Meaning before order: Cardinal principle knowledge predicts improvement in understanding the successor principle and exact ordering

Cognition
Elizabet SpaepenSusan C Levine

Abstract

Learning the cardinal principle (the last word reached when counting a set represents the size of the whole set) is a major milestone in early mathematics. But researchers disagree about the relationship between cardinal principle knowledge and other concepts, including how counting implements the successor function (for each number word N representing a cardinal value, the next word in the count list represents the cardinal value N + 1) and exact ordering (cardinal values can be ordered such that each is one more than the value before it and one less than the value after it). No studies have investigated acquisition of the successor principle and exact ordering over time, and in relation to cardinal principle knowledge. An open question thus remains: Is the cardinal principle a "gatekeeper" concept children must acquire before learning about succession and exact ordering, or can these concepts develop separately? Preschoolers (N = 127) who knew the cardinal principle (CP-knowers) or who knew the cardinal meanings of number words up to "three" or "four" (3-4-knowers) completed succession and exact ordering tasks at pretest and posttest. In between, children completed one of two trainings: counting only versus counting, cardinal...Continue Reading

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Citations

Dec 20, 2018·Developmental Science·Dominic J GibsonSusan Goldin-Meadow
Jan 22, 2021·Child Development·Rose M SchneiderDavid Barner
Oct 28, 2020·Proceedings of the National Academy of Sciences of the United States of America·Stephen W RaudenbushSusan C Levine
Feb 3, 2021·Developmental Science·Rose M SchneiderDavid Barner
Aug 21, 2019·Journal of Experimental Child Psychology·Felicia W ChuDavid C Geary
Jan 7, 2020·Cognitive Psychology·Rose M SchneiderDavid Barner
Aug 24, 2019·Trends in Cognitive Sciences·Susan Carey, David Barner
Jun 6, 2021·Cognition·Colin JacobsJulian Jara-Ettinger

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