Number Line Estimation Predicts Mathematical Skills: Difference in Grades 2 and 4

Area of Science:

• Cognitive psychology
• Educational psychology
• Developmental psychology

Background:

• Number line estimation is recognized as fundamental for mathematical learning.
• The predictive power of number line estimation on specific mathematical skills across different grade levels, after accounting for covariates, remains underexplored.

Purpose of the Study:

• To investigate the predictive role of number line estimation on calculation fluency and math problem-solving in second and fourth graders.
• To determine if number line estimation uniquely contributes to mathematical skills beyond age, non-verbal cognitive ability, attention, and working memory.

Main Methods:

• 148 children from Shanghai, China, participated in the study.
• Participants were assessed on number line estimation, non-verbal cognitive ability (non-verbal matrices), working memory (N-back), attention (expressive attention), calculation fluency, and math problem-solving.
• Regression analyses were employed to examine unique variance explained by number line estimation.

Main Results:

• In grade 2, number line estimation significantly correlated with both calculation fluency (r = -0.27) and math problem-solving (r = -0.52).
• In grade 4, number line estimation significantly correlated with math problem-solving (r = -0.38) but not calculation fluency.
• After controlling for covariates, number line estimation uniquely predicted math problem-solving in both grades (12.0% in grade 2, 9.0% in grade 4) and calculation fluency in grade 2 (4.0%).

Conclusions:

• Number line estimation plays a significant role in math problem-solving for both second and fourth graders.
• Number line estimation is also important for calculation fluency in second graders.
• Number line estimation can serve as a valuable tool for educators to identify and support children's mathematical development.