Arithmetic drill problems which use number codes are suggested. (DT)

This article investigates the transformations which result when all variables and constants in given functions are allowed to be complex numbers. (DT)

A method for changing repeating decimals to fractions is explained. (DT)

A BASIC computer program is provided for producing the base ten digits of the known Mersenne primes and their associated perfect numbers. (DT)

The problem of zero divided by zero is discussed. (DT)

Two logic problems are analyzed. (DT)

This account of my extended conversation with a high school mathematics class focuses on voice and agency. I prompted the students daily to become ever more aware of their language practices in class. The tensions in this conversation proved parallel to the tensions in mathematics between individual initiative and convention, a tension that…

Despite mathematicians valuing the ability to visualize a problem and psychologists finding positive correlations of visual-spatial ability with success in mathematics, many educationists remain unconvinced about the benefits of visualization for mathematical understanding. This paper describes research that compared a "visual" to a "verbal"…

The Purposeful Algebraic Activity Project is concerned with the development of algebraic activity in pupils in the early years of secondary schooling. Here we report on the different ways in which we have observed children articulating generalisations during semi-structured interviews which are being used to gain snap-shots of this development. We…

Fairly large amount of research on students' conceptions of probability has been reported in the literature. Most of this work represents school students' reasoning of probability in individual setting. This study provides 8 secondary school mathematics preservice teachers' reasoning of probability in both individual and pair settings. Consistent…

This book presents motivational ways to teach key concepts and topics common to all secondary mathematics curricula. It is arranged by subject matter which includes algebra, geometry, trigonometry, probability, statistics, and miscellaneous topics. The objective to be attained by implementing the unit on each of these subjects is stated, and the…

This issue of Mathematics Education Dialogues focuses on the use of calculators in the mathematics classroom. The eleven articles on this theme include: (1) "Groping and Hoping for a Consensus on Calculator Use" (Zalman Usiskin); (2) "Let's Abolish Pencil-and-Paper Arithmetic" (Anthony Ralston); (3) "Do We Need Calculators?" (Kim Mackey); (4) "How…

Tac Tix is a board game for two players having a mathematical optimum strategy for play. The strategy can be discovered by application of general problem solving techniques. (JP)