The National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards puts great stress on the mathematical processes of problem solving, communication, reasoning, and making connections. NCTM standards also emphasize new and emerging content areas for middle school students such as algebra, data analysis, and probability.…

Discusses the different learning styles of gifted middle-school males and females in single-sex algebra classes. Discusses the barriers faced by girls in mathematics courses and the benefits of providing girls with opportunities to think and problem solve in an environment less permeated with societal expectations of femininity. (CR)

Multi-line-multi-operation calculators such as the TI-80 provide eighth-grade prealgebra and algebra students with significantly better computational tools for basic order-of-operation problems involving integers and signed rational numbers than do calculators offering only last-entry-or-result displays. Effects are more apparent for weaker…

Describes an activity using M&M's in an algebra class after instruction in solving equations that actively involves students in identifying the variable, formulating an equation, then solving the equation. (AIM)

This teaching unit is designed to help students in grades 5 to 8 explore the concepts of patterns, functions, and algebra in the context of propelling spacecraft. The units in the series have been developed to enhance and enrich mathematics, science, and technology education and to accommodate different teaching and learning styles. Each unit…

Explores relationships among enrollment in algebra or a foreign language in eighth grade, level of mathematics or foreign-language courses taken in high school, and application to a four-year college or university. (Author/SLD)

Diagnoses of students' performance on procedural mathematical tasks need to display a certain level of stability and robustness if they are to be used as the basis for remediation, particularly with computer-delivered instruction. The purpose of this study was to compare two diagnostic approaches for describing students' (n=231) errors in algebra…

Discusses integrated learning systems (ILSs) and describes a study that considered the degree of linear relationship between time spent on the ILS and outcome achievement on ninth-grade algebra students. The effects of previous math and verbal achievement and sex differences are explored, and measurement instruments are described. (Contains 14…

Explains the approach of integrating notions of algebra in problem-solving experiences and the design of instructional activities that integrate nonroutine, nontraditional problems. Presents some problems and students' interpretations, conjectures, and generalizations about the patterns they discovered. (AIM)

Described is a mathematics resource laboratory where students use a variety of computer materials to enhance, reinforce, and broaden their concepts of first- and second-year algebra and geometry. Included are sample laboratory sheets and the answers. (KR)

This study compared the effectiveness of using classwide peer tutoring (CWPT) in 14 heterogeneous eighth-grade math classrooms with traditional independent student practice to teach problem-solving skills to students in beginning algebra. Both CWPT and independent practice were equally effective strategies with students identified as at risk or…

Instructional strategies are presented that illustrate ways of developing students' understanding of nonnumerical notation that are compatible with a constructivist stance. The concepts of using letters to represent a range of values and those used to represent unknowns are discussed. (KR)

This paper illustrates the use of rule space as a tool to support cognitive analyses of students' mathematical behavior. The rule space approach is explained and is then used to classify students into one of two methods for solving linear algebraic equations in one unknown and to diagnose their knowledge states in this topic. A 32-item test with…

Discusses a cooperative learning group in an algebra class, Homework Partners, in order to promote active student learning. Presents difficulties and benefits of this system. Concludes that the Homework Partners concept can be beneficial for other mathematics courses. (ASK)

Addresses the challenges, risks, and rewards of teaching about linear functions in a technology-rich environment from a constructivist perspective. Describes an algebra class designed for junior high school students that focuses of the representations and real-world applications of linear functions. (MDH)