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

This article sketches the historical development of arithmetic and algebraic symbols. (SD)

The use of the programmable calculator is discussed for obtaining numerical solutions to equations. The program is listed and the method illustrated. (MP)

Presents an activity that explores the completion of squares from the geometric point of view. (ASK)

This investigation concerns student understanding of the concept of gradient. Six items are discussed from a series of tests constructed for Technical Education Council (TEC) qualification. It is concluded that confusion exists, and a summary of apparent student difficulties is presented. (MP)

A number of traditional topics covered in school mathematics are examined, their origins discussed, and justifications sought for teaching them today. (MP)

Presents worksheets for students to practice substituting whole numbers into fairly simple symbolic expressions. (MKR)

Presents six mathematical problems (with answers) which focus on: (1) chess moves; (2) patterned numbers; (3) quadratics with rational roots; (4) number puzzles; (5) Euclidean geometry; and (6) Carrollian word puzzles. (JN)

The problem of determining the distance that an object fell is analyzed. (DT)

Using an incorrect conjecture as a learning activity in mathematics is discussed. The example used is from transformation geometry. (DT)

The author argues that a knowledge of mathematical structure is only helpful to the high ability student. (MM)

Relates, in story form, how to make geometric and algebraic concepts more accessible to children by using one-dimensional grids. (MKR)