First Year Calculus as Taught by R. L. Moore: An Inquiry-Based Learning Approach

First Year Calculus as Taught by R. L. Moore facilitates student learning through IBL or Inquiry-Based Learning, the essence of the Moore Method. It is based on notes taken by the author as a student of Dr. Moore’s at the University of Texas, Austin in 1955. This text incorporates the pedagogical teaching of mathematics used by Dr. Moore with his own collection of seminal “problems that teach.” Designed to stimulate creativity and encourage student presentations of their solutions in the classroom, it is most suitable for smaller classes of about 30 or fewer students. The intention is to minimize lectures by the instructor and to maximize student participation in the learning process. This method has been successfully employed as an effective way to teach mathematics by students of Moore and by their students. With the help of the Educational Advancement Foundation (EAF), mathematicians have been working since the 1980’s to implement the Moore Method in universities and colleges, nationwide.