A hint is not always a help |
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| Authors: | Jacob Perrenet Wim Groen |
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| Institution: | (1) Institute of Teacher Training, University of Amsterdam, Herengracht 256, 1016 BV Amsterdam, The Netherlands;(2) Mathematics & Computer Science, Vrije Universiteit, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands |
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| Abstract: | This paper discusses the construction of hints for mathematical problems and their effectiveness. From a set of 15 non-standard problems on functions every problem was presented to a hundred ninth-grade students (age about 15). Hints might be used if necessary. Hint effectiveness was studied as a function of hint characteristics. The following results were obtained: Hints which stimulate concrete action are effective, if the action serves as a model for the required solution method. Hints which give only warnings against certain mistakes are ineffective. Hints which show a great part of the solution of a problem seem to be effective; however the solution was often reached with lack of understanding. The results are compared with results obtained by Trismen (1981, 1982). |
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