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

Compares the effectiveness of computer-assisted instruction (CAI) and conventional instruction (CI) for teaching a developmental education mathematics course to African-American college students. Results revealed statistically significant difference on the algebra posttest. Students in the CAI section had significantly higher attitudes toward…

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…

To allow variable amounts of time for students to complete Algebra I, a gateway course, schools must address four issues: curriculum, instructional methods, assessment, and scheduling. The Algebra I curriculum should be divided into four parts; assessments should be designed to measure students' mastery of each part. Also, a two-period block of…

Describes several ways to implement the NCTM Standards in technically enhanced classrooms. Presents examples from "Computer-Intensive Algebra." Provides suggestions for implementation. (YP)

Identifies big ideas for the informal study of algebra-related topics in the middle grades including notation, variable, function, and properties of number. Suggests meaningful ways to accomplish them. (YDS)

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)

Described is a decomposition theory from which the Cayley-Hamilton theorem, the diagonalizability of complex square matrices, and functional calculus can be developed. The theory and its applications are based on elementary polynomial algebra. (KR)

Presents a read-aloud from Mark Twain's "Life on the Mississippi" and describes its use (and class activities for it) in algebra and geography classes. (SR)

Discusses how students fail to recognize the underlying equivalence when the same set of points is represented by a graph or an equation or a table. Presents activities in which more than one form of representations of the same information are included. (ASK)

Presents activities designed to help students bridge the gap between the graphical representation of a function and a verbal description. Includes a number of nonstandard graphs and reproducible student worksheets. (MKR)

Discusses the teaching of linear algebra with and without computer software. Considers class format with regard to computer usage, the effect of holding classes in the computer laboratory, homework, computer projects, and student responses. Appendices contain topic tutorials and sample computer projects. (DDR)

The recursive model presented here involves the study of drugs in the bloodstream and their subsequent elimination from the body. Both a basic and a more realistic model are presented and discussed in terms of an algebraic approach, a recursive approach, the graphical representation, and other extensions and connections particularly with models…

Presents a methodology designed to strengthen the cognitive effects of using graphing calculators to solve polynomial equations using pattern matching, searching, and heuristics. Discusses pattern matching as a problem-solving strategy useful in the physical, social, political, and economic worlds of today's students. (DDR)

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)