Due to the large number of students requiring developmental college math courses, a study was conducted to determine if a beginning algebra course focusing on function and integrating technology as a tool to explore mathematics would aid students with previously debilitating experiences in math. The study evaluated 92 students enrolled in…

This document contains the proceedings of a conference held at the U.S. Military Academy to consider the question of core requirements for the courses often employed by partner disciplines, what concepts and procedural skills are really central, and how these questions might lead to the creation of a new undergraduate set of requirements that meet…

These American Indian standards for mathematics were developed by the Bureau of Indian Affairs (BIA) for use by classroom teachers of American Indian students. They have been closely aligned with the 1989 "Curriculum and Evaluation Standards for School Mathematics," national standards currently in use in many BIA-funded schools. Each…

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, as well as regular features presenting book and software reviews and math problems. The first of two issues of volume 14…

There is evidence that structured cooperative logic is an effective way to introduce or reinforce mathematics concepts, explore thinking processes basic to both math and science, and develop the important social skills of cooperative problem-solving. This book contains a number of cooperative logic activities for grades K-4 in order to improve…

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…

A pentagonal model, based on the star model of function understanding of C. Janvier (1987), is presented as a framework for the design and interpretation of research in the area of learning the concept of mathematical function. The five vertices of the pentagon correspond to five common representations of mathematical function: (1) graph; (2)…

This research examines students' ability to work with algebraic variables and their notations as a result of the type of instruction they received, and places their work on scales that illustrate its location on the continuum from arithmetic thinking to algebraic reasoning. It presents data from pre- and post-instruction clinical interviews…

The second volume of the proceedings of 21st annual meeting of the International Group for the Psychology of Mathematics Education contains the following papers: (1) "The Dilemma of Transparency: Seeing and Seeing through Talk in the Mathematics Classroom" (J. Adler); (2) "Abstraction is Hard in Computer-Science Too" (D.…

This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra,…

This book is designed to help teachers in the elementary grades deepen their understanding of the mathematics they have to teach. It is based on the belief that teachers cannot teach what they do not understand well, and it addresses several fundamental questions: (1) What math concepts and skills are important in the elementary grades?; (2) Why…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

This document is a collection of eight games from four continents. Students use mathematics that is directly relevant to them as they take part in the games. The first five games (NIM, Kalah, Tower of Hanoi, Shongo Networks, and Magic Squares) feature presentation instructions that describe multiple-session classroom activities for grades 5-8.…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…