백워드 이론을 반영한 수학 수행과제 활용 가능성 및 활성화 방안 탐색

Abstract

The purpose of this study was to explore the possibility of mathematical instruction through performance task activities based on the The Backward Design, which was suggested at first by Wiggins and McTighe in 1998. The Design deals with a performance assessment task involving the whole objective and its entire content of a lesson. Namely, a teacher suggests at first such a large and authentic performance assessment task in class. Students are guided to recognize roughly the whole objective (the several learning goals) and then through the accomplishment of the task, they are to gain the sound understanding of the entire content. Based on the Backward Design, this study established the mathematical instructional materials, which deal with the concept of 'the sector' taught in middle school, with one large performance task including three small tasks. It is important that in the lesson students be guided to achieve the several learning goals by themselves through reasoning activities. For this purpose, a formal interview was carried out by the subject of three middle school mathematics teachers. As a result, according to the responses of the subjects, in order to implement the instruction utilizing the performance tasks more efficiently in future, it is required that a large performance task should be selected or developed including the content or problem contexts to be relevant with the real-life challenging situations. In addition, to make students enhance reasoning skills, it is strongly requested that the tasks including the utilization of supplementary materials such as technological devices or manipulatives be dealt with in a lesson.