New approaches to the teaching of introductory algebraic concepts are discussed. Their use in the Approaching Algebra Numerically Project in some middle schools in Ohio is reviewed. Some implications for use in Australian schools are considered. (MNS)

Activities to extend the core curriculum through the study of the periodicity of rational numbers to help students develop calculator and research skills are presented. Four worksheets are included, to be used as discovery activities. A computer program is listed, as well as examples of periodic pictures. (MNS)

Provides an annotated list of references for educators on using computers in the classroom and for researchers in gathering background materials for the preparation of articles, grant proposals, and presentations. Focuses specifically on probability and computers. (ML)

The study sought to determine how integrating science and mathematics in a seventh-grade physics unit affected attitudes and achievement in science. Two above-average and two average classes were involved. Scientific attitudes of the average integrated group improved, as did achievement of the above-average integrated group. (MNS)

Some applications of ratio and proportion to scale drawing involving geometric figures are given. The activities or problems concern the earth and space, scale speeds, and the earth-moon system. (MNS)

Why games should be used in mathematics classes is discussed. Their advantages and use in teaching mathematics effectively are emphasized: to practice skills, to develop concepts, to build problem-solving strategies, and to motivate. (MNS)

Compared were the attributional patterns for success and failure in mathematics of 491 tenth-grade students in Papua New Guinea and Australia. Relatively few differences were found in the patterns of boys and girls or of high- and low-achieving students, but substantial differences were found between students in the two countries. (MNS)

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. Experiencing Mathematics, is a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures--thus "experience mathematics." The relevant nature of the…

This paper describes how a researcher developed task and four different data collection instruments provide evidence for the identification of various affordances of a technology-rich teaching and learning environment (TRTLE) that were perceived and/or enacted by Year 9 students in their solution of a linear function task utilising a graphing…

Prospective secondary mathematics teachers continue to lack images of "reformed" teaching. This investigation studied prospective teachers' development of reform-oriented teaching through Micro-teaching Lesson Study [MLS], an experience based on Japanese lesson study (Stigler and Heibert, 1999). A qualitative analysis of various data sources…

Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modeling, unify diverse content, call for different representations, and encourage students to look back at their work to…

This paper points up, in the case of a particular class discussion, the crucial role that the Trace tool could play as potential semiotic mediator for the notion of function. In particular, the episode we are presenting here want to show how the idea of trajectory developed through a specific sequence of activities, carried out in Cabri and…

This 15-minute VHS videotape introduces an interdisciplinary math, science, and language arts project for eighth grade. Students learn about and apply laws of motion, linear functions, and technical reporting as they design and present an ultimate roller coaster. The project is organized in five phases that generate knowledge about design…

The participation of women in graduate studies and mathematics-related careers remains a social and economic problem in the United States. Part of a larger study to understand this lack of participation, here we present preliminary findings of girls who are high achievers in middle grades mathematics. This interpretive study documents girls'…