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Richard J. Shumway

Are there measurable differences in general mathematics achievement, inductive reasoning, syllogistic reasoning, perceptual speed, and tendency to overgeneralize between groups learning mathematical concepts through the use of positive instances (C groups), and groups learning mathematical concepts through the use of both positive and negative instances (E groups)? 84 eighth grade mathematics students in 4 classes served as subjects for 65 days. Analysis of variance and covariance of pre- and posttest means yielded significant differences (p<.05) indicating that the E groups tended to overgeneralize less frequently than the C groups. No other differences in means were significant (p<.05). It appears that the use of negative instances may be a means for controlling the common error of overgeneralization.

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Richard J. Shumway

It has often been proposed that the Mathematics Teacher and the Arithmetic Teacher publish careful a rguments for and against a particular proposal to stimulate thought and air honest differences regarding issues relevant to the teaching of mathematics. Such pro and con discussions have been difficult to organize. At the risk of being accused of being on the wrong side of an issue by everyone, I would like to raise what appear to be the arguments proposed for and against the use of hand calcul ators in school mathematics.

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Richard J. Shumway

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Edited by Richard J. Shumway

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Edited by Richard J. Shumway

Here begins the first of a series of reviews of new metric materials related to school mathematics and mathematics teaching. We believe such a column is the appropriate response to the wide, general interest in metric materials and the large volume of metric materials currently being produced.

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Richard J. Shumway

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Richard J. Shumway

Teacher often ask me if I think computers are just another fad and will go the way of other “innovations” such as programmed learning, television. or behavioral objectives. My an wer has been, yes, if we use commercial software and use the computer to tell kids what to do. In my view. the principal value of computer rest in allowing students to write programs. There are some reasonable questions to ask, however.

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Richard J. Shumway

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Richard J. Shumway

According to Time (3 January 1983), the best-selling computers for 1982 were Timex-Sinclair, VIC-20. Tl 99/4A, Atari 400, TRS-80 (model III), Apple II Plus, Atari 800, and the IBM personal computer with sale ranging from 1 000 000 to 2000. Many ask me which computer I would recommend for use in chool. My first answer is that I like all of them, and I ask what they want to do with it in their school. Many would prefer a question not answered with a question—so here goes. As of today. 28 April 1983. here is what I would do.

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Richard J. Shumway