A Response Function to Guess The Accumulation of The Amount of Information

Abstract

In this report, the term "amount of information" is used to put together knowledge, skills and so on through which each student can obtain correct answers to given tests. In order to measure the output of the amount of information from the input of that which the teacher gave the students during the lessons and which students got by studying mathematics by themselves, the author made a model in which the amount of information is likened to water, and found the transfer function and the response function in this model. Several of various coefficients are determined by using (1) a pre-fest for the amount of preliminaly knowledge and so on, (2) a post-test for that of each student's motivation and his memory and so on, (3) the rate between lesson hours and the average of the total hours when each student studied by himself in the period during a unit study. The results are discussed by using the average of a class for each response function values, and the correlation coefficient between the pre-test or post-test and the response function value.