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Journal of Numerical Cognition
Article . 2019 . Peer-reviewed
Data sources: Crossref
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Journal of Numerical Cognition
Article
License: CC BY
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Journal of Numerical Cognition
Article . 2019
Data sources: DOAJ
https://dx.doi.org/10.23668/ps...
Article . 2019
License: CC BY
Data sources: Datacite
DBLP
Article . 2019
Data sources: DBLP
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Utilizing analogical reasoning to aid children’s proportional reasoning understanding

Authors: Lillian Ham; Elizabeth A. Gunderson;

Utilizing analogical reasoning to aid children’s proportional reasoning understanding

Abstract

Proportional reasoning is an important skill that relates to fraction learning and math achievement. Because both proportional and analogical reasoning involve comparing relations, we hypothesized that supports for analogical reasoning (multiple exemplars and labels) would help children match discrete proportions. Fourth and 5th graders (N = 119) completed a 16-item proportional equivalence choice task in a 2 (exemplars: one, two) x 3 (script type: juice mixing narrative, novel adjectives, no labels) x 2 (trial type: part-foil, whole-foil) mixed-effects design. The juice mixing script included common labels and a story paradigm, whereas the novel adjectives script only utilized common labels. The least-informative no-labels script served as a baseline. Results showed a significant three-way interaction between exemplars, script type, and trial type. Viewing two exemplars led to no significant differences across the other factors. However, when viewing one exemplar, children exhibited a part-matching bias with novel adjectives and no labels, but not the juice narrative. In sum, multiple exemplars and the juice narrative reduced children’s part-matching bias; we conclude that supports for analogical reasoning can aid proportional reasoning as well.

Related Organizations
Keywords

150, mathematical development, Empirical Research, analogical reasoning, BF1-990, multiple exemplars, QA1-939, Psychology, discrete quantities, common labeling, Mathematics, proportional reasoning

  • BIP!
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    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).
    3
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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Found an issue? Give us feedback
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!
3
Average
Average
Average
Published in a Diamond OA journal