Details of a class exploration of graphs that drew upon knowledge about the behavior of particular kinds of functions and applied them in a new context are provided. (MP)

An extensive investigation of pupil understanding of fractions at the secondary education level showed the majority tended to avoid using fractions, could not generalize about them, and probably did not see them as an extension of the set of whole numbers. (MP)

Results of two national surveys indicate that sex differences in achievement on mathematical applications persist even when different levels of mathematics participation are controlled. (MP)

A statewide sampling of Wyoming's graduating senior-high pupils raised serious concerns regarding the preparation of many of these pupils for college mathematics courses. Future occupational choices available to most females were seen as severely limited. (MP)

A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)

Considers the National Council of Teachers of Mathematics'"An Agenda for Action: Recommendations for School Mathematics in the 1980s" in light of recent trends in secondary school mathematics. Discusses the reports' recommendations on problem solving, definition of basic skills, calculators and computers, secondary math curriculum, and…

Story problems related to transportation are seen as tools to motivate students to study mathematics by relating the subject to the real world. Schedule making for transportation planning is reviewed. (MP)

Some methods of proof of traditional algebra problems using geometric methods are explored. The techniques used come from the original Greek approaches to these mathematical questions. (MP)

The concept and use of proof in mathematics are examined. Uses and purposes of proofs are listed and described. (MP)

Three ideas are presented: (1) using a detective story format in problem-solving activities; (2) the mathematics of modern trademarks which express a variety of mathematical ideas; and (3) an approach to the proof of the mean-value theorem that examines the problem geometrically. (MP)

Requiring college mathematics students to write papers as an integral component of a standard mathematics course is promoted. (MP)

Some activities designed around the Monte Carlo method of solving probability problems are described. The instructional applications of this method involve physical models or simple BASIC computer programs. (MP)

The introduction of certain topics in the theory of machines and languages into school and college mathematics courses in place of the more usual discussion of groups and formal logic is proposed. Examples of machines and languages and their interconnections suitable for such courses are outlined. (MP)

Three models to predict future world records for footraces are reviewed. The records for the mile run are presented with time and year given in linear, hyperbolic, and experiential relationships. (MP)

A new program of instruction for freshmen high school students in general mathematics classes is described. (MP)