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Peer reviewedDuncan, David R.; Litwiller, Bonnie H. – Two-Year College Mathematics Journal, 1973
The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Enrichment, Mathematics
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
Peer reviewedGordon, 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
