Systematic Reviews and Meta Analysis

Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis

Volume: 9 Number: 4 July 1, 2022
Huan Chın , Cheng Meng Chew *, Menaga Suseelan
EN

Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis

Abstract

Mathematics learning is illustrated as a developmental progression in the direction of concrete-to-abstract by educational theorists. Various studies rooted in this notion were conducted in the past. This study aimed to profile the landscape of research rooted in this notion which was published from 1968 to 2021. The bibliographic data of 425 related publications were retrieved from the Scopus database for bibliometric analysis. Descriptive analysis and regression analysis were performed to profile the publication trend. Then, author bibliographic coupling analysis was carried out to identify the domains of research related to mathematics learning from concrete to abstract. The findings show an increasing trend of publication following the exponential model. The research was clustered into five research domains: (i) ‘manipulatives and arithmetic learning’; (ii) ‘mathematics learning of students with learning disabilities’; (iii) ‘Concrete-Representational-Abstract sequence in elementary mathematics teaching’; (iv) ‘Ideal mathematics teaching’; and (v) ‘mathematics problem-solving and mathematics learning of students with autism spectrum disorder’. The two emergent research domains in this research area are (i) ‘mathematics learning of students with learning disabilities’; and (ii) ‘mathematics problem-solving and mathematics learning of students with autism spectrum disorder’, which have the highest proportion of publications since 2015. The findings of this study can help researchers to understand the current landscape of research with the notion of mathematics learning from concrete to abstract, and hence propose pathways for future research.

Keywords

abstract, bibliometric analysis, concrete, mathematics learning, manipulative

Supporting Institution

Ministry of Higher Education Malaysia

Project Number

Fundamental Research Grant Scheme with Project Code: FRGS/1/2019/SS109/USM/02/13

Thanks

Acknowledgement to “Ministry of Higher Education for Fundamental Research Grant Scheme with Project Code: FRGS/1/2019/SS109/USM/02/13”.

References

  1. Abdoulaye, F. A. Y. E. (2021). Analysis on Lower Graders' Mathematics Textbooks in Senegal, Japan and Singapore, in Application of Spiral Structure of Its Contents and Concrete, Pictorial and Abstract (CPA) Approach. NUE Journal of International Educational Cooperation, 14, 101-111.
  2. Abejón, R., Pérez-Acebo, H., & Clavijo, L. (2018). Alternatives for chemical and biochemical lignin valorization: hot topics from a bibliometric analysis of the research published during the 2000–2016 period. Processes, 6(8), Article 98. https://doi.org/10.3390/pr6080098
  3. Bassette, L., Bouck, E., Shurr, J., Park, J., & Cremeans, M. (2019). Comparison of concrete and app-based manipulatives to teach subtraction skills to elementary students with autism. Education and Training in Autism and Developmental Disabilities, 54(4), 391-405.
  4. Bone, E. K., Bouck, E. C., & Smith III, J. P. (2021). Using the VA framework to teach algebra to middle school students with high-incidence disabilities. Journal of Special Education Technology, Advance online publication]. https://doi.org/10.1177/01626434211019388
  5. 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.
  6. Bouck, E. C., & Park, J. (2020). App-based manipulatives and the system of least prompts to support acquisition, maintenance, and generalization of adding integers. Education and Training in Autism and Developmental Disabilities, 55(2), 158-172.
  7. Bouck, E. C., & Sprick, J. (2019). The virtual-representational-abstract framework to support students with disabilities in mathematics. Intervention in School and Clinic, 54(3), 173-180.
  8. Bouck, E. C., Anderson, R. D., Long, H., & Sprick, J. (2021). Manipulative-based instructional sequences in mathematics for students with disabilities. TEACHING Exceptional Children. [Advance online publication]. https://doi.org/10.1177/0040059921994599
  9. Bouck, E. C., Bassette, L., Shurr, J., Park, J., Kerr, J., & Whorley, A. (2017a). Teaching equivalent fractions to secondary students with disabilities via the virtual–representational–abstract instructional sequence. Journal of Special Education Technology, 32(4), 220-231.
  10. Bouck, E. C., Chamberlain, C., & Park, J. (2017b). Concrete and app-based manipulatives to support students with disabilities with subtraction. Education and Training in autism and Developmental Disabilities, 52(3), 317-331.
APA
Chın, H., Chew, C. M., & Suseelan, M. (2022). Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis. Participatory Educational Research, 9(4), 445-468. https://doi.org/10.17275/per.22.99.9.4
AMA
1.Chın H, Chew CM, Suseelan M. Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis. PER. 2022;9(4):445-468. doi:10.17275/per.22.99.9.4
Chicago
Chın, Huan, Cheng Meng Chew, and Menaga Suseelan. 2022. “Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis”. Participatory Educational Research 9 (4): 445-68. https://doi.org/10.17275/per.22.99.9.4.
EndNote
Chın H, Chew CM, Suseelan M (July 1, 2022) Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis. Participatory Educational Research 9 4 445–468.
IEEE
[1]H. Chın, C. M. Chew, and M. Suseelan, “Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis”, PER, vol. 9, no. 4, pp. 445–468, July 2022, doi: 10.17275/per.22.99.9.4.
ISNAD
Chın, Huan - Chew, Cheng Meng - Suseelan, Menaga. “Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis”. Participatory Educational Research 9/4 (July 1, 2022): 445-468. https://doi.org/10.17275/per.22.99.9.4.
JAMA
1.Chın H, Chew CM, Suseelan M. Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis. PER. 2022;9:445–468.
MLA
Chın, Huan, et al. “Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis”. Participatory Educational Research, vol. 9, no. 4, July 2022, pp. 445-68, doi:10.17275/per.22.99.9.4.
Vancouver
1.Huan Chın, Cheng Meng Chew, Menaga Suseelan. Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis. PER. 2022 Jul. 1;9(4):445-68. doi:10.17275/per.22.99.9.4

Cited By