Individual Differences in Addition Strategy Choice: A Psychometric Evaluation.

Area of Science:

• Cognitive Psychology
• Educational Psychology
• Psychometrics

Background:

• The Strategy Choice Model (SCM) is a key theory in human problem-solving.
• A core tenet of SCM, accounting for both item and person variance, lacks empirical validation.
• Individual differences in problem-solving strategies are crucial for understanding academic achievement.

Purpose of the Study:

• To empirically test the central tenet of the Strategy Choice Model (SCM).
• To investigate the contribution of item and person variance in problem-solving outcomes.
• To identify problem-solving strategies of adolescents struggling with arithmetic.

Main Methods:

• Explanatory Item Response Theory (EIRT) was employed for simultaneous estimation of item and person effects.
• The study involved 376 adolescents solving addition problems.
• EIRT was used to validate the SCM's core assumptions.

Main Results:

• The central tenet of the Strategy Choice Model (SCM) was empirically confirmed using EIRT.
• The study successfully identified specific strategy choices of adolescents experiencing difficulties with basic arithmetic.
• Both item and person variance were shown to significantly contribute to problem-solving outcomes.

Conclusions:

• The integration of SCM and EIRT provides a robust framework for studying individual differences in problem-solving.
• This approach can identify students at risk for poor academic achievement based on their problem-solving patterns.
• Findings have implications for targeted interventions in mathematics education.