Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education
This paper demonstrates the use of a spreadsheet in teaching topics in elementary number theory. It emphasizes both the power and deficiency of inductive reasoning using a number of historically significant examples. The notion of computational experiment as a modern approach to the teaching of mat...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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McMaster University
2011-04-01
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| Series: | Spreadsheets in Education |
| Subjects: | |
| Online Access: | http://epublications.bond.edu.au/ejsie/vol4/iss3/1 |
| _version_ | 1797969546243473408 |
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| author | Sergei Abramovich |
| author_facet | Sergei Abramovich |
| author_sort | Sergei Abramovich |
| collection | DOAJ |
| description | This paper demonstrates the use of a spreadsheet in teaching topics in elementary number theory. It emphasizes both the power and deficiency of inductive reasoning using a number of historically significant examples. The notion of computational experiment as a modern approach to the teaching of mathematics is discussed. The paper, grounded in a teacher-student dialogue as an instructional method, is a reflection on the author’s work over the years with prospective teachers of secondary mathematics. |
| first_indexed | 2024-04-11T03:03:55Z |
| format | Article |
| id | doaj.art-6828e17dced349ea8f8c3739a83e4616 |
| institution | Directory Open Access Journal |
| issn | 1448-6156 |
| language | English |
| last_indexed | 2024-04-11T03:03:55Z |
| publishDate | 2011-04-01 |
| publisher | McMaster University |
| record_format | Article |
| series | Spreadsheets in Education |
| spelling | doaj.art-6828e17dced349ea8f8c3739a83e46162023-01-02T13:38:02ZengMcMaster UniversitySpreadsheets in Education1448-61562011-04-01431093Number Theory, Dialogue, and the Use of Spreadsheets in Teacher EducationSergei AbramovichThis paper demonstrates the use of a spreadsheet in teaching topics in elementary number theory. It emphasizes both the power and deficiency of inductive reasoning using a number of historically significant examples. The notion of computational experiment as a modern approach to the teaching of mathematics is discussed. The paper, grounded in a teacher-student dialogue as an instructional method, is a reflection on the author’s work over the years with prospective teachers of secondary mathematics.http://epublications.bond.edu.au/ejsie/vol4/iss3/1spreadsheetnumber theoryinductive reasoningexperimental mathematicsdialogueteacher education |
| spellingShingle | Sergei Abramovich Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education Spreadsheets in Education spreadsheet number theory inductive reasoning experimental mathematics dialogue teacher education |
| title | Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education |
| title_full | Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education |
| title_fullStr | Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education |
| title_full_unstemmed | Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education |
| title_short | Number Theory, Dialogue, and the Use of Spreadsheets in Teacher Education |
| title_sort | number theory dialogue and the use of spreadsheets in teacher education |
| topic | spreadsheet number theory inductive reasoning experimental mathematics dialogue teacher education |
| url | http://epublications.bond.edu.au/ejsie/vol4/iss3/1 |
| work_keys_str_mv | AT sergeiabramovich numbertheorydialogueandtheuseofspreadsheetsinteachereducation |