Cognitive arithmetic and problem solving: a comparison of children with specific and general mathematics difficulties

Area of Science:

• Cognitive Psychology
• Educational Psychology
• Developmental Neuroscience

Background:

• Mathematics difficulties (MD) affect children's academic trajectories.
• Distinguishing between specific and general MD is crucial for targeted interventions.
• Understanding the cognitive underpinnings of MD subtypes informs educational strategies.

Purpose of the Study:

• To investigate differences in problem-solving and number-fact skills between children with specific MD and general MD.
• To compare the performance of these subgroups with nonimpaired peers under timed and untimed conditions.
• To analyze the strategic approaches used by children with MD during mathematical tasks.

Main Methods:

• Comparative study involving third-grade children.
• Participants categorized into MD-specific, MD-general, and nonimpaired groups.
• Assessment of problem-solving and number-fact skills under timed and untimed conditions.
• Analysis of strategy use during untimed tasks.

Main Results:

• MD-specific group underperformed compared to nonimpaired peers only in timed conditions.
• MD-general group performed worse than nonimpaired peers in both timed and untimed conditions.
• Both MD groups used more backup strategies than nonimpaired peers.
• MD-specific group demonstrated more skillful execution of backup strategies than the MD-general group.

Conclusions:

• Children with specific MD exhibit deficits primarily in number fact retrieval, particularly under timed conditions.
• Children with general MD show more fundamental delays in conceptualizing problems and executing calculations.
• Effective strategy execution can compensate for retrieval deficits in specific MD when tasks are untimed.
• These findings highlight distinct cognitive profiles for specific versus general mathematics difficulties.