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Examining Bilingual Language Control Using the Stroop Task
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The bilingual math dilemma - Language switching costs in declarative and procedural arithmetic knowledge.

Kevin M Baumschlager1, Moritz Wußing2, Cornelia Pachner3

  • 1Department of Psychology, University of Graz, Austria.

Cognition
|June 10, 2026
PubMed
Summary

Bilinguals experience language switching costs (LSC) in both declarative and procedural arithmetic knowledge, which persist for months. These costs highlight the language-dependent nature of arithmetic skills in bilingual individuals.

Keywords:
BilingualismDeclarative arithmetic knowledgeEncoding specificityLanguage switching costsLearning processesProcedural arithmetic knowledgeTriple code model

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Area of Science:

  • Cognitive Science
  • Psycholinguistics
  • Bilingualism Research

Background:

  • Language Switching Costs (LSC) reveal language-dependency in knowledge representation.
  • Existing research shows LSC in declarative arithmetic, but not procedural arithmetic knowledge.
  • Gaps exist in understanding LSC's long-term stability, cognitive underpinnings, and relation to individual differences.

Purpose of the Study:

  • Investigate LSC in procedural arithmetic knowledge.
  • Examine the long-term stability of LSC in both declarative and procedural arithmetic.
  • Explore the relationship between LSC and cognitive competencies in bilinguals.

Main Methods:

  • Trained 122 bilingual participants on artificial arithmetic facts (declarative) and a novel procedure (procedural) over four days in L1 or L2.
  • Tested participants on trained material in both languages at 1 day, 1 week, 1 month, and 3 months post-training.
  • Collected self-reports on translation processes during testing.

Main Results:

  • LSC were observed in reaction times for both declarative and procedural arithmetic knowledge.
  • These LSC persisted for up to 3 months after training.
  • No significant associations were found between LSC and individual cognitive competencies.

Conclusions:

  • Both declarative and procedural arithmetic knowledge are language-dependent in bilinguals.
  • LSC in arithmetic are stable over at least three months.
  • Findings partially align with triple code models and have implications for understanding bilingual arithmetic cognition.