THE DEVELOPMENT OF INTERACTIVE SOFTWARE FOR THE INTRODUCTION OF TRIGONOMETRY By Lori Holcombe Spring 1995 Computer-Assisted Instruction (CAI) uses state-of-the-art technology to allow a more complete understanding of basic concepts for the aspiring mathematician. This project applies findings of current educational research to the introduction of the basic elements of trigonometry. The computer gives the student the freedom to explore interesting areas without the tedium of calculating and graphing by hand. This will enable more thorough learning of elemental trigonometry than has been evident using traditional modes of instruction in a basic course. This original computer program is a creative introduction to trigonometry. The program is arranged in 38 screen presentations in HyperCard® format for Macintosh computers. Each screen interactive and allows students to manipulate graphics and calculations. Dynamic graphics animate each lesson. Prerequisite algebra and geometry skills are reviewed. The unit circle is employed in the definitions of degree, radian, sine, cosine, and tangent. The original arc-based definitions are used to link geometric concepts to the trigonometric basics. Cartesian graphs are thoroughly explored. Three test screens provide a means of assessment for the user. Several screens offer discovery environments which allow the investigation of key ideas. It is recommended that this program be used by students interested in an alternative approach to independent learning and by teachers as an enhancement to classroom instruction.