Skip to main content

Advertisement

Log in

Examining Incremental Rehearsal: Multiplication Fluency with Fifth-Grade Students with Math IEP Goals

  • Published:
Contemporary School Psychology Aims and scope Submit manuscript

Abstract

Reports show that only 40% of 4th-grade students are proficient in math and American students are failing to demonstrate proficiency in key areas of mathematics (National Center for Educational Statistics 2011). Improving students’ fluency of basic math multiplication facts has been recommended as a way to increase math proficiency (Psychology in the Schools, 47:342–353, 2010). Incremental rehearsal is one promising strategy for improving multiplication skills. In this study, three 5th-grade students with disabilities who had Individual Education Plan math goals received one-to-one multiplication instruction using an incremental rehearsal strategy twice per week for 7 weeks. Data indicated immediate and large effects with intervention and growth rates for each student that exceeded expectations. Implications are discussed including the importance of considering both statistically significant and instructionally meaningful results in interpretation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Adelman, C. (2006). The toolbox revisited: Paths to degree completion from high school through college. Washington, DC: U.S. Department of Education.

    Google Scholar 

  • Barlow, D. H., & Hersen, M. (1984). Single case experimental designs: Strategies for studying behavior change (2nd ed.). Boston: Allyn & Bacon.

    Google Scholar 

  • Burns, M. K. (2004). Empirical analysis of drill ratio rest-arch: Refining the instructional level for drill tasks. Remedial and Special Education, 25(3), 167–175.

    Article  Google Scholar 

  • Burns, M. K. (2005). Using incremental rehearsal to increase fluency of single-digit multiplication facts with children identified as learning disabled in mathematics computation. Education and Treatment of Children, 28(3), 237–249.

    Google Scholar 

  • Burns, M. K. (2007). Reading at the instructional level with children identified as learning disabled: Potential implications for response-to-intervention. School Psychology Quarterly, 22, 250–313.

    Article  Google Scholar 

  • Burns, M. K., & Boice, C. H. (2009). Comparison of the relationship between words retained and intelligence for three instructional strategies among students with low IQ. School Psychology Review, 38, 284–292.

    Google Scholar 

  • Burns, M. K., Dean, V. J., & Foley, S. (2004). Preteaching unknown key words with incremental rehearsal to improve reading fluency and comprehension with children identified as reading disabled. Journal of School Psychology, 42(4), 303–314.

    Article  Google Scholar 

  • Burns, M. K., VanDerHeyden, A. M., & Jiban, C. (2006). Assessing the instructional level for mathematics: A comparison of methods. School Psychology Review, 35, 401–418.

    Google Scholar 

  • Burns, M. K., Hodgson, J., Parker, D. C., & Fremont, K. (2011). Comparison of the effectiveness and efficiency of text previewing and pre-teaching keywords as small-group reading comprehension strategies with middle school students. Literacy Research and Instruction, 50, 241–252.

    Article  Google Scholar 

  • Burns, M. K., Zaslofsky, A. F., Kanive, R., & Parker, D. C. (2012). Meta-analysis of incremental rehearsal: Using phi coefficients to compare single-case and group designs. Journal of Behavioral Education, 21, 185–202.

    Article  Google Scholar 

  • Codding, R. S., Archer, J., & Connell, J. (2010). A systematic replication and extension of using incremental rehearsal to improve multiplication skills: An investigation of generalization. Journal of Behavioral Education, 19(1), 93–105.

    Article  Google Scholar 

  • Cohen, J. (1988). Statistical power analysis for the behavioral sciences. New York: Academic Press.

    Google Scholar 

  • Deno, S. L., & Mirkin, P. K. (1977). Data-based program modification: A manual. Reston: Council for Exceptional Children.

    Google Scholar 

  • DuBois, M. R., Volpe, R. J., & Hemphill, E. M. (2014). A randomized trial of a computer-assisted tutoring program targeting letter sound expression via incremental rehearsal. School Psychology Review, 43, 210–221.

    Google Scholar 

  • Eckert, T. L., Hintze, J. M., & Shapiro, E. S. (1999). Development and refinement of a measure for assessing the acceptability of assessment methods: The assessment rating profile-revised. Canadian Journal of School Psychology, 15(1), 21–42.

    Article  Google Scholar 

  • Garcia, D., Joseph, L. M., Alber-Morgan, S., & Konrad, M. (2014). Efficiency or oral incremental rehearsal versus written incremental rehearsal on students’ rate, retention, and generalization of spelling words. School Psychology Forum: Research in Practice, 8(2), 113–129.

    Google Scholar 

  • Hosp, J. L., & Ardoin, S. P. (2008). Assessment for instructional planning. Assessment for Effective Intervention, 33(2), 69–77.

    Article  Google Scholar 

  • 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: Guilford.

    Google Scholar 

  • Iowa Testing Programs. (2012). Iowa assessments. Rolling Meadows: Riverside.

    Google Scholar 

  • Joseph, L. M. (2006). Incremental rehearsal: A flashcard drill technique for increasing retention of reading words. The Reading Teacher, 59(8), 803–807.

    Article  Google Scholar 

  • Joseph, L., Eveleigh, E., Konrad, M., Neef, N., & Volpe, R. (2012). Comparison of the efficiency of two flashcard drill methods on children’s reading performance. Journal of Applied School Psychology, 28(4), 317–337.

    Article  Google Scholar 

  • Kazdin, A. E. (2011). Single case experimental designs: Strategies for studying behavior change (2nd ed.). Boston: Allyn & Bacon.

    Google Scholar 

  • Kennedy, C. H. (2005). Single-case designs for educational research. Boston: Allyn & Bacon.

    Google Scholar 

  • Ketterlin-Geller, L. R., Chard, D. J., & Fien, H. (2008). Making connections in mathematics: Conceptual mathematics intervention for low-performing students. Remedial and Special Education, 29, 33–45.

    Article  Google Scholar 

  • Kratochwill, T. R. (1992). Single-case research design and analysis: An overview. In T. R. Kratochwill& J. R. Levin (Eds.) Single-case research design and analyses: New directions for psychology and education (pp. 1–14). Hillsdale, NJ: Erlbaum.

  • Kupzyk, S., Daly, E. J., & Andersen, M. N. (2011). A comparison of two flash-card methods for improving sight-word reading. Journal of Applied Behavior Analysis, 44(4), 781–792.

    Article  PubMed  PubMed Central  Google Scholar 

  • Ma, H. H. (2006). An alternative method for quantitative synthesis of single-subject research: Percentage of data points exceeding the median. Behavior Modification, 30, 598–617.

    Article  PubMed  Google Scholar 

  • MacQuarrie, L. L., Tucker, J. A., Burns, M. K., & Hartman, B. (2002). Comparison of retention rates using traditional, drill sandwich, and incremental rehearsal flashcard methods. School Psychology Review, 31, 584–595.

    Google Scholar 

  • McDougal, J. L., Graney, S. B., Wright, J. A., & Ardoin, S. P. (2010). RTI in practice: A practical guide to implementing effective evidence-based interventions in your school. Hoboken: John Wiley & Sons, Inc..

    Google Scholar 

  • McGraw-Hill Education. (2007). Everyday math. New York: Author.

    Google Scholar 

  • National Center for Education Statistics. (2011). The nation’s report card: Mathematics 2011. Washington, DC: National Center for Education Statistics Press.

  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington: U.S. Department of Education.

    Google Scholar 

  • Nist, L., & Joseph, L. M. (2008). Effectiveness and efficiency of flashcard drill instructional methods on urban first-graders’ word recognition, acquisition, maintenance, and generalization. School Psychology Review, 37, 294–308.

    Google Scholar 

  • Northwest Evaluation Association. (2014). Measures of academic progress. Portland: Author.

    Google Scholar 

  • Petersen-Brown, S., & Burns, M. K. (2011). Adding a vocabulary component to incremental rehearsal to enhance retention and generalization. School Psychology Quarterly, 26(3), 245–255.

    Article  Google Scholar 

  • Poncy, B. C., Skinner, C. H., & Axtell, P. K. (2010). An investigation of detect, practice, and repair to remedy math fact deficits in a group of third grade students. Psychology in the Schools, 47(4), 342–353.

    Google Scholar 

  • Rahn, N. L., Wilson, J., Egan, A., Brandes, D., Kunkel, A., Peterson, M., & McComas, J. (2015). Using incremental rehearsal to teach letter sounds to English language learners. Education & Treatment of Children, 38(1), 71–91.

    Article  Google Scholar 

  • Renaissance Learning. (2014). STAR math: Technical manual. Wisconsin Rapids: Author.

    Google Scholar 

  • Shapiro, E. S. (2011). Academic skills problems: Direct assessment and intervention (4th ed.). New York: Guilford.

    Google Scholar 

  • Skinner, C. H., Belfiore, P. J., Mace, H. W., Williams-Wilson, S., & Johns, G. A. (1997). Altering response topography to increase response efficiency and learning rates. School Psychology Quarterly, 12(1), 54–64.

    Article  Google Scholar 

  • Skinner, C. H., Pappas, D. N., & Davis, K. A. (2005). Enhancing academic engagement: Providing opportunities for responding and influencing students to choose to respond. Psychology in the Schools, 42(4), 389–403.

    Article  Google Scholar 

  • Szadokierski, I., & Burns, M. K. (2008). Analogue evaluation of the effects of opportunities to respond and rations of known items within drill rehearsal of Esperanto words. Journal of School Psychology, 46, 593–609.

    Article  PubMed  Google Scholar 

  • Tom Snyder Productions. (2011). FASTT math. New York: Scholastic.

    Google Scholar 

  • United States Department of Education. (1997). Mathematics equal opportunity: White paper prepared for US Secretary of Education Richard Riley. Washington, DC: Author.

    Google Scholar 

  • Varma, S., & Schleisman, K. B. (2014). The cognitive underpinnings of incremental rehearsal. School Psychology Review, 43, 222–228.

    Google Scholar 

  • Volpe, R. J., Burns, M. K., DuBois, M., & Zaslofsky, A. F. (2011). Computer-assisted tutoring: Teaching letter sounds to kindergarten students using incremental rehearsal. Psychology in the Schools, 48, 332–342.

    Article  Google Scholar 

  • Zaslofsky, A. F., Scholin, S. E., Burns, M. K., & Varma, S. (2016). Comparison of opportunities to respond and generation effect as potential causal mechanisms for incremental rehearsal with multiplication combinations. Journal of School Psychology, 55, 71–78.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Samantha M. McVancel.

Ethics declarations

Ethical Approval

All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.

Informed Consent

All data were collected according to APA’s ethical guidelines. Data were collected by the first author, who was working in the schools and delivering the intervention. Because of this and because the data represent standard educational practice which IRB does not define as research, informed consent was not collected formally outside the IEP process.

Conflict of Interest

The authors declare that they have no competing interests.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

McVancel, S.M., Missall, K.N. & Bruhn, A.L. Examining Incremental Rehearsal: Multiplication Fluency with Fifth-Grade Students with Math IEP Goals. Contemp School Psychol 22, 220–232 (2018). https://doi.org/10.1007/s40688-018-0178-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40688-018-0178-x

Keywords

Navigation