How the computer can become an integral part of mathematics learning at the junior high school level is discussed in terms of mathematics processes. The rationale for activities involving programmed processes and examples of them are given. (MNS)

When developing large computer-assisted instructional (CAI) courseware packages, it is suggested that there be more attentive planning to the overall package design before actual lesson development is begun. This process has been simplified by modifying the systems approach used to develop single CAI lessons, followed by planning for the…

A case is made for having two teachers work with each basic or remedial science or mathematics class; administrative arrangements are discussed. (DT)

The game of Sprouts is explained, and some elementary graph theory notions and techniques of game analysis are introduced. (DT)

Reasons for using games in the classroom are discussed and general suggestions for designing games are given. Directions for a trigonometry game and an algebra game are provided. (DT)

Patterns in decimal expansions are investigated. (DT)

This book brings together research and professional knowledge to enhance the teaching of lower attaining students in secondary mathematics. Attainment in mathematics is an important social issue, since underachievement can make a difference to future life choices, particularly amongst certain groups of students. This book shows how well-meant…

Equivalence of algebraic expressions is at the heart of transformational work in algebra. However, we know very little about students' understanding of equivalence. This study is part of a larger project that explores the use of CAS as a didactical tool for promoting both technical and conceptual growth in high school algebra with tasks specially…

This paper describes prospective secondary school mathematics teachers' images and definitions of inflection points. The data indicate that prospective teachers tended to regard f[prime](x)=0 and/or the location "where the graph bends" as necessary/sufficient conditions for inflection points. The solutions were based on previous…

A case study is presented on what is learned by a very advanced Math student in a ninth grade class (fifteen years old, approximately). This case was obtained from an exploratory study carried out in a classroom of eighteen students when the employment of certain cultural artifacts was introduced to approach the theme of basic geometrical…

The Purposeful Algebraic Activity Project is a longitudinal study of the development of pupils' algebraic activity in the early years of their secondary schooling. Here, we report on our empirical findings from the initial semi-structured interviews. We analyse the responses of three pairs of 12-year-old pupils to a range of algebra questions. In…

This paper explores the nature and status of the mathematics reform movement (focusing on California's initiatives) in America's public schools, the connection between the reform movement and constructivist epistemology, the development of an assessment tool for measuring the degree of reform present in a secondary mathematics classroom, and the…

This book is the third in a series of family math books whose aim is to involve parents and their children in middle school mathematics. All the activities contained in this guide are based on the National Council of Teachers of Mathematics (NCTM) Standards, and most activities involve several integrated math concepts rather than isolated skills.…

The National Committee on Mathematical Requirements was organized in the late summer of 1916 under the auspices of the Mathematical Association of America for the purpose of giving national expression to the movement for reform in the teaching of mathematics, which had gained considerable headway in various parts of the country, but which lacked…