Uses the context of rock climbing to discuss the science concept of friction. Presents the mathematics equations that describe the concept. Examines the physics of different rock climbing situations encountered and equipment used. A series of related problems with answers is provided. (MDH)

Consideration of a definite integral in an advanced calculus class led to a great deal of mathematical thinking and to the joy of discovery. Graphing calculators allowed students to investigate quick solutions which should be regarded as stepping stones to additional investigation and rigorous proof. With slight modifications to their proofs,…

Presents a problem to determine conditions under which two identical masses, constrained to move along two perpendicular wires, would collide when positioned on the wires and released with no initial velocity. Offers a solution that utilizes the position of the center of mass and a computer simulation of the phenomenon. (MDH)

Presents three teaching ideas involving (1) results of participation in the annual American Statistical Association's poster contest for students in grades K-12; (2) a variation on an annuity problem in which the contribution each year is increased by a given percentage; and (3) concrete activities to help students understand the meaning of radian…

Uses conic sections, trigonometric functions, and polar coordinates to solve the problem of determining the shape of a baseball outfield fence, given the distances along the foul lines and to straightaway center field. Graphing programs and calculators are utilized to plot different solutions. (MDH)

Presents a teaching model as an activity to introduce preservice secondary mathematics teachers to the law of cosines. The activity is student-centered in which students construct figures; measure angles and segments; calculate areas; investigate relationships; and communicate their results. (MDH)