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Mental number line, number line estimation, and mathematical achievement: Their interrelations in grades 5 and 6.

Authors: Michael Schneider; Roland H. Grabner; Jennifer Paetsch;

Mental number line, number line estimation, and mathematical achievement: Their interrelations in grades 5 and 6.

Abstract

As indicated by the distance effect and the spatial-numerical association of response codes (SNARC) effect, natural numbers are mentally represented on a number line, Purportedly, this number line underlies children's number sense, which supports the acquisition of more advanced mathematical competencies, In 3 studies with a total of 429 fifth and sixth graders, the authors compared the influences of each child's distance effect, SNARC effect, conceptual knowledge about decimal fractions, and numerical intelligence on mathematical school achievement. Additionally, they tested using decimal fractions whether number line estimation competence mediates the influence of the internal number line. In all, the results, found with path models, revealed that domain-specific conceptual knowledge, numerical intelligence, and number line estimation each were good predictors of achievement, while distance and SNARC effects were virtually unrelated to all other variables. Individual differences in the use of the internal number line, as assessed by these 2 effects, seem to be of little importance when it comes to the acquisition of the content of 5th- and 6th-grade mathematics lessons. The results instead highlight the importance of conceptual understanding and estimation competence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
137
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Top 10%
Top 10%
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