Research on Students’ Error Pattern in Solving First Order Differential Equations
Nur Azila Yahya1, Junaida Md Said2, Samsiah Abdul Razak3, Nurul Husna Jamian4, Elizabeth Arul5
1Nur Azila Yahya, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perak Branch, Tapah Campus, Perak, Malaysia.
2Junaida Md Said, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perak Branch, Tapah Campus, Perak, Malaysia.
3Samsiah Abdul Razak, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perak Branch, Tapah Campus, Perak, Malaysia.
4Nurul Husna Jamian, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perak Branch, Tapah Campus, Perak, Malaysia.
5Elizabeth Arul, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Perak Branch, Tapah Campus, Perak, Malaysia.
Manuscript received on 11 October 2019 | Revised Manuscript received on 20 October 2019 | Manuscript Published on 02 November 2019 | PP: 664-668 | Volume-8 Issue-2S11 September 2019 | Retrieval Number: B11050982S1119/2019©BEIESP | DOI: 10.35940/ijrte.B1105.0982S1119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: First order differential equations can be classified as separable, linear, exact, homogeneous and Bernoulli. Each type has a very systematic method of solution. An analytic method of solution is offered the student for each class of equation whereas integration is essential in the solution process. Hence integration, formulas and steps are important in these kinds of approaches. This study aims to investigate students’ error pattern in solving first order differential equations and focused only to separable, homogeneous and Bernoulli. A test consisting of the three different first-order differential equations was prepared for students. 41 students were asked to solve the equations on the test using appropriate methods. The 41 scripts were examined with a focus on the integration techniques used and the final answers given by students. The results were analyzed using IBM SPSS Statistics 23 and the items such as frequency, mean and standard deviation are used to assess students’ understanding and their ability to solve first order differential equations.
Keywords: Bernoulli, Homogeneous, Integration Techniques, Ordinary Differential Equations, Separable.
Scope of the Article: Pattern Recognition