We report on a group theory activity in which learners explored dihedral symmetries through a tangible geometric model. This approach has historical roots in the work of Felix Klein's Erlangen Program and his "Elementary Mathematics from an Advanced Standpoint." We situate our study with respect to this history as well as current…

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

A game for the HP-25 programable calculator is discussed. The objectives of the game are to introduce angle measurement and the rudiments of trigonometry. A program for the game is given. (MP)

Changes in the elementary and junior high school mathematics curriculum that have occurred in the last 20 years and that may occur in the future are discussed. (MK)

Included are four learning activities that focus on using and interpreting data as a basis for integrating mathematics, science, and sports. Each activity includes grade level, objectives, materials, directions, answers to questions, extensions, and reproducible handouts. (KR)

This document is designed to assist administrators and teachers in planning, developing, and implementing grades K-9 mathematics programs and to provide some guidelines for grades 10-12 instruction. It is intended to provide a philosophical foundation and curricular framework from which educators may construct a comprehensive local program to meet…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the early…

This document provides a description of the competitions involved in the Mathematics Olympics held in the Springfield Public Schools (Missouri). It provides descriptions of the team events (which involved a scavenger hunt, computers, and computations) and the individual events (which involved applied geometry, calculators, conversion from ratio to…

Presents practical, teacher-tested tools and techniques based on National Council of Teachers of Mathematics (NCTM) standards for teaching mathematics. Covers Cognitively Guided Instruction (CGI) technique; story problems across the curriculum; advantages of using calculators in instruction; and manipulatives for plane geometry. Includes a chart…

This document aims to assist teachers, curriculum specialists, and other educators in their endeavors to improve their K-12 mathematics education programs. This is a companion document to the "Michigan Essential Goals and Objectives for Mathematics Education." The document illustrates the integration of mathematical content with process…

Recognizing that the teacher is the key to improving any mathematics program, this volume examines the responsibility of primary school teachers for the mathematics component of the curriculum and the implications thereof for teacher education. The first two chapters focus on the responsibilities of teachers of primary mathematics and contemporary…

The mathematics curriculum provides a framework of instruction for exceptional child education in grades K-12. Content areas include: numeration, whole numbers, rational numbers, real/complex numbers, calculator literacy, measurement, geometry, statistics, functions/relations, computer literacy, and pre-algebra. The guide is organized by content…

Includes a list of research summaries and annotations of articles and dissertations listed by author within each category. Grade or age levels are indicated for each level. Articles and dissertations are indexed by mathematics education topics, and a list of the journals covered is included. Over 400 references are cited. (MDH)

This book serves as a guide for Australian parents who want to take an active role in the mathematics learning of their children. It presents material so that families will learn, think, and talk about mathematics. Many family-life lessons, such as weighing out ingredients for a cake or choosing the best route to the zoo, are presented. The book…

The Calculators and Mathematics Project, Los Angeles (CAMP-LA), funded by the National Science Foundation for developing use of technology in the classroom, developed curriculum materials focused solely on the use of calculators in three stages. The first stage studied the mathematics curricula from different states and identified topics that are…