Research Article
BibTex RIS Cite

THE EFFECTIVENESS OF VIRTUAL MANIPULATIVES IN TEACHING MULTIPLICATION SKILLS TO STUDENTS WITH INTELLECTUAL DISABILITIES

Year 2025, Issue: 50, 134 - 162, 31.08.2025
https://doi.org/10.14520/adyusbd.1700771

Abstract

Mathematics is regarded as a fundamental discipline for enhancing both academic achievement and essential decision-making and problem-solving skills in daily life. For students with intellectual disabilities, acquiring mathematical concepts and skills is particularly important, as it contributes significantly to their independent functioning and overall quality of life. The purpose of this study is to examine the effectiveness of virtual manipulatives in teaching multiplication to students with intellectual disabilities. Three students, aged between 11 and 12 years—one male and two females—participated in the study. A multiple probe design across participants, one of the single-subject research designs, was employed. Data collected throughout the study were analyzed using visual analysis techniques. The findings indicate that virtual manipulatives were effective in helping students acquire multiplication skills. Furthermore, it was observed that the acquired skills could be generalized across different settings.

References

  • Bouck, E., Long, H., & Bae, Y. (2022). Exploring the virtual-representational-abstract instructional sequence across the learning stages for struggling students. Behavior Modification, 47(3), 590-614. https://doi.org/10.1177/01454455221129998
  • Bouck, E., Park, J., Shurr, J., Bassette, L., & Whorley, A. (2018). Using the virtual–representational–abstract approach to support students with intellectual disability in mathematics. Focus on Autism and Other Developmental Disabilities, 33(4), 237-248. https://doi.org/10.1177/1088357618755696
  • Bouck, E.C., & Sprick, J. (2019). The virtual-representational-abstract framework to support students with disabilities in mathematics. Intervention in School and Clinic, 1(8), 173-180.https://doi.org/1053451218767911
  • Göktaş, O., & Yazıcı, E. (2020). Effectiveness of teaching mathematical problem-solving strategies to students with mild intellectual disabilities. Turkish Journal of Computer and Mathematics Education (Turcomat), 11(2), 361-385. https://doi.org/10.16949/turkbilmat.662461
  • Hammons, N. C. (2019). The Effects of virtual-representational-abstract (VRA) intervention package on the acquisition of single-digit addition skills for students with autism spectrum disorder [Unpublished doctoral dissertation]. The Florida State University.
  • Hord, C. (2022). Middle and high school math teaching for students with mild intellectual disability. Support for Learning, 38(1), 4-16. https://doi.org/10.1111/1467-9604.12425
  • Jenifer, J., Jaxon, J., Levine, S., & Cimpian, A. (2023). “You need to be super smart to do well in math!” young children's field‐specific ability beliefs. Developmental Science, 27(1). https://doi.org/10.1111/desc.13429
  • Jimenez, B. A., & Besaw, J. (2020). Building early numeracy through virtual manipulatives for students with intellectual disability and autism. Education and Training in Autism and Developmental Disabilities, 55(1), 28-44. https://www.jstor.org/stable/26898712
  • Kay, R., & Knaack, L. (2007). Evaluating the use of learning objects for secondary school science. Journal of Computers in Mathematics and Science Teaching, 26(4), 261–289.
  • Long, H., Bouck, E., & Kelly, H. (2023). An evidence-based practice synthesis of virtual manipulatives for students with ASD and IDD. Focus on Autism and Other Developmental Disabilities, 38(3), 147-157. https://doi.org/10.1177/10883576221121654
  • Milli Eğitim Bakanlığı (2018). Özel Eğitim Hizmetleri Yönetmeliği. UptoDate. Retrieved June 10, 2025, from https://orgm.meb.gov.tr/meb_iys_dosyalar/2018_07/09101900_ozel_egitim_hizmetleri_yonetmeligi_07072018.pdf
  • Moyer-Packenham, P.S., Bolyard, J.J. (2016). Revisiting the Definition of a Virtual Manipulative. In Moyer-Packenham, P. (Eds) International perspectives on teaching and learning mathematics with virtual manipulatives (pp. 3-23).Mathematics Education in the Digital Era. Springer. https://doi.org/10.1007/978-3-319-32718-1_1
  • Moyer‐Packenham, P., & Westenskow, A. (2013). Effects of virtual manipulatives on student achievement and mathematics learning. International Journal of Virtual and Personal Learning Environments, 4(3), 35-50. https://doi.org/10.4018/jvple.2013070103
  • Moyer, P. S., Bolyard, J. J., & Spikell, M. A. (2002). What are virtual manipulatives? Teaching Children Mathematics, 8, 372–377.
  • Noviyanti, A. D., Tarsidi, I., Ginintasasi, R., & Mutaqin, R. S. (2020, February). The effectiveness of token economy in improving adaptive daily living for children with intellectual disability. In International Conference on Educational Psychology and Pedagogy-" Diversity in Education"(ICEPP 2019) (pp. 6-9). Atlantis Press. https://doi.org/10.2991/assehr.k.200130.068
  • Öztürk, M., Akkan, Y., Büyüksevindik, B., & Kaplan, A. (2016). Additional Operation Learning Process to the Mild Intellectual Disabilities Students by means of Virtual Manipulatives: A Multiple Case Study. Education and Science, 41(188). https://doi.org/10.15390/EB.2016.6582
  • Park, J., Bouck, E. C., & Smith, J. P. (2020). Using a virtual manipulative intervention package to support maintenance in teaching subtraction with regrouping to students with developmental disabilities. Journal of Autism and Developmental Disorders, 50, 63-75.
  • Parker, R. I., & Vannest, K. (2009). An improved effect size for single-case research: Nonoverlap of all pairs. Behavior therapy, 40(4), 357-367.https://doi.org/10.1016/j.beth.2008.10.006
  • Peltier, C., Morin, K., Bouck, E., Lingo, M., Pulos, J., Scheffler, F., … & Deardorff, M. (2019). A meta-analysis of single-case research using mathematics manipulatives with students at risk or identified with a disability. The Journal of Special Education, 54(1), 3-15. https://doi.org/10.1177/0022466919844516
  • Satsangi, R., & Miller, B. (2017). The case for adopting virtual manipulatives in mathematics education for students with disabilities. Preventing School Failure: Alternative Education for Children and Youth, 61(4), 303-310. https://doi.org/10.1080/1045988X.2016.1275505
  • Satsangi, R., Bouck, E., Taber‐Doughty, T., Bofferding, L., & Roberts, C. (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. https://doi.org/10.1177/0731948716649754
  • Savaşır, İ., & Şahin, N. (1995). Wechsler Intelligence Scale for Children (WISC-R) administration manual. Turkish Psychological Association.
  • Schalock, R. L., Luckasson, R., & Tassé, M. J. (2021). An overview of intellectual disability: Definition, diagnosis, classification, and systems of supports. American journal on intellectual and developmental disabilities, 126(6), 439-442. https://doi.org/10.1352/1944-7558-126.6.439
  • Shawky, A., Elbiblawy, E., & Maresch, G. (2021). Spatial ability differences between students with a math learning disability and their other normal colleagues. Journal of Humanities and Applied Social Sciences, 3(3), 182-198. https://doi.org/10.1108/jhass-01-2020-0016
  • Shin, M., Bryant, D., Bryant, B., McKenna, J., Hou, F., & Ok, M. (2016). Virtual manipulatives. Intervention in School and Clinic, 52(3), 148-153. https://doi.org/10.1177/1053451216644830
  • Shin, M., Park, J., Grimes, R., & Bryant, D. (2021). Effects of using virtual manipulatives for students with disabilities: three-level multilevel modeling for single-case data. Exceptional Children, 87(4), 418-437. https://doi.org/10.1177/00144029211007150
  • Tekin-İftar, E. (Ed.). (2012). Eğitim ve davranış bilimlerinde tek denekli araştırmalar. Türk Psikologlar Derneği Yayınları.
  • Terzioğlu, N. K. (2020). Zihinsel yetersizliği olan öğrencilere dört işlem becerilerinin öğretiminde sanal- yarı somut-soyut öğretim stratejisinin etkililiği [Yayımlanmamış doktora tezi], Bolu Abant İzzet Baysal Üniversitesi.
  • Thomas, J., Bicard, S., & Simmons, K. (2024). The effects of concrete and virtual manipulatives on solving algebraic equations in students with disabilities. Journal of Special Education Technology, 40(1), 104-116. https://doi.org/10.1177/01626434241263055
  • Vannest, K. J., Parker, R. I., Gonen, O., & Adiguzel, T. (2016). Single case research: Web- based calculator for SCR analysis (Version 2.0) [Web-based application]. Texas A&M University. singlecaseresearch.org

ZİHİNSEL YETERSİZLİĞİ OLAN ÖĞRENCİLERE ÇARPMA İŞLEMİ BECERİSİNİN ÖĞRETİMİNDE SANAL MANİPÜLATİFLERİN ETKİLİLİĞİ

Year 2025, Issue: 50, 134 - 162, 31.08.2025
https://doi.org/10.14520/adyusbd.1700771

Abstract

Matematik, bireylerin hem akademik başarılarını hem de günlük yaşamlarında etkili karar verme ve problem çözme becerilerini geliştirmeleri açısından temel bir disiplin olarak kabul edilmektedir. Zihinsel yetersizliği olan bireyler için matematiksel kavram ve becerilerin kazanılması, bağımsız yaşam becerilerini desteklemesi ve yaşam kalitesini artırması bakımından ayrı bir önem taşımaktadır. Bu araştırmanın amacı, zihinsel yetersizliği olan öğrencilere çarpma işlemi öğretiminde sanal manipülatiflerin etkililiğini incelemektir. Araştırmaya, yaşları 11 ile 12 arasında değişen biri erkek, ikisi kız olmak üzere üç öğrenci katılmıştır. Araştırmada, tek denekli araştırma desenlerinden katılımcılar arası çoklu yoklama modeli kullanılmıştır. Toplanan veriler görsel analiz yöntemiyle değerlendirilmiştir. Araştırma bulguları, sanal manipülatiflerle yapılan öğretimin öğrencilerin çarpma işlemi becerilerini kazanmalarında etkili olduğunu göstermektedir. Ayrıca, edinilen bu becerilerin farklı ortamlara genellenebildiği de gözlemlenmiştir.

References

  • Bouck, E., Long, H., & Bae, Y. (2022). Exploring the virtual-representational-abstract instructional sequence across the learning stages for struggling students. Behavior Modification, 47(3), 590-614. https://doi.org/10.1177/01454455221129998
  • Bouck, E., Park, J., Shurr, J., Bassette, L., & Whorley, A. (2018). Using the virtual–representational–abstract approach to support students with intellectual disability in mathematics. Focus on Autism and Other Developmental Disabilities, 33(4), 237-248. https://doi.org/10.1177/1088357618755696
  • Bouck, E.C., & Sprick, J. (2019). The virtual-representational-abstract framework to support students with disabilities in mathematics. Intervention in School and Clinic, 1(8), 173-180.https://doi.org/1053451218767911
  • Göktaş, O., & Yazıcı, E. (2020). Effectiveness of teaching mathematical problem-solving strategies to students with mild intellectual disabilities. Turkish Journal of Computer and Mathematics Education (Turcomat), 11(2), 361-385. https://doi.org/10.16949/turkbilmat.662461
  • Hammons, N. C. (2019). The Effects of virtual-representational-abstract (VRA) intervention package on the acquisition of single-digit addition skills for students with autism spectrum disorder [Unpublished doctoral dissertation]. The Florida State University.
  • Hord, C. (2022). Middle and high school math teaching for students with mild intellectual disability. Support for Learning, 38(1), 4-16. https://doi.org/10.1111/1467-9604.12425
  • Jenifer, J., Jaxon, J., Levine, S., & Cimpian, A. (2023). “You need to be super smart to do well in math!” young children's field‐specific ability beliefs. Developmental Science, 27(1). https://doi.org/10.1111/desc.13429
  • Jimenez, B. A., & Besaw, J. (2020). Building early numeracy through virtual manipulatives for students with intellectual disability and autism. Education and Training in Autism and Developmental Disabilities, 55(1), 28-44. https://www.jstor.org/stable/26898712
  • Kay, R., & Knaack, L. (2007). Evaluating the use of learning objects for secondary school science. Journal of Computers in Mathematics and Science Teaching, 26(4), 261–289.
  • Long, H., Bouck, E., & Kelly, H. (2023). An evidence-based practice synthesis of virtual manipulatives for students with ASD and IDD. Focus on Autism and Other Developmental Disabilities, 38(3), 147-157. https://doi.org/10.1177/10883576221121654
  • Milli Eğitim Bakanlığı (2018). Özel Eğitim Hizmetleri Yönetmeliği. UptoDate. Retrieved June 10, 2025, from https://orgm.meb.gov.tr/meb_iys_dosyalar/2018_07/09101900_ozel_egitim_hizmetleri_yonetmeligi_07072018.pdf
  • Moyer-Packenham, P.S., Bolyard, J.J. (2016). Revisiting the Definition of a Virtual Manipulative. In Moyer-Packenham, P. (Eds) International perspectives on teaching and learning mathematics with virtual manipulatives (pp. 3-23).Mathematics Education in the Digital Era. Springer. https://doi.org/10.1007/978-3-319-32718-1_1
  • Moyer‐Packenham, P., & Westenskow, A. (2013). Effects of virtual manipulatives on student achievement and mathematics learning. International Journal of Virtual and Personal Learning Environments, 4(3), 35-50. https://doi.org/10.4018/jvple.2013070103
  • Moyer, P. S., Bolyard, J. J., & Spikell, M. A. (2002). What are virtual manipulatives? Teaching Children Mathematics, 8, 372–377.
  • Noviyanti, A. D., Tarsidi, I., Ginintasasi, R., & Mutaqin, R. S. (2020, February). The effectiveness of token economy in improving adaptive daily living for children with intellectual disability. In International Conference on Educational Psychology and Pedagogy-" Diversity in Education"(ICEPP 2019) (pp. 6-9). Atlantis Press. https://doi.org/10.2991/assehr.k.200130.068
  • Öztürk, M., Akkan, Y., Büyüksevindik, B., & Kaplan, A. (2016). Additional Operation Learning Process to the Mild Intellectual Disabilities Students by means of Virtual Manipulatives: A Multiple Case Study. Education and Science, 41(188). https://doi.org/10.15390/EB.2016.6582
  • Park, J., Bouck, E. C., & Smith, J. P. (2020). Using a virtual manipulative intervention package to support maintenance in teaching subtraction with regrouping to students with developmental disabilities. Journal of Autism and Developmental Disorders, 50, 63-75.
  • Parker, R. I., & Vannest, K. (2009). An improved effect size for single-case research: Nonoverlap of all pairs. Behavior therapy, 40(4), 357-367.https://doi.org/10.1016/j.beth.2008.10.006
  • Peltier, C., Morin, K., Bouck, E., Lingo, M., Pulos, J., Scheffler, F., … & Deardorff, M. (2019). A meta-analysis of single-case research using mathematics manipulatives with students at risk or identified with a disability. The Journal of Special Education, 54(1), 3-15. https://doi.org/10.1177/0022466919844516
  • Satsangi, R., & Miller, B. (2017). The case for adopting virtual manipulatives in mathematics education for students with disabilities. Preventing School Failure: Alternative Education for Children and Youth, 61(4), 303-310. https://doi.org/10.1080/1045988X.2016.1275505
  • Satsangi, R., Bouck, E., Taber‐Doughty, T., Bofferding, L., & Roberts, C. (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. https://doi.org/10.1177/0731948716649754
  • Savaşır, İ., & Şahin, N. (1995). Wechsler Intelligence Scale for Children (WISC-R) administration manual. Turkish Psychological Association.
  • Schalock, R. L., Luckasson, R., & Tassé, M. J. (2021). An overview of intellectual disability: Definition, diagnosis, classification, and systems of supports. American journal on intellectual and developmental disabilities, 126(6), 439-442. https://doi.org/10.1352/1944-7558-126.6.439
  • Shawky, A., Elbiblawy, E., & Maresch, G. (2021). Spatial ability differences between students with a math learning disability and their other normal colleagues. Journal of Humanities and Applied Social Sciences, 3(3), 182-198. https://doi.org/10.1108/jhass-01-2020-0016
  • Shin, M., Bryant, D., Bryant, B., McKenna, J., Hou, F., & Ok, M. (2016). Virtual manipulatives. Intervention in School and Clinic, 52(3), 148-153. https://doi.org/10.1177/1053451216644830
  • Shin, M., Park, J., Grimes, R., & Bryant, D. (2021). Effects of using virtual manipulatives for students with disabilities: three-level multilevel modeling for single-case data. Exceptional Children, 87(4), 418-437. https://doi.org/10.1177/00144029211007150
  • Tekin-İftar, E. (Ed.). (2012). Eğitim ve davranış bilimlerinde tek denekli araştırmalar. Türk Psikologlar Derneği Yayınları.
  • Terzioğlu, N. K. (2020). Zihinsel yetersizliği olan öğrencilere dört işlem becerilerinin öğretiminde sanal- yarı somut-soyut öğretim stratejisinin etkililiği [Yayımlanmamış doktora tezi], Bolu Abant İzzet Baysal Üniversitesi.
  • Thomas, J., Bicard, S., & Simmons, K. (2024). The effects of concrete and virtual manipulatives on solving algebraic equations in students with disabilities. Journal of Special Education Technology, 40(1), 104-116. https://doi.org/10.1177/01626434241263055
  • Vannest, K. J., Parker, R. I., Gonen, O., & Adiguzel, T. (2016). Single case research: Web- based calculator for SCR analysis (Version 2.0) [Web-based application]. Texas A&M University. singlecaseresearch.org
There are 30 citations in total.

Details

Primary Language Turkish
Subjects Specialist Studies in Education (Other)
Journal Section Articles
Authors

Nesime Kübra Terzioğlu 0000-0002-2041-5049

Publication Date August 31, 2025
Submission Date May 16, 2025
Acceptance Date August 28, 2025
Published in Issue Year 2025 Issue: 50

Cite

APA Terzioğlu, N. K. (2025). ZİHİNSEL YETERSİZLİĞİ OLAN ÖĞRENCİLERE ÇARPMA İŞLEMİ BECERİSİNİN ÖĞRETİMİNDE SANAL MANİPÜLATİFLERİN ETKİLİLİĞİ. Adıyaman Üniversitesi Sosyal Bilimler Enstitüsü Dergisi(50), 134-162. https://doi.org/10.14520/adyusbd.1700771