Finding the shortest route between two points can be approached by vector methods. Several types of matrices modelling a map of 6 cities are described. (SD)

The ideas presented include a number line activity for addition and subtraction of integers, a game involving polynomials that encourages mathematical guesswork and deduction, and an introductory story for parabolas. (JT)

A mathematics project promoting an exploratory approach to mathematical problems as well as an organization and application of mathematical knowledge is described. (JT)

Teaching ideas are shared in three separate articles titled, "Something Different for Middle School Mathematics,""A Discovery Approach for the Y-Intercept," and "How to Get Off the Track in One Easy Lesson". (JT)

The curriculum for precalculus mathematics is discussed and divided into three important areas of study: polynomial algebra, exponents and logarithms, and the circular functions. (JT)

Graphical solutions are illustrated for several algebra problems including finding roots of a quadratic equation, solving mixture and motion word problems, factoring the difference of two squares, and constructing the square root of a positive number. (MN)

Describes the writing of a programmed text to teach set theory and boolean algebra to students preparing to learn digital electronics. (JLH)

A computer program generates sets of simultaneous linear equations for students to solve; the program also solves the systems and provides teachers with solutions. (SD)

A nontechnical exposition of graph theory is presented, followed by survey of the literature on applications of graph theory in research in education and related disciplines. Applications include order-theoretic studies of the dimensionality of data sets, the investigation of hierarchical structures in various domains, and cluster analysis.…

John Saxon's incremental development model has been proclaimed as a superior teaching strategy for mathematics. This study evaluated the Saxon approach and textbook using 276 Algebra I students in experimental and control groups. The groups were compared in cognitive and affective areas. Results are presented. (Author/MT)

Develops an approach for advance estimation of user charges based on information actually retrieved by searching numeric databases, and defines a method for query cardinality estimation. Based on the relational data model, which uses relational algebra, this method uses formal file descriptions to describe the database files. (LRW)

A sequence for teaching quadratic equations is presented. Considered are: multiplying arithmetic binomials, multiplying algebraic polynomials, reversing the process, missing terms, perfect squares, other special forms and diagrams, quadratic equations, completing the square, systematizing the process, the general form, graphing equations, and…

A problem is discussed in which students investigate the properties of the perfect triangle. (MNS)

Explores a particular method of searching for roots that lends itself well to discovery learning through writing a computer program. The teacher-student interaction is given, and two computer program listings are included. (MNS)

Calculating the deficit between big-league baseball teams, and using that answer to prove the relationship between games behind and the described deficit, are each considered. (MNS)