Demonstrates how to construct rational, exponential, and sinusoidal functions that appear normal on one scale but exhibit interesting hidden behavior when viewed on another scale. By exploring these examples, students learn the importance of scale, window size, and resolution effects in computer and calculator graphing. (MAZ)

Stresses using the features of graphing calculators to teach parametric equations much earlier in the curriculum than is presently done. Examples using parametric equations to teach slopes and lines in beginning algebra, inverse functions in advanced algebra, the wrapping function, and simulations of physical phenomena are presented. (MAZ)

A mathematical model is used to represent a physical problem. The resulting polynomial is graphed and analyzed. Students are asked to plot families of related polynomial functions and observe patterns. A partial list of possible observations is included. End behavior, complete graph, and classroom use of technology are discussed. (GW)

This document presents the proceedings of the 17th Annual Research Forum held June 29, 2012, at Wake Forest University in Winston-Salem, North Carolina. Included herein are the following 25 action research papers: (1) "Reading and Writing": A Study Comparing the Strengths of Peer Review and Visible Author Writing Strategies (Elizabeth Behar); (2)…

Barriers to the implementation of technology-based materials in elementary school mathematics classrooms were studied using naturalistic inquiry and multiple methods of data collection in keeping with ethnographic principles. Qualitative data were gathered from interviews with teachers and administrators, reviews of school documents, observations…

This publication provides background information, ideas, and sample activities to help teachers in their efforts to aid students in developing problem solving skills. It provides an overview of the stages in the problem solving model recommended in the elementary mathematics program of studies. Several clusters of problem solving strategies are…

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…

This yearbook includes 28 articles related to teachers and students of mathematics education and their changing roles. Part 1, "New Perspectives on Teaching and Learning," focuses on the relationship between research and practice and suggests a perspective based on the belief that mathematical learning consists of students constructing…

This middle school mathematics unit is organized around themes relating to sports activities in the Boston (Massachusetts) region and has a content focus on decimals and percents. The activities follow a story line which features a sports reporter (the student) and his/her assignments and adventures. Each activity begins with a headline, defines a…

This document was written for several purposes, the first being to serve as an introduction to calculators. Calculator design, functions, and limitations are discussed. A second purpose for the text is to help elementary and middle school teachers to apply calculators in classroom settings, with a variety of suggestions and applications presented.…

This second booklet of a two-part publication, designed as an in-service tool for teachers of grades K-9, concerns the teaching and curriculum aspects of problem solving. It is a digest of selected topics integral to successful problem-solving instruction. The resource is organized into independent units for individual reference or group…

A representative sample of 237 twelfth-grade mathematics classrooms completed internationally developed achievement tests. What was taught, what teachers and teaching were like, students' attitudes and achievement, and comparisons with students in other countries are included. (MNS)

Technology has revolutionized the way mathematics and science are taught and few innovations in mathematics education have had as much impact as the graphing calculator. Fourteen classroom teachers were brought together during the summer of 1997 and during a week-long workshop, the teachers collaborated to develop a resource guide for integrating…

Presents several types of functions which fit a given set of data and create opportunities for classroom discussion comparing different kinds of functions and identifying some of the potential hazards associated with extrapolation from best-fit functions. (DDR)

Presents an activity in which students collect and organize data from a real-world simulation of the scientific concept of half life. Students collect data using a marble sifter, analyze the data using a graphing calculator, and determine an appropriate mathematical model. Includes reproducible worksheets. (MDH)