Cross-Age Peer Tutoring and Fluency-Based Instruction to Achieve Fluency with Mathematics Computation Skills: A Randomized Controlled Trial

Journal of Behavioral Education - Tập 27 Số 2 - Trang 145-171 - 2018
Irene Greene1, Aoife Mc Tiernan2, Jennifer Holloway1
1School of Psychology, National University of Ireland, Galway, Ireland
2School of Psychology, University of South Wales, Pontypridd, United Kingdom

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Axtell, P. K., McCallum, R. S., Bell, S. M., & Poncy, B. (2009). Developing math automaticity using a classwide fluency building procedure for middle school students: A preliminary study. Psychology in the Schools, 46, 526–538. https://doi.org/10.1002/pits.20395 .

Beverly, M., Hughes, J. C., & Hastings, R. P. (2009). What’s the probability of that? Using SAFMEDS to increase undergraduate success with statistical concepts. European Journal of Behavior Analysis, 10, 183–195.

Binder, C. (1996). Behavioral fluency: Evolution of a new paradigm. The Behavior Analyst, 19, 163–197. https://doi.org/10.4135/9781412950534.n3022 .

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, 156–168. https://doi.org/10.1007/s10864-010-9106-5 .

Bowman-Perrott, L., Burke, M. D., Zhang, N., & Zaini, S. (2014). Direct and collateral effects of peer tutoring on social and behavioral outcomes: A meta-analysis of single-case research. School Psychology Review, 43, 260–285.

Bowman-Perrott, L., Davis, H., Vannest, K., Williams, L., Greenwood, C., & Parker, R. (2013). Academic benefits of peer tutoring: A meta-analytic review of single-case research. School Psychology Review, 1, 39–55.

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

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

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, 61–75. https://doi.org/10.1016/j.lindif.2007.04.005 .

Casey, J., McLaughlin, T. F., & Everson, M. (2003). The effects of five minute practice, unlimited practice, with SAFMED cards on correct and error rate in math facts for two elementary school children with learning disabilities. International Journal of Special Education, 18, 66–72.

Cates, G. L., & Rhymer, K. N. (2003). Examining the relationship between mathematics anxiety and mathematics performance: An instructional hierarchy perspective. Journal of Behavioral Education, 12, 23–34. https://doi.org/10.1023/A:1022318321416 .

Chapman, S. S., Ewing, C. B., & Mozzoni, M. P. (2005). Precision teaching and fluency training across cognitive, physical, and academic tasks in children with traumatic brain injury: a multiple baseline study. Behavioral Interventions, 20, 37–49.

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, 93–105. https://doi.org/10.1007/s10864-010-9102-9 .

Codding, R. S., Burns, M. K., & Lukito, G. (2011). Meta-analysis of mathematic basic-fact fluency interventions: A component analysis. Learning Disabilities Research & Practice, 26(1), 36–47. https://doi.org/10.1111/j.1540-5826.2010.00323.x .

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, 279–312. https://doi.org/10.1353/etc.0.0053 .

Daly, E. J., Martens, B. K., Barnett, D., Witt, J. C., & Olson, S. C. (2007). Varying intervention delivery in response to intervention: Confronting and resolving challenges with measurement, instruction, and intensity. School Psychology Review, 36(4), 562–581.

Department of Education and Science. (2005). DEIS (Delivering equality of opportunities in schools) An action plan for educational inclusion. Retrieved from: https://www.education.ie/en/Publications/PolicyReports/deis_action_plan_on_educatieduc_inclusion.pdf .

Dufrene, B. A., Noell, G. H., Gilbertson, D. N., & Duhon, G. J. (2005). Monitoring implementation of reciprocal peer tutoring: Identifying and intervening with students who do not maintain accurate implementation. School Psychology Review, 34, 74–86.

Dufrene, B. A., Reisener, C. D., Olmi, D. J., Zoder-Martell, K., McNutt, M. R., & Horn, D. R. (2010). Peer tutoring for reading fluency as a feasible and effective alternative in response to intervention systems. Journal of Behavioral Education, 19, 239–256. https://doi.org/10.1007/a10864-101-9111-8 .

Faul, F., Erdfelder, E., Lang, A. G., & Buchner, A. (2007). G*Power 3: A flexible statistical power analysis program for the social, behavioural, and biomedical sciences. Behavior Research Methods, 39, 175–191. https://doi.org/10.3758/BF03193146 .

Fuchs, L. S., Fuchs, D., Powell, S. R., Seethaler, P. M., Cirino, P. T., & Fletcher, J. M. (2008). Intensive intervention for students with mathematics disabilities: Seven principles of effective practice. Learning Disability Quarterly, 31, 79–92. https://doi.org/10.2307/20528819 .

Fuchs, L. S., Fuchs, D., Yazdian, L., & Powell, S. R. (2002). Enhancing first-grade children’s mathematical development with peer-assisted learning strategies. School Psychology Review, 31, 569–583.

Fueyo, V., & Bushell, D. (1998). Using number line procedures and peer tutoring to improve the mathematics computation of low-performing first graders. Journal of Applied Behavior Analysis, 31, 417–430. https://doi.org/10.1901/jaba.1998.31-417 .

Gallagher, E. (2006). Improving a mathematical key skill using precision teaching. Irish Educational Studies, 25, 303–319. https://doi.org/10.1080/03323310600913757 .

Geary, D. C. (2013). Early foundations for mathematics learning and their relations to learning disabilities. Current Directions in Psychological Science, 22, 23–27. https://doi.org/10.1177/0963721412469398 .

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 5-year prospective study. Journal of Educational Psychology, 104, 206–223. https://doi.org/10.1037/a0025398 .

Ginsburg-Block, M. D., Rohrbeck, C. A., & Fantuzzo, J. W. (2006). A meta-analytic review of social, self-concept, and behavioral outcomes of peer-assisted learning. Journal of Educational Psychology, 98, 732–749. https://doi.org/10.1037/0022-0663.98.4.732 .

Graf, S. A., & Lindsley, O. R. (2002). Standard celeration charting 2002. Poland, OH: Graf Implements.

Gresham, F. M., & Elliott, S. N. (1990). Social skills rating system. Minneapolis, MN: NCS Pearson.

Gresham, F. M., & Elliott, S. N. (2008). Social skills improvement system rating scales manual. Minneapolis, MN: NCS Pearson.

Griffin, S., Case, R., & Siegler, R. (1994). Rightstart: Providing the central conceptual prerequisites for first formal learning of arithmetic to students at risk for school failure. In K. McGilly (Ed.), Classroom lessons: Integrating cognitive theory and classroom practice (pp. 24–49). Cambridge, MA: MIT Press.

Gross, T. J., Duhon, G. J., Hansen, B., Rowland, J. E., Schutte, G., & Williams, J. (2014). The effect of goal-line presentation and goal selection on first-grader subtraction fluency. The Journal of Experimental Education, 82, 555–571. https://doi.org/10.1080/00220973.2013.813369 .

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. https://doi.org/10.1002/bin.167 .

Hawkins, R. O., Musti-Rao, S., Hughes, C., Berry, L., & McGuire, S. (2009). Applying a randomized interdependent group contingency component to classwide peer tutoring for multiplication fact fluency. Journal of Behavioral Education, 18, 300–318. https://doi.org/10.1007/s10864-009-9093-6 .

Heron, T. E., Welsch, R. G., & Goddard, Y. L. (2003). Applications of tutoring systems in specialized subject areas: An analysis of skills, methodologies, and results. Remedial and Special Education, 24, 288–300. https://doi.org/10.1177/07419325030240050401 .

Houten, R. V., & Thompson, C. (1976). The effects of explicit timing on math performance. Journal of Applied Behavior Analysis, 9(2), 227–230.

Hunter, S. H., Beverley, M., Parkinson, J., & Hughes, J. C. (2016). Increasing high school students’ maths skills with the use of SAFMEDS class-wide. European Journal of Behavior Analysis, 17, 154–165.

Jahedi, S., & Mendez, F. (2013). On the advantages and disadvantages of subjective measures. Journal of Economic Behavior & Organisation, 98, 97–114. https://doi.org/10.1016/j.jebo.2013.12.016 .

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

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

Jordan, N. C., Hanich, L. B., & Kaplan, D. (2003). A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with comorbid mathematics and reading difficulties. Child Development, 74, 834–850. https://doi.org/10.1111/1467-8624.00571 .

Kena, G, Hussar, W., McFarland, J., de Brey, C., Musu-Gillette, L., Wang, X., & Dunlop Velez, E. (2016). The condition of education 2016 (NCES, 2016-144). Washington, DC: U.S. Department of Education, National Center for Education Statistics. Retrieved from: http://nces.ed.gov/pubs2016/2016144.pdf .

Kubina, R. M., & Wolfe, P. (2005). Potential applications of behavioral fluency for students with autism. Exceptionality, 13, 35–44. https://doi.org/10.1207/s15327035ex1301_5 .

Kubina, R. M., Jr., Yurich, K. K., Durica, K. C., & Healy, N. M. (2016). Developing behavioral fluency with movement cycles using SAFMEDS. Journal of Behavioral Education, 25(1), 120–141.

McGrew, K. S., & Woodcock, R. W. (2001). Technical manual. Woodcock–Johnson III. Itasca, IL: Riverside Publishing.

Mc Tiernan, A., Holloway, J., Healy, O., & Hogan, M. (2016). A randomized controlled trial of the Morningside math facts curriculum on fluency, stability, endurance and application outcomes. Journal of Behavioral Education, 24, 1–20. https://doi.org/10.1007/s10864-015-9227-y .

Miller, A. D., Hall, S. W., & Heward, W. L. (1995). Effects of sequential 1-min time trials with and without inter-trial feedback and self-correction on general and special education students’ fluency with math facts. Journal of Behavioral Education, 5, 319–345. https://doi.org/10.1007/BF02110318 .

Mitchell, R. J., Morrison, T. G., Feinauer, E., Wilcox, B., & Black, S. (2015). Effects of fourth and second graders’ cross-age tutoring on students’ spelling. Reading Psychology. https://doi.org/10.1080/02702711.2015.1025164 .

Nelson, P. M., Burns, M. K., Kanive, R., & Ysseldyke, J. E. (2013). Comparison of a math fact rehearsal and a mnemonic strategy approach for improving math fact fluency. Journal of School Psychology, 51, 659–667. https://doi.org/10.1016/j.jsp.2013.08.003 .

Nobel, M. N. (2005). Effects of classwide peer tutoring on the acquisition, maintenance, and generalization of science vocabulary words for seventh grade students with learning disabilities and/or low achievement (Doctoral dissertation, The Ohio State University). Retrieved from https://etd.ohiolink.edu/ .

OECD. (2016). PISA 2015 results (Volume I): Excellence and equity in education. Paris: OECD Publishing. https://doi.org/10.1787/9789264266490-en .

Patton, J. R., Cronin, M. E., Bassett, D. S., & Koppel, A. E. (1997). A life skills approach to mathematics instruction preparing students with learning disabilities for the real-life math demands of adulthood. Journal of Learning Disabilities, 30(2), 178–187. https://doi.org/10.1177/002221949703000205 .

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. https://doi.org/10.1007/s10864-010-9101-x .

Poncy, B. C., Fontenelle IV, S. F., & 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. https://doi.org/10.1007/s10864-013-9171-7 .

Rivera-Batiz, F. (1992). Quantitative literacy and the likelihood of employment among young adults in the United States. Journal of Human Resources, 27, 313–328. https://doi.org/10.2307/145737 .

Robinson, D. R., Schofield, J. W., & Steers-Wentzell, K. L. (2005). Peer and cross-age tutoring in math: Outcomes and their design implications. Educational Psychology Review, 17, 327–362. https://doi.org/10.1007/s10648-005-8137-2 .

Rohrbeck, C. A., Ginsburg-Block, M. D., Fantuzzo, J. W., & Miller, T. R. (2003). Peer-assisted learning interventions with elementary school students: A meta-analytic review. Journal of Educational Psychology, 95, 240–257. https://doi.org/10.1037/0022-0663.95.2.240 .

Schrank, F. A., McGrew, K. S., & Woodcock, R. W. (2001). Technical abstract (Woodcock-Johnson III Assessment Service Bulletin No. 2). Itasca, IL: Riverside Publishing.

Schutte, G. M., Duhon, G. J., Solomon, B. G., Poncy, B. C., Moore, K., & Story, B. (2015). A comparative analysis of massed versus distributed practice basic math fact fluency growth rates. Journal of School Psychology, 53, 149–159. https://doi.org/10.1016/j.jsp.2014.12.003 .

Shiel, G., Kavanagh, L., & Millar, D. (2014). The national assessments of English reading and mathematics, volume 1: Performance report. Dublin: Educational Research Centre.

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. https://doi.org/10.1016/s0022-4405(02)00101-2 .

Smyth, E., & McCoy, S. (2009). Investing in education: Combating educational disadvantage (p. 6). Dublin: ESRI Research Series No.

Sprinthall, N. A., & Scott, J. R. (1989). Promoting psychological development, math achievement, and success attribution of female students through deliberate psychological education. Journal of Counselling Psychology, 36, 440–446. https://doi.org/10.1037//0022-0167.36.4.440 .

Stenhoff, D. M., & Lignusaris-Kraft, B. (2007). A review of the effects of peer tutoring on students with mild disabilities in secondary settings. Exceptional Children, 74(1), 8–30. https://doi.org/10.1177/001440290707400101 .

Surgenor, P., Shiel, G., Close, S., & Millar, D. (2006). Counting on success: Mathematics achievement in Irish primary schools. Dublin: Department of Education and Science.

Thompson, L. A., & Kelly-Vance, L. (2001). The impact of mentoring on academic achievement of at-risk youth. Children and Youth Services Review, 23, 227–242. https://doi.org/10.1016/s0190-7409(01)00134-7 .

Weiss, M. J. (2001). Expanding aba intervention in intensive programs for children with autism: The inclusion of natural environment training and fluency based instruction. The Behavior Analyst Today, 2, 182–186. https://doi.org/10.1037/h0099946 .

Weiss, M. J., Pearson, N., Foley, K., & Pahl, S. (2010). The importance of fluency outcomes in learners with autism. The Behavior Analyst Today, 11, 245–252. https://doi.org/10.1037/h0100704 .

Woodcock, R., Mc Grew, K. S., & Mather, N. (2001). Woodcock–Johnson tests of achievement (3rd ed.). Rolling Meadows, IL: The Riverside Publishing Company.