Featured in this yearbook are twelve thematic essays that analyze and interpret organizational alternatives for teaching mathematics in the elementary and secondary schools. The following topics are covered: three different models for individualized instruction (Individually Guided Education, a departmental model, and a classroom model),…

Article discusses two questions--what is the research base for the recommendations made by the NCTM Standards for School Mathematics Committee and what is the agenda for new research implied by the standards. (PK)

The author suggests ideas intended to lead to independent study on topics including trigonometry, Pythagoras, algebra, transformational geometry, primes, and countability. The ideas are based on Islamic patterns devised using a square lattice of dots and repeated reflections. (PK)

Explored the relationships between gender and achievement as measured by the Secondary School Certificate Examination in Kuwait. Found that girls attained significantly superior results compared with boys in all science subjects and lower results in mathematics. Also reports comparisons of urban-rural and Kuwaiti-non-Kuwaiti students. (Author/CW)

Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)

Suggests that student errors in mathematics be used as motivational devices and starting points for mathematical explorations, involving problem solving and problem posing activities. It is further suggested that errors can foster a deeper and more complete understanding of mathematical content and nature of mathematics itself. (PK)

Argues that the investigation of the life and personality of textbook authors is one approach by which it is possible to analyze school life in the past. The French text author Lacroix is considered. (PK)

Presents a program written in USCD Pascal that simulates a system routine. Illustrates standard and user defined boolean and string functions and string procedures. Details the processing operations. (CW)

Describes common beliefs of students about the nature of mathematics and discusses the implications of the student beliefs for problem solving and for teaching. (PK)

Looks at school-based assessment within a norm-referenced framework which replaced external examinations for all year levels of high school in Queensland (Australia) beginning in 1973. Suggests that changes have made little advance, have used an enormous amount of resources, but have acted as an impetus to examine assessment and curriculum. (PK)

Explores the problem of combining algebraic terms from the students' point of view and suggests changes in certain traditional teaching practices. (PK)

Presents three reproducible worksheets which contain verbal problem situations in which numerical quantities have been omitted and represented by geometric shapes. The objective of the material is to develop the students' ability to analyze the mathematical structure in verbal problem-solving situations. (PK)

Argues that before topics are added to or deleted from the traditional mathematics curriculum, it should be determined how technology can be used to teach that content. (PK)

Reports on the seventh grade and eleventh grade results of the fourth mathematics assessment of the National Assessment of Educational Progress. Addresses students' performance on variables and relations, geometry, fundamental methods of mathematics, and attitudes. (PK)

This article investigates two common methods of determining the line of best fit and then expands on the techniques used in these methods to find the line of best fit by graphing, estimating and using a microcomputer. (PK)