 17, 271–287.CrossRefGoogle Scholar
  99. Wheldall, K. & Poborca, B. Conservation without conversation? An alternative, non-verbal paradigm for assessing conservation of liquid quantity. British Journal of Psychology, 1980, 71, 117–134.CrossRefGoogle Scholar
  100. Winer, G. A. Induced set and acquisition of number conservation. Child Development, 1968, 39, 195–205.PubMedCrossRefGoogle Scholar
  101. Winer, G. A. Conservation of different quantities among preschool children. Child Development, 1914, 45, 839–842.CrossRefGoogle Scholar
  102. Winer, G. A. Analysis of the relation between conservation of large and small quantities. Psychological Reports, 1915, 36, 379–382.CrossRefGoogle Scholar
  103. Woodruff, G., Premack, D. & Kennel, K. Conservation of liquid and solid quantity by the chimpanzee. Science, 1978, 202, 991–994.PubMedCrossRefGoogle Scholar
  104. Zimilies, H. The development of conservation and differentiation of number. Monographs of the Society for Research in Child Development, 1966, 31 (6, Serial No. 180).Google Scholar

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© Springer-Verlag New York, Inc. 1982

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  • Curt Acredolo

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