Cited by 508Cognitive and developmental aspects of mathematical skillsMathematics Education and PedagogyMemory Processes and Influences

Strategy choice procedures and the development of multiplication skill.

Siegler, Robert S.·1988·Journal of Experimental Psychology: General

Abstract

Many intelligent strategy choices may be accomplished through relatively low-level cognitive processes. This article describes a detailed model of how such "mindless" processes might lead to intelligent choices of strategies in one common situation: that in which people need to choose between stating a retrieved answer and using a backup strategy. Several experiments testing the model's applicability to children's single-digit multiplication are reported. These include tests of predictions about when different strategies are used and how early experience shapes later performance. Then, the sufficiency of the model to generate both performance at any one time and changes in performance over time is tested through the medium of a running computer simulation of children's multiplication. The simulation acquires a considerable amount of multiplication knowledge, and its learning and performance parallel those of children in a number of ways. Finally, several implications of the model for understanding cognitive self-regulation and cognitive development are discussed.

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Crossref · 10.1037/0096-3445.117.3.258

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Authors
Siegler, R. S.
Affiliations
Carnegie Mellon University (US)
Corresponding author
Siegler, Robert S.
Venue
Journal of Experimental Psychology: General
Published
1988
Volume
117
Issue
3
Pages
258-275
ISSN
  • 0096-3445 (ISSN-L)
  • 1939-2222
OpenAlex
W2074647566
Cited by
508
References
54
Citations by year
2026: 11 · 2025: 12 · 2024: 17 · 2023: 7 · 2022: 11 · 2021: 6 · 2020: 11 · 2019: 13 · 2018: 18 · 2017: 13 · 2016: 19 · 2015: 10 · 2014: 15 · 2013: 28 · 2012: 24
FWCI
12.19
Type
journal article
Language
en
Open access
closed
Locations
  • Journal of Experimental Psychology General (publishedVersion)
  • PubMed (publishedVersion)
Funders
Eunice Kennedy Shriver National Institute of Child Health and Human Development (HD19011)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Cognitive and developmental aspects of mathematical skills
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematics Education and Pedagogy
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Memory Processes and Influences
Keywords
strategy selection, multiplication skills, single-digit multiplication, children's arithmetic, cognitive development, cognitive self-regulation, computational models of learning, skill acquisition
MeSH terms
Association Learning, Child, Child Development, Choice Behavior, Female, Humans, Male, Mathematics, Memory, Problem Solving, Reaction Time, Mental Recall

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