This book is a collection of 21 articles by mathematics teacher Ernest Ranucci (1912-1976) grouped into five categories: (1) "Patterns" (for developing inductive reasoning skills); (2) "Mathematics in the World Around Us"; (3) "Spatial Visualization"; (4) "Inventiveness in Geometry"; and (5) "Games to Learn By", which demonstrates that mathematics can be both challenging and fun. The six articles for the first section emphasize geometric and numerical patterns and ways of encouraging students to find them. In the second section, the two articles use an intermingling of music, mathematics, and international culture to show the relationship between mathematics and music. Section three is composed of four articles on orthographic projection and its uses in a geometry classroom; blackboard drawing; the history of mathematics and mathematical art and literature; and topology and the uses that can be made of the letters of the alphabet. Section four deals with tessellations (the field of geometry concerned with two-dimensional space filling) and the inventive nature and human aspects of mathematics. Section five consists of three readings that provide calculation practices, a system for studying bases other than ten, an analysis of the mathematical structure of a game, and winning strategies. Also included are a brief biography of Ranucci and a selected bibliography of his work. (RT)