Chapter

The Reform Coach

in Masters of Theory

Published by University of Chicago Press

Published in print July 2003 | ISBN: 9780226873749
Published online March 2013 | e-ISBN: 9780226873763 | DOI: http://dx.doi.org/10.7208/chicago/9780226873763.003.0002
The Reform Coach

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The emergence of private teaching has rightly been linked, albeit implicitly, to the combined effect of the introduction of written examinations in mathematics coupled with the lack of willingness on the part of the public and college teachers in the university adequately to prepare the most ambitious students to compete in such examinations. This chapter reveals a new and previously unexplored relationship between private teaching and the analytical revolution of the 1810s and 1820s. The introduction of Continental analysis to Cambridge has been widely studied by historians of mathematics, but very little attention has been paid to the mechanisms by which the new techniques were actually popularized and propagated within the university. A careful study of the people, techniques, and strategies by which the revolution was practically accomplished highlights two very significant points: first, that it was private tutors who actually mastered and taught the d-notation calculus and other analytical methods in Cambridge; and, second, that it was only during this transitional period that private tutors displaced the officially appointed teachers of the university to become the guardians of the intellectual elite.

Keywords: Cambridge; private teaching; continental analysis; university; analytical methods

Chapter.  27867 words.  Illustrated.

Subjects: History of Science and Technology

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