A Study on Convergence and Connection for the Analysis of Mathematical Learning Conditions-Focused on Mathematics Problem Solving Results of the Students
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In this paper, a new method of analyzing individual mathematical learning conditions has been searched based on problem solving results of students. First, if a student is able to solve infinite number of problems, the student was assumed as being able to solve finite number of problems. And the result of solving infinite number of problems and the result of solving 'minimum number of problems' have been formed to become equal. In order to make these two results equal, the number of <plane> have been set up considering number of problem solving methods dealt with in school mathematics while the method of analyzing the learning condition by students has been formed using ‘convergence’ and ‘connection’. Next, in order to visually clarify the learning condition of students expressed on the <plane>, it has been formed to be ex-pressed on the 'sphere'. The analysis method formed based on problem solving results of students is able to identify the student's learning condition of the past and the learning condition of the present in general along with the advantage of being able to identify the lacking mathematical contents or concept by each individual student in relation to the study contents to be learned in the future.
Abstract
In this paper, a new method of analyzing individual mathematical learning conditions has been searched based on problem solving results of students. First, if a student is able to solve infinite number of problems, the student was assumed as being able to solve finite number of problems. And the result of solving infinite number of problems and the result of solving 'minimum number of problems' have been formed to become equal. In order to make these two results equal, the number of <plane> have been set up considering number of problem solving methods dealt with in school mathematics while the method of analyzing the learning condition by students has been formed using ‘convergence’ and ‘connection’. Next, in order to visually clarify the learning condition of students expressed on the <plane>, it has been formed to be ex-pressed on the 'sphere'. The analysis method formed based on problem solving results of students is able to identify the student's learning condition of the past and the learning condition of the present in general along with the advantage of being able to identify the lacking mathematical contents or concept by each individual student in relation to the study contents to be learned in the future.
참고문헌 (14)
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