Assessing mathematics automatically using computer algebra and the internet

Teaching Mathematics and its Applications

Volumn 23, Issue 1, 2004, Pages 1-14

  Sangwin, Chris ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER ALGEBRA; COMPUTER-AIDED ASSESSMENT; CORE CALCULUS; FIRST YEAR; UNIVERSITY STUDENTS;

ALGEBRA;

EID: 33751583755     PISSN: 02683679     EISSN: 14716976     Source Type: Journal    
DOI: 10.1093/teamat/23.1.1     Document Type: Article

References (18)

1. Sangwin, C. J. (2002) Assessing higher skills with computer algebra marking. JISC Technology and Standards Watch, TSW 02-04, September 2002. http://www.jisc.ac.uk/techwatch/ (viewed September 2002).
2. Klai, S., Kolokolnikov, T. & Van den Bergh, N. (2000) Using Maple and the web to grade mathematics tests. In Proceedings of the International Workshop on Advanced Learning Technologies, Palmerston North, New Zealand, 4–6 December, 2000.
3. Strickland, N. (2002) Alice interactive mathematics. MSOR Connections, 2, 27–30. http://ltsn.mathstore.ac.uk/newsletter/feb2002/pdf/aim.pdf (viewed December 2002).
4. Hermans, D. F. M. (2002) Embedding intelligent web based assessment in a mathematical learning environment. In Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC2002), Internet Accessible Mathematical Computation 2002 workshop, Lille, July 2002.
5. Gibbs, G. (1999) Using assessment strategically to change the way students learn. In Assessment Matters in Higher Education: Choosing and Using Diverse Approaches. Society for Research into Higher Education & Open University Press, pp. 41–53.
6. Crawford, K., Gordon, S., Nicholas, J. & Prosser, M. (1998) Qualitatively different experiences of learning mathematics at university. Learning and Instruction, 8, 455–468.
7. Pointon, A. & Sangwin, C. J. (2003) An analysis of undergraduate core material in the light of hand held computer algebra systems. International Journal for Mathematical Education in Science and Technology, 34(5), 671–686.
8. Smith, G., Wood, L., Coupland, M. & Stephenson, B. (1996) Constructing mathematical examinations to assess a range of knowledge and skills. International Journal of Mathematics Education in Science and Technology, 27, 65–77.
9. Sangwin, C. J. (2003) New opportunities for encouraging higher level mathematical learning by creative use of emerging computer aided assessment. International Journal for Mathematical Education in Science and Technology, 34(6), 813–829.
10. Dahlberg, R. P. & Housman, R. P. (1997) Facilitating learning events through example generation. Educational Studies in Mathematics, 33, 283–299.
11. Watson, A. & Mason, J. (2002) Student-generated examples in the learning of mathematics. Canadian Journal for Science, Mathematics and Technology Education, 2, 237–249.
12. Watson, A. & Mason, J. (2002) Extending example space as a learning/teaching strategy in mathematics. In Proceedings of the Annual Conference of the International Group for the Psychology of Mathematics Education (PME26, Norwich, United Kingdom), Volume 4. pp. 378–385. Cockburn A. O. and Mardi E. (Editors).
13. Moore, R. C. (1994) Making the transition to formal proof. Educational Studies in Mathematics, 27, 249–266.
14. Knuth, D. E. (1969) The Art of Computer Programming, Volume 2: Seminumerical Algorithms. Addison-Wesley, 1969. pp 171 and exercises on pp 176, 177 and 179, Reading, Massachusetts.
15. Sangwin, C. J. (2002) Encouraging higher level mathematical learning using computer aided assessment. In Proceedings of the International Congress of Mathematicians Satellite Conference on Mathematics Education, Lhasa, Tibet, August 12–17, 2002.
16. Tall, D. O. & Vinner, S. (1981) Concept image and concept definition in mathematics, with special reference to limits and continuity. Educational Studies in Mathematics, 12, 151–169.
17. Selden, A. & Selden, J. (1992) Research perspectives on concepts of functions. In Harel, G. and Dubinsky, E. (eds), The Concept of Function, Volume 25 of Mathematical Association of America Notes. Mathematical Association of America, pp. 1–16.
18. Mason, J. (1989) Mathematical abstraction as the result of a delicate shift of attention. For the Learning of Mathematics, 9, 2–8.