Describes a series of imaginary visits to earlier civilizations in which the mathematics of each historical period is situated in its social setting. Art and language arts activities based on the mathematics provide further cross-curricular experiences. (Author/NB)

Describes the use of mathematics skills in daily life using a home renovation business as an example. (YDS)

Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (CW)

Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)

Presents some examples from geometry: area of a circle; centroid of a sector; Buffon's needle problem; and expression for pi. Describes several roles of the trigonometric function in mathematics and applications, including Fourier analysis, spectral theory, approximation theory, and numerical analysis. (YP)

Outlines various subtraction methods, such as the decomposition method, equal-addends method, and low-stress algorithm. Describes a subtraction method by addition of complements. Discusses the advantages and disadvantages of the method. (YP)

Develops a general computer algorithm to obtain a magic square having a number of rows that is a multiple of four. Presents a BASIC program and sample runs. (YP)

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)

Discusses figurate number learning activities using patterns and manipulative models. Provides examples of square numbers, triangular numbers, pentagonal numbers, hexagonal numbers, and oblong numbers. (YP)

Presented are geometric interpretations of the Riemann-Stieltjes integral and a few associated theorems (without proofs). Such graphical explanations can aid some students in understanding real analysis. (MNS)

The author reports research findings on the approaches used to teach mathematical concepts in technology education. Appropriate methods of teaching mathematically based concepts are recommended and discussed, and curriculum materials that employ these approaches are introduced. Findings concerning receptivity among teachers to the recommended…

Investigates the problem of finding the expected number of questions necessary to identify 1 out of a set of 30 attribute blocks. Solutions include the use of a tree diagram or a computer simulation. Generalizes the problem for increased numbers of attributes. (MDH)

Outlines an approach to the problem of over- or underquantification for students by teaching science as a process of collecting, organizing, and analyzing data that naturally integrates with mathematics. (MKR)

Presents classroom curriculum and student projects that use dynamical systems--something that changes over time, such as weather or populations--to capture students' attention. (MKR)

A workplace literacy project involved complex math and science concepts and applications integral to foundry operations. It demonstrates that, despite lack of formal schooling or English proficiency, workers can learn complex concepts through practical experience and reflection, using their knowledge and skills with contextual cues. (SK)