THE IMPACT OF ALGEBRA AND TRIGONOMETRY TO CALCULUS PERFORMANCE
The study aims to determine the impact of Algebra and Trigonometry to the students’ performance in Calculus. To achieve this objective, the researcher considered the following: (1) identification of the major topics in Differential Calculus and Integral Calculus with the respective applications of Algebra and Trigonometry; (2) computation of the coefficients of correlation to determine the relationship of the students’ performance in the Pre-Calculus and Calculus courses; and (3) documentation of the significant findings of related investigations conducted in different countries. One hundred (100) engineering students participated in the study where final grades in Algebra, Trigonometry, Differential Calculus and Integral Calculus were elicited from them. The results of the study confirmed what the researchers of previous studies assumed that the deficiencies in Algebra and Trigonometry skills continue to impact adversely to Calculus students. The low rating of the students in Calculus was seen to be attributed to the poor performance in the pre-requisite subjects. As documented from related investigations, it is further concluded that students generally lack both conceptual and procedural understanding of Calculus because of the observed deficiencies in their mathematical content knowledge in the Pre-Calculus courses.
Agustin, M.Z.N. & Agustin, M.A. (2009). Algebra and Pre-Calculus Skills and Performance in First-Semester Calculus. International Journal of Case Method Research & Application, XXI (3).
Bokhari, M.A., Samman, M., & Yushau, B. (2006). Students’ Learning Process in Pre-Calculus and Calculus Courses at KFUPM. Final Report, King Fahd University of Petroleum & Minerals, Department of Mathematical Sciences. Retrieved February 4, 2017, from http://www.academia.edu/2724667/Students_Learning_Process_in_PreCalculus_and_Calculus_ Courses_at_KFUPM.
Ennis, T., Sullivan, J., Louie, B., & Knight, D. (2013). Unlocking the Gate to Calculus Success: Pre-Calculus for Engineers - An Assertive Approach to Readying Underprepared Students. 120th ASEE Annual Conference & Exposition, American Society for Engineering Education. Retrieved February 4, 2017, from https://www.researchgate. net/publication/287055768_Unlocking_the_gate_to_Calculus_success_PreCalculus_for_engineers_An_assertive_approach_to_readying_underprepared_students.
Gordon, S. P. (1994). Functioning in the Real World: Models for Pre-Calculus Reform. In Solow, A. (Ed.). Preparing for a New Calculus. Mathematical Association of America, Washington, D.C., 136-142.
Islam, M.M. & Al-Ghassani, A. (2015). Predicting College Math Success: Do High School Performance and Gender Matter? Evidence from Sultan Qaboos University in Oman. International Journal of Higher Education, 4 (2), 67-80.
Jackson, S.L. (2009). Correlation Coefficients. Statistics Plain and Simple. Second Edition, Cengage Learning, 239-245.
Jarrett, E. (2000). Evaluating the Persistence and Performance of Successful Pre-Calculus Students in Subsequent Mathematics Courses. Masters Thesis, Texas Tech University. Retrieved February 4, 2017, from https://ttu-ir.tdl.org/ttu-ir/handle/2346/15555?show= full.
Judson, T.W. & Nishimori, T. (2005). Concepts and Skills in High School Calculus: An Examination of a Special Case in Japan and the United States. Journal for Research in Mathematics Education, 36 (1), 24-43.
Kauffmann, P., Archava, S., Castles, R., Ries, H., Sullivan, S., & De Urquidi, K. (2011). Factors Impacting Poor Performance in Pre-Calculus. American Society for Engineering Education. Retrieved February 4, 2017, from www.asee.org/public/conferences/1/papers/ 405.
Kiat, S. E. (2005). Analysis of Students’ Difficulties in Solving Integration Problems. The Mathematics Educator, 9 (1), 39-59.
Luneta, K. & Makonye, P.J. (2010). Learner Errors and Misconceptions in Elementary Analysis: A Case Study of a Grade 12 Class in South Africa. Acta Didactica Napocensia, 3 (3), 35-46.
Mwavita, M. (1994). Factors Influencing Calculus Course Success Among Freshmen Engineering Students. A Dissertation Paper, Oklahoma State University. Retrieved February 4, 2017, from http://digital.library.okstate.edu/etd/umi-okstate-1310.pdf.
Orhun, N. (2010). The Gap Between Real Numbers and Trigonometric Relations. Quaderni di Ricerca in Didattica (Matematica), 20, 175-184.
Seymour, E. & Hewitt, N. M. (1997). Talking About Leaving: Why Undergraduates Leave the Sciences. Boulder, CO: Westview.
Siyepu, S.W. (2015). Analysis of Errors in Derivatives of Trigonometric Functions. International Journal of STEM Education, 2 (16), 1-16.
Skane, M.E. & Graeber, A.O. (1993). A Conceptual Change Model Implemented with College Students: Distributive Law Misconceptions. The Proceedings of the Third International Seminar on Misconceptions and Educational Strategies in Science and Mathematics, Misconceptions Trust: Ithaca, NY.
Usman, A.I. (2012). Analysis of Algebraic Errors in Applied Calculus Problem Solving. 12th International Congress on Mathematical Education, COEX, Seoul, Korea.
White, P. & Mitchelmore, M. (1996). Conceptual Knowledge in Introductory Calculus. Journal for Research in Mathematics Education. 27 (1), 79-95.
Whitely, M. A. (1987). Mathematics as the Critical Filter to College Majors: A Structural Model Analysis. Paper Presented at the Annual Meeting of the Association for the Study of Higher Education, San Diego, CA.
Yee, N.K. & Lam, T.T. (2008). Pre-University Students’ Errors in Integration of Rational Functions and Implications for Classroom Teaching. Journal of Science and Mathematics Pre-University Students’ Errors Education in Southeast Asia, 31 (2), 100-116.
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