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Autor/inn/en | Cheung, Pierina; Ansari, Daniel |
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Titel | Cracking the Code of Place Value: The Relationship between "Place" and "Value" Takes Years to Master |
Quelle | In: Developmental Psychology, 57 (2021) 2, S.227-240 (14 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Zusatzinformation | ORCID (Cheung, Pierina) ORCID (Ansari, Daniel) |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0012-1649 |
DOI | 10.1037/dev0001145 |
Schlagwörter | Number Concepts; Children; Child Development; Age Differences; Learning; Evaluative Thinking; Foreign Countries; Knowledge Level; Mathematics Instruction; Canada |
Abstract | "Place value," which underlies the meanings of multidigits, encompasses the principle of position and base-10 rules. To understand 65, one needs to know that the digits 6 and 5 occupy different positions and thus represent ordered values of different magnitudes (i.e., the "principle of position") and that the value of each position is determined by base-10 rules (i.e., the rightmost position is 10[superscript 0], followed by 10[superscript 1], 10[superscript 2], etc.). Without the principle of position, children cannot construct meanings for multidigits. Previous studies have shown that children do not know the exact value of digit positions until the early elementary school years, but less is known about the acquisition of positional knowledge for multidigits. To study when and how children construct a relationship between position and value, we explore when children begin to know that the leftmost digit represents the largest value and whether such knowledge relates to learning number names. Children ages 4 to 7 years, from primarily Caucasian, middle-class families were asked to compare different pairs of multidigits. Some comparisons (e.g., 12 vs. 21) required knowledge of positional property, and some did not (e.g., 35 vs. 36). We found that as a group, 6-year-old children could recruit positional knowledge to compare multidigits. We also found that children who knew the number names of both multidigits in a comparison pair were above chance on multidigit comparison. Our results shed light on the developmental steps toward acquiring place-value notation and highlight a role of learning number names for learning positional property of the place-value notation. (As Provided). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |