This paper reports on a study attempting to link teaching practices to the educational achievement of secondary school students learning algebra for the first time. Results are presented. (Author/MT)

Geometric interpretations of algebraic statements are proposed, both to clarify the meaning of algebra and to encourage students to look for spatial or diagrammatic models. Binomial grids for several equations are illustrated. (MNS)

A possible method of derivation of prescriptions for solving problems, found in Babylonian cuneiform texts, is presented. It is a kind of "geometric algebra" based mainly on one figure and the manipulation of or within various areas and segments. (MNS)

Presents a problem, modified from a familiar situation, that would be suitable for high school students to investigate. The problem involves the properties of an array known as the odd triangle, which is made up of the odd counting numbers. (JN)

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)

Two specific cases involving Pascal's Problem of the Points are discussed, followed by a solution in the general case. (MNS)

Mental skills developed through the study of mathematics are identified, and ways in which this information can shape the role of teachers of algebra are suggested. (MNS)

Explores meanings of "generic" and "generality" as they are found both in everyday language and as they confront mathematics students. Considers everyday occurrences of the idea of generic (leading to the notion of a generic example of a class) and some ramifications in elementary algebra. (JN)

A method used by the ancient Babylonians to solve quadratic equations is presented. Illustrations are included from one Babylonian tablet. (MNS)

A number problem is presented and analyzed. (DT)

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)

A programming problem on calculating the roots of a quadratic equation is used to illustrate the inexactness of computation with a digital computer. (DT)

This article shows that the recognition of the dualities in equality (operator-equivalent) of the minus sign (unary-binary) and the zero (nullity-totality) during the transitional process from arithmetic to algebra by 12-13 year-old students constitutes a possible way to achieve the extension of the natural number domain to the integers. (Contains…

The study of linear functions is important as it provides students with their first experience of identifying and interpreting the relationship between two dependent variables. This paper, which builds on previous research, reports a study undertaken with 64 year 9 students from two Australian schools. Linear functions were introduced to these…