Effect of Abacus Training on Numerical Ability of Students with Hearing Loss

Atul Kaluram Jadhav, Varsha Shrikant Gathoo


Purpose: The study focussed on the effect of Abacus training on numerical ability (comprising of counting and mathematical operations) of children with hearing loss.

Method: 90 students with hearing loss were sampled from 6 special schools in Mumbai, India. A quasi- experimental study was employed using two group pre-test and post-test design. Data were collected using the Numerical Ability Test (NAT) as an instrument. Six null hypotheses based on the objectives were formulated and tested at 0.05 level of significance using t-Test - Assuming Equal Variances.

Results: The findings revealed that the experimental group which was instructed through Abacus showed higher proficiency in numerical ability as compared to the control group instructed through the conventional method. Gender as a variable seems to influence the mean achievement of numerical ability of students with hearing loss. While girls and boys did not differ in simple tasks such as counting, boys were found to be better in mathematical operations and overall numerical ability.

Conclusions: The Abacus teaching method results in higher mathematical achievements among students with hearing loss. Gender also plays an important role in mathematical learning, as evidenced by boys demonstrating more numerical ability than girls in the study sample.


Abacus; numerical ability; counting ability; mathematical operations; students with hearing loss

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Adeyemi OB, Adaramola MO (2014). Mathematics literacy as a foundation for technological development in Nigeria. Journal of Research & Method in Education; 4(5): 28-31. [Accessed on 16 Sep 2017]. Available from: http://www.iosrjournals.org/iosr-jrme/papers/Vol-4%20Issue-5/Version-6/E04562831.pdf

Akinsola MK, Odeyemi EO (2014). Effects of mnemonic and prior knowledge instructional strategies on students' achievement in Mathematic. International Journal of Education and Research; 2(7): 675-688. [Accessed on 15 Sep 2017]. Available from: http://www.ijern.com/journal/July-2014/54.pdf.

Arigbabu AA, Mji A (2004). Brief report: is gender a factor in mathematics performance among Nigerian preservice teachers? Sex Roles; 51(11-12): 749-753. [Accessed on 10 Sep 2017]. Available from: https://link.springer.com/article/10.1007/s11199-004-0724-z


Bassey SW, Joshua MT, Asim AE (2004). Gender difference and mathematics achievement of rural and senior secondary school students in cross River state, Nigeria. Proceedings of epi STEMES; 56-60. [Accessed on 17 Sep 2017]. Available from: http://web.gnowledge.org/episteme3/pro_pdfs/09-bassy-joshua-asim.pdf

Beal CR, Shaw E (2009). An online math problem solving system for middle school students who are blind. MERLOT Journal of Online Learning and Teaching; 5(4): 630-638. [Accessed on 15 Sep 2017]. Available from: http://awvis.arizona.edu/sites/awvis/files/bealshaw2009.pdf

Bull R, Marschark M, Sapere P, Davidson WA, Murphy D, Nordmann E (2011). Numerical estimation in deaf and hearing adults. Learning and Individual Differences; 21(4): 453–457. [Accessed on 20 Sep 2017]. https://doi.org/10.1016/j.lindif.2011.02.001

Cope L (2015). Math manipulatives: Making the abstract tangible. Delta Journal of Education; 5 (1): 10-19. [Accessed on 22 Sep 2017]. Available from: http://www.deltastate.edu/PDFFiles/DJE/spring-2015/dje_spring_2015_cope-final.pdf

Edwards A, Edwards L, Langdon D (2013). The mathematical abilities of children with cochlear implants. Child Neuropsychology; 19(2): 127-142. [Accessed on 25 Sep 2017]. Available from: http://www.deltastate.edu/PDFFiles/DJE/spring-2015/dje_spring_2015_cope-final.pdf. https://doi.org/10.1080/09297049.2011.639958

Foong PY (1998). Learning abacus: What cognitive processes do pupils use? National Institute of Education (Singapore); 2: 24-29. [Accessed on 20 Sep 2017]. Available from: https://repository.nie.edu.sg/bitstream/10497/3796/1/REACT-1998-2-24.pdf

Freeman N (2014). Does the Japanese Abacus improve underachieving children's performance in mathematics? The British Society for Research into Learning Mathematics; 34(3): 13-18. [Accessed on 16 Sep 2017]. Available from: http://www.bsrlm.org.uk/wp-content/uploads/2016/02/BSRLM-IP-34-3-03.pdf

Fridriksson T, Stewart DA (1988). From the concrete to the abstract: Mathematics for deaf children. American Annals of the Deaf; 133(1): 51-55. [Accessed on 17 Sep 2017]. https://doi.org/10.1353/aad.2012.0631

Hatano G, Osawa K (1983). Digit memory of grand experts in Abacus-derived mental calculation. Cognition; 15(1-3): 95-110. [Accessed on 18 Sep 2017]. Available from: http://citeseerx.ist.psu.edu/viewdoc/download?doi= https://doi.org/10.1016/0010-0277(83)90035-5

Hyde M, Zevenbergen R, Power DJ (2003). Deaf and hard of hearing students' performance on arithmetic word problems. American Annals of the Deaf; 148(1): 56-64. [Accessed on 28 Sep 2017]. Available from: http://caidmathsig.wiki.educ.msu.edu/file/view/Deaf+Students+Performance+on+Arithmetic+Word+Problems.pdf https://doi.org/10.1353/aad.2003.0003

Irwing P, Hamza A, Khaleefa O, Lynn R (2008). Effects of Abacus training on the intelligence of Sudanese children. Personality and Individual Differences; 45(7): 694-696. [Accessed on 13 Sep 2017]. https://doi.org/10.1016/j.paid.2008.06.011

Jadhav AK, Gathoo VS (2017). Awareness about Abacus among teachers from special and regular schools. Educreator Research Journal, A Multidisciplinary International Quarterly Peer Reviewed; 4(3): 203-213.

Kelly RR, Mousley K (2001). Solving word problems: More than reading issues for deaf students. American Annals of the Deaf; 146(3): 253–264. [Accessed on 15 Sep 2017]. Available from: http://cimm.ucr.ac.cr/resoluciondeproblemas/PDFs/Ronald,K.%20%20Mousley,%20K..pdf. https://doi.org/10.1353/aad.2012.0088

Khire U, Gadre S, Nirgudkar S, Gadre R, Watve S (2013). JPIP test of numerical ability. JnanaPrabodhini's Institute of Psychology. Pune.

Kolawole EB (2007).Gender issues and academic performance of senior secondary school students in mathematics computation tasks in Ekiti state, Nigeria. Pakistan Journal of Social Sciences; 4: 701-704. [Accessed on 22 Sep 2017]. Available from: http://docsdrive.com/pdfs/medwelljournals/pjssci/2007/701-704.pdf

Kritzer KL (2008). Family mediation of mathematically based concepts while engaged in a problem-solving activity with their young deaf children. Journal of Deaf Studies and Deaf Education; 13(4): 503-517. [Accessed on 24 Sep 2017]. https://doi.org/10.1093/deafed/enn007

Louie J, Brodesky A, Brett J, Yang L-M, Tan Y (2008). Math education practices for students with disabilities and other struggling learners: Case studies of six schools in two northeast and islands region states (Issues and answers report, rel 2008-no. 053).Washington, dc: u.s. department of education, institute of education sciences, national centre for education evaluation and regional assistance, regional educational laboratory northeast and islands. [Accessed on 16 Sep 2017]. Available from: https://ies.ed.gov/ncee/edlabs/regions/northeast/pdf/REL_2008053_sum.pdf

Maitland KA, Goldman JR (1974). Moral judgment as a function of peer group interaction. Journal of Personality and Social Psychology; 30(5): 699-704. [Accessed on 19 Sep 2017]. https://doi.org/10.1037/h0037454

Marschark M, Hauser P (2008). Deaf cognition: foundations and outcomes. New York: Oxford University Press, Inc. [Accessed on 20 Sep 2017]. Available from: http://hrcahvaz.ajums.ac.ir/_hrcahvaz/documents/book/23-%20Deaf%20Cognition.pdf


Matías-Guiu JA, Pérez-Martínez DA, Matías-Guiu J (2016). A pilot study of a new method of cognitive stimulation using Abacus arithmetic in healthy and cognitively impaired elderly subjects. Neurología (English Edition); 31(5): 326-331. [Accessed on 23 Sep 2017]. Available from: https://www.sciencedirect.com/science/article/pii/S021348531500033X?via%3Dihub. https://doi.org/10.1016/j.nrl.2015.02.002

Moore S (2014). Why teach mathematics with manipulatives? ETA hand2mind. [Accessed on 23 Sep 2017]. Available from: http://www.hand2mind.com/pdf/research/Why_Teach_Math_with_Manips.pdf

Nair PG, Ramaa S (2015). Analysis of errors made by children with hearing impairment. International Journal of Science and Research (IJSR); 4(3): 201-208. [Accessed on 17 Sep 2017]. Available from: https://www.ijsr.net/archive/v4i3/SUB151889.pdf

National Council of Supervisors of Mathematics (2013). Improving student achievement in mathematics by using manipulatives with classroom instruction. Denver, CO: Author.

National Council of Teachers of Mathematics - NCTM (2004). Teaching mathematics to special needs students. Teaching Children Mathematics. [Accessed on 17 Sep 2017]. Available from: http://www.cusdmathcoach.com/math_and_special_needs_students.pdf

National Council of Teachers of Mathematics – NCTM (2013). Mathematics in early childhood learning - NCTM position. [Accessed on 17 Sep 2017]. Available from: https://www.nctm.org/uploadedFiles/Standards_and_Positions/Position_Statements/Early%20Childhood%20Mathematics%20(2013).pdf

Nunes T, Moreno C (2002). An intervention programme for promoting deaf pupils achievement in mathematics. Journal of Deaf Studies and Deaf Education; 7(2): 120-133. [Accessed on 16 Sep 2017]. Available from: http://www.education.ox.ac.uk/ndcs/papers/nunesandmoreno2002.pdf


Pagliaro CM (1998). Mathematics preparation and professional development of deaf education teachers. American Annals of the Deaf; 143(5): 373-379. [Accessed on 17 Sep 2017]. Available from: https://www.academia.edu/6031188/Mathematics_Preparation_and_Professional_Development_of_Deaf_Education_Teachers https://doi.org/10.1353/aad.2012.0137

Pagliaro CM, Kritzer KL (2012). The math gap: A description of the mathematics performance of preschool-aged deaf/hard-of-hearing children. Journal of Deaf Studies and Deaf Education; 18(2): 139-160. [Accessed on 14 Sep 2017]. https://doi.org/10.1093/deafed/ens070

Pau CS (1995). The deaf child and solving problems of arithmetic: The importance of comprehensive reading, American Annals of the Deaf; 140(3): 287-290. [Accessed on 16 Sep 2017]. Available from: https://muse.jhu.edu/article/385557/pdf https://doi.org/10.1353/aad.2012.0599

Puebla (2015). Mathematics: The music of the reason, music: Mathematics of the sense. [Accessed on 13 Sep 2017]. Available from: https://imsc.uni-graz.at/fripertinger/koll/Graz2015artic.pdf

Research and Development Institute, Inc. (2006). Calculation tools and aids - The Abacus. [Accessed on 14 Sep 2017]. Available from: http://www.tsbvi.edu/mathproject/ch5-sec3.asp

Shen H (2006). Teaching mental Abacus calculation to students with mental retardation. The Journal of the International Association of Special Education; 7(1): 56-66. [Accessed on 18 Sep 2017]. Available from: http://www.iase.org/JIASE%202006.pdf

Stewart DA, Kluwin TN (2001). Teaching deaf and hard of hearing students: Content, strategies, and curriculum. Boston, MA: Allyn & Bacon. [Accessed on 14 Sep 2017]. Available from: https://www.pearson.com/us/higher-education/program/Stewart-Teaching-Deaf-and-Hard-of-Hearing-Students-Content-Strategies-and-Curriculum/PGM62238.html

Stigler JW, Chalip L, Miller KF (1986). Consequences of skill: The case of Abacus training in Taiwan. American Journal of Education; 94(4): 447-479. [Accessed on 13 Sep 2017]. Available from: http://ucmasaustralia.com.au/wp-content/uploads/2014/06/stigler-1986.pdf https://doi.org/10.1086/443862

Tanaka S, Seki K, Hanakawa T, Harada M, Sugawara SK, Sadato N, Watanabe K, Honda M (2012). Abacus in the brain: A longitudinal functional MRI study of a skilled Abacus user with a right hemispheric lesion. Front. Psychology; 3(315): 1 -13. [Accessed on 22 Sep 2017]. Available from: https://doi.org/10.3389/fpsyg.2012.00315


Tanridiler A, Uzuner Y, Girgin U (2015). Teaching and learning mathematics with hearing impaired students. Anthropologist; 22(2): 237-248. [Accessed on 16 Sep 2017]. https://doi.org/10.1080/09720073.2015.11891874

Traxler CB (2000). The Stanford achievement test, 9th edition: national norming and performance standards for deaf and hard-of-hearing students. Search Results Journal of Deaf Studies and Deaf Education; 5(4): 337-348. [Accessed on 22 Sep 2017]. https://doi.org/10.1093/deafed/5.4.337

Vani R (2014). Gender discrimination in Indian academics - A critical review. International Journal of Management and Social Science Research Review; 1(4): 147-153. [Accessed on 16 Sep 2017]. Available from: http://ijmsrr.com/downloads/31102014IJMSRR%2021.pdf

Vita AC, Kataoka VY (2014). Blind students' learning of probability through the use of a tactile model. Statistics Education Research Journal; 13(2): 148-163. [Accessed on 17 Sep 2017]. Available from: https://iase-web.org/documents/SERJ/SERJ13(2)_Vita.pdf

Wanjiru MM, Munyi CW, Murugami M (2014). Pedagogical challenges facing mathematics teachers of learners with visual impairment at Thika primary school for the blind, Kiambu county (Unpublished master's thesis). Kenyatta University. [Accessed on 17 Sep 2017]. Available from: http://ir-library.ku.ac.ke/bitstream/handle/123456789/11179/Pedagogical%20challenges%20facing%20mathematics%20teachers%20of%20learners%20with%20visual%20impairment......pdf;sequence=1

Wood DJ, Wood HA, Howarth SP (1983). Mathematical abilities of deaf school-leavers. British Journal of Developmental Psychology; 1: 67-73. [Accessed on 13 Sep 2017]. https://doi.org/10.1111/j.2044-835X.1983.tb00544.x

Zarfaty Y, Nunes T, Bryant P (2004). The performance of young deaf children in spatial and temporal number tasks. Journal of Deaf Studies and Deaf Education; 9(3): 315-326. [Accessed on 16 Sep 2017]. Available from: https://pdfs.semanticscholar.org/fccc/44a14bf9197d032f27c570e85bb5c0aed24b.pdf https://doi.org/10.1093/deafed/enh034

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