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Multiple Linked Representations and Calculator Behaviour: The Design of a Computer-based Pedagogy

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Harrop, A.G. (2003). Multiple Linked Representations and Calculator Behaviour: The Design of a Computer-based Pedagogy. Journal of Computers in Mathematics and Science Teaching, 22(3), 241-260. Norfolk, VA: AACE.
Retrieved from http://www.editlib.org/p/12791.

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Journal Information

JCMST

Journal of Computers in Mathematics and Science Teaching
ISSN 0731-9258
Volume 22, Issue 3, 2003
Association for the Advancement of Computing in Education (AACE)  Norfolk, VA

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Author

Andrew G. Harrop, University of Leeds, UK

Abstract

The mathematical problem solving ability of school children aged 12-13 years was assessed using the computer-based learning program ENCAL (Harrop, 2001, p. 97). The system helps children develop their concept of number and their skills with multiplication and addition with the help of a software calculator and some additional computer-based support. ENCAL is a novel method for improving the understanding of numerical structure in arithmetic through the use of computer- based multiple linked external representations. The system exploits three representations: iconic, calculator and datatree. Small-scale studies contributed to the design, and the results of a fi nal evaluation study showed that the graphical constructs used in ENCAL are benefi cial to understanding, suggesting that the approach can be usefully exploited in classroom mathematics education.

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