TRIGONOMETRY: COMPARING RATIO AND UNIT CICLE METHODS

 

 

Margaret Kendal and Kaye Stacey[i]

 

University of Melbourne, Australia

 

Before the 1960s, introductory trigonometry was taught in Victorian schools using the ratio method, where trigonometric functions are defined as ratios of sides of right angled triangles. With the advent of "new maths", the unit circle method was introduced. This study explored differences between the two methods for teaching introductory trigonometry. Eight classes of students were randomly allocated to either teaching method. The ratio method was found to be much more effective, resulting in better performance and retention in trigonometry and algebra, and more favourable attitudes.

 

 



[i]We wish to thank the students and teachers of Melton Secondary College for their willingness to participate and their enthusiasm for this study.