M. Banerji et J. Ferron, CONSTRUCT-VALIDITY OF SCORES ON A DEVELOPMENTAL ASSESSMENT WITH MATHEMATICAL PATTERNS TASKS, Educational and psychological measurement, 58(4), 1998, pp. 634-660
Three analytic approaches were employed within the framework of classi
cal test theory to examine construct validity of a mathematics assessm
ent made up of 16 ordered constructed-response tasks. The tasks focuse
d on problem solving by identifying and explaining mathematical patter
ns. Descriptive analyses across four age groups suggested a developmen
tal structure of individual tasks and subdomains that was generally co
nsistent with the intended design of the test. Acceptable fit was obta
ined using structural equation modeling procedures for a five-factor,
first-order structure with directional paths specified (RMSEA =.068) a
nd for two second-order factors (RMSEA =.068). Convergent validity coe
fficients with standardized tests in mathematics computation, concepts
of numbers, and applications indicated a modest overlap in constructs
across the two assessments (r=.47) with Stanford Achievement Test (SA
T) total mathematics scores. Findings are discussed with reference to
intended uses of the assessment and its scores in the context of curre
nt mathematics education reforms.