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O'Brien, Thomas C.; Shapiro, Bernard J. – Journal for Research in Mathematics Education, 1977
Elementary School Teachers were instructed on finding number patterns in a figure in one of three groups: individual discovery, group discovery, and expository. They were tested for recall, retention, and transfer. The expository groups did better on recall, but group discovery was more effective for retention and recall. (SD)
Descriptors: Discovery Learning, Educational Research, Elementary School Teachers, Higher Education
Lucas, John F. – MATYC Journal, 1978
The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)
Descriptors: College Mathematics, Geometry, Higher Education, Induction
Gardner, Martin – Scientific American, 1979
This is a not-so-serious discussion of accidental patterns involving chance patterns between mathematics and natural laws and accidental patterns involving the numbers "pi" and "e." (Author/SA)
Descriptors: Educational Games, Higher Education, Instructional Materials, Mathematical Enrichment

Gordon, Sheldon P. – Mathematics and Computer Education, 1992
Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Discovery Learning

Woodward, Ernest – Arithmetic Teacher, 1991
Reports unique solutions given to five problems from individual students in mathematics courses for prospective elementary school teachers oriented toward problem solving. Concludes that such courses are feasible, promote problem-solving abilities and strategies, and develop appreciation and confidence in preservice teachers. (MDH)
Descriptors: Elementary Education, Elementary School Teachers, Higher Education, Learning Strategies