Preschoolers doing arithmetic: the concepts are willing but the working memory is weak

Area of Science:

• Cognitive Psychology
• Developmental Psychology
• Mathematics Education

Background:

• Early mathematical development is crucial for academic success.
• Understanding children's cognitive processes informs instructional strategies.

Purpose of the Study:

• To investigate information-processing demands in early arithmetic.
• To determine if preschoolers spontaneously use arithmetic principles.

Main Methods:

• Presented nonverbal two- and three-term arithmetic problems to 4-year-olds.
• Assessed accuracy in relation to representational set size (working memory).

Main Results:

• Accuracy on simple arithmetic (a + b, a - b) strongly correlated with representational set size (r2 = .88).
• Some children spontaneously applied the inversion principle (a + b - b).

Conclusions:

• Working memory capacity significantly impacts early arithmetic performance.
• Preschoolers demonstrate emerging conceptual understanding in mathematics.