Computational fluency and strategy choice predict individual and cross-national differences in complex arithmetic.

Area of Science:

• Cognitive Psychology
• Educational Psychology
• Developmental Psychology

Background:

• Early arithmetic experience shapes children's mathematical abilities.
• Understanding computational strategies and number fact fluency is crucial for complex problem-solving.

Purpose of the Study:

• To investigate the predictive relationship between basic number fact fluency, strategy knowledge, and complex arithmetic performance in young children.
• To examine cross-national differences in arithmetic accuracy and the mediating roles of fluency and strategy use.

Main Methods:

• Administered single-, mixed-, and double-digit addition problems to first-grade students (N=152) from the United States and Taiwan.
• Analyzed children's strategy use (e.g., decomposition) and computational fluency in relation to problem difficulty and accuracy.
• Employed mediation analysis to explore cross-national differences.

Main Results:

• Children's strategy use adapted to problem difficulty, aligning with Siegler's strategy choice theory.
• The decomposition strategy interacted with computational fluency to predict accuracy on double-digit addition.
• Computational fluency and decomposition strategy fully mediated differences in accuracy between US and Taiwanese students.

Conclusions:

• Both fluency with basic number facts and the use of the decomposition strategy are vital for proficient arithmetic performance.
• Interventions aimed at improving number fact fluency and strategy knowledge can enhance children's complex arithmetic skills.
• Cultural factors in early arithmetic education may influence strategy use and fluency development.