Abstract
In the academic year 2004 Faculty of Environmental Studies in Hiroshima Institute of Technology stopped coordinating the mathematical classes by the placement tests, because a number of students found themselves mismatched to assigned classes. This was due to the diversifying types of entrance exams. Instead the mathematics classes are now coordinated by the students′ learning backgrounds. This paper presents the method of mathematics education based on class coordination by learners′ backgrounds and the annotation on the time-history of the students′ achievements for four years from the academic year 2004 to show the validity of this novel method of education for diversified students.