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Primary School Teachers’ Conceptual and Procedural Knowledge of Rational Number and Its Effects on Pupils’ Achievement in Rational Numbers
Authors: R. M. Kashim
Abstract:The study investigated primary school teachers’ conceptual and procedural knowledge of rational numbers and its effects on pupil’s achievement in rational numbers. Specifically, primary school teachers’ level of conceptual knowledge about rational numbers, primary school teachers’ level of procedural knowledge about rational numbers, and the effects of teachers conceptual and procedural knowledge on their pupils understanding of rational numbers in primary schools is investigated. The study was carried out in Bauchi metropolis in the Bauchi state of Nigeria. The design of the study was a multi-stage design. The first stage was a descriptive design. The second stage involves a pre-test, post-test only quasi-experimental design. Two instruments were used for the data collection in the study. These were Conceptual and Procedural knowledge test (CPKT) and Rational number achievement test (RAT), the population of the study comprises of three (3) mathematics teachers’ holders of Nigerian Certificate in Education (NCE) teaching primary six and 210 pupils in their intact classes were used for the study. The data collected were analyzed using mean, standard deviation, analysis of variance, analysis of covariance and t- test. The findings indicated that the pupils taught rational number by a teacher that has high conceptual and procedural knowledge understand and perform better than the pupil taught by a teacher who has low conceptual and procedural knowledge of rational number. It is, therefore, recommended that teachers in primary schools should be encouraged to enrich their conceptual knowledge of rational numbers. Also, the superiority performance of teachers in procedural knowledge in rational number should not become an obstruction of understanding. Teachers Conceptual and procedural knowledge of rational numbers should be balanced so that primary school pupils will have a view of better teaching and learning of rational number in our contemporary schools.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1126163Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 528
 Ni, Y. & Zhou Y. D. Teaching and learning fraction and rational numbers. The origin and implications of whole numbers bias Educational Psychology 40, 27-52. 2005
 Behr, M., Harel, G., Post T. R. & Lesh, R. Rational number: towards a semantic analysis. Emphasis on the operator construct in T. P. Carpenter. Atlanta: Macmillan publishers 1993.
 National Mathematics Advisory Panel Foundations for success: The final report of the National Advisory Panel Washington DC: US: Department of Education. 2008.
 Etukudo, “The effect of improvises instructional materials on students’ performance in mathematics.” Proceeding of 41st annual conference of STAN pp 228-23. 2000.
 Broody A.I The development of Adaptive expertise and flexibility. The integration of conceptual and procedural knowledge. In A. J. Broody and A. Dowker (Eds). The development of Arithmetic concepts and skills. Constructing adaptive expertise (pp. 1-33). 2003.
 Anderson, J. R. Cognitive Psychology and its implication (5th ed.), New York: Worth publishers. 2000.
 Desimore, L, M., Smith, T. M., Hayes, S. A., and Frisvold, D. Beyond Accountability and Average Mathematics Scores. Relating State Education policy attributes to cognitive Achievement Domains. Educational Measurement. Issues and Practice. 24(4), 5-18. 2005.
 Hiebert, J., Siegler, J. W., Jacobs, J. K., Givvin, K. B. Smith M., et al. Mathematics teaching in the United States today (and tomorrow) Results from the TIMSS 1999.Video study Educational Evaluation and Policy Analysis 27(2) 111-132. 2005.
 Fennema, E. and Frank M., “Teachers knowledge and its impact.” In D. A. Grouws (Ed) Handbook of research on mathematics teaching and learning. New York: Macmillan publishing. 1992.
 Ball, D. L. Unlearning to teach mathematics. Journal of learning of mathematics, 1(4), 40-48). 1988.
 Lein Hardt, G. Putnam, R.T., Stan M.K., & Baxter J. Where subject knowledge matters. In J.C. Brophy, (Ed) Advances in research in teaching (vol 11, pp. 87-113). Greenwhich CY: JAl press. 1991.
 Faulkenberry, E. E. Secondary mathematics pre-service teachers conceptual of rational numbers, unpublished Doctoral dissertation, Oklahoma state University, Oklahoma. 2003.
 Ball, D. L. The mathematical understanding that prospective teachers bring to teacher education. The elementary school journal 90 (4), 449-466. 1990.
 Meghehee, J. J. Prospective secondary teacher’s knowledge of the function concept unpolished doctored dissertation, Texas: University press. 1990.
 Bryan T. J. The conceptual knowledge of preserve secondary mathematic teaches how need do they know the subject matter they will teach? Unpublished Doctoral dissertation. The University of Texas at Austin, Austin Tax. 2002.
 Johnson, A. Procedural memory and skill acquisition. In I.B. Weaner (Ed). Handbook for psychology (Pp. 499.523). New York: Viking Publishers. 2003.
 GreenWall, R., Hedges, L. V. & Laure, R. D. “The effect of the school resources on student achievement,” Review of Educational Research 66(3) 361-396. 1996.
 Wayne, A. J. & Young, P. Teacher characteristics’ and students’ achievement gain. Review of Educational Research 73 89-122. 2003.
 Shauman, L. S. Those who understand knowledge growth in teaching. Educational Research,15(2),4-14. 1986.
 Hills, H. C., Rowan, B., and Ball D. L. Effects of teachers Mathematical Knowledge for teaching on student advertisement. American Educational Research Journal 42(2), 371-406. 2005.
 Odili, G. A. Teacher conceptualization of Mathematics in strategic implication for instruction in the subject. Trends in the Educational studies (TRES), Journal of Institute of Education, University of Port Harcourt. 2006.
 Sherrin. M.G When teaching becomes learning. Cognitional Instruction 20, 119-150. 2002.
 Ehrenbergad, R.G. Brewer, D. J. Do schools teachers’ characteristics matter? Evidence from high school and beyond for education Review.European Journal of Social Sciences volume 13 (1), 1-17. 2007.
 Sowder J. R., & Philipp, R. Promoting learning in middle grade mathematics. In E. Fennema (eds). Mathematic classroom that promote understanding (Pp 89-108). Mahwad N.J. Erlbaum. 1999.
 Saenz-Ludlow, A. Ann’s fraction schemes. Educational Studies in mathematics, 28 (2), 101-132. 1995.
 Wong, M. & Evans, D. Students’ conceptual understanding of equivalent fractions. Proceedings of the 30th annual conference of the mathematics education research group of Australian (vol. 2, pp. 824-833). 2007.
 Micheal, S. and Elspeth, S. The development Relations between conceptual and procedural knowledge: A multi method approach American psychological association.46 (1), 178-192. 2010.