Japan Journal of Mathematics Education and Related Fields
Online ISSN : 2434-8899
Print ISSN : 1349-7332
Development of a Rating Scale on Mathematical Ability in terms of Thinking, Expression and Mathematical Attitude, and Its Discriminant Performance, Reliability and Validity
Atsushi TAMURA
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2016 Volume 57 Issue 1-2 Pages 13-22

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Abstract
The purpose of this study is to develop “A Rating Scale for Mathematical Ability, in terms of Thinking, Expression and Mathematical Attitude” and to examine the discriminant performance, reliability, and validity of its questions. This study shows the process of making the above questionnaire by taking into account the findings from the past studies on questionnaire development. This questionnaire was administered to 398 participants of the preliminaries of Japan Mathematical Olympiad and 454 high school students. T-test and discriminant analysis of the results revealed that the questionnaire shows high discriminant performance. Also, the analysis of the Cronbach's alpha coefficient, ceiling effects and floor effects revealed that it has a high reliability. Furthermore, comparison with existing questionnaires proved that the current questionnaire has a certain validity. The questionnaire developed in this study was proved to have the potential to be used as a standard measurement for mathematical abilities.
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© 2016 Mathematics Education Society of Japan
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