The Effect of Concrete and Virtual Manipulative Blended Instruction on Mathematical Achievement for Elementary School Students

Acemoglu, D., Johnson, S., & Robinson, J. A. (2001). The colonial origins of comparative development: An empirical investigation. American Economic Review, 91(5), 1369-1401. https://web.mit.edu/daron/www/colonial8comp.pdf

Article  Google Scholar 

Andrabi, T., Jishnu, D., Asim, I., Khwaja, Vishwanathan, T., & Zajonc, T. (2008). Learning and educational achievements in Punjab schools (LEAPS): Insights to inform the education policy debate. Harvard University. Retrieved June 10, 2024, from https://static1.squarespace.com/static/618f98a44478fc2e7b844cb4/t/6203c90517f63c6853836acc/1644415240287/LEAPS_report_report.pdf

ASER Pakistan. (2024). Annual status of education report (ASER) Pakistan, National (Rural). Retrieved June 10, 2024, from https://aserpakistan.org/document/2024/aser_national_2023.pdf

Asian Development Bank (ADB) (2023). ADB brief no. 283: Strengthening school teaching in Pakistan. Manila. Retrieved June 15, 2024, from https://www.adb.org/sites/default/files/publication/935721/adb-brief-283-strengthening-school-teaching-pakistan.pdf

Back, J. (2019). Manipulative in the primary classroom. NRICH, 3, 1–8. https://nrich.maths.org/content/id/10461/Manipulatives%20in%20the%20Primary%20Classroom.pdf

Bhutta, S. M., & Rizvi, N. F. (2022). Assessing teachers’ pedagogical practices and students’ learning outcomes in science and mathematics across primary and secondary school level: A nationwide study (2018–21). Aga Khan University, Institute for Educational Development, Karachi, Pakistan, 1–4. Retrieved June 10, 2024, from https://ecommons.aku.edu/pakistan_ied_pdck/317

Boggan, M., Harper, S., & Whitmire, A. (2010). Using manipulatives to teach elementary mathematics. Journal of Instructional Pedagogies, 3(1), 1-6. https://files.eric.ed.gov/fulltext/EJ1096945.pdf

Google Scholar 

Bornaa, C. S., Okwan, B., & Iddrisu, A. B. (2023). Cooperative learning with manipulatives and students’ performance in mathematics problem solving. International Journal of Current Science (IJCSPUB), 13(1), 978-995. https://doi.org/10.7176/JEP/14-19-01

Article  Google Scholar 

Bouck, E. C., & Flanagan, S. M. (2010). Virtual manipulatives: What are they and how teachers can use them? Intervention in School and Clinic, 45(3), 186–191. https://doi.org/10.1177/1053451209349530

Article  Google Scholar 

Bouck, E. C., & Park, J. (2018). A systematic review of the literature on mathematics manipulatives to support students with disabilities. Education and Treatment of Children, 41(1), 65–106. https://www.jstor.org/stable/26535256

Article  Google Scholar 

Bouck, E. C., Chamberlain, C., & Park, J. (2017). Concrete and app-based manipulatives to support students with disabilities with subtraction. Education and Training in Autism and Developmental Disabilities, 52, 317–331. https://doi.org/10.1037/t15174-000

Article  Google Scholar 

Bouck, E. C., Satsangi, R., & Park, J. (2018). The concrete–representational–abstract approach for students with learning disabilities: An evidence-based practice synthesis. Remedial and Special Education, 39, 211–228. https://doi.org/10.1177/0741932517721712

Article  Google Scholar 

Bouck, E. C., Christopher, W., & Bone, E. (2018). Manipulative apps to support students with disabilities in mathematics. Intervention in School and Clinic, 53(3), 177-182. https://doi.org/10.1177/1053451217702115

Article  Google Scholar 

Bouck, E. C., Park, J., Satsangi, R., Cwiakala, K., & Levy, K. (2019). Using the virtual-abstract instructional sequence to support acquisition of algebra. Journal of Special Education Technology, 34(4), 253–268. https://doi.org/10.1177/0162643419833022

Article  Google Scholar 

Bouck, E. C., Park, J., & Stenzel, K. (2020). Virtual manipulatives as assistive technology to support students with disabilities with mathematics. Preventing School Failure: Alternative Education for Children and Youth, 64(4), 281-289. https://doi.org/10.1080/1045988X.2020.1762157

Article  Google Scholar 

Carbonneau, K. J., Marley, S. C., & Selig, J. P. (2013). A meta-analysis of the efficacy of teaching mathematics with concrete manipulatives. Journal of Educational Psychology, 105(2), 380–400. https://doi.org/10.1037/a0031084

Article  Google Scholar 

Carpenter, T. P., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B. (2014). Children’s mathematics: Cognitively guided instruction. Heinemann. Retrieved January 02, 2023, from https://eric.ed.gov/?id=ED465555

Chini, J. J., Madsen, A., Gire, E., Rebello, N. S., & Puntambekar, S. (2012). Exploration of factors that affect the comparative effectiveness of physical and virtual manipulatives in an undergraduate laboratory. Physical Review Special Topics-Physics Education Research, 8(1), 1-12. http://hdl.handle.net/2097/13841

Article  Google Scholar 

Cohen, L., Manion, L., & Morrison, K. (2017). Research methods in education. London: Routledge. https://doi.org/10.4324/9781315456539

Book  Google Scholar 

Deliyianni, E., Michael, E., & Pitta-Pantazi, D. (2006). The effect of different teaching tools in overcoming the impact of the intuitive rules. In J. Novotná, H. Moraová, M. Kratka, & N. Stehlíková (Eds.), Proceedings 30th Conference of the International Group for the Psychology of Mathematics Education, 2, 409–416. Prague, Czech Republic: PME. Retrieved January 7, 2023, from https://files.eric.ed.gov/fulltext/ED496932.pdf

Gülkılık, H. (2013). The role of representations in mathematical understanding: Virtual and physical manipulatives (Doctoraldissertation, Gazi University, Ankara, Turkey). Retrieved January 23, 2023, from https://9lib.net/document/nq770vq6-matematiksel-anlamada-temsillerin-rolue-sanal-ve-fiziksel-manipuelatifler.html

Haji Ismail, N. F., Shahrill, M., & Asamoah, D. (2023). Learning through virtual manipulatives: Investigating the impact of Gizmos-based lessons on students’ performance in integers. Contemporary Mathematics and Science Education, 4(1), 2-12. https://doi.org/10.30935/conmaths/12857

Article  Google Scholar 

Hawes, Z. C. K., Gilligan-Lee, K. A., & Mix, K. S. (2022). Effects of spatial training on mathematics performance: A meta-analysis. Developmental Psychology, 58(1), 112–137. https://doi.org/10.1037/dev0001281

Article  Google Scholar 

Hidayah, I., Isnarto, Masrukan, Asikin, M., & Margunani. (2021). Quality management of mathematics manipulative products to support students’ higher order thinking Skills. International Journal of Instruction, 14(1), 537–554. https://files.eric.ed.gov/fulltext/EJ1282131.pdf

Horan, E., & Carr, M. (2018). How much guidance do students need? An intervention study on kindergarten mathematics with manipulatives. International Journal of Educational Psychology, 7(3), 286–316. https://files.eric.ed.gov/fulltext/EJ1195245.pdf

Article  Google Scholar 

Huan, C., Meng, C. C., & Suseelan, M. (2022). Mathematics learning from concrete to abstract (1968-2021): A bibliometric analysis. Participatory Educational Research (PER), 9(4), 445-468. https://doi.org/10.17275/per.22.99.9.4

Article  Google Scholar 

Jaakkola, T., & Nurmi, S. (2008). Fostering elementary school students’ understanding of simple electricity bycombining simulation and laboratory activities. Journal of Computer Assisted Learning, 24(4), 271–283. https://doi.org/10.1111/j.1365-2729.2007.00259.x

Article  Google Scholar 

Jaakkola, T., Nurmi, S., & Veermans, K. (2011). A comparison of students’ conceptual understanding of electric circuits in simulation only and simulation-laboratory contexts. Journal of Research in Science Teaching, 48(1), 71–93. https://doi.org/10.1002/tea.20386

Article  Google Scholar 

Kabel, M., Hwang, J., & Hwang, J. (2021). Lessons learned from a rural classroom study: Transitioning from concrete to virtual manipulatives to teach math fact fluency to students with learning disabilities. Journal of Curriculum Studies Research, 3(1), 42-68. https://doi.org/10.46303/jcsr.2021.7

Article  Google Scholar 

Kamii, C., Lewis, B. A., & Kirkland, L. (2001). Manipulatives: When are they useful? The Journal of Mathematical Behavior, 20(1), 21–31. https://doi.org/10.1016/S0732-3123(01)00059-1

Article  Google Scholar 

Kumar, S. (2017). Use of mathematics in daily life. Worldwide Journal of Multidisciplinary Research and Development, 3(9), 346-347. https://wwjmrd.com/upload/-use-of-mathematics-in-daily-life.pdf

Google Scholar 

Lafay, A., Osana, H. P., Valat, M. (2019). Effects of interventions with manipulatives on immediate learning, maintenance, and transfer in children with mathematics learning disabilities: A systematic review. Education Research International, 2019, 2142948, 21 pages. https://doi.org/10.1155/2019/2142948

Larbi, E., & Mavis, O. (2016). The use of manipulatives in mathematics education. Journal of Education and Practice, 36(7), 53-61. https://files.eric.ed.gov/fulltext/EJ1126428.pdf

Google Scholar 

Lee, C. Y., & Chen, M. J. (2015). Effects of worked examples using manipulatives on fifth graders' learning performance and attitude toward mathematics. Journal of Educational Technology & Society, 18(1), 264–275. http://www.jstor.org/stable/jeductechsoci.18.1.264

Google Scholar 

Liu, D., Lory, C., Lei, Q., Cai, W., Mao, Y., & Yang, X. (2023). Using explicit instruction and virtual manipulatives to teach measurement concepts for students with autism spectrum disorder. The Journal of Special Education, 58(1), 3–13. https://doi.org/10.1177/00224669231171558

Article  Google Scholar 

Long, H. M., Bouck, E. C., & Kelly, H. (2022). 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

Article  Google Scholar 

Makhdum, F. N., Sandhu, H. R., Batool, T., Khan, S., Faisal, F., & Younas, A. (2023). Effect of using symbolab calculator in teaching simultaneous equations on students’ conceptual understanding at the elementary level in Pakistan: Mathematics attitude in technological corners. Journal of Positive School Psychology, 7(1), 117–124. https://mail.journalppw.com/index.php/jpsp/article/view/15022/9739

Google Scholar 

Milton, J. H., Flores, M. M., Hinton, V. M., Dunn, C., & Darch, C. B. (2023). Using the concrete-representational-abstract sequence to teach conceptual understanding of place value, rounding, and expanded notation. Learning Disabilities Research & Practice, 38(1), 15-25. https://doi.org/10.1111/ldrp.12299

Article  Google Scholar 

Moyer-Packenham, P. S., & Bolyard, J. J. (2016). Revisiting the definition of a virtual manipulative. In P. S. Moyer-Packenham (Ed.), International perspectives on teaching and learning mathematics with virtual manipulatives. Mathematics Education in the Digital Era, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-32718-1_1

National Curriculum Council – Pakistan (2020). Single national curriculum mathematics grade I-V 2020: One nation, one curriculum. Ministry of Federal Education and Professional Training, Islamabad. Government of Pakistan. Retrieved June 18, 2024, from https://mofept.gov.pk/SiteImage/Misc/files/SNC%20Mathematics%201-5.pdf

Osana, H. P., Adrien, E., & Duponsel, N. (2017). Effects of instructional guidance and sequencing of manipulatives and written symbols on second graders’ numeration knowledge. Education Sciences, 7(2), 52–74. https://pdfs.semanticscholar.org/d246/c3fa1b8df612d997c978c14c0c3913800de5.pdf

Article  Google Scholar 

Pallant, J. (2020). SPSS survival manual: A step by step guide to data analysis using SPSS. Maidenhead: Open University Press/McGraw-Hill. https://doi.org/10.4324/9781003117452

Book  Google Scholar 

Panday, B. D. (2017). A study of mathematical achievement of secondary school students. International Journal of Advanced Research, 5(12), 1951-1954. https://doi.org/10.21474/IJAR01/6165

Article  Google Scholar 

Provincial Assessment of Students Learning (PASL) (2020). PASL report 2018–19/PEC. UNICEF publisher. Retrieved June 14, 2024, from https://pec.edu.pk/system/files/PASL%20Report%20PEC_compressed.pdf#overlay-context=publications

Peltier, C., Morin, K. L., Bouck, E. C., Lingo, M. E., Pulos, J. M., Scheffler, F. A., Suk, A., Mathews, L. A., Sinclair, T. E., & Deardorff, M. E. (2020). 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

Article  Google Scholar 

Rashid, M., & Singh, C. (2021). Analyzing mathematical achievement among students. International Journal of Statistics and Applied Mathematics, 6(4), 127-130. https://www.mathsjournal.com/pdf/2021/vol6issue4/PartB/6-4-27-674.pdf

Google Scholar 

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