• The Mathematical Education
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• v.49 no.2
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• pp.267-279
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• 2010

Mathematics is the subject which is distinctive in logical hierarchy, so the dificiency of prior learning or lack of understanding can result in learning disabilities of follow-up study. To minimize the learning disabilities, we should percieve student's problems and correct them through "Error Analysis" so that they can make up meaningful learning. Especially, in the case of division, its meaning is various, and the interpretation of the quotient and the remainder is the difference according to the caculation results, so students are likely to make errors often. Therefore, in this study, I presented the measures of how to instruct them under the circumstances in which division is applied by analyzing examples of incorrect answers.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.549-569
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• 2015

Reflecting on own beliefs about teaching and learning, developed during "the apprenticeship of observation", is a central task for pre-service years. This case study analysed a lesson observation course which could identify, challenge pre-service teachers' folk pedagogy about classroom communications and induce to change of beliefs about teaching and learning. Our analysis shows that targeting and refuting pre-service teachers' specific belief may be an effective strategy for teacher educators to foster new teaching practice.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.465-494
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• 2017

Teachers' conceptions about teaching are important driving and also interfering forces which might affect their actual practice and training. This research explores preservice mathematics teachers' conceptions of teacher discourse, through tasks analyzing and evaluating teachers' moment-to-moment discourse moves which occur in authoritative and dialogical classroom discourse. Some facets of the preservice teachers' conceptions were congruent with dialogical discourse: they criticized teacher's one-way communication and ignoring students' voices; they supported teacher's questions probing students' thinking and receptive attitude to ward students' wrong answers. However, some deep and subtle facets of their conceptions were more congruent with authoritative discourse rather than dialogical discourse: they positively perceived teacher's closed, information seeking questions that funnel students' thinking to the predetermined procedure; they emotionally resisted teacher's questions which might facilitate dialogical engagement by allowing students to judge mathematical correctness of ideas from their peers. Preservice teachers' conceptions of teacher discourse explored in this research provide useful foundations on which to build continuous and coherent teacher professional development programs about classroom discourse.