A handbook for teachers of calculus and analytic geometry is described. Five categories of materials are included, with illustrative examples and a lesson plan. (MNS)

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

Formulas for use in computer programs are presented. Two programming applications are discussed: one to ballistics using inverse sine and one to hours of daylight using inverse cosine. (MNS)

The problem of checking associativity is explored to show the power of mathematical tools, and some by-products to which the process leads are noted. Testing for associativity, the number of trials, and additional questions about associativity are discussed. (MNS)

The goal of this article is to identify and disseminate several important messages from recent research on formal thought. Reasoning by adolescents, measurement of Piagetian formal reasoning, the importance of additional factors, stages, and working memory are discussed. (MNS)

Two traditional presentations introducing the calculus of exponential functions are first presented. Then the suggested direct presentation using calculators is described. (MNS)

The harmonic mean is defined, and examples of problems viewed suitable for classroom exploration are presented. Such exercises provide many opportunities for students to engage in interesting nontrivial problem-solving activities and practice on many algebraic skills. Class discussion of the arithmetic, geometric, and harmonic means is suggested.…

Two models are presented. The first assumes that air resistance is proportional to the velocity of the falling body. The second assumes that air resistance is proportional to the square of the velocity. A program written in BASIC that simulates the second model is presented. (MP)

An excursion in applied mathematics is detailed in a lesson deemed well-suited for the high school student or undergraduate. The problem focuses on an experimental missile guidance system simulated in the laboratory. (MP)

Energy-Environment Simulators, provided by the U.S. Department of Energy, can be used to help individuals experience the effects of unbridled energy consumption for the next century on a national or worldwide scale. The simulator described is a specially designed analog computer which models the real-world energy situation. (MP)

Describes exhibits from a math applications fair held as part of a National Science Foundation Pre-College Teacher Development Project. Topics of the exhibits include measurement, astronomy, optics, calculators, mathematics in nature, art, music, electronics, scale models, sports, bicycles, travel and vacations, kites, automatic design, stamp…

The issue of how much emphasis balancing chemical equations should have in an introductory chemistry course is discussed. The current heavy emphasis on finishing such equations is viewed as misplaced. (MP)

The Triple Representation Model of problem solving is presented. The use of microcomputers in this problem-solving environment is discussed, and examples are provided. The integration of this method into the mathematics curriculum is described. (CW)

Presented are several consequences of Ceva's theorem which deal with ratios of segments formed when a parallel to one of the sides is drawn through the point of concurrency. The proofs of these theorems are included and are of varying degrees of difficulty. (KR)

Described is an activity that incorporates a computer, geometry, algebra, trigonometry, and calculus to answer questions about the planet Mars. A possible crescent of Mars is compared to those of Venus and Mercury. (KR)