6 found
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  1.  61
    From Numerical Concepts to Concepts of Number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
    Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...)
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  2.  21
    Giving the Boot to the Bootstrap: How Not to Learn the Natural Numbers.Lance J. Rips, Jennifer Asmuth & Amber Bloomfield - 2006 - Cognition 101 (3):B51-B60.
  3.  18
    Do Children Learn the Integers by Induction?Lance J. Rips, Jennifer Asmuth & Amber Bloomfield - 2008 - Cognition 106 (2):940-951.
  4.  21
    Can Statistical Learning Bootstrap the Integers?Lance J. Rips, Jennifer Asmuth & Amber Bloomfield - 2013 - Cognition 128 (3):320-330.
  5.  5
    Children's Understanding of the Natural Numbers’ Structure.Jennifer Asmuth, Emily M. Morson & Lance J. Rips - 2018 - Cognitive Science 42 (6):1945-1973.
    When young children attempt to locate numbers along a number line, they show logarithmic (or other compressive) placement. For example, the distance between “5” and “10” is larger than the distance between “75” and “80.” This has often been explained by assuming that children have a logarithmically scaled mental representation of number (e.g., Berteletti, Lucangeli, Piazza, Dehaene, & Zorzi, 2010; Siegler & Opfer, 2003). However, several investigators have questioned this argument (e.g., Barth & Paladino, 2011; Cantlon, Cordes, Libertus, & Brannon, (...)
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  6.  43
    Dissonances in Theories of Number Understanding.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):671-687.
    Traditional theories of how children learn the positive integers start from infants' abilities in detecting the quantity of physical objects. Our target article examined this view and found no plausible accounts of such development. Most of our commentators appear to agree that no adequate developmental theory is presently available, but they attempt to hold onto a role for early enumeration. Although some defend the traditional theories, others introduce new basic quantitative abilities, new methods of transformation, or new types of end (...)
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