Abstract
The present study examined the effectiveness of an instructional package that included an adapted version of pegword mnemonics paired with a picture fading technique in teaching two students with moderate intellectual disabilities to recall 28 single-digit multiplication facts between 2 and 9. The instructional package was assessed using a multiple baseline design across students. Results indicated that instruction produced substantial and immediate effects in that both students increased their accuracy at recalling basic multiplication facts, maintained the newly acquired skill, and were able to generalize it across material, format, and another trainer. These results have implications for teaching students with intellectual disabilities basic math facts that are considered important for gaining access to the general curriculum.
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References
Access Center. (2003). Using mnemonic instruction to facilitate access to the general education curriculum. Access brief: Mnemonics. From http:/www.k8accesscenter.org/training_resources/Mnemonics.asp. Retrieved 16 Dec 2006.
Bellezza, F. S. (1981). Mnemonic devices: Classification, characteristics, and criteria. Review of Educational Research, 51, 247–275.
Browder, D., & Lalli, J. (1991). Review of research on sight word instruction. Research in Developmental Disabilities, 12, 203–228.
Browder, D. M., Spooner, F., Ahlgrim-Delzell, L., Harris, A., & Wakeman, S. Y. (2008). A meta-analysis on teaching mathematics to students with significant cognitive disabilities. Exceptional Children, 74, 407–432.
Butler, M. F., Miller, P. S., Lee, H. K., & Pierce, T. (2001). Teaching mathematics to students with mild-to-moderate mental retardation: A review of the literature. Mental Retardation, 39, 20–31.
Carnine, C. W., Silbert, J., Kameenui, E. J., & Tarver, S. G. (2004). Direct instruction reading (4th ed.). Upper Saddle River, NJ: Prentice Hall/Merrill.
Conners, F. A., Atwell, J. A., Rosenquist, C. J., & Sligh, A. C. (2001). Abilities underlying decoding differences in children with intellectual disability. Journal of Intellectual Disability Research, 45, 292–299.
Cumming, J., & Elkins, J. (1999). Lack of automaticity in the basic addition facts as a characteristic of arithmetic learning problems and instructional needs. Mathematical Cognition, 5, 149–180.
Flores, M. M., Houchins, E. D., & Shippen, E. M. (2006). The effects of constant time delay and strategic instruction on students with learning disabilities’ maintenance and generalization. International Journal of Special Education, 21, 45–57.
Georgas, D. D., Paraskevopoulos, J. N., Besevegis, H. G., & Giannitsas, N. D. (1997). Greek WISC-III: Wechsler intelligence scales for children. Athens: Ellinika Grammata.
Greene, G. (1999). Mnemonic multiplication fact instruction for students with learning disabilities. Learning Disabilities Research & Practice, 14, 141–147.
Heward, W. L. (2006). Teaching exceptional children (8th ed.). Upper Saddle River, NJ: Prentice-Hall.
Irish, C. (2002). Using peg- and keyword mnemonics and computer-assisted instruction to enhance basic multiplication performance in elementary students with learning and cognitive disabilities. Journal of Special Education Technology, 17, 29–40.
Isaacs, A., & Carroll, W. (1999). Strategies for basic fact instruction. Teaching Children Mathematics, 5(9), 508–515.
Jolivette, K., Lingo, S. A., Houchins, E. D., Barton-Arwood, M. S., & Shippen, E. M. (2006). Building math fluency for students with developmental disabilities and attentional difficulties using great leaps math. Education and Training in Developmental Disabilities, 41, 392–400.
Kazdin, A. E. (1982). Single-case research designs: Methods for clinical and applied settings. New York: University Press.
Koscinski, S. T., & Gast, D. L. (1993). Use of constant time delay in teaching multiplication facts to students with learning disabilities. Journal of Learning Disabilities, 26, 544–583.
Kroesbergen, E. H., & Van Luit, J. E. H. (2005). Constructivist mathematics education for students with mild mental retardation. European Journal of Special Needs Education, 20, 107–116.
Lalli, J. S., & Browder, D. M. (1993). Comparison of sigth word training procedures with validation of the most practical procedure in teaching reading for daily living. Research in Developmental Disabilities, 14, 107–127.
Lee, S. H., Amos, A. B., Gragoudas, S., Lee, Y., Shogren, A. K., Theoharis, R., et al. (2006). Curriculum augmentation and adaptation strategies to promote access to the general curriculum for students with intellectual and developmental disabilities. Education and Training in Developmental Disabilities, 41, 199–212.
Lerner, J. (1999). Learning disabilities theories, diagnosis, and teaching strategies (7th ed.). Boston: Houghton Mifflin Co.
Mastropieri, M. A., Bakken, J. P., & Scruggs, T. E. (1991). Mathematics instruction for individuals with mental retardation: A perspective and research synthesis. Education and Training in Mental Retardation, 23, 273–284.
Mastropieri, M. A., & Scruggs, T. E. (1991). Teaching students ways to remember. Cambridge, MA: Brookline Books.
Mastropieri, M. A., & Scruggs, T. E. (1998). Constructing more meaningful relationships in the classroom: Mnemonic research into practice. Learning Disabilities Research & Practice, 13, 138–145.
Mastropieri, M. A., & Scruggs, T. E. (2000). Teaching students ways to remember: Strategies for learning mnemonically. Cambridge, MA: Brookline Books.
Ministry of National Education, Religious Affairs-Pedagogical Institute. (2004). Individual subject curriculum for students with mild and moderate mental retardation. Athens: OPEB.
Morton, R. C., & Flynt, W. S. (1997). A comparison of constant time delay and prompt fading to teach multiplication facts to students with learning disabilities. Journal of Instructional Psychology, 24, 3–13.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
No Child Left Behind Act of 2001, PL 107-110, 115 Stat. 1425, 20 U.S.C. §§ 6301 et seq.
Paraskevopoulos, J. N., Kalantzi-Azizi, A., & Giannitsas, N. D. (1999). ATHENA test for the diagnosis of learning difficulties. Athens: Ellinika Grammata.
Parmar, R. S., Cawley, J. F., & Miller, J. H. (1994). Differences in mathematics performance between students with learning disabilities and students with mild retardation. Exceptional Children, 60, 549–563.
Pressley, M., Levin, J. R., & Delaney, H. D. (1982). The mnemonic keyword method. Review of Educational Research, 52, 61–91.
Richards, S. B., Taylor, R. L., Ramasamy, R., & Richards, R. Y. (1999). Single subject research: Applications in educational and clinical settings. San Diego: Singular Publishing Group.
Rivera, M. O., Koorland, M. A., & Fueyo, V. (2002). Pupil-made pictorial prompts and fading for teaching sight words to a student with learning disabilities. Education & Treatment of Children, 25, 197–207.
Scruggs, T. E., & Mastropieri, M. A. (1995). Science and mental retardation: An analysis of curriculum features and learner characteristics. Science Education, 79, 251–271.
Scruggs, T. E., & Mastropieri, M. A. (2000). The effectiveness of mnemonic instruction for students with learning and behavior problems: An update and research synthesis. Journal of Behavioral Education, 10, 163–173.
Scruggs, T. E., Mastropieri, M. A., & Levin, J. R. (1987). Implication of mnemonic strategy research for theories of learning disabilities. In H. L. Swanson (Ed.), Memory and learning disabilities: Advances in learning and behavior disabilities (pp. 225–244). Greenwich, CT: JAI Press.
Shapiro, E. S. (1996). Academic skills problems: Direct assessment and intervention (2nd ed.). New York: Guilford.
Silbert, J., Carnine, D., & Stein, M. (1990). Direct instruction mathematics (2nd ed.). Columbus: Merrill.
Steel, S., & Funnell, E. (2001). Learning multiplication facts: A study of children taught by discovery methods in England. Journal of Experimental Child Psychology, 79, 37–55.
Stein, M., Silbert, J., & Carnine, D. (1997). Designing effective mathematics instruction: A direct instruction approach. Upper Saddle River, NJ: Merrill/Prentice Hall.
Tawney, J. W., & Gast, D. L. (1984). Single subject research design in special education. Columbus, OH: Merrill.
Tien-Yu, L., & Ming Chung, C. (2005). The effectiveness of picture-fading techniques in a multimedia learning system for teaching Chinese word recognition to students with multiple disabilities. Journal of Rehabilitation Research, 28, 267–271.
Vaughn, S., Bos, C., & Schumm, J. (2007). Teaching students who are exceptional, diverse, and at risk in the general education classrooms (4th ed.). Boston, MA: Pearson Education, Inc.
Wehmeyer, L. M., Lance, D., & Bashinski, S. (2002). Promoting access to the general curriculum for students with mental retardation: A multi-level model. Education and Training in Mental Retardation and Developmental Disabilities, 37, 223–234.
Wehmeyer, L. M., Lattin, D., & Agran, M. (2001). Achieving access to the general curriculum for students with mental retardation: A curriculum decision-making model. Education and Training in Mental Retardation and Developmental Disabilities, 36, 327–342.
Westling, D., & Fox, L. (2000). Teaching students with severe disabilities (2nd ed.). Upper Saddle River, NJ: Merrill Prentice Hall.
Wolery, M., Ault, M. J., & Doyle, P. M. (1992). Teaching students with moderate to severe disabilities: Use of response prompting strategies. New York: Longman.
Wong, M., & Evans, D. (2007). Improving basic multiplication fact recall for primary school students. Mathematics Education Research Journal, 19, 89–106.
Wood, K. D., & Frank, R. A. (2000). Using memory-enhanching strategies to learn multiplication facts. Teaching Exceptional Children, 32, 78–82.
Wood, K. D., Frank, R. A., & Wacker, P. D. (1998). Teaching multiplication facts to students with learning disabilities. Journal of Applied Behavior Analysis, 31, 323–338.
Woodward, J. (2006). Developing automaticity in multiplication facts: Integrating strategy instruction with timed practice drills. Learning Disability Quarterly, 29, 269–289.
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Zisimopoulos, D.A. Enhancing Multiplication Performance in Students with Moderate Intellectual Disabilities Using Pegword Mnemonics Paired with a Picture Fading Technique. J Behav Educ 19, 117–133 (2010). https://doi.org/10.1007/s10864-010-9104-7
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DOI: https://doi.org/10.1007/s10864-010-9104-7