The fundamentals of algebra and algebraic thinking should be a part of the background of all citizens in society. The vast increase in the use of technology requires that school mathematics ensure the teaching of algebraic thinking as well as its use at both the elementary and secondary school levels. Algebra is a universal theme that runs through…

In fall 1996, California's Saddleback Community College began enforcing a prerequisite mathematics course for the college's Algebra (Math 8), Statistics (Math 10), and Trigonometry (Math 124) series. The 11 memoranda collected in this report present results from a study of the effects of enforcing the prerequisite on successful completion of the…

This collection of four papers deals with problem solving and the measurement of problem solving. "Climbing Up the Competence Ladder: Some Thoughts on Meaningful Assessment of Problem-Solving Tasks in the Classroom" by K. C. Cheung uses the metaphor of a competence ladder to represent the problem-solving continuum with progressive…

This publication compiles a series of 18 articles originally published in 1989-91 in the Arithmetic Teacher on implementing the National Council of Teachers of Mathematics (NCTM) K-8 curriculum standards. The articles and references in the bibliography are organized into five groupings: (1) "Themes That Cut Across Mathematics," covering…

This book contains papers that identify and clarify techniques and pedagogical approaches for using the history of mathematics in teaching. The chapters are separated into two sections, one containing 8 chapters about secondary school mathematics and the other containing 15 chapters on higher mathematics. The first section discusses topics such as…

Small-group cooperative learning provides an alternative to both traditional whole-class expository instruction and individual instruction systems. The procedures described in this volume are realistic, practical strategies for using small groups in mathematics teaching and learning with methods applicable to all age levels, curriculum levels, and…

This monograph presents seven papers on the research, and pedagogical aspects of developmental education and implications for a definition of developmental education. After an introductory paper by the editors, the papers are: (1) "The New Science: Connections with Developmental Education" (Dana D. Darby); (2) "Issues Affecting the Definition of…

This book provides applications for use in the secondary school mathematics curriculum by selecting related articles appearing in the "Mathematics Teacher" during the last 15 years. The articles are grouped into chapters that reflect the main secondary school mathematics courses and categorized by the highest level of mathematics needed…

This document contains the following papers on issues related to mathematics in technology and teacher education: "A Case for Strong Conceptualization in Technology Enhanced Mathematics Instruction" (Michael L. Connell and Delwyn L. Harnisch); "Faculty/Student Collaboration in Education and Math--Using the Web To Improve Student…

This collection of essays, which evolved from the Professional Lecture Series on Teaching and Learning and Instructional Workshops on Teaching and Learning held at the University of Colorado (Boulder), addresses a variety of styles and situations for teaching and learning. The following essays are included: (1) "Teaching as Architecture:…

This volume presents different issues and views on research in mathematics education in Australia. Chapters include: (1) "An Introduction to This Review" (Kay Owens); (2) "Recent Research Monographs" (Kay Owens and editors of the monographs); (3) "Language Factors in Mathematics Education" (Nerida Ellerton, Ken…

This guide contains practical steps for integrating portfolios into any K-12 classroom and tips for effective classroom management of portfolios. It also contains actual examples of portfolios in action in a variety of subject areas. The chapters are: (1) "Starting Out: Designing Your Portfolio" (James Barton and Angelo Collins); (2) "Preparing…

This collection of case studies of classroom experiences in middle and secondary schools throughout the European Community describes the use of computers in mathematics education. The 16 studies are organized in four main groups: (1) experience in geometry using educational software and Logo in grades 5-10; (2) arithmetic number concepts,…

This monograph presents a collection of papers that focus on excellence in teacher education and examine questions which are critical to the reform of curriculum and pedagogy. The 10 chapters are: (1) "Using a Multi-Dimensional Web Site for Physics Instruction" (James P. Downing and Ruwang Sung); (2) "College Algebra Reform:…

Integrating mathematics with other disciplines is an important issue for mathematics education. Writing is one such discipline that can be usefully integrated with mathematics instruction. This collection of essays on the use of writing to teach mathematics is an outgrowth of sessions of contributed papers presented at the 1988 and 1989 Annual…