American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: Editor-in-chief: Ratko Pavlović
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American Journal of Educational Research. 2019, 7(2), 153-160
DOI: 10.12691/education-7-2-6
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Enhancing Metacognitive Knowledge of Cognition among Junior Secondary Students with Mathematics Disability in Everyday Arithmetic

Nduka Wonu1, and Orolobo Paul-Worika1

1Department of Mathematics/Statistics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria

Pub. Date: February 15, 2019

Cite this paper:
Nduka Wonu and Orolobo Paul-Worika. Enhancing Metacognitive Knowledge of Cognition among Junior Secondary Students with Mathematics Disability in Everyday Arithmetic. American Journal of Educational Research. 2019; 7(2):153-160. doi: 10.12691/education-7-2-6


This study investigated the efficacy of metacognitive instructional strategy in the improvement of the knowledge of cognition among junior secondary students with Mathematics Disability (MD) in everyday arithmetic in Port Harcourt Local Government Area (LGA) of Rivers State, Nigeria. Pre-test, post-test quasi-experimental design was used. A total of 60 Junior Secondary Class 3 (JSC3) students with MD participated in the study. A diagnostic instrument, teacher judgment, and the internal examination results were used as criteria for the identification and selection of JSC3 students with MD for participation. Three instruments were used for data collection, viz: Everyday Arithmetic Problem-Solving Achievement Test (EAPSAT), Mathematics Disability Diagnostic Test (M2DT), and Metacognitive Strategy Assessment (MSA). The instruments were respectively used to measure everyday arithmetic achievement, diagnosis and metacognitive knowledge of cognition. The Cronbach alpha was used to determine the reliability of each section of MSA (declarative knowledge, =0.81, conditional knowledge, =0.84, procedural knowledge =0.78). The test-retest method was used to determine the reliability of EAPSAT and M2DT to obtain indices of 0.83 and 0.80 respectively. The research questions were answered using mean and standard deviation whereas the hypotheses were tested using Analysis of Covariance (ANCOVA). The findings among others established that the metacognitive knowledge of students improved over time; there were significant main effects of metacognitive strategy on student procedural, declarative and conditional knowledge respectively. A recommendation of the study is that teachers should adopt the metacognitive strategy while teaching everyday arithmetic.

metacognition strategy everyday arithmetic mathematics disability

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[1]  Butterworth B: The development of Arithmetical abilities, Journal of Child Psychology and Psychiatry 46(1), 3-18 (2005)
[2]  Flavell, J. H: Metacognitive aspects of problem solving. In L. Resnick (Ed.), The nature of intelligence. Hillsdale, NJ: Lawrence Erlbaum (1976).
[3]  Brown, A: Metacognition, Executive Control, Self-Regulation and Other More Mysterious Mechanisms. In: Weinert, F.E. & Kluwe, R.H., Eds., Metacognition, Motivation and Understanding, Hillsdale, 65-116. (1987).
[4]  Baker, L., Cerro, L.C: Assessing metacognition in children and adults. In: Schraw G, Impara J, editors. Issues in the measurement of metacognition. Lincoln, NE: Buros; 99-145. (2000).
[5]  Garner, R., & Alexander, P. A: Metacognition: Answered and unanswered questions. Educational Psychologist. 24: 143-158. (1989).
[6]  Baker, L: Metacognitive, Comprehension Monitoring and the Adult Reader, Educational Psychology Review, 1(1), 3-38 (1989).
[7]  Reynolds, RE: Selective attention and prose learning: Theoretical and empirical research. Educational Psychology Review. 4(4): 345-391. (1992).
[8]  Montague, M: The effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities. Journal of Learning Disabilities, 25, 230-248. (1992).
[9]  Bereiter, C., and Scardamalia, M: Surpassing Ourselves: An Inquiry into the Nature and Implications of Expertise. Chicago, IL: Open Court (1993).
[10]  Garner, R: Metacognition and reading comprehension. Norwood, NJ: Ablex (1987).
[11]  Desoete, A., Roeyers, H., & Buysse, A: Metacognition and mathematical problem solving in grade 3. Journal of Learning Disabilities, 34, 435-449. (2001).
[12]  Stanovich, K.E: Concepts in developmental theories of reading skill: Cognitive resources, automaticity, and modularity. Dev Rev 10:72-100 (1990).
[13]  Pressley, M., Borkowski, J. G., and Schneider, W: Cognitive strategies: Good strategy users coordinate Metacognition and knowledge. In Vasta, R., and Whitehurst, G. (eds.), Annals of Child Development (Vol. 4), JAI Press, Greenwich, CT. 89-129 (1987).
[14]  King, A: Effects of training in strategic questioning on children’s problem-solving performance. Journal of Educational Psychology. 83, 305-317 (1991).
[15]  Lorch, R. F., Lorch, E. P., and Klusewitz, M. A: College students’ conditional knowledge about reading. Journal of Educational Psychology. 85: 239-252. (1993).
[16]  Miller, P. H: Metacognition and Attention, In Forrest-Pressley, D. L., McKinnon, E. G., & Waller T. G. (Eds.), Metacognition, Cognition, and Human Performance, Academic Press, New York, pp. 181-221. (1985).
[17]  Justice, E. M., & Weaver-McDougall, R. G:. Adults' knowledge about memory: Awareness and use of memory strategies across tasks. Journal of Educational Psychology, 81(2), 214-219. (1989).
[18]  Van der Walt, M., & Maree, K: Do mathematics facilitators implement metacognitive strategies? South African Journal of Education, 27(2), 223-241(2007).
[19]  Wonu, N & Harrison, I.S: Constructivist class of instructional models and senior secondary student geometry achievement. International Journal of Multidisciplinary Research and Development. 5(12). 98-103. (2018).
[20]  Wonu, N: Effects of Metacognitive Strategy on the Achievement of Students with Developmental Dyscalculia in Number and Numeration. Unpublished M.Ed Dissertation, University of Port Harcourt (2012).
[21]  Boudah, D. J. & Weiss, M. P: Learning Disabilities Overview, Eric Digest (2002).
[22]  Lucangeli, D., Cornoldi, C., & Tellarini, M: Mathematics and metacognition: What is the nature of the relationship? Mathematical Cognition, 3, 121-139. (1997).
[23]  Ali, M.H: Improving Teaching in Our schools, Science Teachers Association of Nigerian (STAN), 1, 26-28. (2008).
[24]  Ogunkunle R. A: Teachers Effectiveness as Emergent Issues Confronting Quality Mathematics Education in Primary Schools in Rivers State, African Journal of Historical Sciences in Education, 5(12), 73-80. (2009).
[25]  American Psychiatric Association: Diagnostic and Statistical Manual of Mental Disorders, (4th Edition, text revision) Washington, DC (2000).
[26]  Winne, P.H., & Perry, N.E: Measuring self-regulated learning. In M. Boekaerts, P.E. Pintrich & M. Zeidner (Eds.), Handbook of Self-regulation. San Diego: Academic Press. 531-566. (2000).
[27]  Rysz,T: Metacognition in Learning Elementary Probability and Statistics. A PhD Thesis, University of Cincinnati. (2004).