Abstract
The purpose of this study is to develop a teaching method for the mathematics specialized subjects that contribute to the training of teachers with specialized knowledge and skills. To this end, we conducted an educational practice of “Linear Algebra I” for 22 students in their first year of university, incorporating opportunities for them to present the results of their inquiry and analyzed its educational effects. In this educational practice, we used the teaching materials on the perfect shuffle as an inquiry task. The students engaged in inquiry activities in eight groups. Then, they presented the results. We attempted to identify educational effects from the data collected by observing and recording the lesson, collecting students' written comments, and interviewing students. As a result, educational effects on mathematics and on teacher training were identified.