# Establishing a custom of proving in american school geometry: evolution of the two-column proof in the early twentieth century

@article{Herbst2002EstablishingAC, title={Establishing a custom of proving in american school geometry: evolution of the two-column proof in the early twentieth century}, author={Patricio G. Herbst}, journal={Educational Studies in Mathematics}, year={2002}, volume={49}, pages={283-312} }

Having high school students prove geometrical propositions became the norm in the United States with the reforms of the 1890's — when geometry was designated as the place for students to learn the ‘art of demonstration.’ A custom of asking students to produce and write proofs in a ‘two-column format’ of statements and reasons developed as the teaching profession responded to the demands of reform. I provide a historical account for how proving evolved as a task for students in school geometry…

## 132 Citations

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Abstract
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The dual nature of geometry, in that it is a theoretical domain and an area of practical experience, presents mathematics teachers with opportunities and dilemmas. Opportunities exist to link theory…

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