Gp. Baxter et al., MATHEMATICS PERFORMANCE ASSESSMENT - TECHNICAL QUALITY AND DIVERSE STUDENT IMPACT, Journal for research in mathematics education, 24(3), 1993, pp. 190-216
Reform in mathematics education calls for a closer tie between instruc
tion and assessment. This study developed performance assessments from
hands-on instructional activities and examined their reliability and
validity for obtaining individual achievement data in large-scale surv
eys. The major source of unreliability was the tasks, not the raters.
Many tasks are needed to get a dependable measure of a student's mathe
matics achievement. With respect to validity, results suggested that t
he performance assessments measure different aspects of mathematics ac
hievement than do traditional multiple-choice tests. Moreover, the per
formance assessments, but not the multiple-choice test, distinguished
the performance of students in hands-on and traditional curricula with
the former scoring higher, on average, than the latter. Ethnic group
comparisons indicated that Anglos scored higher, on average, than Lati
nos on all achievement measures. The magnitude of the difference varie
d by the curricular experience of the student. For students in traditi
onal curricula, qualitative analysis indicates that Anglo and Latino s
tudents approached the problems similarly, made the same types of erro
rs, and employed the same strategies in solving the mathematics proble
ms.