Teaching Multiplication with Regrouping Using the Concrete-representational-abstract Sequence and the Strategic Instruction Model

Authors

  • Margaret M. Flores (Author) Auburn University image/svg+xml
    Margaret M. Flores is an Associate Professor in the Department of Special Education, Rehabilitation, and Counseling at Auburn University. She taught students with disabilities within the public schools before earning her doctorate in special education at Georgia State University. Her research interests include effective mathematics instruction for students with disabilities.
  • Toni M. Franklin (Author) Armstrong Atlantic State University image/svg+xml
    Toni M. Franklin is an Assistant Professor in the Department of Childhood and Exceptional Student Education at Armstrong Atlantic State University. She was a special education teacher and general education teacher prior to earning her doctorate in rehabilitation and special education at Auburn University. Her research interests include effective teacher preparation and academic interventions for students with disabilities.
https://doi.org/10.64546/jaasep.255
The Common Core State Standards (2010) involve the demonstration of conceptual knowledge of numbers and operations. For students who struggle with mathematics and have not responded to instruction, it is important that interventions emphasize this understanding. In order to address conceptual understanding of numbers and operations in meeting the rigorous Common Core State Standards, interventions should include the use of explicit instruction, manipulation of objects, and visual representation of numbers. The current pilot study investigated the use of such a method within a tiered intervention model, the concrete-representational-abstract (CRA) sequence and the strategic Instruction Model (SIM). Six fourth grade students receiving intervention through a response to intervention model participated. Multiplication with regrouping was taught using CRA and SIM (CRA-SIM) over the course of ten lessons as part of an intervention period. Data were collected before and after CRA-SIM instruction and statistical analysis showed that students made significant gains after instruction. The practical implications and application of CRA-SIM instruction will be discussed.

Deshler, D. D., & Schumaker, J. B. (1993). Strategy mastery by at-risk student: Not a simple matter. The Elementary School Journal, 94, 153-167. DOI: https://doi.org/10.1086/461757

Flores, M. M., Hinton, V. M., & Strozier, S. D. (in press). Teaching subtraction and multiplication with regrouping using the concrete-representational-abstract sequence and the strategic instruction model. Learning Disabilities Research & Practice.

Flores, M. M. (2009). Teaching subtraction with regrouping to students experiencing difficulty in mathematics. Preventing School Failure, 53, 145-152. DOI: https://doi.org/10.3200/PSFL.53.3.145-152

Flores, M.M. (2010). Using the Concrete-Representational-Abstract sequence to teach subtraction with regrouping to students at risk for failure. Remedial and Special Education, 31(3), 195-207. doi:10.1177/0741932508327467

Harris, C. A., Miller, S. P., & Mercer, C. D. (1995). The initial multiplication skills to students with disabilities in general education classrooms. Learning Disabilities Research & Practice, 10, 180-195.

Individuals with Disabilities Education Improvement Acts of 2004, Pub. L. No. 108-446, 118

Stat. 2647 (2004) (amending 20 U.S.C.§§ 1440 et seq.).

Flores, M.M. (2010). Using the Concrete-Representational-Abstract sequence to teach subtraction with regrouping to students at risk for failure. Remedial and Special Education, 31(3), 195-207. doi:10.1177/0741932508327467 DOI: https://doi.org/10.1177/0741932508327467

Mercer, C.D., & Miller, S.P. (1992). Teaching students with learning problems in math to acquire, understand, and apply basic math facts. Remedial and Special Education, 13(3), 19-35. doi:10.1177/074193259201300303 DOI: https://doi.org/10.1177/074193259201300303

Miller, S. P., & Kaffar, B. J. (2011). Developing addition and regrouping competence among second grade students. Investigations in Math Learning, 4(1), 35-51. DOI: https://doi.org/10.1080/24727466.2011.11790308

Miller, S.P., Stringfellow, J.L., Kaffar, B.J., Ferreira, D., & Mancl, D. (2011). Developing computation competence among students who struggle with mathematics. Teaching Exceptional Children, 44(2), 38-46. DOI: https://doi.org/10.1177/004005991104400204

Mitchell, B. B., Deshler, D. D., & Lenz, K. B. (2012). Examining the role of the special educator in a response to intervention model. Learning Disabilities: A Contemporary Journal 10(2), 53-74.

Morin, V. A., & Miller, S. P. (1998). Teaching multiplication to middle school students with mental retardation. Treatment of Children, 21(1), 22-36.

National Governors Association Center for Best Practices & Council of Chief State School Officers (2010). Common Core state standards. Washington, DC: National Governors Association Center for Best Practices & Council of Chief State School Officers.

Peterson, S. K., Mercer, C.D., & O'Shea, L. (1988). Teaching learning disabled children place value using the concrete to abstract sequence. Learning Disabilities Research, 4, 52-56. DOI: https://doi.org/10.1177/093889828800401a07

Swanson, E., Solis, M., & Ciullo, S. (2012) Special education teachers’ perceptions and instructional practices in response to intervention implementation. Learning Disability Quarterly, 35(2), 115-126. DOI: https://doi.org/10.1177/0731948711432510

There are 16 references in total.
Flores, M. M., & Franklin, T. M. (2014). Teaching Multiplication with Regrouping Using the Concrete-representational-abstract Sequence and the Strategic Instruction Model. Journal of the American Academy of Special Education Professionals, 9(3), 133-148. https://doi.org/10.64546/jaasep.255

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  • Article Type Articles
  • Submitted September 12, 2014
  • Published October 15, 2014
  • Issue Fall 2014
  • Section Articles
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