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Numerical Magnitude Representations Influence Arithmetic Learning
Author(s) -
Booth Julie L.,
Siegler Robert S.
Publication year - 2008
Publication title -
child development
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.103
H-Index - 257
eISSN - 1467-8624
pISSN - 0009-3920
DOI - 10.1111/j.1467-8624.2008.01173.x
Subject(s) - arithmetic , magnitude (astronomy) , psychology , concept learning , short term memory , numerical cognition , mathematics , cognitive psychology , working memory , cognition , physics , astronomy , neuroscience
This study examined whether the quality of first graders’ (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children’s pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be predictive of their learning of answers to unfamiliar arithmetic problems. The relation to learning of unfamiliar problems remained after controlling for prior arithmetic knowledge, short‐term memory for numbers, and math achievement test scores. Moreover, presenting randomly chosen children with accurate visual representations of the magnitudes of addends and sums improved their learning of the answers to the problems. Thus, representations of numerical magnitude are both correlationally and causally related to arithmetic learning.