This paper discusses the basic concepts of reflection and its related concepts in optics. It aims at providing examples on how to apply the principle of reflection in geometry. Explorations of the concepts involved via dynamic geometry software are also included.

The inservice learning module described focuses on teaching mathematical concepts at the elementary grade level. Specifically covered in the module are discovery learning, drill activities, understanding number concepts, and introduction to geometry. Information is provided in this descriptive report on the scope and sequencing of topics and the…

This yearbook presents many aspects of mathematics learning by children between the ages of three and eight. Addressed to teachers of primary school children, the book begins with chapters discussing learning and cognition, the primary curriculum, and research on mathematics learning at this age level. Eight subsequent chapters deal with the…

Explains the use of the 3-dimensional analytic geometry method to find values for a field geology problem. Gives a description of the mathematical theory for this method which can be applied to data obtained by drilling as well as open surfaces, and a computer program. (RT)

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)

Discusses research studies which examine why many capable students continue to avoid mathematics in school. The ideal mathematics student, sex differences, teacher behavior, student attitudes, and minority participation are among the areas considered. (JN)

The strengths and weaknesses of using ethnographic research to investigate equity in a study of a grade 9 class that used a dynamic geometry program with laptop computers will be presented. It will be argued that research approaches that involve "windows on practice" provide understanding of not only who is advantaged and disadvantaged in…

Describes LOGO, an educational computing language designed at the Massachusetts Institute of Technology for use by young children in developing problem-solving skills. The structure of LOGO, the drawing operations possible using the LOGO "Turtle," LOGO as a learning environment, and the educational philosophy underlying LOGO are…

Discusses author's adaptation of the computer language Logo as an aid in teaching college preservice education students programming, geometry, arithmetic, and problem solving. A description of how Logo works and an example of how "turtle geometry" can be used to help teach geometry concepts are included. Four references are listed. (EJS)

A description and evaluation of a detective story approach to the instruction of geometry to third graders is presented. (MP)

Discussion of the use of intelligent tutoring systems (ITSs) highlights the role of the teacher. Experiences at Gallaudet University with the Geometry Proof Tutor (GPT) are related, future expectations for ITSs are suggested, and an ideal intelligent instructional system is proposed that considers the social nature of education. (13 references)…

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)

Shows that the ratio of the area of the quadrilateral formed by joining the kth points to the area of the original quadrilateral is constant whether it is convex or concave quadrilateral. Presents many geoboard or dot paper diagrams and geometrical expresssions. (YP)

Describes the definition and characteristics of a regular polyhedron, tessellation, and pseudopolyhedra with diagrams. Discusses the nature of simplex, hypercube, and cross-polytope in the fourth dimension and beyond. (YP)

Explores the production of shadows for drawings using the LOGO computer language and Affine Geometry. Explains the methodology of the shadowing and lists the Affine Turtle procedures. Provides for different versions of LOGO. (MVL)