Genel Eğitim Sınıflarında Özel Gereksinimli Öğrencilerin Matematik Başarılarının Desteklenmesi

Yıl 2024, Cilt: 24 Sayı: 2, 176 - 194, 31.12.2024

Ayfer Aslan

https://doi.org/10.54961/uobild.1599474

Öz

Genel eğitim sınıflarında özel gereksinimli öğrencilerin düşük matematik başarısı gösterdiği ve matematik kazanımlarına ulaşamadığı alan yazında belirtilmektedir. Özel gereksinimli öğrencilerin genel eğitim sınıflarında gösterdikleri düşük matematik başarısı büyük oranda etkisiz matematik öğretimi ile ilişkilendirilmektedir. Matematiğin kurallar ve işlemler bütünü olarak ele alındığı, ezbere ve tekrara dayanan öğretim etkinliklerinin özel gereksinimli öğrencilerin öğrenme özelliklerine uygun olmadığı ve öğretimsel ihtiyaçlarına cevap vermediği belirtilmektedir. Özel gereksinimli öğrencilerin genel eğitim sınıflarındaki matematik başarılarının artırılması için öğretmenlerin alan yazında etkili olduğu belirtilen matematik yöntemlerini kullanmaları önerilmektedir. Bu araştırma, özel gereksinimli öğrencilerin matematik başarılarını desteklemede etkili olduğu alan yazında belirtilen öğretimsel uygulamaların derlendiği bir alan yazın taramasını içermektedir.

Anahtar Kelimeler

Özel Gereksinimli Öğrenciler, Matematik Başarısı, Etkili Matematik Uygulamaları

Kaynakça

• Australian Association of Mathematics Teachers (2006). Standards for excellence in teaching mathematics in Australian schools. Retrieved 28 July 2020 from https://aamt.edu.au/wp-content/uploads/2020/10/Standard-of-Excellence.pdf.
• Ball, D. L. (1991). What’s all this talk about ‘‘discourse’’? The Arithmetic Teacher, 39(3), 44-47.
• Boz, N. (2008). Matematik Neden Zor? Necatibey Eğitim Fakültesi Elektronik Fen ve Matematik Eğitimi Dergisi, 2 (2), 52-65.
• Bryant, D. P., Bryant, B. R., & Hammill, D. D. (2000). Characteristic behaviors of students with LD who have teacher-identified math weaknesses. Journal of Learning Disabilities, 33(2), 168–177. https://doi.org/10.1177/002221940003300205.
• Bryant, B. R., Bryant, D. P., Kethley, C., Kim, S. A., Pool, C., & Seo, Y.-J. (2008). Preventing mathematics difficulties in the primary grades: The critical features of instruction in textbooks as part of the equation. Learning Disability Quarterly, 31(1), 21–35.
• Carnine, D. W., Silbert, J., Kame’enui, E. J., & Tarver, S. G. (2004). Direct instruction reading (4th ed.). Upper Saddle River, NJ: Prentice Hall/Merrill.
• Chapin, S. H., & Eastman, K. E. (1996). External and internal characteristics of learning environments. The Mathematics Teacher, 89(2), 112-115.
• Doabler, C. T., Baker, S. K., Kosty, D., Smolkowski, K., Clarke, B., Miller, S. J., Fien, H. (2015). Examining the association between explicit mathematics instruction and student mathematics achievement. Elementary School Journal, 115, 303-333.
• Durkin, K., Star, J. R., & Rittle-Johnson, B. (2017). Using comparison of multiple strategies in the mathematics classroom: lessons learned and next steps. ZDM, 49(4), 585-597.
• Fuchs, L. S., & Fuchs, D. (2001). Principles for the prevention and intervention of mathematics difficulties. Learning Disabilities Research & Practice, 16, 85-95, 495-5.
• Fuson, K. C., & Briars, D. J. (1990). Using a base-ten blocks learning/teaching approach for first- and second-grade place-value and multidigit addition and subtraction. Journal for Research in Mathematics Education, 21(3), 180–206. https://doi.org/10.2307/749373.
• Geary, D. C. (2003). Learning disabilities in arithmetic: Problem-solving differences and cognitive deficits. In H. L. Swanson, K. R. Harris, & S. Graham (Eds.), Handbook of learning disabilities (pp. 199–212). The Guilford Press.
• Gersten, R., Chard, D. J., Jayanthi, M., 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.
• Goldin, G. A., & Kaput, J. J. (1996). A joint perspective on the idea of representation in learning and doing mathematics. In L. P. Steffe & P. Nesher (Eds.), Theories of mathematical learning (pp. 397-430). Mahwah, NJ: Lawrence Erlbaum Associates.
• Goldman, S. R. (1989). Strategy instruction in mathematics. Learning Disability Quarterly, 12(1), 43-55. https://doi.org/10.2307/1510251.
• Haylock, D., & Cockburn, A. (2014). Küçük çocuklar için matematiği anlama. Zuhal Yılmaz (Çev. Ed.). Ankara: Nobel.
• Hudson, P., & Miller, S. P. (2006). Designing and implementing mathematics instruction for students with diverse learning need. Boston, MA: Allyn and Bacon.
• Hughes, E. M., Powell, S. R., Lembke, E. S., & Riley-Tillman, T. C. (2016). Taking the guesswork out of locating evidence-based practices for diverse learners. Learning Disabilities Research and Practice, 31, 130–141. http://dx.doi.org/10.1111/ldrp.12103.
• Jitendra, A. K. (2002). Teaching students math problem-solving through graphic representations. Teaching Exceptional Children, 34(4), 34-38.
• Jitendra, A. K., Dupuis, D. N., Star, J. R., & Rodriguez, M. C. (2016). The effects of schema-based instruction on the proportional thinking of students with mathematics difficulties with and without reading difficulties. Journal of Learning Disabilities, 49(4), 354-367. https://doi.org/10.1177/0022219414554228.
• Jitendra, A. K., Star, J. R., Dupuis, D. N., Rodriguez, M. C. (2013). Effectiveness of schema-based instruction for improving seventh-grade students’ proportional reasoning: A randomized experiment. Journal of Research on Educational Effectiveness, 6, 114-136. doi: 10.1080/19345747.2012.725804.
• Jitendra, A. K., Star, J. R., Rodriguez, M., Lindell, M., & Someki, F. (2011). Improving students’ proportional thinking using schema-based instruction. Learning and Instruction, 21, 731-745.
• Kavale, K. A., & Reese, J. H. (1992). The character of learning disabilities: An Iowa profile. Learning Disability Quarterly, 15(2), 74–94. https://doi.org/10.2307/1511010.
• Kingsdorf, S., & Krawec, J. (2014). Error analysis of mathematical word problem solving across students with and without learning disabilities. Learning Disabilities. Research Practice, 29, 66-74. https://doi.org/10.1111/ldrp.12029.
• Kot, M. (2014). Zihinsel yetersizliği olan öğrencilere problem çözme becerisinin öğretiminde şemaya dayalı öğretim stratejisinin etkililiği (Yayınlanmamış yüksek lisans tezi). Abant İzzet Baysal Üniversitesi, Eğitim Bilimleri Enstitüsü, Bolu.
• Kot, M. ve Yıkmış, A. (2017). Zihin Yetersizliği Olan Öğrencilere Problem Çözme Becerisinin Öğretiminde Şemaya Dayalı Öğretim Stratejisinin Etkisi. Kalem Eğitim ve İnsan Bilimleri Dergisi, 8 (2), 335-358.
• Krawec, J. L. (2014). Problem representation and mathematical problem solving of students of varying math ability. Journal of Learning Disabilities, 47(2), 103–115.
• Krawec, J., Huang, J., Montague, M., Kressler, B., & de Alba, A. M. (2013). The effects of cognitive strategy instruction on knowledge of math problem-solving processes of middle school students with learning disabilities. Learning Disability Quarterly, 36(2), 80-92. https://doi.org/10.1177/0731948712463368.
• Kroesbergen, E. H., & Van Luit, J. E. H. (2003). Mathematics interventions for children with special educational needs: A meta-analysis. Remedial and Special Education, 24(2), 97-114. https://doi.org/10.1177/07419325030240020501.
• Lappan, G., & Schram, P. (1989). Communication and Reasoning: Critical Dimensions of Sense Making in Mathematics. In Trafton, P. R., & Shulte, A. P. (Eds.), New Directions for Elementary School Mathematics: Yearbook (pp. 14-30). Reston, VA: NCTM Inc.
• Lembke, E., & Stecker, P. (2007). Curriculum-based measurement in mathematics. Portsmouth, NH: RCM Research Corporation, Center on Instruction.
• Lesh, R., Post, T., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. In C. Janvier (Ed.), Problems of Representation in the Teaching and Learning of Mathematics (pp. 33–40). New Jersey: Lawrence Erlbaum Associates.
• Luneta, K., & Makonye, P. J. (2010). Learners errors and misconceptions in elementary analysis: A case study of a Grade 12 class in South Africa. Acta Didactica Napocenia, 3(3), 36-45.
• Maugesten, M. (2019). Good mathematics teaching at lower primary school level. Paper presented at the Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands.
• Monroe, E. (1998). Using graphic organizers to teach vocabulary: Does available research inform mathematics instruction? Education, 118(4), 538-540.
• Montague, M. (2007). Self-regulation and mathematics instruction. Learning Disabilities Research & Practice, 22(1), 75-83.
• Montague, M., Applegate, B., & Marquard, K. (1993). Cognitive strategy instruction and mathematical problem-solving performance of students with learning disabilities. Learning Disabilities Research & Practice, 8(4), 223-232.
• Montague, M., Enders, C., & Dietz, S. (2011). Effects of cognitive strategy instruction on math problem solving of middle school students with learning disabilities. Learning Disability Quarterly, 34(4), 262–272.
• Montague, M., Krawec, J., Enders, C., & Dietz, S. (2014). The effects of cognitive strategy instruction on math problem solving of middle-school students of varying ability. Journal of Educational Psychology, 106(2), 469–481. https://doi.org/10.1037/a0035176.
• Montague, M., Warger, C., & Morgan, T. H. (2000). Solve it! Strategy instruction to improve mathematical problem solving. Learning Disabilities Research & Practice, 15(2), 110–116. https://doi.org/10.1207/SLDRP1502_7.
• National Center for Education Statistics (2015). About the 2015 mathematics assessment. Retrieved from https://www.nationsreportcard.gov/reading_math_2015/#mathematics/about.
• National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: National.
• Owens, K.D., Clements, M.A. (1998). Ken. Representations in spatial problem solving in the classroom. The Journal of Mathematical Behavior, 17, 197–218.
• Powell, S. R. (2015). Connecting evidence-based practice with implementation opportunities in special education mathematics preparation. Intervention in School and Clinic, 50, 266-272. https://doi.org/10.1177/1053451215579269.
• Pfannenstiel, K. H., Bryant, D. P., Bryant, B. R., & Porterfield, J. (2015). Cognitive strategy instruction for teaching word problems to primary-level struggling students. Intervention in School and Clinic, 50(5), 291–296.
• Rameau, P., & Louime, C. (2007). Mathematics phobia: Are the mathematical sciences a pothole in the road of life? Indian Academy of Sciences.
• Rosenzweig, C., Krawec, J., & Montague, M. (2011). Metacognitive strategy use of eighth-grade students with and without learning disabilities during mathematical problem solving: a think-aloud analysis. Journal of Learning Disabilities, 44(6), 508-520. https://doi.org/10.1177/0022219410378445.
• Russell, S. J. (2000). Developing computational fluency with whole numbers. Teaching Children Mathematics, 7(3), 154-158.
• Salvia, J., & Ysseldyke, J. E. (2004). Assessment in special and inclusive education (9th ed.). New York: Houghton Mifflin.
• Shalev, R.S., Auerbach, J., Manor, O., & Gross-Tsur, V. (2000). Developmental dyscalculia: Prevalence and prognosis. European Child and Adolescent Psychiatry, 9, 58-64.
• Sherin, M. G. (2002). A balancing act: Developing a discourse community in a mathematics community. Journal of Mathematics Teachers Education, 5, 205–233.
• Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20-26.
• Sperry-Smith, S. (2016). Erken çocuklukta matematik. (çev. Serap Erdoğan) Ankara: Eğiten Kitap.
• Stevens, E.A., Rodgers, M.A., & Powell, S.R. (2017). Mathematics interventions for upper elementary and secondary students: A meta-analysis of research. Remedial and Special Education, 39(6), 327-340. https://doi.org/10.1177/0741932517731887.
• Swanson, H. L., Lussier, C. M., & Orosco, M. J. (2015). Cognitive strategies, working memory, and growth in word problem solving in children with math difficulties. Journal of Learning Disabilities, 48(4), 339–358. https://doi.org/10.1177/0022219413498771.
• Toluk, Z. (2003). Üçüncü Uluslararası Matematik ve Fen Araştırması (TİMSS): Matematik nedir? İlköğretim-Online, 2(1), 36-41.
• Toptaş, V., Olkun, S., Çekirdekçi, S. ve Sarı, M. H. (Ed.). (2020). İlkokulda matematik öğretimi. Ankara: Vizetek.
• Tuncer, A.T. (2009). Şemaya dayalı sözlü matematik problemi çözme stratejisinin görme yetersizliği olan öğrencilerin sözlü problem çözme performanslarına etkisi. Eğitim ve Bilim, 34(153), 183-197.
• Umay, A. (1996). Matematik eğitimi ve ölçülmesi. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 12, 145-149.
• Umay, A. (2002). Öteki matematik. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 23, 275-281.
• Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2019). Elementary and middle school mathematics: Teaching developmentally (8th ed.). Upper Saddle River, NJ: Pearson.
• Van der Walt, M., Maree, K., & Ellis, S. (2008). A mathematics vocabulary questionnaire for immediate use in the intermediate phase. South African Journal of Education, 28, 489-504.
• Van Garderen, D., Scheuermann, A., & Jackson, C. (2012). Examining how students with diverse abilities use diagrams to solve mathematics word problems. Learning Disability Quarterly, 36(3), 145–160.
• Van Garderen, D., Scheuermann, A., Poch, A. (2014). Challenges students with learning disabilities experience when using diagrams as a visualization tool to solve mathematics word problems. ZDM: International Journal on Mathematics Education, 46, 135–149. https://doi.org/10.1007/s11858-013-0519-1.
• Varol, F., & Farran, D. C. (2006). Early mathematical growth: How to support young children’s mathematical development. Early Childhood Education Journal, 33(6), 381-387.
• Whitenack, J.W., Knipping N., Novinger, S., Underwood, G. (2001, December). Second Graders Circumvent Addition and Subtraction Difficulties. Teaching Children Mathematics, 8 (4), 228-233.
• Wolfe, J. (2002). Learning from the past: Historical voices in early childhood education (2nd ed.). Alberta, CA: Mayerthorpe, Piney Branch Press.