Abstract
Approximately, 283 sixth-grade students completed four randomly generated Math Curriculum–Based Measures (M-CBMs) from interventioncentral.org twice during a fall semester. These M-CBMs measured foundational skills in addition, subtraction, multiplication, and division. We found that using mean fluency or accuracy scores from four M-CBMs produced more reliable test–retest estimates (e.g., r = .86–.88) in comparison with using individual scores (e.g., r = .55–.73). We also found that aggregated (mean or median) and individual M-CBM scores were strongly correlated (e.g., r = .82–.85) with the Palmetto Achievement Challenge Test (PACT) math section, an annual state standardized test. However, only aggregated M-CBMs produced efficient cut scores useful in detecting students who would pass or fail the PACT.
|
Codding, R. S., Petscher, Y., Truckenmiller, A. (2015). CBM reading, mathematics, and written expression at the secondary level: Examining latent composite relations among indices and unique predictions with a state achievement test. Journal of Educational Psychology, 107, 437–450. Google Scholar | Crossref | Medline | |
|
Cohen, J., Cohen, P., West, S., Aiken, L. (2003). Applied multiple regression/correlation analysis for the behavioral sciences (3rd ed.). London, England: Lawrence Erlbaum. Google Scholar | |
|
Consortium for Policy Research in Education . (2000). Assessment and accountability systems in the 50 states: 1999–2000. Retrieved from http://www.cpre.org/sites/default/files/assessmentprofile/947_sc.pdf Google Scholar | |
|
Deno, S. L. (2003). Developments in curriculum-based measurement. The Journal of Special Education, 37, 184–192. doi:10.1177/00224669030370030801 Google Scholar | SAGE Journals | ISI | |
|
Foegen, A., Deno, S. L. (2001). Identifying growth indicators for low-achieving students in middle school mathematics. The Journal of Special Education, 35, 4–16. Google Scholar | SAGE Journals | ISI | |
|
Foegen, A., Jiban, C., Deno, S. (2007). Progress monitoring measures in mathematics. The Journal of Special Education, 41, 121–139. doi:10.1177/00224669070410020101 Google Scholar | SAGE Journals | ISI | |
|
Hajian-Tilaki, K. (2013). Receiver operating characteristic (ROC) curve analysis for medical diagnostic test evaluation. Caspian Journal of Internal Medicine, 4, 627–635. Google Scholar | Medline | |
|
Hosp, M. K., Hosp, J. L., Howell, K. W. (2016). The ABCs of CBM: A practical guide to curriculum-based measurement (2nd ed.). New York, NY: Guilford Press. Google Scholar | |
|
Huynh, H., Barton, K., Meyer, P., Porchea, S., Gallant, D. (2005). Consistency and predictive nature of vertically moderated standards for South Carolina’s 1999 Palmetto Achievement Challenge Tests of language arts and mathematics. Applied Measurement in Education, 18, 115–128. Google Scholar | Crossref | |
|
Intervention Central . (2017). Available from www.interventioncentral.org Google Scholar | |
|
Meehl, P. E., Rosen, A. (1955). Antecedent probability and the efficiency of psychometric signs, patterns, or cutting scores. Psychological Bulletin, 52, 194–216. Google Scholar | Crossref | Medline | ISI | |
|
National Assessment of Educational Progress . (2015). NAEP 2015 national average scores. Retrieved from https://www.nationsreportcard.gov/reading_math_2015 Google Scholar | |
|
Schafer, J. L., Graham, J. W. (2002). Missing data: Our view of the state of the art. Psychological Methods, 7, 147–177. Google Scholar | Crossref | Medline | ISI | |
|
Shapiro, E. S. (2011). Academic skills problems: Direct assessment and intervention (4th ed.). New York, NY: Guilford Press. Google Scholar | |
|
Shapiro, E. S., Keller, M. A., Lutz, J. G., Santoro, L. E., Hintze, J. M. (2006). Curriculum-based measures and performance on state assessment and standardized tests: Reading and math performance in Pennsylvania. Journal of Psychoeducational Assessment, 24, 19–35. Google Scholar | SAGE Journals | ISI | |
|
Smolkowski, K., Cummings, K. D., Strycker, L. (2016). An introduction to the statistical evaluation of fluency measures with signal detection theory. In Cummings, K. D., Petscher, Y. (Eds.), The fluency construct (pp. 187–221). New York, NY: Springer. Google Scholar | Crossref | |
|
Stevenson, N. A. (2015). Predicting proficiency on statewide assessments: A comparison of curriculum-based measures in middle school. Journal of Educational Research, 108, 492–503. Google Scholar | Crossref | |
|
Strait, G. G. (2008). Psychometric properties of a brief basic math skill assessment for middle school students: Simultaneous assessment of addition, subtraction, multiplication, and division (Doctoral dissertation). University of South Carolina, Columbia. Google Scholar | |
|
Strait, G. G., Smith, B., Pender, C., Malone, P., Roberts, J., Hall, J. (2015). The reliability of randomly generated math curriculum-based measurements. Assessment of Effective Interventions, 40, 247–253. doi:10.1177/1534508415588075 Google Scholar | SAGE Journals | |
|
Thurber, R. S., Shinn, M. R., Smolkowski, K. (2002). What is measured in mathematics tests? Construct validity of curriculum-based mathematics measures. School Psychology Review, 31, 498–513. Google Scholar | ISI | |
|
Wright, J. (2013). How to: Assess mastery of math facts with CBM: Computation fluency. Available from http://www.interventioncentral.org Google Scholar |

