On January 26, 1895, British mathematician Arthur Cayley passed away. He was the first to define the concept of a group in the modern way and helped to found the modern British school of pure mathematics.
Mathematics as a Non-Superstition. Eleven math courses (in the playlists), from high school (precalculus) to early graduate school (functional analysis), taught in such a way that the student should be able to defend (almost) all statements against objection.
Playlist List (sorted by last added):
Course 4: Linear Algebra
Course 3: Calculus II (US)
Course 2: Calculus I (Another extra)
Course 7: Principles of Mathematical Analysis
Course 9: Basic Functional and Harmonic Analysis
Course 8: Fourier Analysis
Course 8: Complex Analysis
Course 6: Introduction to Analysis
Course 5: Differential Equations
Course 4: Multivariable Calculus
Course 3: Calculus II
Course 2: Calculus I
Course 1: Precalculus
C. Bergsten. Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, 2, стр. 153-160. Prague, Czech Republic July 16-21, (2006)
D. Carraher, A. Schliemann, и B. Brizuela. Proceedings of the XXV Conference of the International Group for the Psychology of Mathematics Education, (2001)
G. Davis, и M. Mcgowen. proceedings of the Annual Meeting of the 26th Annual Meeting of the International Group for the Psychology of Mathematics Education (PME), 2, стр. 273-280. Norwich, UK, University of Norwich, (июля 2002)