• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.639-661
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• 2017

This article reviews several classroom observational frameworks and introduces one of them, Teaching for Robust Understanding of Mathematics (TRU Math) framework, in more detail. The TRU Math framework has unique features, especially of which it helps researchers and practitioners analyze lessons with a focus on opportunities to learn and on how students access to the learning opportunities in mathematics classrooms rather than focusing on teacher behaviors. In this article, using this TRU Math framework, a Korean high school mathematics lesson was analyzed. The analysis illustrates the aspects of good mathematics teaching according to the five dimensions that we theorized. It provides implications on how to better use the tool for both research and practice in Korean school culture and teacher professional development contexts.

• The Mathematical Education
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• v.61 no.2
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• pp.339-357
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• 2022

This study explores pre-service secondary mathematics teachers (PSTs)' noticing competency. 17 PSTs participated in this study as a part of the mathematics teaching method class. Individual PST's essays regarding the question 'what effective mathematics teaching would be?' that they discussed and wrote at the beginning of the course were collected as the first data. PSTs' written analysis of an expert teacher's teaching video, colleague PSTs' demo-teaching video, and own demo-teaching video were also collected and analyzed. Findings showed that most PSTs' noticing level improved as the class progressed and showed a pattern of focusing on each key aspect in terms of the Teaching for Robust Understanding of Mathematics (TRU Math) framework, but their reasoning strategies were somewhat varied. This suggests that the TRU Math framework can support PSTs to improve the competency of 'what to attend' among the noticing components. In addition, the instructional reasoning strategies imply that PSTs' noticing reasoning strategy was mostly related to their interpretation of noticing components, which should be also emphasized in the teacher education program.