Explains methods by which a student can check the correctness of his work and so increase his self-confidence. (MM)

Advanced placement programs using SMSG calculus materials proved successful in two one-year studies. Included were nonaccelerated college-preparatory and accelerated students. No student in either study scored a 1 (no recommendation) on the CEEB Advanced Placement Examination. (RS)

Student suggestions for solutions to mathematics problems should be invited and investigated. Described are examples which introduce the concepts of slope, translation of axes, and curvature. (RS)

Describes the development of one of Euler's infinite series for pi. Includes a computer program for computational verification output of two series which converge to pi. (RS)

Presents techniques and materials for instruction at secondary school and upper elementary grades in mathematical concepts of number systems structure. Grouping is used as a simple algebraic system to illustrate structure. Closure, inverse, identity, commutative and associative properties are examines relative to manipulation of geometric figureS.…

Presented are some of the special properties possessed by a triangle in which the measure of one of its three angles is one-half the measure of another of these angles. The author names such a triangle a vux triangle. (RP)