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Tiêu đề

Impossible Geometric Constructions: A Calculus Writing Project

Tác giả

Awtrey C.

Năm xuất bản

2013

Source title

PRIMUS

Số trích dẫn

DOI

10.1080/10511970.2012.715610

Liên kết

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873448314&doi=10.1080%2f10511970.2012.715610&partnerID=40&md5=e5e197aafe2be29d314c67793045a85c

Tóm tắt

This article discusses a writing project that offers students the opportunity to solve one of the most famous geometric problems of Greek antiquity; namely, the impossibility of trisecting the angle ?/3. Along the way, students study the history of Greek geometry problems as well as the life and achievements of Carl Friedrich Gauss. Included is a discussion of the project, common student difficulties, and a sample grading rubric. The materials have been successfully integrated into second-semester calculus courses at the author's home institution - a liberal arts university, where calculus class sizes average between 25 and 30 students. The project is also suitable for students of more advanced courses, such as geometry and abstract algebra. © 2013 Copyright Taylor & Francis Group, LLC.

Từ khóa

calculus; cubic polynomials; Euler's formula; Gauss; geometric constructions; history; Trisecting an angle; writing projects

Tài liệu tham khảo

Crannell A., How to grade 300 mathematical essays and survive to tell the tale, PRIMUS, 4, 3, pp. 193-201, (1994); The MacTutor History of Mathematics archive, Gauss biography; The MacTutor History of Mathematics archive, Trisecting an angle