ANZIAM J. 47(EMAC2005) pp.C934--C955, 2007.

Creating mathematical learning resources---combining audio and visual components

Elahe Aminifar

Anne Porter

Richard Caladine

Mark I. Nelson

(Received 16 March 2006; revised 4 May 2007)

Abstract

Students commencing science and engineering degrees at the University of Wollongong are given mathematics skills tests in the first and fourth weeks of session. An evaluation of the results from these tests indicate that the majority of students' basic mathematical skills were insufficient to adequately support the prescribed first year mathematics curriculum. To address this problem a pilot study was set up to develop video solutions. These solutions permit students to see the development of each solution in a step-by-step manner. An audio commentary on each worked solution assists learning by providing students with an explanation of the developing solution. Two methods of video capture were investigated. The first used eBeam, a system to capture pen strokes from a whiteboard. The second method used a video camera mounted on a copy stand. We describe the process by which the video solutions were recorded and describe the educational environment in which students accessed them. A preliminary analysis of the impact of this tool on the achievement of students is also presented.

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Authors

Elahe Aminifar
Anne Porter
Richard Caladine
Centre for Educational Development and Interactive Resources, University of Wollongong, Wollongong, Australia.
Mark I. Nelson
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, Australia. mailto:elaheaminifar@srttu.edu

Published July 30, 2007. ISSN 1446-8735

References

  1. M. Artigue, What can we Learn from Educational Research at the University Level, in The Teaching and Learning of Mathematics at University Level: An ICMI Study (ed. D. Holton) (Dordrecht: Kluwer, 2001) 207-220.
  2. F. Barrington, Participation in Year 12 Mathematics Across Australia 1995-2004, (ICE-EM Publications in Education No.2, 2006). http://www.ice-em.au/pdfs/Participation_in_Yr12_Maths.pdf.
  3. S. Britton, P. B. New, M. D. Sharma, and D. Yardley, A case study of the transfer of mathematical skills by university students, Internat. J. Math. Ed. Sci. Tech. 36(1) (Taylor & Francis, London, 2005) 1--13.
  4. J. Engelbrecht, A. Harding, and M. Potgieter, Undergraduate students' performance and confidence in procedural and conceptual mathematics, Internat. J. Math. Ed. Sci. Tech. 36(7) (Taylor & Francis, London, 2005) 701--712.
  5. S. Fadali, J. Johnson, J. Mortensen and J. McGough, Preliminary Results of an Online Mathematics Testing Program for Engineers, Electronic Proceedings of the Fourteenth Annual International Conference on Technology in Collegiate Mathematics, 2001. http://archives.math.utk.edu/ICTCM/EP-14/C1/pdf/paper.pdf
  6. G. Gaudry, Declining Year 12 Advanced Maths Enrolments Threatens National Capability, International Centre of Excellence For Education in Mathematics, 2006 http://www.ice-em.org.au/pdfs/Year_12_Maths_media_release.pdf.
  7. K. L. Jacobs, Investigation of interactive online visual tools for the learning of mathematics, Internat. J. Math. Ed. Sci. Tech. 36(7) (Taylor & Francis, London, 2005) 761--768.
  8. J. Johnson, A Comprehensive Online Mathematics Assessment, Placement and Exit Testing Program, Electronic Proceedings of the Fourteenth Annual International Conference on Technology in Collegiate Mathematics, 2002 http://archives.math.utk.edu/ICTCM/EP-15/C56/pdf/paper.pdf
  9. A. Kajander and M. Lovric, Transition from secondary to tertiary mathematics: McMaster University experience, Internat. J. Math. Ed. Sci. Tech. 35(2-3) (Taylor & Francis, London, 2005) 149--160.
  10. A. C. Lee Sing and C. A. Miles, The relative effectiveness of audio, video, and static visual computer-mediated presentations, Canadian Journal of Education 24(3) (1999) 212--221. http://www.csse.ca/CJE/Articles/CJE24-2.htm
  11. H. S. Luk, The gap between secondary school and university mathematics, Internat. J. Math. Ed. Sci. Tech. 36(2-3) (Taylor & Francis, London, 2005) 161--174.
  12. R. Mayer, Multimedia Learning, (Cambridge University Press, New York, 2001).
  13. R. Moreno and R. Mayer, Getting the message across: The role of verbal redundancy in multimedia explanations, (2001). http://www.unm.edu/ moreno/PDFS/AERA01-red.pdf
  14. C. L. Robinson and A. C. Croft, Engineering students---diagnostic testing and follow up, Teaching Mathematics and its Applications 22(4) (2003) 177--181. http://teamat.oxfordjournals.org/cgi/reprint/22/4/177
  15. A. Selden, New developments and trends in tertiary mathematics education: Or, more of the same?, Internat. J. Math. Ed. Sci. Tech. 36(2-3) (Taylor & Francis, London, 2005) 131--147.
  16. S. W. Veronikas and N. Maushak, Effectiveness of Audio on Screen Capture in Software Application Instructions, Journal of Educational Multimedia and Hypermedia 14(2) (2005) 199--205.
Copyright Austral. Mathematical Soc.; prepared July 30, 2007, from Aminifar.tex with anziamje.sty (v2.4)