Multiple Representations of Mathematical Reasoning

David J. McArthur, Christopher Burdorf, Tor Ormseth, Abby Robyn, Cathy Stasz

ResearchPublished 1988

Multiple alternative representations of mathematical reasoning have interesting applications in the context of an intelligent tutor for basic algebra. This Note describes the notion of multiple representations at a general level. It then describes RAND's intelligent algebra tutor and specific tools it contains that support multiple representations: a boxes-and-weights tool and goal commands. These tools provide students with important learning opportunities. The Note concludes with comments about continuing research in this area. It is important to continue implementing different representational systems and testing them in real educational contexts. In addition, theoretical work must be directed toward deriving a general classification scheme for representations.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1988
  • Print Format: Paperback
  • Paperback Pages: 26
  • Paperback Price: $20.00
  • Document Number: N-2758-NSF/RC

Citation

RAND Style Manual
McArthur, David J., Christopher Burdorf, Tor Ormseth, Abby Robyn, and Cathy Stasz, Multiple Representations of Mathematical Reasoning, RAND Corporation, N-2758-NSF/RC, 1988. As of September 16, 2024: https://www.rand.org/pubs/notes/N2758.html
Chicago Manual of Style
McArthur, David J., Christopher Burdorf, Tor Ormseth, Abby Robyn, and Cathy Stasz, Multiple Representations of Mathematical Reasoning. Santa Monica, CA: RAND Corporation, 1988. https://www.rand.org/pubs/notes/N2758.html. Also available in print form.
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