Abstract
The concept of cognitive structure is central to those theories of thought that emerged as a result of the critical evaluation of the studies on developmental psychology and epistemology of the Geneva group around Jean Piaget. It denotes developmental stages of logico-mathematical structures of thinking which—based on empirical observations and experiments—were genetically reconstructed in this area of investigation.1 The considerations to be presented here deal with a particularly controversial question: What is the importance of the material representation of cognitive structures with regard to their ontogenetic and phylogenetic development and how should the representation be defined empirically and theoretically.
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Bibliography
Abrahamsen, A. A.: Child Language. An Interdisciplinary Guide to Theory and Research. Baltimore, MD: University Park Press, 1977.
Bernal, J. D.: Science in History. London: Watts, 1954.
Blackstock, E. G. and King, W. L.: “Recognition and Reconstruction Memory for Seriation in Four-and Five-Year-Olds.” In Developmental Psychology,9 (2), 1973, pp. 266267.
Bourbaki, N.: Theory of Sets. Reading, MA: Addison-Wesley, 1968.
Brainerd, C. J.: “Judgments and Explanations as Criteria for the Presence of Cognitive Structures ” In Psychological Bulletin, 79 (3), 1973, pp. 172–179.
Bruner, J. S.: The Process of Education. Cambridge, MA: Harvard University Press, 1965.
Bruner, J. S.: “From Communication to Language—A Psychological Perspective.” In Cognition,3 (3), 1974/75, pp. 255–287.
Bruner, J. S. et al.: Studies in Cognitive Growth: A Collaboration at the Center for Cognitive Studies. New York: Wiley, 1966.
Chomsky, N.: Aspects of the Theory of Syntax. Cambridge, MA: MIT Press, 1965.
Dawydow, W.: Arten der Verallgemeinerung im Unterricht. Logisch-psychologische Probleme des Aufbaus von Unterrichtsfächern. Berlin: Volk und Wissen, 1977.
Descartes, R.: The Geometry of René Descartes. Trans. from the French and Latin by D. E. Smith and M. L. Latham. New York: Dover, 1954.
Donaldson, M. and Balfour, G.: “Less is More: A Study of Language Comprehension in Children.” In The British Journal of Psychology, 59 (4), 1968, pp. 461–471.
Estes, K. W.: “Nonverbal Discrimination of More and Fewer Elements by Children.” In Journal of Experimental Child Psychology, 21, 1976, pp. 393–405.
Euclid: The Thirteen Books of Euclid’s Elements: Translated from the Text of Heiberg with Introduction and Commentary by Sir Thomas L. Heath. 2nd ed., 3 vols., New York: Dover, 1956.
Goldmann, L.: Dialektische Untersuchungen. Neuwied: Luchterhand, 1966.
Gollin, E. S., Moody, M. and Schadler, M.: “Relational Learning of a Size Concept.” In Developmental Psychology, 10 (1), 1974, pp. 101–107.
Habermas, J. and Luhmann, N.: Theorie der Gesellschaft oder Sozialtechnologie—Was leistet die Systemforschung? Frankfurt a.M.: Suhrkamp, 1971.
Harasym, C. R., Boersma, F. J. and Maguire, T. O.: “Sematic Differential Analysis of Relational Terms Used in Conservation.” In Child Development,42 (3), 1971, pp. 767779.
Heidtmann, B.: “Systemwissenschaftliche Reflexion und gesellschaftliches Sein. Zur dialektischen Bestimmung der Kategorie des objektiven Scheins.” In Heidtmann, B., Richter, G., Schnauß, G. and Warnke, C.: Marxistische Gesellschaftsdialektik oder “Systemtheorie der Gesellschaft”? Frankfurt a.M.: Verlag Marxistische Blätter, 1977, pp. 69–102.
Holzkamp, K.: Sinnliche Erkenntnis. Historischer Ursprung und gesellschaftliche Funktion der Wahrnehmung. Frankfurt a.M.: Athenaeum Fischer, 1973.
Juschkewitsch, A. P.: Geschichte der Mathematik im Mittelalter. Basel: Pfalz, 1966.
Keller, M.: Kognitive Entwicklung und soziale Kompetenz. Zur Entstehung der Rollenübernahme in der Familie und ihre Bedeutung für den Schulerfolg. Stuttgart: Klett, 1976.
Kohlberg, L.: “Stage and Sequence: The Cognitive-Developmental Approach to Socialization.” In Goslin, D. A. (Ed.): Handbook of Socialization Theory and Research. Chicago, IL: Rand McNally, 1969, pp. 347–480.
Lawson, G., Baron. J. and Siegel, L.: “The Role of Number and Length Cues in Children’s Quantitative Judgments.” In Child Development, 45, 1974, pp. 731–736.
Luhmann, N.: “Reflexive Mechanismen.” In Luhmann, N.: Soziologische Aufklärung. Aufsätze zur Theorie sozialer Systeme. Köln: Westdeutscher Verlag, 1970, pp. 92–112.
Luhmann, N.: “Selbst-Thematisierungen des Gesellschaftssystems. Über die Kategorie der Reflexion aus der Sicht der Systemtheorie” In Zeitschrift für Soziologie, 2 (1), 1973, pp. 21–46.
Lumsden, E. A. and Kling, J. K.: “The Relevance of an Adequate Concept of `Bigger’ for Investigations of Size Conservation: A Methodological Critique.” In Journal of Experimental Child Psychology, 8, 1969, pp. 82–91.
Maratsos, M. P.: “ When is a High Thing the Big One? In Developmental Psychology, 10 (3), 1974, pp. 367–375.
Miller, G. A., Galanter, E. and Pribram, K. H.: Plans and the Structure of Behavior. New York: Holt, Rinehart and Winston, 1965.
Miller, S. A.: “Nonverbal Assessment of Piagetian Concepts.” In Psychological Bulletin, 83 (3), 1976, pp. 405–430.
Neugebauer, O.: Die Grundlagen der ägyptischen Bruchrechnung. Berlin: Springer, 1926.
Palermo, D. S.: “Still More About the Comprehension of `Less’.” In Developmental Psychology, 10 (6), 1974, pp. 827–829.
Piaget, J.: The Moral Judgement of the Child. Trans. by M. Gabain. New York: Harcourt, 1932.
Piaget, J.: The Child’s Conception of Number. Trans. by C. Gattegno and F. M. Hodgson. London: Routledge and Kegan Paul, 1952a.
Piaget, J.: The Origins of Intelligence in Children. Trans. by M. Cook. New York: International Universities Press, Inc., 1952b.
Piaget, J.: Structuralism. New York: Basic Books, 1970.
Piaget, J.: “The Theory of Stages in Cognitive Development.” In Green, D. R., Ford, M. P. and Flamer, G. B. (Eds.): Measurement and Piaget. New York: McGraw-Hill, 1971a, pp. 1–11.
Piaget, J.: Biology and Knowledge: An Essay on the Relations Between Organic Regulations and Cognitive Processes. Chicago, IL: University of Chicago Press, 197 lb.
Piaget, J. and Inhelder, B.: The Early Growth of Logic in the Child (Classification and Seriation). Trans. by G. A. Lunzer and D. Papert. London: Routledge and Kegan Paul, 1964.
Piaget, J. and Inhelder, B.: Memory and Intelligence. Trans. by C. Gattegno and F. M. Hodgson. London: Routledge and Kegan Paul, 1973.
Riegel, K. F.: “Toward a Dialectical Theory of Development.” In Human Development, 18, 1975, pp. 50–64.
Rothenberg, B. B.:“Conservation of Number Among Four-and Five-Year-Old Children: Some Methodological Considerations.” In Child Development, 40 (2), 1969, pp. 383–406.
Ruben, P.: Dialektik und Arbeit der Philosophie. Köln: Pahl-Rugenstein, 1978.
Schurig, V.: Die Entstehung des Bewußtseins. Frankfurt a.M.: Campus, 1976.
Siegel, L. S.: “Development of the Concept of Seriation.” In Developmental Psychology, 6 (1), 1972, pp. 135–137.
Siegel, L. S.: “Development of Number Concepts: Ordering and Correspondence Operations and the Role of Length Cues.” In Developmental Psychology, 10 (6), 1974, pp. 907–912.
Siegel, L. S. and Brainerd, C. J. (Eds.): Alternatives to Piaget: Critical Essays on the Theory. New York: Academic Press, 1978.
Steiner, G.: Mathematik als Denkerziehung. Eine psychologische Untersuchung über die Rolle des Denkens in der mathematischen Früherziehung. Stuttgart: Klett, 1973.
Townsend, D. J.: “Children’s Comprehension of Comparative Forms.” In Journal of Experimental Child Psychology, 18, 1974, pp. 293–303.
Trabasso, T. and Riley, C. A.: “The Construction and Use of Representation Involving Linear Order.” In Solso, R. L. (Ed.): Information Processing and Cognition. The Loyola Symposium. Hillsdale, NJ: Erlbaum, 1975, pp. 381–410.
Trabasso, T., Riley, C. A. and Wilson, E. G.: “The Representation of Linear Order and Spatial Strategies in Reasoning. A Development Study.” In Falmagne, R. J. (Ed.): Reasoning: Representation and Process in Children and Adults. Hillsdale, NJ: Erlbaum, 1975, pp. 201–229.
Vogel, K. (Ed.): Chiu Chang Suan Shu: Neun Bücher Arithmetischer Technik. Ein chinesisches Rechenbuch für den praktischen Gebrauch aus der frühen Hanzeit (202 v. Chr. bis 9 n. Chr.). Braunschweig: Vieweg, 1968.
Vygotsky, L. S.: “Thinking and Speech.” In Rieber, R. W. and Carton, A. S. (Eds.): The Collected Works of L. S. Vygotsky; Vol. 1. New York: Plenum, 1987, pp. 37–285.
Weiner, S. L.: “On the Development of More and Less.” In Journal of Experimental Child Psychology, 17, 1974, pp. 271–287.
Whitehead, A. N. and Russell, B.: Principia Mathematica. 2nd ed., 3 vols., Cambridge: Cambridge University Press, 1927.
Wussing, H.: Mathematikmain der Antike. Mathematik in der Periode der Sklavenhaltergesellschaft. Leipzig: Teubner, 1962.
Youniss, J.: “Inference as a Developmental Construction.” In Falmagne, R. J. (Ed.): Reasoning: Representation and Process in Children and Adults. Hillsdale, NJ: Erlbaum, 1975, pp. 231–245.
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Damerow, P. (1996). Representation and Meaning. In: Abstraction and Representation. Boston Studies in the Philosophy of Science, vol 175. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8624-5_2
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