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Computer Algebra Systems in the Learning and Teaching of Linear Algebra: Some Examples

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The Teaching and Learning of Mathematics at University Level

Part of the book series: New ICMI Study Series ((NISS,volume 7))

Conclusion

What I have tried to point out in this paper with the examples of linear algebra work is that, as a mathematician, one does not need to be completely committed to using CAS nor drastically change teaching styles in order to devise some interesting CAS activities. Certainly, CAS are by and large black boxes which could easily be misused. Certainly, CAS work can entail a lot of fussing with syntax and other technical difficulties. But with thought, care, and experience, there are activities that can engage most students in a mathematical idea or confront them with unexpected results. In the process, students can become mathematically curious, and that is by itself a rewarding payoff.

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References

  • Carlson, D., Johnson C., Lay D. and Porter, A. (1993). The Linear Algebra Curriculum Study Group recommendations for the first course in linear algebra. College Mathematics Journal, 24.1, 41–46.

    Google Scholar 

  • Dorier, J-L. and Sierpinska, A. Research into the Teaching and Learning of Linear Algebra, this volume, pp. 255–274.

    Google Scholar 

  • Dreyfus, T. and Hillel, J. (1998). Reconstruction of Meaning for Function Approximation. International Journal of Computers for Mathematical Learning, 3, 93–112.

    Article  Google Scholar 

  • Hillel, J. (2000). Modes of description and the problem of representation in linear algebra. In J.-L. Dorier (Ed.), On the teaching of linear algebra, pp. 191–207. Dordrecht: Kluwer Academic Publishers.

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  • Muller, E. (2001). Reflections on the sustained use of technology in undergraduatemathematics education, this volume, pp. 381–394.

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  • Wilf, H. S. (1982). The Disk with a College Education. The American Mathematical Monthly, 89/1, 4–8.

    Google Scholar 

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© 2001 Kluwer Academic Publishers

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Hillel, J. (2001). Computer Algebra Systems in the Learning and Teaching of Linear Algebra: Some Examples. In: Holton, D., Artigue, M., Kirchgräber, U., Hillel, J., Niss, M., Schoenfeld, A. (eds) The Teaching and Learning of Mathematics at University Level. New ICMI Study Series, vol 7. Springer, Dordrecht. https://doi.org/10.1007/0-306-47231-7_33

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  • DOI: https://doi.org/10.1007/0-306-47231-7_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7191-5

  • Online ISBN: 978-0-306-47231-2

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