The purpose of this series is to provide instructional ideas and materials that support implementation of the Curriculum and Evaluation Standards in local settings. This book addresses in a very practical way the content, pedagogy, and pupil assessment dimensions of reshaping school mathematics. Chapters include discussions and activities that…

Presents a method blending ideas from logic, algebra, and operators to devise discrete functions that yield the same truth values as the truth tables associated with specific logic statements. Introduces mechanisms that encourage students to discover examples of discrete functions, approximately represent logic statements, and provides examples of…

Describes a study that investigated the influence of small-group work on confidence level and achievement of adults in mathematics, specifically in algebra. Students who participated in the experimental (small-group) method of instruction experienced significantly greater increase in confidence level, and higher completion rate, than students who…

Some research on the learning of mathematics and on learning in general suggests that students may acquire knowledge more efficiently when presented with worked examples rather than the traditional lecture-and-then-practice format. Good worked examples may facilitate the development of mathematical schemata, while a means-end approach may retard…

The purpose of this study was to investigate the effects of the Casio 9850 and the TI-85 graphing calculators on college students' procedural skills and conceptual understanding in two different developmental mathematics courses. The courses used in this study were Elementary Algebra and Intermediate Algebra. Both the non-graphing calculator group…

The primary purpose of this study was to evaluate the application of a process approach for the teaching of algebra with a heterogeneous class of eighth-grade students. The assessment was conducted by identifying the processes used by above-average, average, and below-average algebra students in solving standard and nonstandard problems ranging…

Proposes an account of mechanisms by which students develop knowledge structures for modeling the physical world with algebra. (Author/CCM)

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…

The Hawaii Algebra Learning Project (HALP) developed a curriculum that intertwines algebraic content, instructional methods, and assessment techniques with a problem-solving focus. (MKR)

This packet contains 14 lesson plans for integrated academic and vocational education courses. Lesson plans for the following courses are included: integrated physics and principles of technology; algebra and principles of technology; principles of technology, language arts, and economics; physics and industrial electronics; physics and…

Describes a teaching experiment in which spreadsheets and computer algebra systems were used to teach a low-level college consumer mathematics course. Students were successful in using different types of functions to solve a variety of problems drawn from real-world situations. Provides an existence proof that computer algebra systems can assist…

Described is an approach to teaching algebra in a meaningful context by using problem solving to motivate students and increase their retention. Examples of this approach are given. (CW)

"In Brief" focuses on K-12 mathematics and science research and implications for policymakers, educators, and researchers seeking to improve student learning and achievement This brief highlights the learning gains of 240 elementary students involved in a long-term study in Madison, Wisconsin and their remarkable ability to reason with arithmetic…

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)

Describes a teacher's experiences in a classroom where mathematics problems are presented in the context of aliens and other galaxies. (ASK)