Revisiting Proof Without Words Using Color Coding

[摘要] Proofs without words are generally formulas, pictures, or diagramsthat help the reader see why a mathematical statementmay be true, and how one could begin to go about proving it.It is the purpose of this article to revisit an elegant, but mostlyneglected, pedagogical approach to teaching geometry. Theproblems presented here, although elementary, are designedfor pre-service and in-service teacher education classes whereteachers learn “how to teach, not, what to teach.” By trading‘rigor’ for ‘applicability’ it is hoped that this techniquecan inspire grade-school educators to use these in their classrooms.

[学科分类] 社会科学、人文和艺术（综合）

[关键词] Euclidean geometry;proof without words;dynamic research;mathematics;pedagogy.