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Original Articles

Teaching Problem Solving to Students Receiving Tiered Interventions Using the Concrete-Representational-Abstract Sequence and Schema-Based Instruction

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References

  • Blessing, S. B., & Ross, B. H. (1996). Content effects in problem categorization and problem solving. Journal of Experimental Psychology Learning, Memory, & Cognition, 22(3), 792–810.
  • Bruun, F. (2013). Elementary teachers' perspectives of mathematics problem solving strategies. Mathematics Educator, 23(1), 45–59.
  • Case, L. P., Harris, K. R., & Graham, S. (1992). Improving the mathematical problem solving skills of students with learning disabilities: Self regulated strategy development. The Journal of Special Education, 26, 1–19.
  • Cassel, J., & Reid, R. (1996). Use of self-regulated strategy intervention to improve word problem solving skills of student with mild disabilities. Journal of Behavioral Education, 6, 153–172.
  • Common Core State Standards Initiative (CCSSI). (2010). Common core state standards for mathematics. Retrieved from http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf
  • Connolly, A. J. (2007). KeyMath (3rd ed.). Minneapolis, MN: Pearson.
  • Darch, C., Camine, D., & Gersten, R. (1984). Explicit instruction in mathematical problem solving. Journal of Educational Research, 4, 155–165.
  • Fleischner, J., & O'Loughlin, M. (1985). Solving story problems: Implications of research for teaching the learning disabled. In J. Cawley (Ed.), Cognitive strategies and mathematics for the learning disabled (pp. 163–182). Rockville, MD: Aspen.
  • Fuchs, L. S., Fuchs, D., Prentice, K., Burch, M., Hamlett, C. L., Owen, R., & Schroeter, K. (2003) Enhancing third-grade students' mathematical problem solving with self-regulated learning strategies. Journal of Educational Psychology, 95, 306–315.
  • Griffin, C., & Jitendra, A. (2009). Word problem-solving instruction in inclusive third-grade mathematics classrooms. Journal of Educational Research, 102, 187–202.
  • Horner, R. H., Carr, E. G., Halle, J., McGee, G., Odom, S., & Wolery, M. (2005). The use of single-subject research to identify evidence-based practice in special education. Exceptional Children, 2, 165–179.
  • Hossler, D., & Vesper, N. (1993). An exploratory study of the factors associated with parental savings for postsecondary education. Journal of Higher Education, 64(2), 140–165.
  • Jitendra, A. K., DiPipi, C. M., & Perron-Jones, N. (2002). An exploratory study of schema-based word problem solving instruction for middle school students with learning disabilities: An emphasis on conceptual and procedural understanding. The Journal of Special Education, 36(1), 23–38.
  • Jitendra, A. K., Dupuis, D. N., Rodriguez, M. C., Zaslofsky, A. F., Slater, S., Cozine-Corroy, K., & Church, C. (2014). A randomized controlled trial of the impact of schema-based instruction on mathematical outcomes for third-grade students with mathematics difficulties. The Elementary School Journal, 114, 252–276.
  • Jitendra, A. K., George, M. P., Sood, S., & Price, K. (2010). Schema-based instruction: Facilitating mathematical word problem solving for students with emotional behavioral disorders. Preventing School Failure, 54, 145–151. doi:10.1080/10459880903493104
  • Jitendra, A. K., Griffin, C. C., McGoey, K., Gardill, M. C., Bhat, P., & Riley, T. (1998). Effects of mathematical word problem solving by students at risk or with mild disabilities. Journal of Educational Research, 91, 345–355.
  • Jitendra, A. K., & Hoff, K. (1996). The effects of schema-based instruction on the mathematical word-problem solving performance of students with learning disabilities. Journal of Learning Disabilities, 29, 422–431.
  • Jitendra, A. K., Rodriguez, M., Kanive, R., Huang, J., Church, C., Corroy, K. A., & Zaslofsky, A. (2013). Impact of small group tutoring interventions on the mathematical problem solving of third-grade students with mathematics difficulties. Learning Disability Quarterly, 36(1), 21–35.
  • Jitendra, A. K., Sczesniak, E., & Deatline-Buchman, A. (2005). An exploratory validation of curriculum-based mathematical word problem-solving tasks as indicators of mathematics proficiency for third graders. School Psychology Review, 34, 358–371.
  • Jonassen, D. H. (2003) Designing research-based instruction for story problems. Educational Psychology Review, 15, 267–296.
  • Kaufman, A. S., & Kaufman, N. L (2004). Kaufman Brief Intelligence Test (2nd ed.). Minneapolis, MN: Pearson.
  • Mancl, D. B., Miller, S. P., & Kennedy, M. (2012). Using the concrete-representational-abstract sequence with integrated strategy instruction to teach subtraction with regrouping to students with learning disabilities. Learning Disabilities Research and Practice, 27(4), 152–166.
  • Miller, S. P., & Kaffar, B. J. (2011). Developing addition with regrouping competence among second graders with mathematics difficulties. Investigations in Mathematics Learning, 4(1), 24–49.
  • National Council of Teachers of Mathematics. (2014). Principles to actions: Executive summary. Retrieved from http://www.nctm.org/uploadedFiles/Standards_and_Focal_Points/Principles_to_Action/PtAExecutiveSummary.pdf on October 1, 2014.
  • National Research Council. (2001). Adding it up: Helping children learn mathematics. In J. Kilpatrick, J. Swafford, & B. Findell (Eds.), A report from the NRC. Washington, DC: National Academies Press.
  • Parker, R. I., Vannest, K. J., Davis, J. L., & Sauber, S. B. (2011). Combining nonoverlap and trend for single-case research: Tau-U. Behavior Therapy, 42, 284–299.
  • Van de Walle, J., Karp, K. S., & Bay-Williams, J. M. (2009). Elementary and middle school mathematics: Teaching developmentally (7th ed.). Boston, MA: Allyn and Bacon.
  • Wilson, C. L., & Sindelar, P. T. (1991). Direct instruction in math word problems: Students with learning disabilities. Exceptional Children, 57, 512–519.
  • Woodward, J., Beckmann, S., Driscoll, M., Franke, M., Herzig, P., Jitendra, A., Koedinger, K. R., & Ogbuehi, P. (2012). Improving mathematical problem solving in grades 4 through 8: A practice guide (NCEE 2012–4055). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. Retrieved from http://ies.ed.gov/ncee/wwc/publications_reviews.aspx#pubsearch/.

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