Describes a course including both theory and practice in the uses of calculators and microcomputers for secondary school mathematics teachers. Provides four calculator activity sheets and an evaluation questionnaire. (Author/YP)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

Describes a five-dice game, horse. Discusses the offensive player's strategy using the ideas of probability, such as counting outcomes, mutually exclusive events, conditional probabilities, zero sum games, and the use of computer. (YP)

Discusses the calculation of pi by means of experimental methods. Polygon circle ratios, Archimedes' method, Buffon's needles, a Monte Carlo method, and prime number approaches are used. Presents three BASIC programs for the calculations. (YP)

Reviews video programs and film materials for the teaching of mechanics. Describes 13 videos of the Open University. Discusses other resources of visual materials. (YP)

Shows that graphs can reveal much about feedback systems that formula conceal, especially as microcomputers can provide complex graphs presented as animations and allow students to interact easily with them. Describes feedback systems, evolution of the system, and phase diagram. (YP)

Describes a process of mathematical investigation involving generalized Fibonacci sequences. Provides the derivation using expressions, BASIC programs, and numerical verification. (YP)

The Television Programming Challenge was designed for junior high school students to show applications of mathematics in the real world. Eight-member groups were paired to attend seminars on different skill areas, and then worked together to report on a television schedule. (MNS)

Described are some designs in the playground of an infant school, and indicated are some mathematical activities that resulted from their use. Games included are Schlegel diagram of Dodecahedron, Pong Hau K'i, Ko No, Achi, Draughts, and Star with their diagrams. (YP)

Discusses making tessellations by using a polyomino. Illustrates the various ways for various shapes of polyomino. Provides several diagrams and instructional guides. (YP)

Describes the Elementary Mathematics Research Model, which furnishes a vehicle for problem solving through real data collection and analysis. (MKR)

Presents mathematics activities that give students in grades three through six practice in writing and problem solving by using the setting of a zoo or animal park. Includes reproducible student worksheets. (MKR)

To help students appreciate the real-life application of geometric constructions, two activities are presented applying boundary lines in geography. Geometric concepts are integrated with other disciplines by giving students historical information, maps, and activity sheets to study the Delaware-Pennsylvania border and the District of Columbia's…

Presents a proof of Euler's Theorem on polyhedra by relating the theorem to the field of modern topology, specifically to the topology of relief maps. An analogous theorem involving the features of mountain summits, basins, and passes on a terrain is proved and related to the faces, vertices, and edges on a convex polyhedron. (MDH)