Using national and state standards to guide a math program is just a start. It still must be decided how to apply the standards in the curriculum, determine when students should learn different content, and decide which programs and textbooks will help make math come alive in the classroom. That's where this new ASCD resource comes in. This book…

Promoting ACademic Excellence in Mathematics and Science for Workers of the 21st Century (PACE) was a consortium project made up of Indiana University Northwest, the Gary Community Schools, and the Merrillville Community Schools. The focus of this project was to prepare teachers and curricula for Tech Prep mathematics and science courses for the…

Achievement in Mathematics (AIM), an algebra class at Lexington Community College, has successfully demonstrated the benefits of collaborative study. Six sections of Intermediate Algebra were taught by three instructors, each teaching one traditional section and one collaborative section. All six sections were given the same lectures, tests, and…

Examines research on the influence of classroom design on student learning attitudes and behavior and presents two case studies on the remodeling of five classrooms in two high schools to accommodate new instructional technology for teaching algebra. Highlights include lighting, color, surface materials, noise, climate control, and seating.…

Advocates that mathematics education reform in urban schools cannot happen without socioeconomic efforts to lessen poverty in inner cities and protect urban America's youth. The paper argues that the most successful reform initiatives will be holistic in nature and that the covert racism and ethnocentrism in educational materials that…

Presents an activity through which students develop mathematical concepts connected to area and perimeter in a rich, real-life setting and use tables, graphs, diagrams, and spreadsheets to explore the problem, see relationships, and make and test conjectures about those relationships. Encourages algebraic thinking. (SYB)

Discusses concerns for mathematics education research on algebra and requestions methods that focus on the Piagetian concept of cognitive obstacles. Suggests the use of computer-based environments to develop the concept of variable and offers research findings indicating that experiences working with variables in LOGO influences student…

Presents an account of the historical evolution of the definition of variable and the way the concept is currently treated in textbooks. Shares activities to promote student discussion on the use of variables as constants, as quantities that vary, and as parameters. Provides a reproducible worksheet. (MDH)

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

The problem-of-the-week (POW) and problem-solving class openers are exemplified as methods for the integration of course-relevant problem solving into a first-year algebra classroom without sacrificing time spent on developing skills and learning concepts. Illustrated examples, as well as problem sources, are included. (JJK)

Discussed is the classroom suitability of an open learning computer microworld centered around families of quadratic equations that provides a framework for exploring questions about parabolas to establish the link between the graphical and the algebraic representations of quadratic equations. (JJK)

Information processing researchers have assumed that algebra symbol skills depend on mastery of the abstract rules presented in the curriculum (Matz, 1980; Sleeman, 1986). Thus, students' ubiquitous algebra errors have been taken as indicating the need to embed algebra in rich contextual settings (Kaput, 1995; National Council of Teachers of…

Alternative mathematical items administered as prototypes at the spring 1989 Field Trials of the Scholastic Aptitude Test (SAT) are evaluated for differential item functioning (DIF) and differential speededness. Results for Algebra Placement (AP) and Student Produced Response (SPR) items are presented and contrasted with results obtained on two…