This book contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. The authors…

Explores the ramifications of two three-year-long experiences with different pedagogical approaches to beginning algebra. Focuses on differences in the nature of subject matter understandings and explores the impact on the teacher to support students' classroom exploration of mathematical ideas. (Contains 58 references.) (Author/ASK)

This report offers California college faculty a closer look at contextualized teaching and learning (CTL) as a promising set of strategies and practices that can be expanded through the state's Basic Skills Initiative. The report is relevant to a range of instructional and counseling faculty, including academic and career and technical education…

This book is a collection of activities designed to complement an Algebra I program that features cooperative learning. The activity descriptions contain learning outcomes, the National Council of Teachers of Mathematics (NCTM) standards addressed in the activity, a suggested time frame for the activity, assessment opportunities, materials…

This paper suggests a route to deep, long-term algebra reform that begins not with more new approaches but with elementary school teachers and the reform efforts that currently exist. This route involves generalization and expression of that generality using increasingly formal languages, beginning with arithmetic, modeling situations, geometry,…

A method used in teaching abstract algebra is described; it could be applied to other classes. Students play a more active part in their own education by helping to select, prepare, and present material to the class. (MNS)

The article details an instructional procedure (based on the effective instruction research) to enable learning disabled adolescents to master three types of algebraic word problems: relational problems, proportion problems, and problems with two variables and two equations. (Author/DB)

This paper presents some ideas on how to utilize TI-83 Plus calculators to perform division of one polynomial (the divided) by another polynomial (the divisor) and how that procedure might be incorporated into a college algebra lesson. Four ways to obtain the quotient and remainder when dividing a polynomial by a first-degree polynomial are…

The topics of angle construction, angle trisection, and regular polygon construction with only a straightedge and compass are discussed for angles with integer measure. (MP)

Presents a technique that helps students concentrate more on the science and less on the mechanics of algebra while dealing with introductory physics formulas. Allows the teacher to do complex problems at a lower level and not be too concerned about the mathematical abilities of the students. (JRH)

This article provides step-by-step instructions for teaching secondary students with disabilities in inclusive settings how to solve beginning algebra problems, such as give an advance organizer, describe and model, conduct guided practice, conduct independent practice, and provide feedback. Ideas for providing independent practice and using…

This article first reviews the literature on the algebra performance of students with learning disabilities and provides reasons for their common difficulties. Some specific pedagogical practices are recommended, such as the use of the sequence concrete to representation to abstract. Suggestions for improving textbooks are also offered. (Contains…

Three approaches for teaching students to solve inequalities involving absolute values, quadratic expressions, and rational expressions are illustrated. Then one technique that can be used with all of these problems is presented. (MNS)

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…

Describes a process for creating a more diverse set of experiences for undergraduate students in mathematics by focusing on linear algebra. Emphasizes that the diversity of the activities is generated in part through the use of a taxonomy that addresses the nature of the activities rather than a hierarchy of levels of difficulty. Contains 13…