The life and work of J. J. Sylvester, a mathematician who developed the theory of determinants, are briefly described. (SD)

This paper illustrates a different conception of arithmetic, an arithmetic with reasons as well as rules. This arithmetic includes making connections between different representations and making sense of rules as well as using them. It provides a foundation for "Algebra the Web of Knowledge and Skill" in the sense that algebra can be…

This textbook, designed for at least one and one-half year's work in algebra, is intended for the use of those schools which find a one-book course best adapted to their needs. Experience thoroughly justifies a careful review at the beginning of the third half year's work. As the first twenty-three chapters contain the greater portion of the usual…

This textbook combines the material of the "New First Course in Algebra" and the "New Second Course in Algebra" in a form convenient for use in courses of more than a year in length. A large amount of review material is to be found at the point where the second year of work commences, since it was felt that there should be an…

The question of which aspects of a problem are hard to remember is addressed. A series of studies assessing the difficulty of representing various kinds of algebraic information in memory are presented. (Author/GK)

Findings of this study support the generalization that assigning letter grades based on standard deviations will not result in lower achievement than assigning grades based on absolute standards of achievement. (JC)