Multiple Representations and the Understanding of Taylor Polynomials
The study of Maclaurin and Taylor polynomials entails the comprehension of various new mathematical ideas. Those polynomials are initially discussed at the college level in a calculus class and then again in a course on numerical methods. This article investigates the understanding of these polynomi...
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2009
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| Online Access: | http://hdl.handle.net/10725/2128 https://doi.org/10.1080/10511970701668209 https://www.tandfonline.com/doi/full/10.1080/10511970701668209 |
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| _version_ | 1864513457413423104 |
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| author | Habre, Samer |
| author_facet | Habre, Samer |
| author_role | author |
| dc.creator.none.fl_str_mv | Habre, Samer |
| dc.date.none.fl_str_mv | 2009 2009 2015-09-11T12:30:25Z 2015-09-11T12:30:25Z |
| dc.identifier.none.fl_str_mv | 1051-1970 http://hdl.handle.net/10725/2128 https://doi.org/10.1080/10511970701668209 Habre, S. (2009). Multiple representations and the understanding of Taylor polynomials. PRIMUS, 19(5), 417-432. https://www.tandfonline.com/doi/full/10.1080/10511970701668209 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | PRIMUS |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Multiple Representations and the Understanding of Taylor Polynomials |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The study of Maclaurin and Taylor polynomials entails the comprehension of various new mathematical ideas. Those polynomials are initially discussed at the college level in a calculus class and then again in a course on numerical methods. This article investigates the understanding of these polynomials by students taking a numerical methods class at the Lebanese American University in Beirut. The class adopted a closed laboratory format where Mathematica was used extensively. Results show that the added graphical dimension due to the use of the software does not necessarily contribute to a further understanding of the topics under examination. In fact, each subject of the study exhibited a unique mode of understanding: For one, it was purely graphical, for another analytical/numerical, and for the third all three modes complemented each other. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_3544d96151c2530cc367afc6bfa3ab18 |
| identifier_str_mv | 1051-1970 Habre, S. (2009). Multiple representations and the understanding of Taylor polynomials. PRIMUS, 19(5), 417-432. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/2128 |
| publishDate | 2009 |
| repository.mail.fl_str_mv | |
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| spelling | Multiple Representations and the Understanding of Taylor PolynomialsHabre, SamerThe study of Maclaurin and Taylor polynomials entails the comprehension of various new mathematical ideas. Those polynomials are initially discussed at the college level in a calculus class and then again in a course on numerical methods. This article investigates the understanding of these polynomials by students taking a numerical methods class at the Lebanese American University in Beirut. The class adopted a closed laboratory format where Mathematica was used extensively. Results show that the added graphical dimension due to the use of the software does not necessarily contribute to a further understanding of the topics under examination. In fact, each subject of the study exhibited a unique mode of understanding: For one, it was purely graphical, for another analytical/numerical, and for the third all three modes complemented each other.PublishedN/A2015-09-11T12:30:25Z2015-09-11T12:30:25Z20092009Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1051-1970http://hdl.handle.net/10725/2128https://doi.org/10.1080/10511970701668209Habre, S. (2009). Multiple representations and the understanding of Taylor polynomials. PRIMUS, 19(5), 417-432.https://www.tandfonline.com/doi/full/10.1080/10511970701668209enPRIMUSinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/21282025-11-14T13:32:33Z |
| spellingShingle | Multiple Representations and the Understanding of Taylor Polynomials Habre, Samer |
| status_str | publishedVersion |
| title | Multiple Representations and the Understanding of Taylor Polynomials |
| title_full | Multiple Representations and the Understanding of Taylor Polynomials |
| title_fullStr | Multiple Representations and the Understanding of Taylor Polynomials |
| title_full_unstemmed | Multiple Representations and the Understanding of Taylor Polynomials |
| title_short | Multiple Representations and the Understanding of Taylor Polynomials |
| title_sort | Multiple Representations and the Understanding of Taylor Polynomials |
| url | http://hdl.handle.net/10725/2128 https://doi.org/10.1080/10511970701668209 https://www.tandfonline.com/doi/full/10.1080/10511970701668209 |