Exploring the numerical nature of quadratic equations is the focus of this article. Small solutions, the general case, and a detailed analysis are each presented. (MNS)

The properties of the cube are explored. A set of activities is given that forms the basis of a class project on discovery. (MNS)

The computer simulation game "Curve-Fit" is described. Its overall objective is to fit curves to six different data sets by estimating the parameters of each curve. (MNS)

The development and role of algebra in the curriculum are traced historically. The slow development over centuries is emphasized. (MNS)

Comments on bells throughout history are noted. 'Change-ringing,' focusing on the sequence in which bells are rung, is then explored. (MNS)

A brief review is given of some recent investigations into the use of mathematics in industry. Questionnaires and observations are each discussed plus the development of curriculum materials in several projects. (MNS)

Examples are given of how calculator-sized pocket computers, which can receive, store, and execute BASIC programs, can be used in mathematics classrooms. (MNS)

Difficulties experienced by algebra students are listed, with comments on what can be done and some implications for teaching. (MNS)

Some activities with tangrams and their use for investigating fractions, constructions, and percentages are presented, with worksheets included. (MNS)

This discussion paper stresses the validity and usefulness of a full range of assessment practices as an integral part of the learning and teaching of mathematics. (PK)

Describes a game originally published by the Australian Association of Mathematics Teachers (AAMT) as a chance and data activity. Includes a variety of modifications and extensions of the board game, and a discussion on the use of an empirical approach as an access issue. (DDR)

Discusses the accuracy of sundials and many factors which affect their ability to measure apparent local time. Provides directions for constructing a sundial, including how to make a universal dial. Includes background information regarding other types of sundials and descriptions of notable sundials. (DDR)

Argues that genuine problem solving and investigation on the part of pupils rarely occurs in mathematics classrooms in Hong Kong and other Asian countries. Provides a rationale for drawing problems from the content of a curriculum or syllabus. (DDR)

Argues that the challenge for teachers of algebra in Australia is to find ways of making the structural aspects of algebra accessible to a greater percentage of students. Uses the zero product principle to provide an example of a common student error grounded in the difficulty of understanding the structure of algebra. (DDR)

Discusses a commonly held misconception that in the throwing of two dice, if a total of seven does not come up for a period of time then its appearance is imminent. Describes an experiment to disprove the misconception and includes a discussion of the theory that frames the results. (DDR)