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Multisensory Math is a different way of thinking about teaching math. It uses manipulative objects to teach the concepts of math. The instructional sequence is Concrete-Representational-Abtract which we refer to as CRA. Hands-on instruction using concepts leads to the use of pictures to provide a kind of portable memory which supports processing at the abstract level which uses only numbers.
Though the use of manipulative objects is essential for some students, the object of using manipulatives is to get rid of them. Ultimately we want all of our students to be proficient in calculations and applications in mathematics. The underlying concepts must be clearly understood if students are to apply mathematics to a useful purpose.
The research support for this program is grounded in the work of scientists such as Stanisas Dehaene and Brian Butterworth among others. They have helped to establish numeracy as a possible core deficit in mathematics difficulties. I refer to this as automatic recognition of quantity and quantity patterns. It is knowing the "threeness" of three, the "fourness" of four. They have established that the human brain can recognize up to four items without counting. More than that and the human brain needs patterns. An example would be trying to recognize nine items without counting. If those items are placed in a pattern of tally marks (five) and the dice pattern of four, easy.
This entire program uses the goal of quantity and pattern recognition to aid students in using math. The other unique aspect of this program is that it uses strategies from historic multisensory teaching, especially for language instruction. Strategies from Multisensory Language Instruction, which has been around since the early twentieth century, are applied to teaching mathematics. This includes things such as simultaneous processing, pattern recognition and color coding, hands-on instruction and specific retrievable instructional language.
The approach is appropriate for all students, inclusion classes, classes for at risk and LD students, English Language Learners, and for individual private remedial work. It is especially appropriate for working with students who have language based disabilities/dyslexia.
There are three associated blogs and over sixty hours of course work available. The courses are open to the public, to educational professionals such as teachers and tutors, to parents, to academic therapists and MSLE specialists who want additional training in working with students who learn differently.
More information on CRA (concrete-representational-abstract) : An Instructional Approach to Math:
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The use of multisensory methods makes links between the visual (what we see), auditory (what we hear), and kinesthetic-tactile (what we feel); this provides students with three pathways for learning sound, letters, and letter formation (Henry, 2000). These pathways are taught together (e.g., learning a new letter or pattern, carefully tracing it with correct and consistent strokes to form the letter, as in the curve of “d” before the stick, and pronouncing the corresponding sound). Henry (2003) found that these techniques, used in special interventions for students with dyslexia, enhance memory and learning; these techniques are not only beneficial for students with dyslexia, but also for all children learning the foundation skills for reading.
The use of multisensory methods makes links between the visual (what we see), auditory (what we hear), and kinesthetic-tactile (what we feel); this provides students with three pathways for learning sound, letters, and letter formation (Henry, 2000). These pathways are taught together (e.g., learning a new letter or pattern, carefully tracing it with correct and consistent strokes to form the letter, as in the curve of “d” before the stick, and pronouncing the corresponding sound). Henry (2003) found that these techniques, used in special interventions for students with dyslexia, enhance memory and learning; these techniques are not only beneficial for students with dyslexia, but also for all children learning the foundation skills for reading.
Anstrom, T. (n.d.). Supporting students in mathematics through the use of manipulatives. Washington, DC: Center for Implementing Technology in Education. Retrieved April 14, 2012. From http://www.cited.org/library/resourcedocs/Supporting%20Students%20in%20Mathematics%20Through%20the%20Use%20of%20Manipulatives.pdf
Baker, S., Gersten, R., & Dae-Sik, L. (2002). A synthesis of empirical research on teaching mathematics to low achieving students. Elementary School Journal, 103, 51-73.
Bender, W. (2009). Differentiating math instruction: Strategies that work for K-8 classrooms. Thousand Oaks: Corwin Press.
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 perfomance of first-grade students who are at risk for mathematics difficulties. Learning Disability Quarterly, 31 47-63.
Butler, F. M., Miller, S. P., Crehan, K., Babbitt, B., & Pierce, T. (2003). Fraction instruction for students with mathematics disabilities: Comparing two teaching sequences. Learning Disabilities Research & Practice, 18(2), 99-111.
Gersten, R., Chard, D.J., Jayanthi, M.J., Baker, S. K., Morphy, P., & Flojo, J. (2009). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79, 1202-1242. doi 10.3102/0034654309334431
Hutchinson, N.L. (1993). Students with disabilities and mathematics education reform – Let the dialogue begin. Remedial and Special Education, 14(6), 20-23.
Jordan, L., Miller, M. D., & Mercer, C. D. (1999). The effects of concrete to semi-concrete to abstract instruction in the acquisition and retention of fraction concepts and skills. Learning Disabilities: A Multidisciplinary Journal, 9, 115-122.
Maccini, P., & Hughes, C.A. (2000). Effects of a problem-solving strategy on the introductory algebra performance of secondary students with learning disabilities. Learning Disabilities Research and Practice, 15(1), 10-21.
Mercer, C.D., & Miller, S. P. (1992). Teaching students with learning problems in math to achieve, understand and apply basic math facts. Remedial and Special Education, 13, 19-35.
Miller, S. P., & Kaffar, B. J. (2011). Developing addition with regrouping competence among second grade students with mathematics difficulties. Investigations in Mathematics Learning, 4, 24-49.
Miller, S.P., & Mercer, C.D. (1993). Using data to learn about concrete-representational-abstract instruction for students with math disabilities. Learning Disabilities Research and Practice, 8, 89-96.
Miller, S. P., Mercer, C.D., & Dillon, A. S. (1992) CSA: Acquiring and Retraining Math Skills. Intervention in School and Clinic, 28, 105-110.
Misquitta, R. (2011). A review of the literature: Fraction instruction for struggling learners in mathematics. Learning Disabilities Research & Practice, 26(2), 109-119.
Sealander, K. A., Johnson, G.R., Lockwood, A. B., & Medina, C. M. (2012). Concrete-semiconcrete-abstract (CSA) instruction: A decision rule for improving instructional efficacy. Assessment for Effective Intervention, 30, 53-65.
Sousa, D. (2008). How the brain learns mathematics. Thousand Oaks: Corwin Press.
The Access Center: Improving Outcomes for All Students K-8. (n.d.). Concrete-Representational-Abstract instructional approach. Retrieved April 14, 2012. From http://www.k8accesscenter.org/training_resources/CRA_Instructional_Approach.asp#top
Witzel, B. S. (2005). Using CRA to teach algebra to students with math learning disabilities in inclusive settings. Learning Disabilities: A Contemporary Journal, 3(2), 49-60.
Witzel, B.S. Mercer, C.D., & Miller, M.D. (2003). Teaching algebra to students with learning difficulties: An investigation of an explicit instruction model. Learning Disablities Research & Practice, 18(2), 121-131.
Witzel, B. S., RIccomini, P. J., & Schneider, E. (2008). Implementing CRA with secondary students with learning disabilities in mathematics. Intervention in School and Clinic. 43, 270- 276. doi: 10.1177/1053451208314734
Zheng, X., Flynn, L.J., & Swanson, H. L. (2013). Experimental intervention studies on word problem solving and math disabilities: A selective analysis of the literature. Learning Disabilities Quarterly, 36, 97-111. doi: 10.1177/073194871244427
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