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ANZIAM J. 47(EMAC2005) pp.C524--C540, 2007.

Authentic assessment for advanced undergraduate students

D. G. Mallet

(Received 6 October 2005; revised 3 August 2006)

Abstract

A novel assessment program was implemented in an upper level mathematical modelling subject for a small group of advanced undergraduate students of applied mathematics and engineering. The students were all enrolled in undergraduate degree programs at the selective private colleges, Harvey Mudd College and Pitzer College, in California. The subject was called Mathematics and Sport and introduced the students to various techniques and strategies of mathematical modelling and related research using a number of interesting applications of mathematics to sports. The assessment program was designed to provide the students with authentic activities preparing them for their future work as graduate students and researchers. The program included a mock ``conference day'' for which students prepared papers and presented a seminar. The written paper and the seminar were scaffolded by instruction in such writing and presentation as well as activities to encourage free thinking and creative interpretation of problems throughout the semester. The assessment scheme proved to be both popular with students and effective, in that continuous components prepared the students for the requirements of terminating assessment items. The students' papers proved to be well-written, thoughtful and, to some extent, illustrated the students' development as researchers over the course of the subject. Unfortunately, the oral presentations were not of the same high standard for a number of reasons including the level of instruction in this subject and also previous experience in presenting orally. This article offers a description of the novel assessment program and the results of its implementation in order to provide guideposts for others confronted with similar student groups.

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Authors

D. G. Mallet

School of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia and Department of Mathematics, Harvey Mudd College, Claremont, CA, USA. http://www.maths.qut.edu.au/profiles/mallet/

Published January 5, 2007. ISSN 1446-8735

References

1. J. A. Arter, V. Spandel and R. Culham. Portfolios for assessment and instruction. ERIC Digest [online] http://www.ericfacility.net/ericdigests/ed388890.html, 1995.
2. American Mathematical Association of Two-Year Colleges. Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus. ed. Don Cohen. [Online] http://www.imacc.org/standards/copyright.html.
3. M. A. Barksdale-Ladd and K. F. Thomas. What's at stake in highstakes testing: teachers and parents speak out, Journal of Teacher Education, 51, 2000, 384--397. doi:10.1177/0022487100051005006
4. P. A. Brosnan and M. D. Hartog. Approaching standards for mathematics assessment. [Online] http://library.educationworld.net/a9/a9-116.html, 1993.
5. G. Hart, J. Bowden, and J. Watters. Graduate Capabilities: A framework for assessing course quality. Higher Education in Europe, 24(2), 1999, 301--308. http://eprints.qut.edu.au/archive/00001587/
6. Harvey Mudd College. Highlights. [Online]. http://www.hmc.edu/highlights/, 2003.
7. S. Messick. Validity. In R. L. Linn, editor, Educational Measurement, 3rd ed., American Council on Education, New York, 1989.
8. T. Pandey. Authentic mathematics assessment. Practical Assessment, Research & Evaluation, 2(1) 1990 [Online] http://PAREonline.net/getvn.asp?v=2&n=1.
9. Quality Assurance Agency for Higher Education (QAAHE). Subject Review Report: University of Warwick --- Mathematics, Statistics and Operations Research. [Online]. http://www.qaa.ac.uk/revreps/subj_level/q87_01_textonly.htm.
10. Saskatchewan Education. Mathematics 10,20: A curriculum guide for the secondary level. Regina, SK: Saskatchewan Education, 1995. http://www.sasked.gov.sk.ca/docs/secmath/secmath.html
11. G. Wiggins. The case for authentic assessment. ERIC Digest [Online]. http://www.ericfacility.net/ericdigests/ed328611.html, 1990.