This article gives an overview of the new field of complexity theory which links computer science to mathematics, and ultimately to the solution of theoretical as well as practical problems in society and technology. (Author/MK)

Presents a series of questions designed to help convince students that mathematics is useful, current, and newsworthy through solving systems of linear equations in real world contexts. (KHR)

Endorses the projects approach to learning as helping students acquire contextual, personal knowledge rather than learning only isolated bits of content information. Describes the five-step process for doing projects which includes productive thinking or generating ideas, the planning or organizing of ideas, decision making, communication or…

Using the power series solution of a differential equation and the computation of a parametric integral, two elementary proofs are given for the power series expansion of (arcsin x)[squared], as well as some applications of this expansion.

This article outlines an engineering problem requiring the use of a specialized trigonometric formula, and offers an answer to that age-old classroom question, "When are we gonna have to use this"?

This book provides a collection of 191 mathematical problems aimed at the advanced high school student level and above. Problems cover general mathematical areas including plane geometry, three-dimensional geometry, number theory, algebra, combinatorics and graph theory, and a number of miscellaneous questions that combine mathematical…

Methods of determining probabilities of various outcomes of the game Yahtzee are described. (SD)

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

Three examples illustrate a method for solving word problems: guess a solution, write an expression to check the guess, and substitute a variable for the guess in the expression. (MP)

A question as to the number of stitches needed for a particular triangular crocheted scarf gives rise to the use of several methods of solution including arithmetic series. (MN)

Derives the general Doppler formula in a nonstatic universe using assumptions of special relativity, homogeneity and isotropy of the universe. Examples of applications to physical cosmology are given. (SL)

Presents and analyzes data on the arithmetic procedures people use when shopping for groceries in American supermarkets. Reports that the way shoppers solve problems is closely related to the way they formulate problems: supermarket arithmetic does not begin with a well-defined problem that calls for a specific numerical answer. (KH)

Computer graphics are used to display the sum of the first few terms of the series solution for the problem of the vibrating string frequently discussed in introductory courses on differential equations. (MNS)

An algebra problem is analyzed, and several variations are suggested for further student inquiry. Practical applications of the problem are discussed. (DT)