Halford, G.S., and G.M. Boulton-Lewis. "Value and limitations of analogs in teaching mathematics." 3rd Annual Conference of the European Association for Research on Learning and Instruction, 1989.

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An Analogical Reasoning Based Mathematics Tutoring System - Spiers (1996)   (Correct)

....problems can be solved by analogy. MacDonald, 84] has shown that rudimentary mathematics can be taught effectively via analogical reasoning. MacDonald s experiments did not involve algebra; he concentrated on basic mathematical operations on integers, fractions and decimals. However, Halford and Boulton Lewis, 89] point out that there are limitations to how far analogies can be used for such purposes. According to Gentner s theory [Gentner, 83] analogies entail a structure preserving mapping from a base to a target, and Chapter 2 : Analogical Reasoning 21 Halford and Boulton Lewis suggest that the reason ....

Halford, G.S., and G.M. Boulton-Lewis. "Value and limitations of analogs in teaching mathematics." 3rd Annual Conference of the European Association for Research on Learning and Instruction, 1989.

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