The Effect of Retention Interval Over a Three Year Period on the Elementary Algebra Performance of High School Students

Authors

  • Jonald L. Pimentel Department of Mathematics and Statistics, University of Southern Mindanao, 9407 Kabacan, Cotabato, Philippines
  • Omar U. Enock University Laboratory School, University of Southern Mindanao, 9407 Kabacan, Cotabato, Philippines

Keywords:

achievement, after instruction, during instruction, gain score, test, retest, retention interval.

Abstract

This study provided empirical evidence on the effect of retention interval on the student’s performance in elementary algebra mathematics among High School Students. The subjects were the grade 8, grade 9 and grade 10 students of the University Laboratory School, University of Southern Mindanao, Philippines for school year 2012-2013 who took their elementary algebra in their grade 7 in the school under the same instructor. The results of the respondents’ grade 7 exam taken prior to the conduct of study was the initial test were used for comparison to their present retest result. Results revealed that there was a highly significant difference between the achievement during and after instruction of the participants according to their year level. Gain in performance across retention interval group were highly significant. Retention interval supplemented enough time for the students to practice what was previously learned as they engaged to new but highly related mathematics courses. Further, exposure to different academic trials facilitated development of expertise and mathematical academic maturity on the students contributed to the increase in gain with increasing retention interval. Thus, retention interval was found to be advantageous in mathematics if practiced and elaborated.

References

. I.V.S Mullis, M.O. Martin, E. J. Gonzales & S. J. Chrostowski. (2004) TIMSS 2003 International Mathematics Report. [on line]. Available: https://timss.bc.edu/PDF/t03_download/T03INTLMATRPT.pdf, (Feb. 2,2019]

. A.D. Parena and D.L. H. Dinglasan. “Students’ performance on the departmental examination: Basis for math intervention program”. “Asian Academic Research Journal of Social Sciences & Humanities”, vol. 1, issue 14, pp. 255-268, Aug. 2013

. T.P. Alloway, S.E. Gathercole, and J. Elliott, (2010). “Examining the link between working memory behavior and academic attainment in children with ADHD". Developmental medicine and child neurology, vol. 52(7), pp. 632-636. Available: https://doi. org/10.1111/j.1469-8749.2009.03603.x

. S.E. Gathercole, S.J. Pickering, B. Ambridge and H. Wearing. “The Structure of Working Memory from 4 to 15 Years of Age”. Developmental Psychology, vol. 40(2), pp. 177-190, Mar. 2004..

. R.S. Siegler and J.L.Booth. “Development of numerical estimation: A review”. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition. New York, NY, US: Psychology Press. 2005, pp. 197-212.

. P.L. Ayres.” Systematic mathematical errors and cognitive load”. Contemporary Educational Psychology, vol.26 (2), pp.227-248, Apr.2001

. J.W. Adams, G.J. Hitch.” Working memory and children's mental addition”. Journal of Experimental Child Psychology, vol.6 7(1), pp. 21-38, Oct.1997.

. H. Ebbinghaus. Memory: A contribution to experimental psychology (H. A. Ruger& C. E. Bussenius, Trans.). New York: Dover, 1964 (Original work published 1885)

. H.P. Bahrick, E. Phelps “Retention of Spanish vocabulary over 8 years”. Journal of Experimental Psychology: Learning, Memory and Cognition, vol.13 (2), pp.344-349. Apr 1987

. A. D. Baddeley and D.J.A Longman, “The influence of length and frequency on training sessions on the rate of learning to type”. Ergonomics, vol. 21, pp. 627-635, 1978

. J. Richmond, P. Sowerby and H. Hayne “The effect of familiarization time, retention interval and context change in adults’ performance in visual-paired compare on task”. Wiley Periodicals, Inc. Dev Psychobiol, vol. 44, pp.146–155, Mar 2004.

. A. S. Posamentier, B. S. Smith and J. S. Stepelman. Teaching secondary mathematics (8th ed.). Boston: Allyn& Bacon, 2010

. P. Pauli, L.E. Bourne, N. Nirbaumer. “Extensive practice in mental arithmetic and practice transfer over a ten-month retention interval”. Mathematical Cognition, vol. 4 (1), pp.21–46, 1998

. D.W. Fendrich, A.F. Healy and L.E. Bourne Jr. “Mental arithmetic: Training and retention of multiplication skill”. In C. Izawa (Ed.), Applied cognitive psychology: Applications of cognitive theories and concepts, Hillsdale, NJ: Lawrence Erlbaum Associates, Inc., 1993, pp. 111–133,

. G.L. Gates “A review of the effects of interspersing procedures on the stages of academic skill development”. Journal of Behavioral Education, vol14, pp.305-325, 2005

. C. R. Greenwood, J. Delquadri and R.V. Hall “Opportunity to respond and student academic performance”. In W. Heward, T. Heron, D. Hill, & J. Trap Porter (Eds.), Focus on behavior analysis in education, Columbus, OH: Charles E. Merrill, 1984, pp.58-88.

. C.H. Skinner, K. Hall-Johnson, A.L. Skinner, G.L. Cates, G.A. Johns and J. Webber. “Enhancing students’ perceptions of mathematics assignments by increasing relative problem completion rates through the interspersal technique”. Journal of Experimental Education, vol.68, pp. 43-59, 1999

. J. P. Byrnes. Cognitive Development and learning in instructional contexts. Boston: Allen & Bacon, 1996

. D. F. Bjorklund. “Cognitive development: An overview”. In P. D. Zelazo (Ed.), Oxford handbook of developmental psychology, New York: Oxford University Press, 2011, in press

. F.I.M. Craik and R. S. Lockhart. (1972), “Levels of processing: A framework for memory research”. Journal of Verbal Learning and Verbal Behavior, vol.11, pp. 671-684, Available: http://wixtedlab.ucsd.edu/publications/Psych%20218/Craik_Lockhart_1972.pdf, [Dec.2, 2016]

. J. W. Santrock . Educational Psychology (5th Ed.). New York: McGraw-Hill, 2011

. K.A. Ericsson, R.T. Krampe and C. Teschromer. “Three aspects of cognitive development”. In D. Shanks (Ed.), Psychology of learning. Thousand Oaks, CA: Sage. 2009

. M. A. Nippold. “School-age children talk about chess: Does knowledge drive syntactic complexity”, Journal of Speech, Language and Hearing Research, vol.38, pp.131–142. 2009

. National Research Council. (Apr.1999). How people learn. Washington, DC: National Academic Press. available: https://www.desu.edu/sites/flagship/files/document/16/how_people_learn_book.pdf, [Dec. 4,2018]

. J. Bransford, B. Barron, R. Pea, A. Meltzoff, P. Kuhl, P. Bell, R. Stevens, D. Schwartz, N. Vye, B. Reeves, .J. Roschelle and N. Sabelli. “Foundations and opportunities for an interdisciplinary science”. In R.K. Sawyer (Ed.), The Cambridge handbook of the learning sciences. New York: Cambridge University Press, 2006.

. M. I. Posner and M.K. Rothbart. Educating the human brain. Washington, DC: American Psychological Association, 2007

. J.P. Byrnes (Jun 2003). “Factors predictive of mathematics achievement in White, Black, and Hispanic 12th graders”. Journal of Educational Psychology, vol.95, pp.316-326, Available: https://psycnet.apa.org/doiLanding?doi=10.1037%2F0022-0663.95.2.316 [Dec 3, 2016]

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Published

2019-02-12

How to Cite

L. Pimentel, J., & U. Enock, O. (2019). The Effect of Retention Interval Over a Three Year Period on the Elementary Algebra Performance of High School Students. International Journal of Sciences: Basic and Applied Research (IJSBAR), 43(2), 181–194. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/9789

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Articles