• The Mathematical Education
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• v.63 no.1
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• pp.63-83
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• 2024

The purpose of this study is to analyze the mathematical connection components of the tasks included in the trigonometric ratio unit of 3rd grade middle school textbook based on the 2015 revised mathematics curriculum and investigate teachers' perceptions and practical measures regarding these components. To this end, we analyzed the characteristics of mathematical connection tasks included in the trigonometric ratio units in nine types of 3rd grade middle school mathematics textbooks, and we conducted a questionnaire survey and interviews with one in-service math teachers in pre interview and with two in-service math teachers in this interview to investigate their perceptions and practical measures. As a result of the study, the number of tasks with external connection in the trigonometric ratio unit were less than those of internal connection. In addition, in terms of teachers' perceptions and practical measures, the perspective of analyzing tasks with mathematical connections varied depending on the teacher's perspective, and the practical measures varied accordingly. These findings are significant in that they reveal the relationship between mathematical tasks, teacher perceptions and measures to foster effectively students' mathematical connections.

• Journal of Practical Engineering Education
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• v.12 no.2
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• pp.353-361
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• 2020

The purpose of this study is to investigate the demands for supplementary training for the heads of vocational training institutions and vocational training teachers and instructors, and to suggest the direction of supplementary training. To this end, a survey was conducted with 130 heads of vocational training institutions and 535 vocational training teachers and instructors. As a result of the survey, most respondents were sympathized with the need for supplementary training in both group, and their training needs were high to acquire new skills and improve their skills as teachers. In addition, opinions were gathered on measures to encourage participation in supplementary training and factors that hinder participation in supplementary training. Based on this, suggestions were made for the direction of supplementary training.