Describes a rugby problem designed to help students understand the maximum-minimum situation. Presents a series of explorations that locate an optimal place for kicking the ball to maximize the angle at the goalposts. Uses interactive geometry software to construct a model of the situation. Includes a sample student activity. (KHR)

Describes a professional development program for upper elementary and middle school teachers that includes a sequence of four activities designed to foster improved understanding of the connections among measurement, ratio, scale, and proportion. (YDS)

Presented is a short mathematical appraisal of some liquid measurements that are encountered by students in everyday life. Discussed are volumes of containers, container construction, and container calibration. (CW)

Described is automata theory which is a branch of theoretical computer science. A decomposition theorem is presented that is easier than the Krohn-Rhodes theorem. Included are the definitions, the theorem, and a proof. (KR)

Discussed is the use of magic squares as examples in a first year course in linear algebra. Four examples are presented with each including the proposition, the procedure, and a proof. (KR)

Presented is a method of interchanging the x-axis and y-axis for viewing the graph of the inverse function. Discussed are the inverse function and the usual proofs that are used for the function. (KR)

Discussed are the vital properties that an operator must have to be called a derivative and how derivatives work. Presented is an extension of the derivative that uses least squares to find the line of best fit. (KR)

Described is a way to illustrate cyclic and dihedral groups through symmetry using corporate logos and hubcaps. Examples of the different kinds of symmetry groups are explained in terms of Leonardo's Theorem. (KR)

Presented is a way of extending the list of rotation groups to include all finite subgroups of symmetries of the sphere, up to conjugation in its full group. Included is Klein's method for enumeration of the finite subgroups. (KR)

Presented is L'Hopital's rule for the evaluation of limits in the case when x goes to infinity using geometric concepts. Included are the rule, extensions, counterexamples, and a rule for sequences. (KR)

Discussed are the idea, examples, problems, and applications of convexity. Topics include historical examples, definitions, the John-Loewner ellipsoid, convex functions, polytopes, the algebraic operation of duality and addition, and topology of convex bodies. (KR)

Describes activities for developing mathematical and science process skills using the labels on food packages. Provides objectives, rationale, lesson outlines, procedures, worksheets, evaluation, teacher notes, extensions, and student worksheets for the activities. (YP)

Describes the use of calculators for the teaching of mathematics in grade 1. (YP)

Describes activities emphasizing the process of measuring. Presents three activities on length, area, and angles with questions and illustrations. (YP)

Describes activities focusing on reading, recording, and analyzing schedules. Provides objectives, directions, worksheets, extensions, and answers to each of the activities. (YP)