Paper shows that an obvious generalization of the subjective metrics model by Bloxom, Horan, Carroll and Chang has a very simple algebraic solution which was previously considered by Meredith in a different context. (Author)

Activities designed for levels 1-4 give experience in recognizing shape and form after standard transformations are applied to geometric figures. The activities for the upper levels use a physical projection to provide experience with the properties of similarity. (DT)

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)