Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng
The paper presents the results of a case study examining students’ difficulties in the learning of integral calculus. It sought to address the misconceptions and errors that were encountered in the students’ work solution. In quantitative study, the marks obtained by 147 students of Diploma in Compu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit UiTM (UiTM Press)
2017
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| Online Access: | https://ir.uitm.edu.my/id/eprint/21914/ |
| _version_ | 1848805365892775936 |
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| author | Voon, Li Li Julaihi, Nor Hazizah Tang, Howe Eng |
| author_facet | Voon, Li Li Julaihi, Nor Hazizah Tang, Howe Eng |
| author_sort | Voon, Li Li |
| building | UiTM Institutional Repository |
| collection | Online Access |
| description | The paper presents the results of a case study examining students’ difficulties in the learning of integral calculus. It sought to address the misconceptions and errors that were encountered in the students’ work solution. In quantitative study, the marks obtained by 147 students of Diploma in Computer Science in advanced calculus examinations were used as a measurement to evaluate the percentages of errors. Further, qualitative study examined the types of errors performed by 70 diploma students of the advanced calculus courses in their on-going assessments. The students encountered more difficulties in solving questions related to improper integrals for standard functions (63.1 percentages of errors). The three techniques of integration, namely by parts, trigonometric substitution and partial fraction with combined percentage errors of 42.8 also contributed to this. The types of conceptual errors discovered are symbolic, standard functions recognition, property of integral and technique determination. The procedural errors are due to the confusion between differentiation and integration process while the technical errors have foreseen the students struggling with poor mathematical skills and carelessness. The results will thus be useful to Mathematics educators who are keen in designing functional teaching and learning instruments to rectify the difficulties and misconceptions problems experienced by calculus students. |
| first_indexed | 2025-11-14T22:09:53Z |
| format | Article |
| id | uitm-21914 |
| institution | Universiti Teknologi MARA |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T22:09:53Z |
| publishDate | 2017 |
| publisher | Penerbit UiTM (UiTM Press) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uitm-219142018-10-23T09:08:01Z https://ir.uitm.edu.my/id/eprint/21914/ Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng ajue Voon, Li Li Julaihi, Nor Hazizah Tang, Howe Eng Learning. Learning strategies Learning ability The paper presents the results of a case study examining students’ difficulties in the learning of integral calculus. It sought to address the misconceptions and errors that were encountered in the students’ work solution. In quantitative study, the marks obtained by 147 students of Diploma in Computer Science in advanced calculus examinations were used as a measurement to evaluate the percentages of errors. Further, qualitative study examined the types of errors performed by 70 diploma students of the advanced calculus courses in their on-going assessments. The students encountered more difficulties in solving questions related to improper integrals for standard functions (63.1 percentages of errors). The three techniques of integration, namely by parts, trigonometric substitution and partial fraction with combined percentage errors of 42.8 also contributed to this. The types of conceptual errors discovered are symbolic, standard functions recognition, property of integral and technique determination. The procedural errors are due to the confusion between differentiation and integration process while the technical errors have foreseen the students struggling with poor mathematical skills and carelessness. The results will thus be useful to Mathematics educators who are keen in designing functional teaching and learning instruments to rectify the difficulties and misconceptions problems experienced by calculus students. Penerbit UiTM (UiTM Press) 2017 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/21914/1/AJ_VOON%20LI%20LI%20AJUE%2017.pdf Voon, Li Li and Julaihi, Nor Hazizah and Tang, Howe Eng (2017) Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng. (2017) Asian Journal of University Education (AJUE) <https://ir.uitm.edu.my/view/publication/Asian_Journal_of_University_Education_=28AJUE=29.html>, 13 (1). pp. 17-39. ISSN 1823-7797 |
| spellingShingle | Learning. Learning strategies Learning ability Voon, Li Li Julaihi, Nor Hazizah Tang, Howe Eng Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng |
| title | Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng |
| title_full | Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng |
| title_fullStr | Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng |
| title_full_unstemmed | Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng |
| title_short | Misconceptions and errors in learning integral calculus / Voon Li Li, Nor Hazizah Julaihi and Tang Howe Eng |
| title_sort | misconceptions and errors in learning integral calculus / voon li li, nor hazizah julaihi and tang howe eng |
| topic | Learning. Learning strategies Learning ability |
| url | https://ir.uitm.edu.my/id/eprint/21914/ |