Practice of Calculus Lecture Using Peer Instruction by Audience Response System

A method called "Peer Instruction" has been adopted with the aim of class management that encourages students to learn from each other. This method is a way to deepen the understanding of the concept of learning contents by discussing the "reasons of validity of correct answers" with respect to concept tests. We introduce the class implementation method and report the developed concept test and the correct answer rate. Then, we report the analysis results for the concept test used in the calculus lecture. In this paper, we show the PI efficiency of the concept test, which is the rate of correct answers to each concept test by examining changes before and after discussion between students, conducted over 4 years (from FY2016 to FY2019) and attempt to extract the concept factors from characteristics of the concept tests with high PI efficiency. Furthermore, quantitative analysis of the extracted concept factors is performed by t-test with the whole concept test used in the class as the population. As a result, it is found that a parameter quantifies evaluation value of the concept test. At the end, we tried to analyze the understanding the learning contents by the extracted concept factors contained in the corresponding concept test. This analysis results suggest that the concept test with high PI efficiency is effective for understanding the corresponding learning contents.