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Commentary on the Chapter by Marjorie Montague and Asha Jitendra, “Research-Based Mathematics Instruction for Students with Learning Disabilities”

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Book cover Towards Equity in Mathematics Education

Part of the book series: Advances in Mathematics Education ((AME))

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Abstract

In their chapter, Montague and Jitendra highlight that many students with disabilities are not making adequate progress in their mathematical performance. Further, both cognitive and behavioral characteristics appear to interfere with their performance and development in mathematics. In response to these concerns, Montague and Jitendra highlight two instructional approaches—Solve It! and Schema-Based Instruction (SBI), that can be used to help students with disabilities improve their mathematical performance.

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References

  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes is special? Journal of Teacher Education, 59, 389–407.

    Article  Google Scholar 

  • Baroody, A. J. (2011). Learning: A framework. In F. Fennell (Ed.), Achieving fluency: Special education and mathematics (pp. 15–58). Reston: National Council of Teachers of Mathematics.

    Google Scholar 

  • Brown, D. L., & Presmeg, N. C. (1993). Types of imagery used by elementary and secondary school students in mathematical reasoning. In Proceedings of the 17th annual meeting of the international group for the psychology of mathematics education (Vol. II, pp. 137–144). Tsukuba, Japan: PME.

    Google Scholar 

  • Brownell, M., Sindelar, P. T., Kiely, M. T., & Danielson, L. C. (2010). Special education teacher quality and preparation: Exposing foundations, constructing a new model. Exceptional Children, 76(3), 357–377.

    Google Scholar 

  • Bryant, D. P., Bryant, B. R., Gersten, R. M., Scammacca, N. N., Funk, C., Winter, A., Shih, M. & Pool, C. (2008). The effects of tier 2 intervention on the mathematics performance of first-grade students who are at-risk for mathematics difficulties. Learning Disability Quarterly, 31, 47–63.

    Google Scholar 

  • Clarke, B., Baker, S., Smolkowski, K., & Chard, D. J. (2008). An analysis of early numeracy curriculum-based measurement. Remedial and Special Education, 29, 46–57. doi:10.1177/0741932507309694.

    Article  Google Scholar 

  • Diezmann, C. (2000). Making sense with diagrams: Students’ difficulties with feature-similar problems. In Proceedings of the 23rd annual conference of mathematics education research group of Australasia (pp. 228–234). Freemantle, Australia: MERGA.

    Google Scholar 

  • Dufour-Janvier, B., Bednarz, N., & Belanger, M. (1987). Pedagogical considerations concerning the problem of representation. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 109–122). Hillsdale: Lawrence Erlbaum Associates.

    Google Scholar 

  • Fuchs, L. S., Powell, S. R., Seethaler, P. M., Cirino, P. T., Fletcher, J. M., Fuchs, D., & Hamlett, C. L. (2010). The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties. Learning and Individual Differences, 20, 89–100.

    Article  Google Scholar 

  • Hang, Q. & Rabren, K. (2009). An examination of co-teaching: Perspectives and efficacy indicators. Remedial and Special Education, 30(5), 259–268.

    Article  Google Scholar 

  • Hegarty, M. & Kozhevnikov, M. (1999). Types of visual-spatial representations and mathematical problem solving. Journal of Educational Psychology, 91, 684–689.

    Article  Google Scholar 

  • Hill, H. C., Blunk, M. L., Charalambos, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L., & Ball, D. L. (2008). Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study. Cognition and Instruction, 26, 1–81.

    Article  Google Scholar 

  • Hutchinson, N. L. (1993). Effects of cognitive strategy instruction on algebra problem solving with adolescents. Learning Disability Quarterly, 16, 34–63.

    Article  Google Scholar 

  • Jordan, N. C., Glutting, J., & Ramineni, C. (2010). The importance of number sense to mathematics achievement in first and third grades. Learning and Individual Differences, 20, 82–88. doi:10.1016/j.lindif.2009.07.004.

    Article  Google Scholar 

  • Kloo, A. & Zigmond, N. (2008). Coteaching revisited: Redrawing the blueprint. Preventing School Failure, 52, 12–20. doi:10.3200/PSFL.52.2.12-20.

    Article  Google Scholar 

  • Lembke, E. S., Foegen, A., Whittaker, T. A., & Hampton, D. (2008). Establishing technically adequate measures of progress in early number. Assessment for Effective Intervention, 33, 206–214.

    Article  Google Scholar 

  • Maccini, P. & Gagnon, J. C. (2002). Perceptions and application of NCTM standards by special and general education teachers. Exceptional Children, 68, 325–344.

    Google Scholar 

  • Maccini, P. & Gagnon, J. C. (2006). Mathematics instructional practices and assessment accommodations by secondary special and general educators. Exceptional Children, 72, 217–234.

    Google Scholar 

  • Murawski, W. W. & Swanson, H. L. (2001). A meta-analysis of co-teaching research. Where are the data? Remedial and Special Education, 22, 258–267.

    Article  Google Scholar 

  • National Assessment of Educational Progress. (2007). NAEP 2007 mathematics report card for the nation and the states. Princeton: Educational Testing Service.

    Google Scholar 

  • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington: U.S. Department of Education.

    Google Scholar 

  • National Research Council. (2001). Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford, & B. Findell (Eds.). Washington: National Academy Press.

    Google Scholar 

  • Parmar, R. S. & DeSimone, J. R. (2006). Facilitating teacher collaboration in middle school mathematics classrooms with special-needs students. In M. Montague & A. Jitendra (Eds.) Middle school students with mathematics difficulties (pp. 154–174). New York: Guildford Press.

    Google Scholar 

  • Powell, S. R. & Fuchs, L. S. (2010). Contribution of equal-sign instruction beyond word problem tutoring for third-grade students with math difficulty. Journal of Educational Psychology, 102(2) 381–394.

    Article  Google Scholar 

  • Santangelo, T. (2009). Collaborative problem solving effectively implements, but not sustained: A case for aligning the sun, the moon, and the starts. Exceptional Children, 75(2), 185–209.

    Google Scholar 

  • Scruggs, T. E., Mastropieri, M. A., & McDuffie, K. A. (2007). Co-teaching in inclusive classrooms: A metasynthesis of qualitative research. Exceptional Children, 73(4), 392–416.

    Google Scholar 

  • Seethaler, P. M. & Fuchs, L. S. (2010). The predictive utility of kindergarten screening for math difficulty. Exceptional Children, 77, 37–59.

    Google Scholar 

  • van Garderen, D. (2007). Teaching students with learning disabilities to use diagrams to solve mathematical word problems. Journal of Learning Disabilities, 40(6), 540–553.

    Article  Google Scholar 

  • van Garderen, D., & Montague, M. (2003). Visual-spatial representation, mathematical problem solving, and students of varying abilities. Learning Disabilities Research and Practice, 18(4), 246–254.

    Article  Google Scholar 

  • van Garderen, D., Scheuermann, A., & Jackson, C. (in press). Examining how students with diverse abilities use diagrams to solve mathematics word problem. Learning Disability Quarterly.

    Google Scholar 

  • van Garderen, D., Scheuermann, A., Jackson, C., & Hampton, D. (2009). Supporting collaboration between general educators and special educators to teach students who struggle with mathematics: A review of recent empirical literature. Psychology in the Schools, 46(1), 56–77.

    Article  Google Scholar 

  • Wayne, A. J. & Young, P. (2003). Teacher characteristics and student achievement gains: A review. Review of Educational Research, 73, 89–122.

    Article  Google Scholar 

  • Winn, J. & Blanton, L. (2005). The call for collaboration in teacher education. Focus on Exceptional Children, 38(2), 1–10.

    Google Scholar 

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Correspondence to Delinda van Garderen .

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van Garderen, D. (2012). Commentary on the Chapter by Marjorie Montague and Asha Jitendra, “Research-Based Mathematics Instruction for Students with Learning Disabilities”. In: Forgasz, H., Rivera, F. (eds) Towards Equity in Mathematics Education. Advances in Mathematics Education. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27702-3_46

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