Answers to a list of twenty geometry-related questions are hidden in a matrix of letters. The answers can be read in eight different directions: vertically, horizontally, on both diagonals, forward, and backward. (MN)

The author presents a research-oriented approach to teacher training intended to aid teachers in being able to reason about the content, methods and goals of their teaching activities. The model research procedure is then illustrated by exploring a particular teaching unit in three-dimensional geometry. (MN)

Generating functions for the columns in Pascal's triangle are constructed through algebraic and geometric interpretations. (JT)

Discusses whether a map can be constructed using only the distances between 15 selected cities. Concepts used in the discussion come from geometry, matrix theory and trigonometry. (PK)

The mathematics curriculum should be imbedded into the cultural environment of the student. Discussed is the mathematical educational potential of decorative motif. (PK)

Argues for teaching different approaches to solving problems. Using a geometric example, alternative solutions are given which use synthetic geometry, transformation geometry, analytic geometry, complex numbers, trigonometry or vectors. (PK)

Provides results from a 1983 survey of secondary mathematics education in Wisconsin. Questions refer to graduation requirements, curriculum topics, nature of geometry classes, metric system, computers, and calculators. Items also collected data on district mathematics committees, policies, competency exams, computer access, and the nature of…

Discusses the geometry, algebra, and logic involved in the solution of a "Mindbenders" problem in "Discover" magazine and applies it to calculations of satellite orbital velocity. Extends the solution of this probe to other applications of falling objects. (JM)

PROLOG is a relatively new programing language with graphics capability. In addition, the language has a declarative rather than a procedural structure. Two programs illustrating use of the language in the mathematics classroom are presented. (JN)

Seymour Papert, creator of LOGO, explains how he came to create this important problem-solving language and how he intended it to be used to foster learning among children. What children can do with turtle geometry (indicated to be a natural approach to mathematics) is one topic considered. (Author/JN)

Researchers examined the degree to which the teacher, past academic success, and student's sex influenced the self-concepts of ninth and tenth grade geometry students. Teacher influence and past academic success exerted more impact on geometry students' self-concepts than did their sex. (Author/PP)

Computers can be programmed to produce increasingly complex line drawings. Through programming activities students can learn the geometric principles involved. (SD)

A description is given of a geometry unit for preservice elementary teachers in which professionalized subject matter is coupled with field-based teaching experiences. Details of an inservice course in measurement also are given. (DT)

The development of abstract mathematical thinking is an essential part of mathematics and the geometry is regarded as a suitable domain to serve this purpose. As different technologies such as computers and graphing calculators are widely being used, curriculum developers on geometry should take these technologies into consideration. Several…

This paper presents some research findings regarding the changes in the mathematics produced by mathematics teachers in on-line distance courses. Predicated on the belief that knowledge is generated by collectives of humans-with-media, and that different technologies modify the nature of the knowledge generated, we have sought to understand how…