Development of a Semi-Active Learning Support System with Operation Index for the Mathematics of Vectors

Abstract

It is important for learners to understand the relationship between mathematical problems and their answers to those problems. One way for learners to recognize the significance of their answers method for a problem is through trial and error. However, in ordinary mathematics learning, the correct answer is generally fed back from the textbook or teacher after the problem is attempted, which does not give learners an opportunity to reflect on their answers. So far, we have developed a system that encourages trial and error by visualizing the learner's answer for the mathematics of vectors and having them interact with it. However, there was a possibility that some learners would only look at the visualized figures to determine correctness and would not reflect on the errors they were making. In this study, we proposed and developed a system that requires learners to interact with figures on the system side, thereby promoting greater understanding of the relationship between mathematical problems and their answers.