Rekenproject: Ontwikkelingspsychologie
Ben Wilbrink
Jo-Anne LeFevre, Lisa Fast, Sheri-Lynn Skwarchuk et al. (2010) Pathways to mathematics: longitudinal predictors of performance., 1753-67. In Child development 81 (6). pdf
Herbert P. Ginsberg (Ed.) (1983). The developent of mathematical thinking. Academic Press.
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Herbert P. Ginsburg, Nancy E. Kossan, Robert Schwarz: Protocol methods in research on mathematical thinking.
- Karen C. Fuson & James W. Hall: The acquisition of early number word meanings: A conceptual analysis and review.
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Lauren B. Resnick: A developmental theory of number understanding.
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Mary S. Riley, James G. Greeno & Joan I. Heller: Development of children’s problem-solving ability in arithmetic.
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Kurt Van Lehn: On the representation of procedures in repair theory.
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Robert B. Davis: Complex mathematical cognition.
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Geoffrey B. Saxe & Jill K. Posner: The development of numerical cognition: cross-cultural perspectives. Barbara S. Allardice & Herbert P. Ginsburg: Children's psyhcological difficulties in mathematics.
- Guy Groen & Caroline Kieran: The many faces of Piaget.
Anna J. Wilson and Stanislas Dehaene (in print). Number Sense and Developmental Dyscalculia. In D. Coch, G. Dawson & K. Fischer: Human Behavior, Learning, and the Developing Brain: Atypical
Development. Guilford Press. pdf
Robert S. Siegler, Clarissa A. Thompson & Michael Schneider (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62, 273–296. pdf
Douglas H. Clements, Julie Sarama & Ann-Marie DiBiase (Eds.) (2004). Engaging Young Children in Mathematics. Standards for Early Childhood Mathematics Education. Erlbaum. contents
Catherine Sophian (2007). The origins of mathematical knowledge in childhood. Lawrence Erlbaum.
Chapter 7: Implications for developmental psychology. pp. 131-150.
Subitizing reflects visuo-spatial object individuation capacity. Cognition, 121, 147-153.
abstract Subitizing is the immediate apprehension of the exact number of items in small sets.
Despite more than a 100 years of research around this phenomenon, its nature and origin
are still unknown. One view posits that it reflects a number estimation process common for
small and large sets, which precision decreases as the number of items increases, according
to Weber’s law. Another view proposes that it reflects a non-numerical mechanism of
visual indexing of multiple objects in parallel that is limited in capacity. In a previous
research we have gathered evidence against the Weberian estimation hypothesis. Here
we provide first direct evidence for the alternative object indexing hypothesis, and show
that subitizing reflects a domain general mechanism shared with other tasks that require
multiple object individuation.
McCrink, K. & Wynn, K. (2008) Mathematical Reasoning. In Encyclopedia of Infant and Early Childhood Development. Ed. M. Haith & J. Benson. Vol 2. pp. 280-289. pdf download
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