An approach to finding the rational roots of polynomial equations based on computer graphing is given. It integrates graphing with the purely algebraic approach. Either computers or graphing calculators can be used. (MNS)

Describes a model for teaching early algebraic concepts using manipulative materials for elementary school students. Presents a rationale for the model. Provides activities for solving algebraic equations using envelopes and counters. (YP)

The theorems and proofs presented are designed to enhance student understanding of the theory of infinity as developed by Cantor and others. Three transfinite numbers are defined to express the cardinality of infinite algebraic sets, infinite sets of geometric points and infinite sets of functions. (DC)

Some appearances of pi in a wide variety of problems are presented. Sections focus on some history, the first analytical expressions for pi, Euler's summation formula, Euler and Bernoulli, approximations to pi, two and three series for the arctangent, more analytical expressions for pi, and arctangent formulas for calculating pi. (MNS)

Compares the trends of women's and men's world records for the 800-meter run using the linear and power regression capabilities of a graphing calculator. (MDH)

Computer-Intensive Algebra (CIA) focuses on the use of technology to help develop a rich understanding of fundamental algebraic concepts in real-world settings using computing tools for easy access to numerical, graphical, and symbolic representations of mathematical ideas. (MKR)

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

Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)

Six specific instances in which supplemental instruction (SI) leaders guide student inquiry in college algebra and calculus are described. The active learning strategies used in the situations are analyzed, focusing on the role of the leader and the support provided by SI leader training and supervision. (MSE)

Discusses a visual programming language, Function Machine Lab, which helps students with the concept of function using the function machine image. (MKR)

The absolute-value scale, a manipulative that students can construct from a sheet of ruled notebook paper, helps to promote conceptual connections between the number line and the notion of absolute value as distance. This manipulative technique is particularly suited to students who are struggling with transitional abstract cognitive development.…

Computer spreadsheets, computer graphing software, and programable graphing calculators are each demonstrated in the computational process of numerical iteration as a problem-solving method. Examples, illustrations, practical tips, and a typical calculator program are included. (JJK)

Presented is the ancient Egyptian algorithm for the operations of multiplication and division of integers and fractions. Theorems involving unit fractions, proved by Fibonacci, justifying and extending the Egyptian or Ahmes' methods into the Hindu-Arabic numeric representational system are given. (MDH)

University students (n=158) were examined to determine whether first describing a mathematical relationship by a written English sentence would affect success in constructing an algebraic equation. Students using common idiomatic forms of English that could not be directly translated into mathematical notation were found to be the most successful.…

Presented is an exploration of a number of ways these quantities can be demonstrated and some interconnections between them. Discussed are triangular numbers, sums of squares, sums of cubes, table squares, and counting rectangles. (CW)