Describes a variety of activities to develop ideas of pattern, mapping, and graphing for high-level high school mathematics classes. Provides problems and their answers with screen displays for the Casio graphic calculators. (YP)

There may be a social and an intellectual aspect to the process of development of mathematical knowledge. This paper describes quadratic equations as intellectual mathematics and as colloquial mathematics. Provides some historical data. (YP)

Discusses the implementation of teaching estimation as portrayed in the NCTM Standards. Presents two instructional examples. (YP)

Presents four activities for the exploration of a balance, mass, the length of the balance arm, and the position of the fulcrum. Provides objectives, directions, extensions, answers, and worksheets for each activity. (YP)

Discusses how to express an n factorial as a product of powers of primes. Provides two examples and answers. Presents four related suggestions. (YP)

Presented are 14 student reproducible worksheets for use in teaching mathematics skills using animal exercises. Topics of these games and puzzles include measurement, counting, subtraction, addition, estimation, multiplication, and division. An answer sheet for teachers is included. (CW)

Provides several problems and their solutions for a descriptive statistics course. Included are problems related to measurement, data collection, sample construction, applications, and computation. Discusses the misleading nature of statistics. (YP)

Discusses geometric construction problems. Presents four ways to construct a regular octagon using different conditions. Provides drawings showing the constructions. (YP)

Provides a BASIC program to compute the number of shuffles required for packs containing even numbers of cards up to 100. Lists 4 further questions on the shuffling program. (YP)

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)

Describes a unit in which students design a space station. Provided are a timetable for the unit, requirements for space-station manufacturing, and an outline of the unit. Lists nine references. (YP)

According to National Association of Educational Progress (NAEP) survey data, student achievement improved between 1971 and 1980, especially for basic skills and mostly minority populations, and has remained level since 1980. Schools need to examine instructional practice from a student's perspective, promote higher order learning skills, and…

Discussed is a high school mathematics curriculum for students pursuing majors in collegiate business programs. Proposed are different emphases in the curriculum by different career fields such as audit manager, marketing manager, and production manager. (YP)

Discusses a primary teaching method for the concept of negative numbers. Describes some activities for teaching the concept. (YP)

Discusses a counting system and number operations. Suggests six distinct areas in a "number" subject: one-to-one correspondences; simple counting process; complicated counting process; addition and multiplication; algorithms for the operations; and the decimal system. (YP)