Tek Basamaklı Sözel Kelime Problemlerinin Sanal Soyut-Yarı Somut-Somut Model ile Öğretimi Hakkında Yetersizliği Olan Öğrencilerin Görüşlerinin İncelenmesi

Abstract

Günümüzde, matematik bilgisi öğrencilere dünyayı anlamaları ve kendilerini kolayca adapte etmeleri için olanak sunar. Bu yüzden, gelecek akademik hayatlarında başarılı olabilmeleri için öğrenciler temel matematik ve sözel problemleri çözme becerilerini ilkokul yıllarında kavramalı ve eski ile yeni bilgileri bir araya getirebilmelidir. Malesef, yetersizliği olan öğrenciler matematikte zorlanmaktadır ve gelecekteki akademik yaşantıları olumsuz etkilenmektedir. Literatürde, somut-yarı somutsoyut SYS öğrenme modelinin yetersizliği olan öğrencilere matematik öğretmek için uygun bir yöntem olduğunu kanıtlayan birçok araştırma vardır. Bununla beraber teknolojinin gelişmesi ile beraber sanal manipülatifler matematik öğretiminde kullanılmaya başlanmıştır. Fakat bu tür manipülatifleri kullanan araştırmalar sınırlı sayıdadır. Bu sebepten dolayı, bu araştırmada, araştırmacı sanal manipülatiflerin SYS öğrenme modeli içine yerleştirdiği bir iPad uygulaması geliştirmiştir. iPad uygulaması üç aşamadan oluşturulmuş olup, soruları çözerken öğrencilerin kavramsal ve yöntemsel anlayışlarını geliştirmek için tasarlanmıştır. Bu araştırmanın amacı yetersizliği olan öğrencilerin iPad uygulamasını kullanarak çarpma işlemli sözel problemlemleri çözmeyi öğrenirken sahip oldukları görüşleri incelemektir. Öğrenciler araştırma için bazı şartlara göre seçileceğinden dolayı sistematik zümrelere göre örnekleme yöntemi kullanılacaktır. Araştırmada sabit karşılaştırmalı yöntem kullanılanılmıştır. Bu araştırmanın bulguları İpad uygulamasının tek basamaklı sözel çarpma işlemlerinin öğretiminde yetersizliği olan öğrenciler için etkili olduğunu ortaya koymuştur

Keywords

• Yetersizliği Olan Öğrenciler, iPad Uygulaması, Sanal Manipülatifler, Matematik, Sözel Problemler

The Investigation of the Perceptions of Students with Disabilities on the Virtual Concrete-Representational-Abstract Model to Teach One Digit Multiplication Word Problem

Abstract

In today’s world, the knowledge of mathematics provides students opportunity to understand the world and helps them adopt themselves to the world easily. In this respect, students need to comprehend basic mathematical and word problem skills in elementary grades and combine new and old knowledge to be successful in future academic lives. Unfortunately, students with disabilities struggle in mathematics, and it affects their future academic achievement negatively. Many studies support evidence about concrete-representational-abstract CRA sequence to teach mathematics to students with disabilities. In addition to this, with development of technology, virtual manipulative began to be used in teaching mathematics. However, studies used virtual manipulative were limited. Therefore, in this study, the researcher created an iPad application that follows the CRA enriched with virtual manipulative. The iPad application has three phases and is designed to teach how to solve multiplication word problems conceptually and procedurally. The purpose of this study is to understand the perceptions of students with disabilities on teaching to solve multiplication word problems by using the CRA enriched with virtual manipulative. Systematic cluster sampling method is used since students are selected based on some criteria. In this study, the constant comparative method is used. The findings of this study revealed the iPad tool was effective for students with disabilities to teach one-digit multiplication word problems

Keywords

• Students with Disabilities, iPad application, Virtual Manipulatives, Mathematics, Word Problem

References

1. Alter, P., Brown, E. T. & Pyle, J. (2011). A strategy-based intervention to improve math Word problem-solving skills of students with emotional and behavioral disorders. Education and Treatment of Children, 34(1), 535-550.
2. Bouck, E., Satsangi, R., Doughty, T. & Courtney, W. (2014). Virtual and concrete manipulatives: A comparison of approaches for solving mathematics problems for students with autism spectrum disorder. Journal of Autism & Developmental Disorders, 44(1), 180-193. doi:10.1007/s10803-013-1863-2
3. Bouck, E., Working, C. & Bone, E. (2017). Manipulative apps to support students with disabilities in mathematics. Intervention in School and Clinic, 53(8), 1-6.
4. Burns, M. K., Walick, C., Simonson, G. R., Dominguez, L., Harelstad, L., Kincaid, A. & Nelson, G. S. (2015). Using a conceptual understanding and procedural fluency heuristic to target math interventions with students in early elementary. Learning Disabilities Research & Practice, 30(2), 52-60. doi:10.1111/ldrp.12056
5. 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, 99- 111. doi:10.1111/1540-5826.00066
6. Flores, M. M. (2009). Teaching subtraction with regrouping to students experiencing difficulty in mathematics. Preventing School Failure, 53(3), 145-152.
7. Flores, M. M. (2010). Using the concrete-representational-abstract sequence to teacher subtraction with regrouping to students at risk for failure. Remedial and Special Education, 31(3), 195–207.
8. Flores, M. M., Hinton, V. M. & Schweck, K. B. (2014). Teaching multiplication with regrouping to students with learning disabilities. Learning Disabilities Research & Practice, 29(4), 171-183. doi:10.1111/ldrp.12043

9. Glaser, B. G. & Strauss, A. L. (1965). The constant comparative method of qualitative analysis. Social problems, 12(4), 436-445.
10. Gersten, R., Chard, D. J., Jayanthi, M., Baker, S. K., Morphy, P. & Flojo, J. (2008). Mathematics instruction for students with learning disabilities: A meta-analysis of instructional components. Review of Educational Research, 79(3), 1202–1242.
11. Harris, C. A., Miller, S. P. & Mercer, C. D. (1995). The initial multiplication skills to students with disabilities in general education classrooms. Learning Disabilities Research & Practice, 10(3), 180-195.
12. Jitendra, A. K., George, M. P., Stood, S. & Price, K. (2010). Schema-based instruction: Facilitating mathematical word problem solving for students with emotional and behavioral disorders. Preventing School Failure, 54(3), 145- 151. doi:10.1080/10459880903493104
13. Kelly, C. A. (2006). Using manipulatives in mathematical problem solving: A performance-based analysis. The Mathematics http://scholarworks.umt.edu/cgi/viewcontent.cgi?article=1049&context=tme Enthusiast, 3(2), 183-193. Retrieved from:
14. Maccini, P., Strickland, T., Gagnon, J. C. & Malmgren K. (2008). Accessing the general education math curriculum for secondary students with high-incidence disabilities. Focus on Exceptional Children, 40(8), 1-32.
15. Martin, T. (2007). Physically distributed learning with virtual manipulatives for elementary mathematics. In Robinson, D. H. & Schraw, G., Recent innovations in educational technology that facilitate student learning (253-274). Information Age Publishing: Charlotte, NC.
16. Martin, T. & Lukong, A. (April, 2005). Virtual manipulatives: How effective are they and why? Paper presented at the American Educational Research Association Annual Conference, Montreal, Canada.
17. Mercer, C. D, & Miller, S. P. (1992). Teaching students with learning problems in math to acquire, understand, and apply basic, math facts. Remedial and Special Education, 13, 19-35.
18. Morin, V. A. & Miller, S. P. (1998). Teaching multiplication to middle school students with mental retardation. Education and Treatment of Children, 21(1), 22-36.
19. Moyer, P. S. (2001). Are we having fun yet? How teachers use manipulatives to teach mathematics. Educational Studies in Mathematics, 47, 175-197.
20. Mulcahy, C. A. & Krezmien, M. P. (2009). Effects of a contextualized instructional package on the mathematics performance of secondary students with EBD. Behavioral Disorders, 34(3), 136-150.
21. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
22. National Governors Association Center for Best Practices, Council of Chief State School Officers. (2010). Common core state standards (mathematics). Author. Retrieved from http://www.corestandards.org/
23. Ok, M. W. & Kim, W. (2017). Use of iPads and iPods for academic performance and engagement of pre-k-12 students with disabilities: A research synthesis. Exceptionality, 25(1), 54-75.
24. Özdemir, R. (2017). The investigation of virtual concrete-representational-abstract model to teach one digit multiplication word problem to students with emotional and behavioral disorders (Order No. 10284142). Available from ProQuest Dissertations & Theses Global. (1926728075).
25. Peltier, C. & Vannest, K. J. (2016a). Schema-based strategy instruction and the mathematical problem-solving performance of two students with emotional and behavioral disorders. Education and Treatment of Children, 39(4), 521-544.
26. Peltier, C. & Vannest, K. J. (2016b). Utilizing the STAR strategy to improve the mathematical problem-solving abilities of students with emotional and behavioral disorders. Beyond Behavior, 25(1), 9-15.
27. Peterson, S. K., Mercer, C. D. & O’Shea, L. (1988). Teaching learning disabled students place value using the concrete to abstract sequence. Learning Disabilities Research, 4, 52-56.
28. Reimer, K. & Moyer, P. S. (2005). Third-graders learn about fractions using virtual manipulatives: A classroom study. Journal of Computers in Mathematics and Science Teaching, 24(1), 5-25.
29. Root, J. R., Browder, D. M., Saunders, A. F. & Lo, Y. (2017). Schema-based instruction with concrete and virtual manipulatives to teach problem solving to students with autism. Remedial and Special Education, 38(1), 42-52. doi: 10.1177/0741932516643592
30. Satsangi, R., Bouck, E. C., Taber-Doughty, T., Bofferding, L. & Roberts, C. A. (2016). Comparing the effectiveness of virtual and concrete manipulatives to teach algebra to secondary students with learning disabilities. Learning Disability Quarterly, 39(4), 240- 253. doi: 10.1177/0731948716649754
31. Strauss, A. L. & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Sage Publications, Inc: Thousand Oaks, CA
32. Suh, J. & Moyer, P. S. (2007). Developing students' representational fluency using virtual and physical algebra balances. Journal of Computers in Mathematics and Science Teaching, 26(2), 155-173.
33. 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(5), 270-276.