Students’ conceptual understanding of a function and its derivative in an experimental calculus course
Calculus has been witnessing fundamental changes in its curriculum, with an increased emphasis on visualization. This mode for representing mathematical concepts is gaining more strength due to the advances in computer technology and the development of dynamical mathematical software. This paper foc...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2005
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/2092 http://dx.doi.org/doi:10.1016/j.jmathb.2005.11.004 https://www.sciencedirect.com/science/article/pii/S073231230500057X |
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| _version_ | 1864513457391403008 |
|---|---|
| author | Habre, Samer |
| author2 | Abboud, May |
| author2_role | author |
| author_facet | Habre, Samer Abboud, May |
| author_role | author |
| dc.creator.none.fl_str_mv | Habre, Samer Abboud, May |
| dc.date.none.fl_str_mv | 2005 2006 2015-09-04T07:35:10Z 2015-09-04T07:35:10Z |
| dc.identifier.none.fl_str_mv | 0732-3123 http://hdl.handle.net/10725/2092 http://dx.doi.org/doi:10.1016/j.jmathb.2005.11.004 Habre, S., & Abboud, M. (2006). Students’ conceptual understanding of a function and its derivative in an experimental calculus course. The Journal of Mathematical Behavior, 25(1), 57-72. https://www.sciencedirect.com/science/article/pii/S073231230500057X |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | The Journal of Mathematical Behavior |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Calculus has been witnessing fundamental changes in its curriculum, with an increased emphasis on visualization. This mode for representing mathematical concepts is gaining more strength due to the advances in computer technology and the development of dynamical mathematical software. This paper focuses on the understanding of the function and its derivative as viewed by students of a reformed Calculus 1 course offered in two experimental sections at the Lebanese American University in Beirut, Lebanon. Results have shown that the general approach adopted in the course proved to be unpopular for a great majority of the students, but rewarding for others. Interviews conducted with some students and a study of their performance on very specific exam questions reveal that for most students, the algebraic representation of a function still dominated their thinking; however, these students showed an almost complete understanding of the derivative, particularly the idea of the instantaneous rate of change and/or the slope of a curve at a given point. Furthermore, very few of these students referred to the mechanical methods for finding derivatives. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_7d65ede06ffa3f266a566dfeef164a6f |
| identifier_str_mv | 0732-3123 Habre, S., & Abboud, M. (2006). Students’ conceptual understanding of a function and its derivative in an experimental calculus course. The Journal of Mathematical Behavior, 25(1), 57-72. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/2092 |
| publishDate | 2005 |
| repository.mail.fl_str_mv | |
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| repository_id_str | |
| spelling | Students’ conceptual understanding of a function and its derivative in an experimental calculus courseHabre, SamerAbboud, MayCalculus has been witnessing fundamental changes in its curriculum, with an increased emphasis on visualization. This mode for representing mathematical concepts is gaining more strength due to the advances in computer technology and the development of dynamical mathematical software. This paper focuses on the understanding of the function and its derivative as viewed by students of a reformed Calculus 1 course offered in two experimental sections at the Lebanese American University in Beirut, Lebanon. Results have shown that the general approach adopted in the course proved to be unpopular for a great majority of the students, but rewarding for others. Interviews conducted with some students and a study of their performance on very specific exam questions reveal that for most students, the algebraic representation of a function still dominated their thinking; however, these students showed an almost complete understanding of the derivative, particularly the idea of the instantaneous rate of change and/or the slope of a curve at a given point. Furthermore, very few of these students referred to the mechanical methods for finding derivatives.PublishedN/A2015-09-04T07:35:10Z2015-09-04T07:35:10Z20052006Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0732-3123http://hdl.handle.net/10725/2092http://dx.doi.org/doi:10.1016/j.jmathb.2005.11.004Habre, S., & Abboud, M. (2006). Students’ conceptual understanding of a function and its derivative in an experimental calculus course. The Journal of Mathematical Behavior, 25(1), 57-72.https://www.sciencedirect.com/science/article/pii/S073231230500057XenThe Journal of Mathematical Behaviorinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/20922025-10-09T12:08:54Z |
| spellingShingle | Students’ conceptual understanding of a function and its derivative in an experimental calculus course Habre, Samer |
| status_str | publishedVersion |
| title | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| title_full | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| title_fullStr | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| title_full_unstemmed | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| title_short | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| title_sort | Students’ conceptual understanding of a function and its derivative in an experimental calculus course |
| url | http://hdl.handle.net/10725/2092 http://dx.doi.org/doi:10.1016/j.jmathb.2005.11.004 https://www.sciencedirect.com/science/article/pii/S073231230500057X |