Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

In this note the authors investigate ways to shorten the amount of work involved in using the Rational Roots Theorem to find the rational roots of a polynomial with integral coefficients. The first result is a proof of a fact that we had long suspected, but were never able to find the statement of in any of the college algebra textbooks we had…

In the preparation of this textbook, no pains have been spared by the author to obtain from the best sources, such as the later treatises in highest repute, memoirs of scientific bodies, and mathematical journals in English, French, and German, the materials for a book suited to the present state of mathematical science and the wants of teachers…

This textbook furnishes abundant material for an intelligent review of the mathematics given in a large number of high schools, and it is the hope of the authors that other teachers may find the book useful in the hands of their pupils. The first-year review is intended to cover the work ordinarily done in the first-year mathematics course of the…