Analyzes students' calculations of appliance efficiency using basic arithmetic and provides examples of energy guide labels that illustrate applications of algebra and statistical concepts. (KHR)

The theorem is seen as the foundation for large-sample statistical inferences, and is usually difficult for students to understand because one expects to take only one sample from a population. A description of how a table of random numbers readily available to students could be used is provided. (MP)

Reviews the underpinnings of synthetic division. Shows how to quickly obtain the coefficients of the Taylor expansion of a polynomial about a point, and a partial fraction decomposition of a polynomial. (MVL)

Describes a beginning algebra course that places stronger emphasis on learning to solve problems and introduces topics using real world applications. Students learn estimating, graphing, and algebraic algorithms for the purpose of solving problems. Indicates that applications motivate students by appearing to be a more relevant topic as well as…

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

"How can this Abstract Algebra course help me to teach Algebra in high school?" To professors of prospective mathematics teachers, this type of question has a resounding familiarity. Because students are unclear as to the relationship between upper division mathematics courses and the high school curriculum, answering the opening question to the…

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

Suggests instructional modifications that utilize liberal arts students interests and strengths to stimulate their interest in mathematics. Suggestions recommend that teachers (1) relate mathematics to current critical issues; (2) make use of projects and open-ended problems; (3) utilize collaborative learning; and (4) provide opportunities for…

Provides a brief explanation why instruction designed for use with the microcomputer can enhance students' understanding of the concept of function. Presents five lessons designed to help students develop a thorough understanding of functions and their uses, to encourage students to explore and verbalize mathematical ideas, and to assist in the…