Creation of materials for a geometry course using transformations is briefly summarized, then research on its effect upon student learning of geometry concepts and student attitudes towards mathematics is discussed. Implementation and other related questions are considered informally. (DT)

Instructions are given for constructing a geometric figure called the arbelos'' or shoemaker's knife,'' then properties of this figure are investigated in nine theorems. (DT)

A summary of the contents of a Chinese mathematics book written in the third century. (MM)

The Shepherd's Principle (to count the number of sheep in a field, count the number of legs and divide by four) is applied to the problem of finding the number of different rectangles on an N by N checkerboard. (MM)

Focuses on the mathematical activity generated by attempts to prove Euclid's Parrallel Postulate. (RP)

Five recommendations for teaching geometry in elementary and secondary school are presented. These recommendations are a result of the Comprehensive School Mathematics Program second international conference held to investigate the teaching of geometry. (JG)

The author examines conceptual and logical difficulties involved in learning and teaching axiomatic geometry. An organization of the school program in geometry from grade 1 through grade 12 is proposed. (JG)

This article describes a model icosidodecahedron made from cardboard and used as a lampshade. (MM)

Data were collected from 727 entering kindergarteners in the St. Louis, Missouri area by application of the Comprehensive Mathematics Inventory (CMI). Test items and the portion of pupils correctly answering the questions are shown in four tables, divided into subgroups. Data obtained can be used by teachers in planning appropriate learning…