This book was written as a resource for middle and high school teachers hoping to ease their students' transition to algebra. Drawing on experiences with three professional development programs, key "habits of thinking" that characterize the successful learning and use of algebra are outlined. Strategies teachers can use to cultivate…

This tutorial presents a geometric proof done by sketch to compose a square or equilateral triangle from four small boards. It then converts the procedure into a series of 12 drawing steps with Geometer's Sketchpad. The complete Geometer's Sketchpad file of this demonstration is located at: http://poncelet.math.nthu.edu.tw/chuan/dissect/2dud.html.…

The computer can be used as a tool to represent and communicate geometric knowledge. With the appropriate software, a geometric diagram can be manipulated through a series of animation that offers more than one particular snapshot as shown in a traditional mathematical text. Geometric constructions with the computer enable the learner to see and…

This document presents keystrokes for the Texas Instrument (TI-83) graphing calculator. After presenting some basic TI-83 keystrokes, activities for student practice are listed. This is followed by keystrokes for TI-83 advanced functions such as evaluating function values, finding the zero of a function, finding the intersection of two graphs,…

In the early 1980s, American College Testing (ACT) saw a need for a system that would respond to the planning and assessment needs of students, parents, teachers, and administrators, and conducted an extensive review of what was being taught in American schools from grade 7 through college-sophomore level in order to identify the important…

This resource book, written for mathematics teachers and school library media specialists, provides Web resources that promote critical thinking in the high school mathematics classroom. It consists of 153 activities that address topics in prealgebra, algebra, geometry, precalculus, calculus, probability, and statistics. Each activity has a…

This paper is designed to show how graphics display calculators can be used to analyze data. The paper describes a classroom activity, where students calculate a linear regression on a data set and answer questions related to the regression. Teaching notes, a full solution, and calculator instructions are included as are blackline masters. (MM)

This textbook is a course in elementary arithmetic. It stresses mental as well as written exercises. Addition and subtraction are first presented together, and later multiplication and division.

Presents a variety of mathematical games from all over the world using pen and paper, or single-board setups. (ASK)

Presents an activity to teach piecewise functions using wax paper and rectangular grids. Helps students understand the idea of different pieces by literally "piecing" together a new type of mathematical function. Also describes a followup activity and explains how piecewise functions can be graphed using graphing calculators. (NB)

Presents five guided activities that use a graphing calculator to help students discover the fundamental theorem of algebra. Includes student worksheets and illustrates solutions. (KHR)

Presents a sample of Probability Carnival activities and suggests how they might be adapted for the classroom. (KHR)

Investigates the heart of the experience of mathematical engagement and the meaning derived from such activities. Analyzes dialogue between five people, two of whom are professional mathematicians, another two who are graduate students in either engineering or education, and one who lacks advanced mathematical training but maintains a positive…

Describes how one kindergarten classroom made pictographs and paper graphs of the students' acting preferences for a production of "The Wizard of Oz." Focuses on how the activity led to varied mathematics and literacy connections. Identifies implications from the Oz experience, including relating graphs to classroom contexts, using…

Emphasizes the commonalities among classes of polynomial functions. Provides exploratory activities for students as well as a teacher's guide. (KHR)