The existence of inductive and deductive learning styles and their effect on mathematics achievement were investigated. No significant difference in achievement was found between students identified as having inductive or deductive learning styles, on materials which were classified as inductive or deductive learning programs. (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)

Suggestions for appropriate uses of Venn diagrams, Karnaugh maps, and Carroll diagrams are given. (MS)

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)

The author argues that a knowledge of mathematical structure is only helpful to the high ability student. (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)