https://www.mdpi.com/2079-3200/7/4/24
Kevin S. McGrew, PhD
Educational & School Psychologist
Director
Institute for Applied Psychometrics (IAP)
https://www.themindhub.com
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The contributions of domain-general abilities and domain-specific knowledge to subsequent mathematics achievement were longitudinally assessed (n = 167) through 8th grade. First grade intelligence and working memory and prior grade reading achievement indexed domain-general effects, and domain-specific effects were indexed by prior grade mathematics achievement and mathematical cognition measures of prior grade number knowledge, addition skills, and fraction knowledge. Use of functional data analysis enabled grade-by-grade estimation of overall domain-general and domain-specific effects on subsequent mathematics achievement, the relative importance of individual domain-general and domain-specific variables on this achievement, and linear and nonlinear across-grade estimates of these effects. The overall importance of domain-general abilities for subsequent achievement was stable across grades, with working memory emerging as the most important domain-general ability in later grades. The importance of prior mathematical competencies on subsequent mathematics achievement increased across grades, with number knowledge and arithmetic skills critical in all grades and fraction knowledge in later grades. Overall, domain-general abilities were more important than domain-specific knowledge for mathematics learning in early grades but general abilities and domain-specific knowledge were equally important in later grades. (PsycINFO Database Record (c) 2017 APA, all rights reserved)
Across the various editions of the WJ Tests of Cognitive Abilities (WJ, WJ-R, WJ III, WJ IV), the authors continually have sought to improve the measurement of intelligence via following contemporary research and theory. As a result, in contrast to many other IQ tests, the WJ has been known for global IQ scores (original called Broad Cognitive Ability, later changed to General Intellectual Ability) that changed rather dramatically from one revision to the next. We the WJ authors might be considered to be the Elon Musk of IQ test development.
I was recently asked to explain the changing nature of the BAC/GIA scores. The result is the table inserted below (double click to enlarge). I believe the table is self-explanatory. A nice PDF copy can be downloaded here. Enjoy.