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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
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.
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.
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