The use of symbolic algebra in learning mathematics: the barrier from formal examination schemes

Authors

  • John Berry
  • Roger Fentem
  • Anna-Maija Partanen
  • Sirkka Tiihala

DOI:

https://doi.org/10.7146/nomad.v9i4.147151

Abstract

Using technology in the teaching and learning of mathematics requires, among other things, positive attitudes from students and teachers. In this study, two teachers helped design and then taught two courses of mathematics to four groups of upper secondary school students. Two of the student groups had full access to graphic calculators with symbolic algebra systems and the other two groups had full access to graphing calculators without symbolic algebra software. In this paper we report on the student attitudes and beliefs about using technology in their course within a curriculum that restricts its use in a ’final matriculation examination’. The outcomes suggest that integrated technology teaching impacts in a complex fashion on student attitude. The results of this study suggest that the nature of the assessment system which forms part of the curriculum influences the attitude towards rich usage of the technology.

References

Drijvers, P. & van Herwaarden, O. (2000). Instrumentation of ICT-tools: the case of algebra in a computer algebra environment. The International Journal of Computer Algebra in Mathematics Education, 7 (4), 255-275.

Guin, D. & Trouche, L. (1999). The complex process of converting tools into mathematical instruments: the case of calculators. International Journal of Computers for Mathematics Learning, 3, 195-227. https://doi.org/10.1023/A:1009892720043

Heid, M.K. (1988). Resequencing skills and concepts in applied calculus. Journal for Research in Mathematics Education 19, 3-25. https://doi.org/10.5951/jresematheduc.19.1.0003

Mayes, R.L. (1994). Implications of research on CAS in college algebra. International Derive Journal, 1 (2), 21-38.

Mayes, R.L. (1996). Current state of research in CAS in mathematics education. In J. Berry et al. (eds), The state of computer algebra in mathematics education (pp. 171-180). Bromley, Kent: Chartwell-Bratt.

National Council of Teachers of Mathematics, (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.

Palmiter, J. (1991). Effects of computer algebra systems on concept and skill acquisition in calculus. Journal for Research in Mathematics Education, 22 (2), 15 -156. https://doi.org/10.5951/jresematheduc.22.2.0151

Penglase, M. & Arnold, S. (1996). The graphics calculator in mathematics education: a critical review of recent research. Mathematics Education Research Journal, 8 (1), 58-90. https://doi.org/10.1007/BF03355481

Townend, M.S. & Watkins, A.J.P. (1994). Students should earn the right to use DERIVE and its utilities. International Derive Journal, 1 (3), 102-104.

Trouche, L. & Guin, D. (1996). Seeing is reality: how graphic calculators may influence the conceptualisation of limits. In L. Puig & A. Gutiérrez (eds.), Proceedings of the 20th Conference of the International Group for the Psychology of Mathematics Education, Vol. 4 (pp. 323-333). Universitat de València

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Published

2004-12-10

How to Cite

Berry, J., Fentem, R., Partanen, A.-M., & Tiihala, S. (2004). The use of symbolic algebra in learning mathematics: the barrier from formal examination schemes. NOMAD Nordic Studies in Mathematics Education, 9(4), 49–64. https://doi.org/10.7146/nomad.v9i4.147151

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Articles