An unusual mathematics problem involving two buckets, each of a different capacity, is discussed and analyzed. (JT)

An approach close to the original Greek geometric point of view regarding the question and proof of the irrationality of the square root of two is given. (MN)

Several algorithms for solving initial value differential equation problems using the definitions of derivative and integral and a computer are discussed. (MN)

A sophomore-level course in Applied Mathematics is described, with aims, instructional method, sequence, and evaluation discussed. (MS)

Mathematical models that are used to solve facility location problems are presented. All involve minimizing some distance function. (MNS)

Algorithms to determine the optimal locations of emergency service centers in a given city are presented, with theorems and proofs. (MNS)

Algebraic and transcendental curves are discussed, with attention focused on computing the area of some special regions bounded by the curves. (MNS)

Fractal geometry is explored, with sections on snowflakes and flow snakes, Mandelbrot's definition of fractal, and other fractals. (MNS)

Illustrated is how students can be directed to move from a geometric to an algebraic mode of thought and back again in linear algebra, thereby deepening their understanding. Rotations and line reflections in the plane are used as the example. (MNS)

A study of geometric convexity, where the emphasis is on the gradual organization of a field by mathematizing, is outlined. (DT)

Outlines the structure of the CRIMEL project in mathematics at the Ohio State University. Describes the testing program which gives students the opportunity to retake examinations if they believe that they can improve on their initial performance. (JR)

This article makes a plea for the greater use of non-parametric methods in introductory statistics courses. (MM)

This article (the 1971 Presidential Address to the Mathematical Association of U. K.) makes a plea that college teachers of mathematics should be better aware of the applications of mathematics in other subjects. As an example, the author describes the use of differential equations to solve certain vibrational problems in mechanical engineering.…