Carousel Numbers. A Lead-in to Number Theory
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|Gary Klatt; Univ. of Wisconsin - Whitewater; The Math Forum|
|A connected series of four problems in elementary number theory that are ideal for discovery learning at several levels. Each problem generates interesting questions and conjectures, and their surprising connections add interest and allow each to shed light on the others. That some questions are open adds challenge. Contents: Carousel Numbers; Periods of Decimals; One Numbers; The Group of Units mod n; The Big Connecting Theorem; Partial Carousel Numbers; References. A presentation of this article was given at the Joint Mathematics Meetings, January 10-13, 1996, in Orlando, Florida.|
|Levels:||High School (9-12)|
|Math Topics:||Number Theory|
|Math Ed Topics:||Constructivism|
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