College Readiness Assessment

The College Readiness Assessment (CRA) is a learning progression-based measure of the trajectory of students’ abilities to connect representations of mathematical functions in grades 6-12. As a formative assessment building on cognitive research in mathematics learning, the CRA aims to help students transition smoothly from middle school to college-level math coursework. In contrast to other college readiness tests, which focus on quantitatively scoring the correctness of students’ answers, the CRA uses multi-level items to measure students’ mathematical proficiency from a cognitive perspective. CRA’s six levels of progression intend to show how students’ mathematical understanding and thinking developed rather than how correctly students answered the questions. CRA’s applicability to socioculturally diverse contexts has not been studied extensively.

Year developed: 2011.


6th Grade,
7th Grade,
8th Grade,
9th Grade,
10th Grade,
11th Grade,
12th Grade

Administration Information

Access and Use


Diana Bernbaum Wilmot, e-mail:

Use in Research

Ayalon, M., Watson, A., & Lerman, S. (2015). Functions represented as linear sequential data: relationships between presentation and student responses. Educational Studies in Mathematics, 90, 321-339.


Psychometric References

Wilmot, B. D., Schoenfeld, A., Wilson, M., Champney, D., & Zahner, W. (2011). Validating a learning progression in mathematical functions for college readiness. Mathematical Thinking and Learning, 13(4), 259-291. 

Psychometric Considerations

Psychometrics is the science of psychological assessment. A primary goal of EdInstruments is to provide information on crucial psychometric topics including Validity and Reliability – essential concepts of evaluation, which indicate how well an instrument measures a construct - as well as additional properties that are worthy of consideration when selecting an instrument of measurement.

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