International Journal of Progressive Education
ISSN (Print): 2834-7919 - ISSN (Online): 1554-5210

Research article    |    Open Access
International Journal of Progressive Education 2021, Vol. 17(2) 83-100

Investigating the Effectiveness of STAR Strategy in Math Problem Solving

Ufuk Özkubat, Alpaslan Karabulut & Ahmet Serhat Uçar

pp. 83 - 100   |  DOI: https://doi.org/10.29329/ijpe.2021.332.6

Publish Date: April 07, 2021  |   Single/Total View: 420/925   |   Single/Total Download: 601/1.496

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Abstract

Focusing on students with mild disabilities, this study aimed to examine the effect of STAR problem solving strategy on their a) solving change problems involving one-step addition and subtraction, b) maintaining their acquisition of solving change problems involving one-step addition and subtraction after 1, 3, and 5 weeks, c) generalizing their performance in solving problems to the classroom environment. Three students with mild mental disabilities participated in the study. A multiple probe across participants design was used in the study. The number of problems that students solved correctly was determined by scoring the data. The data are shown graphically and analysed visually. Findings emphasized the effectiveness of STAR strategy for students with mild mental disabilities when solving change problems that involve a one-step addition and subtraction, indicating that those who acquired this strategy could demonstrate the same problem solving performance 1, 3, and 5 weeks after the intervention. Also, students were observed to generalize their strategy performance to the classroom environment. The findings of the research were discussed within the framework of the relevant literature and theoretical views, and suggestions were made for teachers in terms of interventions and for researchers considering further studies.

Keywords: Math Problem Solving, STAR Strategy, Cognitive and Metacognitive Strategies, Mental Disability

How to Cite this Article?

APA 7th edition
Ozkubat, U., Karabulut, A., & Ucar, A.S. (2021). Investigating the Effectiveness of STAR Strategy in Math Problem Solving. International Journal of Progressive Education, 17(2), 83-100. https://doi.org/10.29329/ijpe.2021.332.6

Harvard
Ozkubat, U., Karabulut, A. and Ucar, A. (2021). Investigating the Effectiveness of STAR Strategy in Math Problem Solving. International Journal of Progressive Education, 17(2), pp. 83-100.

Chicago 16th edition
Ozkubat, Ufuk, Alpaslan Karabulut and Ahmet Serhat Ucar (2021). "Investigating the Effectiveness of STAR Strategy in Math Problem Solving". International Journal of Progressive Education 17 (2):83-100. https://doi.org/10.29329/ijpe.2021.332.6

References
  1. Bennett, K. (1982). The effects of syntax and verbal mediation on learning disabled students' verbal mathematical problem solving. Doctoral Dissertation, Northern Arizona University, Arizona. [Google Scholar]
  2. Billingsley, F., White, O.R., & Munson, R. (1980). Procedural reliability: A rationale and an example. Behavioral Assessment. 2, 229-241. [Google Scholar]
  3. 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, 168-177. [Google Scholar]
  4. Carpenter, T. P., Ansell, E., Franke, M. L., Fennema, E., & Weisbeck, L. (1993). Models of problem solving: A study of kindergarten children's problem-solving processes. Journal for Research in Mathematics Education, 24 (5), 428-441. [Google Scholar]
  5. Case, L. P., Harris, K. R. & Graham, S. (1992). Improving the mathematical problem-solving skills of students with learning disabilities: Self-regulated strategy development. The Journal of Special Education, 26, 1–19. [Google Scholar]
  6. Case, L., & Harris, K. R. (1988). Self-ınstructional strategy training: Improving the mathematical problem solving skills of learning disabled students. Speeches/Conference Papers. [Google Scholar]
  7. Chung K. H., & Tam, Y. H. (2005) Effects of cognitive-based instruction on mathematical problem solving by learners with mild intellectual disabilities. Journal of Intellectual and Developmental Disability, 30(4) 207-216. [Google Scholar]
  8. Cote, D., Pierce T., Higgins K., Miller S., Tandy R.& Sparks S. (2010). Increasing skill performances of problem solving in students with intellectual disabilities. Education and Training in Autism and Developmental Disabilities, 45(4), 512-524 [Google Scholar]
  9. Daniel, G. E. (2003). Effects of cognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities. Doctoral Dissertation, Ohio State University, Columbus. [Google Scholar]
  10. Foegen, A. (2008). Algebra progress monitoring and interventions for students with learning disabilities. Learning Disability Quarterly, 31(2), 65-78. [Google Scholar]
  11. Fuchs, L. S., Fuchs, D., Prentice, K., Hamlett, C. L., Finelli, R., & Courey, S. J. (2004). Enhancing mathematical problem solving among third-grade students with schema-based instruction. Journal of Educational Psychology, 96(4), 635-647. [Google Scholar]
  12. Fuchs, L. S., Fuchs, D., & Prentice, K. (2004). Responsiveness to mathematical problem-solving instruction: Comparing students at risk of mathematics disability with and without risk of reading disability. Journal of Learning Disabilities, 37(4), 293-306. [Google Scholar]
  13. Gast, D. L. (2010). Single subject research methodology in behavioral sciences. New York: Taylor & Francis. [Google Scholar]
  14. Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37(1), 4-15. [Google Scholar]
  15. 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(3), 1202-1242. [Google Scholar]
  16. Goldman, S. R., & Saul, E. U. (1990). Flexibility in text processing: A strategy competition model. Learning and Individual Differences, 2(2), 181-219. [Google Scholar]
  17. House, A. W., House, B. G., & Campbell, M. B. (1981). Measures of interobserver agreement: Calculation formula and distribution effect. Journal of Behavioral Assessment, 3, 37-57. [Google Scholar]
  18. Huffman, L. F., Fletcher, K. L., Grupe, L. A. & Bray, N. W. (2004). Similarities and differences in early addition strategies in children with and without mental retardation. Education and Training in Developmental Disabilities, 39, 317-325. [Google Scholar]
  19. Hughes, C. A., Maccini, P., & Gagnon, J. C. (2003). Interventions that positively impact the performance of students with learning disabilities in secondary general education classes. Learning Disabilities: A Multidisciplinary Journal, 12, 101–111. [Google Scholar]
  20. Hunt, J. H., & Vasquez, E. (2014). Effects of ratio strategies intervention on knowledge of ratio equivalence for students with learning disability. The Journal of Special Education, 48, 180–190. [Google Scholar]
  21. Hutchinson, N. L. (1993). Effects of cognitive strategy instruction on algebra problem solving of adolescents with learning disabilities. Learning Disability Quarterly, 16, 34-63. [Google Scholar]
  22. Iseman J. S.& Naglieri J. A. (2011) A Cognitive Strategy Instruction to Improve Math Calculation for Children With ADHD and LD: A Randomized Controlled Study Journal of Learning Disabilities 44(2), 184–195 [Google Scholar]
  23. Işık, A., & Konyalıoğlu, A. C. (2005). Visualization approach in mathematics education. Journal of Ataturk University Kazım Karabekir Faculty of Education, 11, 462-471. [Google Scholar]
  24. Ives, B. (2007). Graphic organizers applied to secondary algebra instruction for students with learning disorders. Learning Disabilities Research & Practice, 22, 110–118. [Google Scholar]
  25. Jitendra A.and DiPipi C. M.& Peron-Jones, N. (2002). An exploratory study of schema-based word-problem-solving ınstruction for middle school students with learning disabilities: an emphasis on conceptual and procedural understanding. The Journal of Special Education, 36, 23-38. [Google Scholar]
  26. Jitendra A., George M.P., Sood 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. [Google Scholar]
  27. Jitendra, A. & Hoff, K. (1996). The effects of schema-based instruction on the mathematical word-problem-solving performance of students with learning disabilities. The Journal of Learning Disabilities. 29(4) 422-431. [Google Scholar]
  28. Jonassen, D. H. (2003). Using Cognitive Tools to Represent Problems. Journal of Research on Technology in Education, 35(3), 142-163. [Google Scholar]
  29. Karabulut, A. (2015). Effectiveness of “understand and solve!” strategy instruction on mathematical problem solving of students with mild intellectual disabilities. Doctoral Dissertation, Gazi University, Ankara. [Google Scholar]
  30. Karabulut, A., & Özkubat, U. (2019). Problem Solving. Alptekin, S. (Ed), Mathematics in Special Education (pp. 263-293). Eğiten. [Google Scholar]
  31. Karabulut, A., & Özmen, E. R. (2018). Effect of “understand and solve!” strategy ınstruction on mathematical problem solving of students with mild ıntellectual disabilities. International Electronic Journal of Elementary Education, 11(2), 77-90. [Google Scholar]
  32. Karabulut, A., Yıkmış, A., Özak, H., & Karabulut, H. (2015). The effect of schema based problem solving strategy on problem solving performance of students with intellectual disabilities. Journal of Abant Izzet Baysal University Faculty of Education, 15, 243-258. [Google Scholar]
  33. Keeler, M. L., & Swanson, H. L. (2001). Does strategy knowledge ınfluence working memory in children with mathematical disabilities?. Journal of Learning Disabilities, 34(5), 418, 439. [Google Scholar]
  34. Konyalıoğlu, A. C. (2003). Investigation of effectiveness of visualization approach on understanding of concepts in vector spaces at the university level. Doctoral Dissertation, Erzurum University, Erzurum. [Google Scholar]
  35. Lucangeli, D., & Cabrele, S. (2006). The relationship of metacognitive knowledge, skills and beliefs in children with and without mathematical learning disabilities. In A. Desoete & M. V. Veenman (Eds.), Metacognition in Mathematics Education (pp. 103-133) New York: Nova Science. [Google Scholar]
  36. Maccini, P. & Gagnon, J. (2001). Preparing students with disabilities for algebra. Teaching Exceptional Children, 34(1), 8-15. [Google Scholar]
  37. 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& Practice, 15,10–21. [Google Scholar]
  38. Maccini, P., & Ruhl, K. L. (2000). Effects of a graduated instructional sequence on the algebraic subtraction of integers by secondary students with learning disabilities. Education and Treatment of Children, 23(4), 465-189. [Google Scholar]
  39. Maccini, P., Mulcahy, C. A., & Wilson, M. G. (2007). A follow-up of mathematics interventions for secondary students with learning disabilities. Learning Disabilities Research & Practice, 22(1), 58- 74. [Google Scholar]
  40. İpek, J., & Malaş, H. (2013). The effects of star strategy of computer-assisted mathematics lessons on the achievement and problem solving skills in 2nd grade courses. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 7(2), 314-345. [Google Scholar]
  41. Mancl, D. B. (2011). Investigating the effects of a combined problem-solving strategy for students with learning difficulties in mathematics. Php Thesis, University of Nevada, Las Vegas. [Google Scholar]
  42. Marita, S., & Hord, C. (2017). Review of mathematics interventions for secondary students with learning disabilities. Learning Disability Quarterly, 40(1), 29-40. [Google Scholar]
  43. Marshall, S. P. (1995). Schemas in problem solving. New York: Cambridge University Press. [Google Scholar]
  44. MoNE (2005). Mathematics Program for 1-5.Grades, Ankara. [Google Scholar]
  45. Miller, S. P., & Hudson, P. J. (2007). Using evidence‐based practices to build mathematics competence related to conceptual, procedural, and declarative knowledge. Learning Disabilities Research & Practice, 22(1), 47-57. [Google Scholar]
  46. Montague, M. (1992). The effects of cognitive and metacognitive strategy instruction on mathematical problem solving of middle school students with learning disabilities. Journal of Learning Disabilities, 25, 230-248. [Google Scholar]
  47. Montague, M. (1997). Cognitive strategy instruction in mathematics for students with learning disabilities. Journal of Learning Disabilities, 30, 164-177. [Google Scholar]
  48. Montague, M. (2007). Self‐regulation and mathematics instruction. Learning Disabilities Research & Practice, 22(1), 75-83. [Google Scholar]
  49. Montague, M. (2008). Self-regulation strategies to improve mathematical problem solving for students with learning disabilities. Learning Disability Quarterly, 31, 37-44. [Google Scholar]
  50. Montague, M., & Dietz, S. (2009). Evaluating the evidence base for cognitive strategy instruction and mathematical problem solving. Exceptional Children, 75(3), 285-302. [Google Scholar]
  51. Naglieri, J. A. & Gottling, s.H. (1995). A study of planning and mathematics instruction for students with learning disabilities. Psychological Reports,76, 1343–1354. [Google Scholar]
  52. Naglieri, J. A. & Johnson, D. (2000). Effectiveness of a cognitive strategy intervention in improving arithmetic computation based on the PASS theory. Journal of Learning Disabilities, 33, 591–597. [Google Scholar]
  53. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics, National Council of Teachers of Mathematics, Reston, VA. [Google Scholar]
  54. Owens, K. D., & Clements, M. K. (1998). Representations in spatial problem solving in the classroom. The Journal of Mathematical Behavior, 17(2), 197-218. [Google Scholar]
  55. Özkubat, U. (2019). An examination of the relationships between cognitive strategies and metacognitive functions used during mathematical problem solving by the students with learning disabilities, low achieving, and average achieving. Doctoral dissertation, Gazi University, Ankara. [Google Scholar]
  56. Özkubat, U., Karabulut, A., & Akçayır, İ. (2020). Solving mathematics problems using schemas: Examining schema-based instructional interventions from the perspective of students with learning disabilities. Ondokuz Mayis University Journal of Education Faculty, 39(2), 327-342. [Google Scholar]
  57. Özkubat, U., Karabulut, A., & Özmen, E. R. (2020). Mathematical problem-solving processes of students with special needs: A cognitive strategy instruction model 'Solve It!'. International Electronic Journal of Elementary Education, 12(5), 405-416. [Google Scholar]
  58. Özkubat, U., & Özmen, E. R. (2018). Analysis of mathematical problem solving process of students with learning disability: Implementation of think aloud protocol. Ankara University Faculty of Educational Sciences Journal of Special Education, 19(1), 155-180. [Google Scholar]
  59. Özkubat, U., & Özmen, E. R. (2020). Turkish adaptation of the metacognitive experiences questionnaire in solving math problems. OPUS International Journal of Society Researches, 16(31), 3958-3984. [Google Scholar]
  60. Parmar, S., & Cawley, J. (1997). Preparing teachers to teach mathematics to students with learning disabilities. Journal of Learning Disabilities, 30(2), 188-197. [Google Scholar]
  61. Passolunghi, M. C., Marzocchi, G. M., & Fiorillo, F. (2005). Selective effect of inhibition of literal or numerical irrelevant information in children with attention deficit hyperactivity disorder (ADHD) or arithmetic learning disorder (ALD). Developmental Neuropsychology, 28, 731-753. [Google Scholar]
  62. Peltier, C., & Vannest, K. J. (2016). Utilizing the STAR strategy to improve the mathematical problem-solving abilities of students with emotional and behavioral disorders. Beyond Behavior, 25(1), 9-15. [Google Scholar]
  63. Polya, G. (1957). How to solve it. Garden City, N.Y.: Doubleday-Anchor. [Google Scholar]
  64. Rivera, D. (1997). Mathematics education and students with learning disabilities: Introduction to special series. Journal of Learning Disabilities, 30(1), 19-68. [Google Scholar]
  65. Rozenzweig, 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. [Google Scholar]
  66. Scheuermann, A. M., Deshler, D. D., & Schumaker, J. B. (2009). The effects of the explicit inquiry routine on the performance of students with learning disabilities on one-variable equations. Learning Disability Quarterly, 32(2), 103-120. [Google Scholar]
  67. Strickland, T.K., & Maccini, P. (2013). The effects of the concrete-representationalabstract-integration strategy on the ability of students with learning disabilities to multiply linear expressions within area problems. Remedial and Special Education, 34(3), 142-153. [Google Scholar]
  68. Sweeney, C. M. (2010). The metacognitive functioning of middle school students with and without learning disabilities during mathematical problem solving. Doctoral Dissertations, University of Miami, Florida. [Google Scholar]
  69. Tufan, S. & Aykut, Ç. (2018). The effect of schema based strategy and self- monitoring on problem solving performance of students with mild ıntellectual disability. Elementary Education Online, 17(2), 613-641. [Google Scholar]
  70. Van Garderen, D. (2006). Spatial visualization, visual ımagery, and mathematical problem solving of students with varying abilities. Journal of Learning Disabilities, 39(6), 496–506. [Google Scholar]
  71. Van Garderen, D. (2007). Teaching students with LD to use diagrams to solve mathematical word problems. Journal of Learning Disabilities, 40, 540–553. [Google Scholar]
  72. Whitby, P. J. S. (2012). The effects of Solve It! on the mathematical word problem solving ability of adolescents with autism spectrum disorders. Focus on Autism and Other Developmental Disabilities 28(2) 78-88. [Google Scholar]
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