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A Randomized Controlled Trial of the Morningside Math Facts Curriculum on Fluency, Stability, Endurance and Application Outcomes

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Abstract

A randomized controlled trial was used to evaluate the impact of a frequency-building curriculum to increase the fluency of component mathematics skills in a sample of 28 males aged 9–11 years. Assessments of mathematical ability were conducted before and after the training period to evaluate the impact of learning component skills fluently on endurance, stability and application of mathematical skills. Statistically significant differences between the experimental training group and treatment-as-usual control group were found on measures of fluency, endurance, stability and one subtest of the Wechsler Individual Achievement test of mathematical ability. Results indicate the efficacy of the frequency-building curriculum in promoting fluency with component skills. Results are discussed in light of research and theory in the area of instructional design and behavioral fluency enhancement.

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References

  • Billington, E. J., Skinner, C. H., & Cruchon, N. M. (2004). Improving sixth-grade students’ perceptions of high-effort assignments by assigning more work: Interaction of additive interspersal and assignment effort on assignment choice. Journal of School Psychology, 42(6), 477–490. doi:10.1016/j.jsp.2004.08.003.

    Article  Google Scholar 

  • Binder, C. (1996). Behavioral fluency: Evolution of a new paradigm. The Behavior Analyst, 19(2), 163.

    PubMed Central  PubMed  Google Scholar 

  • Binder, C., Haughton, E., & Van Eyk, D. (1990). Precision teaching attention span. Teaching Exceptional Children, 22(3), 24–27.

    Google Scholar 

  • Bliss, S. L., Skinner, C. H., McCallum, E., Saecker, L. B., Rowland-Bryant, E., & Brown, K. S. (2010). A comparison of taped problems with and without a brief post-treatment assessment on multiplication fluency. Journal of Behavioral Education, 19(2), 156–168. doi:10.1007/s10864-010-9106-5.

    Article  Google Scholar 

  • Brady, K. K., & Kubina, R. M. (2010). Endurance of multiplication fact fluency for students with attention deficit hyperactivity disorder. Behavior Modification, 34(2), 79–93. doi:10.1177/0145445510361331.

    Article  PubMed  Google Scholar 

  • Bucklin, B. R., Dickinson, A. M., & Brethower, D. M. (2000). A comparison of the effects of fluency training and accuracy training on application and retention. Performance Improvement Quarterly, 13, 140–163. doi:10.1111/j.1937-8327.2000.tb00180.x.

    Article  Google Scholar 

  • Carr, M., & Alexeev, N. (2011). Fluency, accuracy, and gender predict developmental trajectories of arithmetic strategies. Journal of Educational Psychology, 103(3), 617. doi:10.1037/a0023864.

    Article  Google Scholar 

  • Carr, M., Steiner, H. H., Kyser, B., & Biddlecomb, B. (2008). A comparison of predictors of early emerging gender differences in mathematics competency. Learning and Individual Differences, 18(1), 61–75. doi:10.1016/j.lindif.2007.04.005.

    Article  Google Scholar 

  • Cavallini, F., & Perini, S. (2009). Comparison of teaching syllables or words on reading rate. European Journal of Behavior Analysis, 10, 225–263.

    Google Scholar 

  • Chafouleas, S. M., Sanetti, L. M., Kilgus, S. P., & Maggin, D. M. (2012). Evaluating sensitivity to behavioral change using direct behavior rating single-item scales. Exceptional Children, 78(4), 491–505.

    Google Scholar 

  • Chiesa, M., & Robertson, A. (2000). Precision teaching and fluency training: Making maths easier for pupils and teachers. Educational Psychology in Practice, 16(3), 297–310. doi:10.1080/713666088.

    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. doi:10.1007/s10864-010-9102-9.

    Article  Google Scholar 

  • Codding, R. S., Hilt-Panahon, A., Panahon, C. J., & Benson, J. L. (2009). Addressing mathematics computation problems: A review of simple and moderate intensity interventions. Education and Treatment of Children, 32(2), 279–312.

    Article  Google Scholar 

  • Cohen, J. D., Servan-Schreiber, D., & McClelland, J. C. (1992). A parallel distributed processing approach to automaticity. American Journal of Psychology, 2, 239–269.

    Article  Google Scholar 

  • Department of Education and Science (2000). Learning-support Guidelines. Retrieved from http://www.sess.ie/sites/default/files/Learning%20Support%20Guidelines.pdf.

  • Fabrizio, M. A., & Moors, A. L. (2003). Evaluating mastery: Measuring instructional outcomes for children with autism. European Journal of Behavior Analysis, 4(1/2), 23–36.

    Google Scholar 

  • Geary, D. C., Hoard, M. K., Nugent, L., & Bailey, D. H. (2012). Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five-year prospective study. Journal of Educational Psychology, 104(1), 206. doi:10.1037/a0025398.

    Article  Google Scholar 

  • Gross, T. J., Duhon, G. J., Hansen, B., Rowland, J. E., Schutte, G., & Williams, J. (2013). The effect of goal-line presentation and goal selection on first-grader subtraction fluency. The Journal of Experimental Education, 81, 1–17. doi:10.1080/00220973.2013.813369.

    Article  Google Scholar 

  • Haring, N. G., & Eaton, M. D. (1978). Systematic instructional procedures: An instructional hierarchy. In N. G. Haring, T. C. Lovitt, M. D. Eaton, & C. L. Hansen (Eds.), The fourth R: Research in the classroom (pp. 23–40). Columbus: Charles E. Merrill Publishing Co.

    Google Scholar 

  • Hartnedy, S. L., Mozzoni, M. P., & Fahoum, Y. (2005). The effect of fluency training on math and reading skills in neuropsychiatric diagnosis children: A multiple baseline design. Behavioral Interventions, 20(1), 27–36. doi:10.1002/bin.167.

    Article  Google Scholar 

  • Haughton, E. C. (1980). Practicing practices: Learning by activity. Journal of Precision Teaching, 1(3), 3–20.

    Google Scholar 

  • Johnson, K. (2008). Morningside mathematics fluency: Math facts (Vols. 1–6; curriculum program). Seattle, WA: Morningside Press.

  • Johnson, K., & Layng, T. J. (1992). Breaking the structuralist barrier: Literacy and numeracy with fluency. American Psychologist, 47(11), 1475. doi:10.1037/0003-066X.47.11.1475.

    Article  PubMed  Google Scholar 

  • Johnson, K., & Layng, T. J. (1994). The morningside model of generative instruction. In R. Gardner, D. Sainato, J. Cooper, T. Heron, W. Heward, J. Eshleman, & T. Grossi (Eds.), Behavior analysis in education: Focus on measurably superior instruction (pp. 173–197). Belmont, CA: Brooks/Cole.

    Google Scholar 

  • Johnson, K., & Street, E. M. (2013). Response to intervention and precision teaching. NewYork: The Guilford Press.

    Google Scholar 

  • Kubina, R. M., Young, A., & Kilwein, M. (2004). Examining an effect of fluency: Application of letter sound writing and oral word segmentation to spelling words. Learning Disabilities, 13, 17–23.

    Google Scholar 

  • Kubina, R. M., & Yurich, K. K. L. (2012). The precision teaching book. Lemont, PA: Greatness Achieved Publishing Company.

    Google Scholar 

  • Lin, F. Y., & Kubina, R. M, Jr. (2005). A preliminary investigation of the relationship between fluency and application for multiplication. Journal of Behavioral Education, 14(2), 73–87. doi:10.1007/s10864-005-2703-z.

    Article  Google Scholar 

  • Lipsey, M. W., & Hurley, S. M. (2009). Design sensitivity: Statistical power for applied experimental research. In L. Bickman & D. J. Rog (Eds.), The sage handbook of applied social research methods (pp. 44–76). Thousand Oaks: SAGE publications, Inc.

    Chapter  Google Scholar 

  • Logan, P., & Skinner, C. H. (1998). Improving students’ perceptions of a mathematics assignment by increasing problem completion rates: Is problem completion a reinforcing event? School Psychology Quarterly, 13(4), 322. doi:10.1037/h0088988.

    Article  Google Scholar 

  • Martens, B. K., & Witt, J. C. (2004). Competence, persistence, and success: The positive psychology of behavioral skill instruction. Psychology in the Schools, 41(1), 19–30. doi:10.1002/pits.10135.

    Article  Google Scholar 

  • McDowell, C., & Keenan, M. (2001). Developing fluency and endurance in a child diagnosed with attention deficit hyperactivity disorder. Journal of Applied Behavior Analysis, 34(3), 345–348. doi:10.1901/jaba.2001.34-345.

    Article  PubMed Central  PubMed  Google Scholar 

  • Organisation for Economic Co-operation and Development (2010). Programme for International Student Assessment 2009: What students know and can doStudent performance in reading, mathematics and science.

  • Organisation for Economic Co-operation and Development (2014). Programme for International Student Assessment 2012: Results in Focus: What 15 year-olds know and what they can do with what they know.

  • Poncy, B. C., Duhon, G. J., Lee, S. B., & Key, A. (2010). Evaluation of techniques to promote generalization with basic math fact skills. Journal of Behavioral Education, 19(1), 76–92. doi:10.1007/s10864-010-9101-x.

    Article  Google Scholar 

  • Poncy, B. C., Fontenelle, S. F, I. V., & Skinner, C. H. (2013). Using detect, practice, and repair (DPR) to differentiate and individualize math fact instruction in a class wide setting. Journal of Behavioral Education, 22(3), 211–228. doi:10.1007/s10864-013-9171-7.

    Article  Google Scholar 

  • Shapiro, E. S. (2004). Academic Skills Problems work-book (rev.). New York: Guilford Press.

    Google Scholar 

  • Skinner, C. H. (2002). An empirical analysis of interspersal research: Evidence, implications, and applications of the discrete task completion hypothesis. Journal of School Psychology, 40(4), 347–368. doi:10.1016/s0022-4405(02)00101-2.

    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. doi:10.1002/pits.20065.

    Article  Google Scholar 

  • Wechsler, D. (2005). The Wechsler individual achievement test (2nd ed.). London: Harcourt Assessment.

    Google Scholar 

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Correspondence to Jennifer Holloway.

Appendix

Appendix

 

Yes

No

1. It is important to learn your math well

  

2. I enjoyed practicing my math

  

3. I learned my math well

  

4. I liked trying to get my goal

  

5. I am faster with addition and subtraction now

  

6. I enjoyed working really fast and trying to beat the timer

  

7. Getting faster with addition and subtraction has helped me with my math in class

  

8. Getting my goals made me happy/feel confident

  

9. It’s important to know addition and subtraction off by heart—it helps me answer my math better

  

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McTiernan, A., Holloway, J., Healy, O. et al. A Randomized Controlled Trial of the Morningside Math Facts Curriculum on Fluency, Stability, Endurance and Application Outcomes. J Behav Educ 25, 49–68 (2016). https://doi.org/10.1007/s10864-015-9227-y

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  • DOI: https://doi.org/10.1007/s10864-015-9227-y

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