International Journal of Academic Research in Business and Social Sciences

search-icon

Mnemonics of Basic Differentiation and Integration for Trigonometric Functions

Open access

Nur Azila Yahya, Rusliza Ahmad, Ini Imaina Abdullah, Nadzri Mohamad, Khairunnisa Mohd Daud

Pages 1218-1228 Received: 07 Sep, 2017 Revised: 21 Oct, 2017 Published Online: 25 Nov, 2017

http://dx.doi.org/10.46886/IJARBSS/v7-i11/3572
Calculus has always been issue of underachievement performance for public university students. Insufficient background of SPM Additional Mathematics affected the students’ performance in Mathematics at university level. One of the main reasons that contribute to this problem is the lack of understanding of the basic concept in differentiation and integration. Two innovative techniques of basic differentiation and integration for trigonometric functions by using mnemonic chart are developed in this paper. Many students face difficulties to memorize the formulas which unable for them to solve the given problems. These proposed techniques minimize students’ problem in memorizing formulas as well as improve teaching method for educators. In addition, these new technique is not only can be advantageous for university students in Calculus course, but also for Matriculation and STPM students in Mathematics subject. This technique emphasizes square and triangle shape to be used for Original Rule and Chain Rule. All formulas can be derived from clockwise and anticlockwise direction. In the future, further research need to be done whether mnemonics are effective and useful to academic programmes such as Science- based programmes and also for secondary high schools.
Bellezza F. S., and Reddy, B. G. (1987). Mnemonic devices and natural memory. Bulletin of the psychonomic society, 1978, 11 (5), 277 – 280.

Conway, J. and Ryba, A. (2016). Remembering spherical trigonometry, Volume 100, Issue 547, page 1 – 8.https://doi.org/10.1017/mag.2016.3

DeLashmutt, K. (2007). A study of the role of Mnemonics in Learning Mathematics. Summative projectsfor MA Degree. 19. http://digitalcommons.unl.edu/mathmidsummative/19

Diezmann, C., & English, L. (2001). Promoting the use of diagrams as tools for thinking. In A. Cuoco, A.A. (Ed.) 2001 National Council of Teachers of Mathematics Year book:The role of representation in school mathematics. National Council of Teachers of Mathematics, pp. 77-89

Eng, T. H., Li. V. L. and Julaihi, N. H. (2008) The Impact of ‘High-Failure Rate’ Mathematics courses on UiTM Sarawak full-time diploma students’ academic performance. Research Management Institute, Universiti Teknologi MARA, Malaysia, 2008.

Eng, T. H., Li. V. L. and Julaihi, N. H. (2010). The Relationships Between Students’ Under achievement in Mathematics Courses and Influencing Factors. Procedia-Social and Behavioral Sciences, 2010, 8, 134-141.

Eng, T. H., Li. V. L. and Julaihi, N. H. (2013). Lecturers’ Perceptions, Students’ Problems and Solutions for Handling High-Failure Rate Mathematics Courses. Procedia-Social and Behavioral Sciences, 90, 853-861.

Fernandes, C. J., & Speer, M. E. (2002). Using mnemonics and visual imagery to teach the new neonatal resuscitation program. Journal of Perinatology, 22(5), 411?413.

Gibson, H. A. (2009) Using mnemonics to increase knowledge of an organizing curriculum framework. Teaching and Learning in Nursing, 4, 56 – 62.

Gruneberg, M. M. (1973). The role of memorization techniques in finals examination preparation – A study of psychology Students, Volume 15, Issue 2, 134 – 139.

Hembree, R. (1992). Experiments and relational studies in problem solving-a meta-analysis. Journal for Research in Mathematics Education, 23, 242–273. doi:10.2307/749120.

Henry J. R., Miami, S. Fla. Visual Study Aid for Trigonometry, United State Patent Office, 2, 509, 301, Patented 30 May 1950

McDaniel M.A, Pressly M. (1987). Imaginary and Related Mnemonic Process: Theories Individual Differences and Applications. Springer-Verlag New York Inc. Pg 407

Novick, L., & Hurley, M. (2001). To matrix, network, or hierarchy: that is the question. Cognitive Psychology, 42, 158–216. doi:10.1006/cogp.2000.0746.

Salleh, T. S. A., & Zakaria, E. (2011). Integrating Computer Algebra System (CAS) into Integral Calculus Teaching and Learning at the University. International Journal of Academic Research, 3(3), 397 - 401.

Schoen L. M. (1996).Mnemopoly: Board games and mnemonics. Teaching of Psychology, Volume 23, Issue1, 30 – 32.

Scruggs, T.E., and Mastropieri M. A. (1991). Classroom Application of Mnemonic Instruction: Acquisition, Maintenance, and Generalization, Volume: 58 issue: 3, page(s): 219-229

Scruggs, T.E., and Mastropieri M. A. (2000). The effectiveness of Mnemonic Instruction for students with learning and behavior Problems: An update and research synthesis, Volume 10, Issue 2 – 3, pp 163 – 173.

Shimberg, H. I. Device for teaching Trigonometry, United State Patent Office, 1, 955, 392, Patented 17 April 1934

Suresh, R. (2003). Persistence and attrition in Engineering: Understanding the nature of students’ experience with barrier courses. PhD. dissertation, University of New York, 64, 85.

Uesaka, Y., Manalo, E., & Ichikawa, S. (2007). What kinds of perceptions and daily learning behaviors promote students’ use of diagrams in mathematics problem solving? Learning and Instruction, 17, 322–335. doi:10.1016/j.learninstruc.2007.02.006.
Yahya, N. A., Ahmad, R., Abdullah, I. I., Mohamad, N., & Daud, K. M. (2017). Mnemonics of Basic Differentiation and Integration for Trigonometric Functions. International Journal of Academic Research in Business and Social Sciences, 7(11), 1218-1228.