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Mathematics Teacher

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Chinn, Phyllis Zweig	1
Schwartzman, Steven	1

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Inductive Patterns, Finite Differences, and a Missing Region.

Peer reviewed

Chinn, Phyllis Zweig – Mathematics Teacher, 1988

Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)

Descriptors: Creative Thinking, Induction, Logical Thinking, Mathematical Concepts

A Power Pattern.

Peer reviewed

Schwartzman, Steven – Mathematics Teacher, 1988

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)

Descriptors: Computer Assisted Instruction, Computer Oriented Programs, Computer Uses in Education, Mathematics Curriculum