The Effects of CRA/CSA Explicit Instruction for Students with and without Disabilities Taught in an Inclusive Setting

Authors

  • Vanessa Hinton, Ph.D. (Author) Auburn University image/svg+xml
    Vanessa Hinton is an associate clinical professor at Auburn University. She taught special education in an elementary school for 11 years. Her research interests include tiered supports and supplemental mathematics instruction for students with mathematics difficulties.
  • Anna Gibbs, Doctoral Student (Author) Auburn University
    Anna S. Gibbs is a doctoral student at the University of Iowa and a Graduate Assistant at the Iowa Reading Research Center. Her research interest includes effective instruction for students with learning difficulties.
  • Toni Franklin, Ph.D. (Author) Columbus State University image/svg+xml
    Toni Franklin, Ph.D is an Assistant Professor of Special Education in the Teacher Education Department at Columbus State University. Her research interests include preparation and support of new special education teachers, inclusion of students with disabilities in the general education classroom, and post-secondary educational opportunities for individuals with developmental disabilities.
https://doi.org/10.64546/jaasep.414
Children with cognitive delays or developmental disabilities are at elevated risk of having a persistent mathematics disability. Students who have difficulty in mathematics display trouble with awareness of numbers and numeric concepts. This is alarming because students who display lower mathematics performance early on in school make smaller gains in mathematics throughout their school years. Researchers show that explicit instruction is effective in teaching students with disabilities mathematics. More research needs to be conducted on brief explicit mathematic interventions using the concrete-representational-abstract sequence which is also referred to as the concrete semi-concrete abstract sequence in mathematics literature that target the skill of counting for students with and without developmental disabilities taught in inclusive settings. In this study, researchers examine the effects of using explicit instruction coupled with the concrete-representational-abstract sequence to teach counting skills to students who received special education services for disabilities in an inclusive setting along with their peers not identified as receiving special education. Implications of these findings are also discussed.

Adams, G. L., & Engelmann, S. (1996). Research on Direct Instruction: 25 Years beyond DISTAR. Seattle, Washington: Educational Achievement Systems.

Authors, (2015). The effects of a supplemental explicit counting intervention for preschool children. Preventing School Failure: Alternative Education for Children and Youth, 183-193. DOI: https://doi.org/10.1080/1045988X.2015.1065400

Clements, D. H. (1999). Subitizing: What is it? Why teach it? Teaching Children Mathematics, 5, 400-405. DOI: https://doi.org/10.5951/TCM.5.7.0400

Clements, D., & Sarama, J. (2010). Early Mathematics-Sequences of Aquistion and Teaching. In Encyclopedia on Early Childhood Development.

Clements, D., & Sarama, J. (2015). Discussion from a mathematical perspective. Mathematical Thinking and Learning, 15(2-3), 244-252. DOI: https://doi.org/10.1080/10986065.2015.1016826

Engelmann, S., & Carnine, D. W. (1982). Theory of Instruction: Principles and Applications. New York, New York: Irvington.

Fusion, K., Clements, D., & Sarama, J. (2015). Making early math education work for all children. Phi Delta Kappan, 97(3), 63-68. doi:10.1177/0031721715614831 DOI: https://doi.org/10.1177/0031721715614831

Gelman, R., & Gallistel, C. R. (1978). The Child's Understanding of Number. Cambridge, MA: Harvard University Press.

Gersten, R., & Chard, D. (1999). Number sense rethinking arithemetic instruction for students with mathematical disabilities. Journal of Special Education, 33(No. 1), 18-28. doi:10.1177/002246699903300102 DOI: https://doi.org/10.1177/002246699903300102

Jordan, N., Kaplan, D., Locuniak, M., & Ramineni, C. (2007). Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research and Practice, 22(1), 36-46. doi:10.1111/j.1540-5826.2007.00229.x DOI: https://doi.org/10.1111/j.1540-5826.2007.00229.x

Kroesbergen, E., van't Noordende, J., & Kolkman, M. (2014). Training working memory in kindergarten children: Effects on working memory and early numeracy. Child Neuropsychology: A Journal on Normal and Abnormal Development in Childhood and Adolescence, 20(1), 23-37. DOI: https://doi.org/10.1080/09297049.2012.736483

Mazzocco, M., & Thompson, R. (2005). Kindergarten predictors of math learning disability. Learning Disabilities Research and Practice, 20(3), 142-155. doi:10.1111/j.1540-5826.2005.00129.x DOI: https://doi.org/10.1111/j.1540-5826.2005.00129.x

Miller, S. P. (2009). Validated Practices for Teaching Students with Diverse Needs and Abilities (2nd ed.). Upper Saddle River, NJ: Pearson.

Mononen, R., Aunio, P., & Koponen, T. (2014). A pilot study of the effects of RighStart instruction on early numeracy skills of children with specific language impairment. Research in Developmental Disabilities, 35, 999-1014. DOI: https://doi.org/10.1016/j.ridd.2014.02.004

Mononen, R., P., A., Koponen, T., & Mikko, A. (2014). A review of early numeracy interventions for children at risk in mathematics. International Journal of Early Childhood Special Education, 6(1), 25-54. DOI: https://doi.org/10.20489/intjecse.14355

Morgan, P. L., Farkas, G., Hillemeier, M. M., & Maczuga, S. (2016). Who is at risk for persistent mathematics difficulties in the United States. Journal of Learning Disabilities, 49, 305-319. DOI: https://doi.org/10.1177/0022219414553849

National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: Author.

National Mathematics Advisory Panel. (2008). Foundations for Success: The Final Report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education. Peterson, S. K., Mercer, C. D., & O'Shea, L. (1988). Teaching learning disabled students place value using the concrete to abstract sequence Learning Disabilities Research, 4(1), 52-56.

Powell, S. R., Fuchs, L. S., & Fuchs, D. (2013). Reaching the mountaintop: Addressing common core standards in mathematics for students with mathematics difficulties. . Learning Disabilities Research and Practice, 28, 38-48. DOI: https://doi.org/10.1111/ldrp.12001

Ramani, G., & Siegler, R. (2011). Reducing the gap in numerical knowledge between low-and middle-income preschoolers. Journal of Applied Developmental Psychology, 32(3), 146-159. DOI: https://doi.org/10.1016/j.appdev.2011.02.005

Shalev, R. S., Auerbach, J., & Manor, O. (2000). Developmental dyscalculia: prevalence and prognosis. European Child and Adolescent Psychiatry, 9(Supplement 2), S58-S64. doi:10.1007/s007870070009 DOI: https://doi.org/10.1007/s007870070009

Toll, S. W. H., & Van Luit, J. E. H. (2014). Effects of remedial numeracy instruction throughout kindergarten starting at different ages: Evidence from a large-scale longitudinal study. Learning and Instruction, 33, 39-49. DOI: https://doi.org/10.1016/j.learninstruc.2014.03.003

Van De Rijt, B. A., & Van Luit, J. E. (1998). Effectiveness of the Additional Early Mathematics program for teaching children early mathematics. Instructional Science, 26(5), 337-358. doi:10.1023/A:1003180411209 DOI: https://doi.org/10.1023/A:1003180411209

There are 23 references in total.
Hinton, V., Gibbs, A., & Franklin, T. (2020). The Effects of CRA/CSA Explicit Instruction for Students with and without Disabilities Taught in an Inclusive Setting. Journal of the American Academy of Special Education Professionals, 15(1), 46-57. https://doi.org/10.64546/jaasep.414

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  • Article Type Articles
  • Submitted January 24, 2020
  • Published February 15, 2020
  • Issue Winter 2020
  • Section Articles
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