TY - JOUR
T1 - Blake's development of the number words "one," "two," and "three"
AU - Palmer, Alexis
AU - Baroody, Arthur J.
N1 - Funding Information:
This article is based on research supported by grant BCS-0111829 from the National Science Foundation (“The Developmental Bases of Number and Operation Sense”). The data analyses and write up also were supported, in part, by grant 200400033 from the Spencer Foundation (“Key Transitions in Preschoolers’ Number and Arithmetic Development”), grant R305A080479 (“Fostering Fluency with Basic Addition and Subtraction”) from the Institute of Education Science (U.S. Department of Education), and grant R01-HD051538–01 (“Computer-guided Comprehensive Mathematics Assessment for Young Children”) from the National Institutes of Health. Any opinions, findings, conclusions, or recommendations expressed are solely those of the authors and do not necessarily reflect the position, policy, or endorsement of the National Science Foundation, Spencer Foundation, Institute of Education Science, or National Institutes of Health. Portions of this case study were originally reported at the 2002 annual meeting of the American Educational Research Association and the 2003 biennial meeting of the Society for Research in Child Development.
Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/7
Y1 - 2011/7
N2 - A mother tracked her preschooler's number word development daily from 18 to 49 months of age. Naturalistic observations were supplemented with observations during structured (Kumon) training and microgenetic testing. The boy's everyday use of "two" did not become highly reliable and selective for 10 months (at 28 months), emerged later than that of words representing less abstract concepts, and was used in a relatively abstract manner to describe various visible pairs of items. He quickly generalized "two" to partially visible collections and then those that were not visible. Highly reliable use of "one" and "two" appeared to develop simultaneously, before he started using a plural rule, and before he could put out two items upon request. Reliable and accurate use of number words in everyday situations, particularly child-initiated efforts, preceded such use in the contexts of the Kumon training and microgenetic testing, both of which involved adult-initiated tasks. Educational implications include underscoring differences among the first number words by contrasting, for instance, one with two, and pointing out non-examples of a number ("not two") as well as a wide variety of examples, such as "two blocks, two hands, two socks, two airplanes."
AB - A mother tracked her preschooler's number word development daily from 18 to 49 months of age. Naturalistic observations were supplemented with observations during structured (Kumon) training and microgenetic testing. The boy's everyday use of "two" did not become highly reliable and selective for 10 months (at 28 months), emerged later than that of words representing less abstract concepts, and was used in a relatively abstract manner to describe various visible pairs of items. He quickly generalized "two" to partially visible collections and then those that were not visible. Highly reliable use of "one" and "two" appeared to develop simultaneously, before he started using a plural rule, and before he could put out two items upon request. Reliable and accurate use of number words in everyday situations, particularly child-initiated efforts, preceded such use in the contexts of the Kumon training and microgenetic testing, both of which involved adult-initiated tasks. Educational implications include underscoring differences among the first number words by contrasting, for instance, one with two, and pointing out non-examples of a number ("not two") as well as a wide variety of examples, such as "two blocks, two hands, two socks, two airplanes."
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U2 - 10.1080/07370008.2011.583370
DO - 10.1080/07370008.2011.583370
M3 - Article
AN - SCOPUS:79960257227
SN - 0737-0008
VL - 29
SP - 265
EP - 296
JO - Cognition and Instruction
JF - Cognition and Instruction
IS - 3
ER -