Refining the quantitative pathway of the Pathways to Mathematics model

Area of Science:

• Cognitive Psychology
• Developmental Psychology
• Educational Psychology

Background:

• The Pathways to Mathematics model proposes three cognitive domains: quantitative, linguistic, and working memory.
• These domains are thought to uniquely contribute to children's mathematical development.

Purpose of the Study:

• To refine the quantitative pathway by integrating subitizing, counting, and symbolic magnitude comparison skills.
• To examine the unique contributions of quantitative, linguistic, and working memory pathways to numerical and reading outcomes.
• To control for processing speed, parental education, and gender in the analyses.

Main Methods:

• Principal components analysis was used to combine quantitative skills.
• The study involved 141 children in Grades 2 and 3.
• Numerical outcomes (backward counting, arithmetic fluency, calculation, number system knowledge) and a reading measure were assessed.

Main Results:

• Quantitative, linguistic, and working memory pathways uniquely predicted backward counting and arithmetic fluency.
• Quantitative and linguistic pathways, but not working memory, predicted calculation and number system knowledge.
• Only the linguistic pathway predicted the reading measure.

Conclusions:

• The relative importance of quantitative, linguistic, and working memory skills varies based on the specific cognitive task.
• Findings support the distinct yet interactive roles of these cognitive pathways in academic development.