Non-traditional theorems unfolding

Abstract

The purpose of this paper is to provide examples of ‘non-traditional’ proof-related activities or theorems that can be explored through paper folding by university and high-school students. These theorems were encountered through playful acts of paper folding by the author. The author used these activities successfully with preservice teachers. The paper contains proof outlines for each theorem.

Keywords:

• paper folding
• proofs
• geometry
• reasoning
• justification

Acknowledgements

The author would like to thank the members of the Reviewing Committee for providing significant feedback. The author also thanks Mr. Marvin E. Mears (Marky), from Valdosta State University, Georgia, USA, for reading the manuscript and providing feedback.