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Summary
This summary is machine-generated.

Spearman's Law of Diminishing Returns (SLODR) shows general intelligence impacts math more for lower ability students. Higher general cognitive abilities predict math skills better in average and high ability learners.

Keywords:
Spearman’s Law of Diminishing Returnsacademic skillscognitive abilitycognitive–achievement relations

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Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Psychometrics

Background:

  • Spearman's Law of Diminishing Returns (SLODR) posits differential predictive power of general intelligence and broad cognitive abilities on academic skills based on general ability levels.
  • Limited research has explored how cognitive-mathematics relationships vary across different general cognitive ability strata.

Purpose of the Study:

  • To investigate whether the relationships between cognitive abilities and mathematics differ across varying levels of general cognitive ability in school-aged children.
  • To test the applicability of Spearman's Law of Diminishing Returns to the cognitive-mathematics domain.

Main Methods:

  • Utilized multi-group structural equation modeling to analyze data from large standardization samples of the Woodcock-Johnson Tests of Achievement, Third and Fourth Editions.
  • Examined cognitive-mathematics relations in two distinct school-aged cohorts: grades 1-5 and grades 6-12.

Main Results:

  • Confirmed that the relationships between cognitive abilities and mathematics performance are contingent upon general ability levels.
  • General intelligence demonstrated a stronger relative influence on mathematics outcomes for individuals with lower general ability.
  • Broad cognitive abilities exhibited a stronger relative predictive effect on mathematics for those with average and high general ability.

Conclusions:

  • Findings support a nuanced understanding of cognitive-mathematics relations, aligning with predictions derived from Spearman's Law of Diminishing Returns.
  • The relative importance of general intelligence versus broad cognitive abilities in predicting mathematical skills is moderated by an individual's overall cognitive capacity.