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Geometry Problems Promoting Reasoning and Understanding

Alfred Manaster, Beth Schlesinger 

February 1999, Volume 92, Issue 2, Page 114

The four related problems presented in this article provide examples of ways to include justifications of interesting mathematics in courses taught before a geometry course. This understanding requires that the students follow chains of reasoning that furnish convincing justifications of the correctness of the general results. The reasoning involves both algebra and geometry, but all the problems can be done before the student takes a formal geometry course.

Conceptual Development
Grades 9-12
Geometry & Measurement
Reasoning and Proof