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Brief Articles

The Role of Cardinality in the Interpretation of Measurement Expressions

Pages 228-240 | Received 03 Aug 2011, Accepted 17 Sep 2012, Published online: 18 Jun 2013

REFERENCES

  • Baroody , Arthur , Lai , Meng-lung , Li , Xia and Baroody , Alison E. 2009 . Preschoolers' understanding of subtraction-related principles . Mathematical Thinking and Learning , 11 : 41 – 60 .
  • Barwise , Jon and Cooper , Robin . 1981 . Generalized quantifiers and natural language . Linguistics and Philosophy , 4 : 159 – 219 .
  • Bloom , Paul and Wynn , Karen . 1997 . Linguistic cues in the acquisition of number words . Journal of Child Language , 24 : 511 – 533 .
  • Briars , Diane and Siegler , Robert S. 1984 . A featural analysis of preschoolers' counting knowledge . Developmental Psychology , 20 ( 4 ) : 607 – 618 .
  • Carey , Susan . 2004 . Bootstrapping and the origin of concepts . Daedalus , 133 : 59 – 68 .
  • Carey , Susan . 2009a . Where our number concepts come from . Journal of Philosophy , 106 ( 4 ) : 220 – 254 .
  • Carey , Susan . 2009b . The origin of concepts , Oxford : Oxford University Press .
  • Condry , Kirsten F. and Spelke , Elizabeth S. 2008 . The development of language and abstract concepts: The case of natural number . Journal of Experimental Psychology: General , 137 ( 1 ) : 22 – 38 .
  • Crain , Stephen and McKee , Cecile . 1985 . “ The acquisition of structural restrictions on anaphora. In Steve Berman, Jae Woong Choe & Joyce McDonough (eds.) ” . In Proceedings of the 15th Annual North East Linguistic Society [NELS 16] , 94 – 111 . Amherst , MA : GLSA, University of Massachusetts .
  • Fuson , Karen . 1988 . Children's counting and concepts of number , New York : Springer-Verlag .
  • Gelman , Rochel and Gallistel , Charles R. 1978 . The child's understanding of number , Cambridge , MA : Harvard University Press .
  • Gelman , Rochel and Meck , Elizabeth . 1983 . Preschoolers' counting: Principles before skill . Cognition , 13 : 343 – 359 .
  • Hughes , Martin . 1981 . Can preschool children add and subtract? . Educational Psychology , 1 ( 3 ) : 207 – 219 .
  • Hurewitz , Felicia , Papafragou , Anna , Gleitman , Lila and Gelman , Rochel . 2006 . Asymmetries in the acquisition of numbers and quantifiers . Language Learning and Development , 2 ( 2 ) : 76 – 97 .
  • Jackendoff , Ray . 1977 . X-Bar syntax: A study of phrase structure. Linguistic Inquiry monograph two , Cambridge , MA : MIT Press .
  • Klooster , W. G. 1972 . The structure underlying measure phrase sentences , Dordrecht , , The Netherlands : Reidel .
  • Ladusaw , William . 1982 . “ Semantic constraints on the English partitive construction ” . In Proceedings of the 1st West Coast Conference on Formal Linguistics [WCCFL 1] , Edited by: Flickinger , Daniel , Macken , Marlys and Wiegand , Nancy . 231 – 242 . Stanford , CA : CSLI Publication .
  • Le Corre , Matthieu and Carey , Susan . 2007 . One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles . Cognition , 105 ( 2 ) : 395 – 438 .
  • Le Corre , Matthieu , Van de Walle , Gretchen A. , Brannon , Elizabeth and Carey , Susan . 2006 . Re-visiting the performance/competence debate in the acquisition of counting principles . Cognitive Psychology , 52 : 130 – 169 .
  • Link , Godehard . 1983 . “ The logical analysis of plural and mass terms: A lattice-theoretic approach. In Rainer Bäuerle, Christoph Schwarze and Arnim von Stechow (eds.) ” . In Meaning, use and interpretation of language , 302 – 323 . Berlin : de Gruyter .
  • Lipton , Jennifer S. and Spelke , Elizabeth . 2006 . Preschool children master the logic of number word meanings . Cognition , 98 ( 3 ) : B57 – B66 .
  • Musolino , Julien . 2004 . The semantics and acquisition of number words: Integrating linguistic and developmental perspectives . Cognition , 93 ( 1 ) : 1 – 41 .
  • Musolino , Julien . 2009 . The logical syntax of number words: Theory, acquisition and processing . Cognition , 111 ( 1 ) : 24 – 45 .
  • Noveck , Ira . 2001 . When children are more logical than adults: Experimental investigations of scalar implicature . Cognition , 78 ( 2 ) : 165 – 188 .
  • Papafragou , Anna and Musolino , Julien . 2003 . Scalar implicatures: Experiments at the semantics-pragmatics interface . Cognition , 86 ( 3 ) : 253 – 282 .
  • Sarnecka , Barbara and Gelman , Susan . 2004 . Six does not just mean a lot: Preschoolers see number words as specific . Cognition , 92 ( 3 ) : 329 – 352 .
  • Schwarzschild , Roger . 2006 . The role of dimensions in the syntax of noun phrases . Syntax , 9 ( 1 ) : 67 – 110 .
  • Starkey , Prentice and Gelman , Rochel . 1982 . “ The development of addition and subtraction abilities prior to formal schooling in arithmetic ” . In Addition and subtraction: A cognitive perspective , Edited by: Carpenter , Thomas P. , Moser , James M. and Romberg , Thomas A. 99 – 16 . Hillsdale , NJ : Erlbaum .
  • Syrett , Kristen . 2010 . “ The representation and processing of measure phrases by four-year-olds ” . In Proceedings of the 34th Annual Boston University Conference on Language Development [BUCLD 34] , Edited by: Franich , Katie , Iserman , Kate M. and Keil , Lauren L. 421 – 432 . Somerville , MA : Cascadilla Press .
  • Syrett , Kristen , Musolino , Julien and Gelman , Rochel . 2012 . How can syntax support number word acquisition? . Language Learning and Development , 8 : 146 – 176 .
  • Syrett , Kristen and Schwarzschild , Roger . November 6-8 2009 . The representation and processing of measure phrases by four-year-olds , November 6-8 , Paper presented at the 34th Annual Boston University Conference on Language Development, Boston University .
  • Wynn , Karen . 1990 . Children's understanding of counting . Cognition , 36 ( 2 ) : 155 – 193 .
  • Wynn , Karen . 1992 . Children's acquisition of the number words and the counting system . Cognitive Psychology , 24 ( 2 ) : 220 – 251 .
  • Zur , Osnat and Gelman , Rochel . 2004 . Young children can add and subtract by predicting and checking . Early Childhood Research Quarterly , 19 ( 1 ) : 121 – 137 .

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