THE EFFECTIVENESS OF CONCRETE-REPRESENTATIONAL-ABSTRACT INSTRUCTION STRATEGIES IN THE INSTRUCTION OF FRACTIONS TO STUDENTS WITH LEARNING DISABILITIES

Hasan Hüseyin Yıldırım, Ahmet Yıkmış

Abstract


The present study aimed to determine the effectiveness of the concrete-representational-abstract instruction strategies employed in the direct instruction of fractions to students with learning disabilities. Furthermore, the generalization of the instruction to different settings and tools, the follow-up data for one and three weeks after the instruction, and the social validity data based on the views of the mothers on concrete-representational-abstract instruction strategies were analyzed. In the study, the inter-behavioral multiple probe model with a probe stage, a single-subject research model, was employed. The dependent variable was the level of identification of proper, half and quarter fractions by the participating students in the study, while the independent variable was the concrete-representational-abstract introduction strategies implemented with the direct instruction method. The study was conducted with three male students with learning disabilities, who resided in Izmir and attended an inclusive primary school. The study findings demonstrated that the concrete-representational-abstract instruction strategies were effective in the instruction of proper, half and quarter fractions to the students with learning disabilities, these skills acquired by the students could be permanent for one to three weeks after the instruction, and all students could generalize these skills to various settings and instruments, and the views of the mothers on concrete-representational-abstract instruction strategies were positive.

 

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instruction of fractions, mathematics instruction, concrete-representational-abstract instruction strategies, students with learning disabilities

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References


Bouck, E., Park, J., & Nickell, B. (2017). Using the concrete-representational-abstract approach to support students with intellectual disability to solve change-making problems. Research in Developmental Disabilities, 60(1), 24-36. https://doi.org/10.1016/j.ridd.2016.11.006

Cawley, J. F., & Miller, J. H. (1989). Cross-sectional comparisons of the mathematical performance of children with learning disabilities: Are we on the right track toward comprehensive programming? Journal of Learning Disabilities, 22(4), 250-254.

Clarke, D. M., Roche, A. ve Mitchell, A. (2008). Ten Practical Tips for Making Fractions Come Alive and Make Sense. Mathematics İnstruction in the Middle School, 13(7), 373-380.

Ferreira, D. (2009). Effects of Explicit Subtraction Instruction on Fifth Grade Students with Learning Disabilities. Yüksek Lisans Tezi, University of Nevada, Las Vegas.

Fletcher, D., Boon, R. T., and Cihak, D. F. (2010). Effects of the TouchMath program compared to a number line strategy to teach addition facts to middle school students with moderate intellectual disabilities. Education and Training in Autism and Developmental Disabilities, 45(3), 449-458.

Flores, M. M. (2009). İnstruction Subtraction with regrouping to students experiencing difficulty in mathematics. Preventing School Failure: Alternative Education for Children and Youth, 53(3), 145-152.

Flores, M. M., Hinton, V. M., and Schweck, K. B. (2014). İnstruction multiplication with regrouping to students with learning disabilities. Learning Disabilities Research & Practice, 29(4), 171-183.

Flores, M. M., Hinton, V. ve Strozier, S. (2014). İnstruction subtraction and multiplication with regrouping using the concrete-representational-abstract sequence and strategic instruction model. Learning Disabilities Research & Practice, 29(2), 75-88.

Gast, D. L. (2010). Single subject research methodology in behavioral sciences. New York: Taylor ve Francis

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

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 Practise in Special Education.” Exceptional Children. V71, i2.

Hudson, P. J., Peterson, S. K., Mercer, C. D. ve McLeod, P. (1988). Place Value Instruction. İnstruction Exceptional Children, 20(3), 72-73.

İnce, M., & Yıkmış, A. (2021). Opinions and recommendations of academics training special education teachers about applicability of integration in Turkey. International Education Studies, 14(11), 54-74. https://doi.org/10.5539/ies.v14n11p54

Jordan, N. C. & Hanich L. B. (2000). Mathematical thinking in second-grade children with different forms of LD. Journal of Learning Disabilities, 33(6), 567 – 578.

Karabulut, A., & Yikmiş, A. (2010). Zihin engelli bireylere saat söyleme becerisinin öğretiminde eşzamanlı ipucuyla öğretimin etkililiği. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 10(2), 103-113.

Maccini, P. ve Hughes, C. A. (2000). Mathematics interventions for adolescents with learning disabilities. Learning Disabilities Research and Practice, 12, 168-176.

Mancl, D. B., Miller, S. P., and Kennedy, M. (2012). Using the concrete-representational abstract instruction sequence with integrated strategy instruction to teach subtraction with regrouping to students with learning disabilities. Learning Disabilities Research & Practice, 27(4), 152-166.

Mastropieri, M. A., & Scruggs, T. E. (2016). Kaynaştırma sınıfı etkili farklılaştırılmış öğretim için stratejiler (beşinci basımdan çeviri. (Çev. Ed. Doç. Dr. Mustafa Şahin ve Doç. Dr. Taner Altun). Bülent Güven (bölüm- Matematik) Ankara: Nobel Akademik Yayıncılık Eğitim Danışmanlığı Tic.Ltd.Şti.

MEB, (2015). İlkokul matematik dersi (1,2,3 ve 4. Sınıflar) öğretim programı, Ankara: Millî Eğitim Bakanlığı.

Melekoğlu, M. A. ve Sak, U. (2017). Öğrenme güçlüğü ve özel yetenek. Ankara: Pegem Akademi

Mercer, C. D. ve Miller, S. P. (1992). İnstruction students with learning problems in math to acquire, understand, and apply basic math facts. Remedial and Special Education, 13, 19–35.

Mercer, D. C. (1987). Students With Learning Disabilities. New York: Merrill Publishing Company.

Miller, S. P. ve Mercer, C. D. (1992). Strategic Math Series: Place Value. Lawrence, KS: Edge Enterprises.

Miller, S. P. ve Mercer, C. D. (1993). Using data to learn about concrete-semiconcrete abstract instruction for students with math disabilities. Journal of Learning Disabilities Research and Practice, 8, 89–96.

Morin, V. ve Miller, S. P. (1998). İnstruction multiplication to middle school students with mental retardation. Education and Treatment of Children, 21, 22 – 36.

Özlü, Ö. (2016). Zihinsel yetersizliği olan öğrencilere çarpma öğretiminde somut-yarı somut-soyut öğretim stratejisinin etkililiği. Yayımlanmamış Yüksek Lisans Tezi. Bolu: Abant İzzet Baysal Üniversitesi, Eğitim Bilimleri Enstitüsü.

Peterson, S. K., Mercer, C. D., McLeod, P. M., and Hudson, P. J. (1989). Validating the concrete to abstract instructional sequence for instruction place value to learning disabled students. Multidisciplinary Diagnostic and Training Program, Florida: Florida University.

Piaget, J. (1971). Biyoloji ve Bilgi: Organik Düzenlemeler ve Bilişsel Süreçler Arasındaki İlişkiler Üzerine Bir Deneme. Chicago, IL: Chicago Press Üniversitesi.

Schug M. C., Tarver, S. G. ve Western R. D. (2001). Direct instruction and instruction of early reading, Policy Research Institute, 14(2), 5-21.

Scruggs, T. E., & Mastropieri, M. A. (2004). Research in Secondary Schools. Advances in Learning and Behavioral Disabilities Elsevier.

Strickland, T. K., and Maccini, P. (2012). The effects of concrete-representational-abstract integration strategy on the ability of students with learning disabilities to multiply linear expression within area problems. Remedial and Special Education, 34(3), 142-153.

Tekin-İftar, E. (Ed.). (2012). Eğitim ve davranış bilimlerinde tek denekli araştırmalar [Single case research in education and behavioral sciences]. Ankara: Türk Psikologlar Derneği.

Van de Walle, J. A. (2012). İlkokul ve ortaokul matematiği gelişimsel yaklaşımla öğretim, (Çev. S. Durmuş). Ankara: Nobel Akademik Yayıncılık.

Witzel, B. S., Mercer D. C. ve Miller, D. M. (2003). İnstruction algebra to students with learning disabilities: an investigation of an explicit instruction model, Learning Disabilities Research & Practice, 18(2), 121-131.

Witzel, B. S., Riccomini, P. J. ve Schneider, E. (2008). Implementing CRA with secondary students with learning disabilities in mathematics, Intervention in School and Clinic, 43(5), 270-276.

Witzel, B. S. (2005). Using CRA to teach algebra to students with math difficulties in ınclusive settings, Learning Disabilities: A Contemporary Journal 3(2), 49–60.

Yıkmış, A. (2012). Etkileşime dayalı matematik öğretimi. (4. baskı). Ankara: Kök yayıncılık




DOI: http://dx.doi.org/10.46827/ejse.v8i3.4363

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