One of the mathematics standards for high schools stated in the Common Core State Standards Initiative (CCSS, 2010 Appendix A, p. 60) is the understanding of the Complex Number system, performing arithmetic operations with complex numbers, representing complex numbers and their operations on the complex plane, and using complex numbers in polynomial identities and equations.
In this thesis, we trace back the history of complex numbers and formulate a set of problems based on the history. The thesis gives a description of the Common Core standards and goals. The exercises based on the history of complex numbers are shown to be in accordance with the Common Core standards. The different approaches to teaching complex numbers are described with examples. Their merits and shortfalls are discussed from a teachers mathematical perspective. A list of Guidelines on teaching complex numbers for high school teachers is given in the last chapter of this thesis.
| Identifer | oai:union.ndltd.org:LSU/oai:etd.lsu.edu:etd-07142014-131317 |
| Date | 26 November 2014 |
| Creators | Chavez, Esperanza Gotoman |
| Contributors | Sundar, Padmanabhan, Madden, James, Neubrander, Frank |
| Publisher | LSU |
| Source Sets | Louisiana State University |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lsu.edu/docs/available/etd-07142014-131317/ |
| Rights | unrestricted, I hereby certify that, if appropriate, I have obtained and attached herein a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to LSU or its agents the non-exclusive license to archive and make accessible, under the conditions specified below and in appropriate University policies, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. |
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