• Communications of Mathematical Education
• /
• v.21 no.1 s.29
• /
• pp.107-124
• /
• 2007

This study, at this point where a national attention is being focused on the special education for brilliant children after the enactment of the law regarding the promotion of the special education for brilliant children and the establishments of various policies on the education of excellence, investigated and analyzed the perceptions of students who are participating in the program for elementary school brilliant children on mathematics. First, the understanding of the area of the definition of brilliant students by the teachers with the institutions for the special education for brilliant children that use the program for elementary school brilliant children on mathematics should be increased. Second, the professionality of the teachers should be secured for an efficient operation of the program for elementary school brilliant children on mathematics. Third, the students who participated in the special education lot brilliant children tended to be self-initiative in participating in the program but the self-initiative aspect was insufficient in the lessons. Fourth, the students who are participating in the special education for brilliant children have positive opinions on the contents and methods of the lessons. Fifth, as for the materials for brilliant children's learning supplied to the program for elementary school brilliant children on mathematics, the brilliant students perceive them as the teaching materials for brilliant children. In this thesis, the program for special education for brilliant children was assessed and analyzed through the questionnaires to the teachers and students participating in the program. More abundant brilliant children programs should be developed so that the programs suitable the brilliant students can be provided to the students and the studies to improve the programs with regards to the effectiveness etc should be continually done from now on.

• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.499-524
• /
• 2015

In the present study, we propose four participating $8^{th}$ grade students' genetic decomposition of congruent transformation and investigate the role of their dragging activities while understanding the concept of congruent transformation in GSP(Geometer's Sketchpad). The students began to use two major schema, 'single-point movement' and 'identification of transformation' simultaneously in their transformation activities, but they were inclined to rely on the single-point movement schema when dealing with relatively difficult tasks. Through dragging activities, they could expand the domain and range of transformation to every point on a plane, not confined to relevant geometric figures. Dragging activities also helped the students recognize the role of a vector, a center of rotation, and an axis of symmetry.