This paper shows how inequalities can be utilized in reducing dimensionality of problems associated with the partition of unit fractions into the sums of two, three, and four like fractions. The need for such a reduction in this context stems from using a spreadsheet as a modelling tool. Activities described in this paper are grounded in standards…

This book consists of a series of activities aimed at providing a problem solving, hands-on approach so that students can experience concepts in algebra. Topics include ratio and proportion, patterns and formulas, integers, polynomials, linear equations, graphs, and probability. The activities come in the form of reproducible blackline masters…

Produces algebraic solutions by reducing the problems to equations and arithmetic solutions that do not use variables. Investigates how the arithmetic solution helps students better understand the problem before they approach it algebraically and how logic used in solving the problem arithmetically can be directly linked to the algebraic…

Presents an ancient method for solving quadratic equations from Jiuzhang Suanshu (Nine Chapters on the Mathematical Art). Includes several examples and exercises. (MM)

Presents an activity on solving equations of the form ax+b=Sqr(cx=d) using graphing calculators. (ASK)

Develops a method for visualizing the complex roots of a polynomial equation. Illustrates some quadratic or cubic polynomials and their solutions. (KHR)

Describes an instructional sequence that promotes student understanding of a coordinate system while simultaneously facilitating understanding of linear relationships. (Author/NB)

Presents an opportunity for students to become familiar with the fundamental premise of iteration for a new branch of mathematics that is known as chaos theory by using graphing calculators. (ASK)

Presents an activity on linear functions that is designed to help students become familiar with the graphs, equations, and tables of these functions while focusing on issues related to cost, revenue, and profit. (ASK)

This book seeks to develop, enhance, and expand students' understanding of mathematics by using technology. Topics covered include the advantages of spreadsheets along with the opportunity to explore the 'what if?' type of questions encountered in the problem-solving process, enhancing the user's insight into the development and use of algorithms,…

Presents four methods for solving a quadratic equation using graphing calculator technology: (1) graphing with the CALC feature; (2) quadratic formula program; (3) table; and (4) solver. Includes a worksheet for a lab activity on factoring quadratic equations. (KHR)

Introduces an activity that focuses on Hooke's law to implement and furnish applications of linear equations and graphing in a physical situation. (KHR)

Presents an activity for constructing and solving radical equations which can be done with or without the use of graphing calculators. Highlights one method that two students used to solve radical equations. (ASK)

Suggests a few alternative approaches to teaching algebra that allow students to construct and reflect upon meanings for expressions and equations. The three lessons, which require extended discussion and reflection, are "Representing Algebraic Expressions,""Evaluating Algebraic Statements," and "Generating Equations." (WRM)

Describes one teacher's effort to change the classroom environment in order to create student-directed exploratory learning. Presents a lesson in which students use the computer program Lesson Graph to study the effects of coefficients on linear equations. (ASK)