In this paper, we consider the issues involved in creating appropriate problems for a popular mathematics competition, and how such problems differ from problems typically encountered in a classroom. We discuss the differences and similarities in school curricula versus the generally agreed upon topics encountered in international competitions.…

This book focuses on integrity throughout the PhD journey and beyond, and is organised around two main themes: (1) integrity in relation to the capabilities developed by doctoral candidates for professional practice; and (2) integrity and coherence at the PhD system level. The working methods of key participants such as PhD candidates,…

Charles Dodgson (Lewis Carroll) discovered a "curious" method for computing determinants. It is an iterative process that uses determinants of 2 x 2 submatrices of a matrix to obtain a smaller matrix. When the process ends, the result is the determinant of the original matrix. This article discusses both the algorithm and what may have led Dodgson…

What are textbooks that teach? How can they help solve pedagogical problems? How can their pedagogical design be improved? These questions were used to develop a problem-solving model of textbook design. Textbooks that teach evoke learner activities designed to achieve contemporary cognitive goals. Suggestions for using textbooks to help solve…

Discusses the use of autobiography and personal memoirs as teaching tools in the history classroom. Presents information from Henry Watterson's autobiography that discusses the life of Jane Cazneau. Points out flaws in which incorrect information is presented as true. Includes a complete lesson plan for use with the example. (DK)