The advent of powerful Computer Algebra Systems (CAS) continues to dramatically affect curricula, pedagogy, and epistemology in secondary and college algebra classrooms. However, epistemological and pedagogical research regarding the role and effectiveness of CAS in the learning of algebra lags behind. This paper investigates concerns regarding…

Describes the process of modifying a program that focuses on computer-directed instruction in a developmental algebra course that was not producing the positive results expected. Emphasizes integrating classroom instruction along with a laboratory, either a computer or classroom laboratory. (Author/KHR)

Investigates a way to assist students with learning differences. Considers mathematical connections appropriate in middle grades through college mathematics centered around the words "and" and "or" within the fields of logic, set theory, algebra, number theory, and probability. Teachers and students should be encouraged to investigate mathematical…

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)

Presents an example from probability and statistics that ties together several topics including the mean and variance of a discrete random variable, the binomial distribution and its particular mean and variance, the sum of independent random variables, the mean and variance of the sum, and the central limit theorem. Uses Excel to illustrate these…

Aims for students to use a combination of stochastic ideas to simulate a basketball tournament. Uses the TI-83 calculator in the activity to simulate the binomial distribution. (KHR)

Describes how the cubic formula can be presented easily at the precalculus level, shows how to verify that the formula is correct, and identifies when it is profitable to use. (KHR)

Use of applets in classroom demonstrations encourages students to use them in homework problems. These applets are dynamic and do not have the syntactical or procedural stumbling blocks associated with most software or textual material, so students can begin exploring and learning immediately. (MM)

Both computers and calculators are limited by architecture, operating system, and software, to some predetermined level of precision within decimal number presentation and calculation. However, there exists a base that produces a terminating decimal. (MM)

Description of a technique in Maple programming language that automatically prints all paths of any desired length along with the name of each vertex, proceeding in order from the beginning vertex to the ending vertex for a given graph. (Author/MM)

The notions of pentagonal numbers and partitions can be understood by students at the precalculus level, and should work well in a first course in programming for high school or college students. Presents opportunities to conjecture properties of partitions from a computer program. (Contains 14 references.) (Author/ASK)

This brief investigation exemplifies such considerations by relating concepts from number theory, set theory, probability, logic, and calculus. Satisfying the call for students to acquire skills in estimation, the following technique allows one to "immediately estimate" whether or not a number is prime. (MM)

Focuses on how to write clear programs with C++ that are easier to debug and modify. Student programs designed according to these outlined principles will tend to develop more quickly, have less bugs, and be much easier to debug. (ASK)

Describes a cooperative effort using telecommunications. Utilizes a potential e-mail dialog between the authors and a secondary mathematics teacher from a rural Kansas community who had heard about the interclass Hexiety project, which allows students to develop a context for their mathematical knowledge, to present ideas about the project. (ASK)

Describes a calculator program that graphs and indicates the main features of the conic whose second-degree equation includes a nonzero xy-term. The program indicates coefficients of conic in a rotated coordinate system, type of conic, angle of rotation, coordinates of vertices of conic in the original coordinate system, and a graph of conic…