• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.511-536
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• 2017

The present study aims to investigate ways in which pre-service secondary mathematics teachers anticipate 1) students' responses to specific mathematical tasks which are chosen or devised by the participating pre-service teachers as requiring students' higher cognitive demand and, 2) their roles as math teachers to scaffold students' mathematical thinking. To achieve the goal, we had our pre-service teachers to engage in an adapted version of Spangler & Hallman-Thrasher(2014)'s Task Dialogue writing activity whose focus was to develop pre-service elementary teachers' ability to orchestrate mathematical discussion. 14 pre-service teachers who were junior at the time enrolled in the Mathematics Teaching Method Course were subjects of the current study. In-depth analysis of both Task Dialogues which pre-service secondary mathematics teachers wrote and audiotapes of the group discussions while they wrote the dialogues suggests the following results: First, the pre-service secondary teachers anticipated how students would approach a task based on their own teaching experiences. Second, they were challenged not only to anticipate more than one correct students' responses but to generate questions for the predicted correct-responses to bring forth students' divergent thinking. Finally, although they were aware that students' knowledge should be the crucial element guiding their decision-making process in teaching, they tended to lower the cognitive demands of tasks by providing students with too much guidance which brought forth the use of procedural knowledge. The study contributes to the field as it provides insights as to what to attend in designing teacher education course whose goal is to provide a foundation for developing pre-service teachers' ability to effectively orchestrate mathematical discussion.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.385-413
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• 2010

The purpose of this study is to set appropriate targets for school-year levels and types of mathematical communication. First, I classify mathematical communication into four types as Discourse, Representation, Operation and Complex and refer to them collectively as the 'D.R.O.C pattern'. I have listed achievement factors based on the D.R.O.C pattern hearing opinions from specialists to set a target, then set a final target after a 2nd survey with specialists and teachers. I have set targets for mathematical communication in elementary schools suitable to its status and students' levels in our country. In NCTM(2000), standards of communication were presented only from kindergarten to 12th grade students, and, for four separate grade bands(prekindergarten through grade 2, grades 3-5, grades 6-8, grades 9-12), they presented characteristics of the same age group through analysis of classes where communication was active and the stated roles of teachers were suitable to the characteristics of each school year. In this study, in order to make the findings accessible to teachers in the field, I have classified types into Discourse, Representation, Operation and Complex (D.R.O.C Pattern) according to method of delivery, and presented achievement factors in detail for low, middle and high grades within each type. Though it may be premature to set firm targets and achievement factors for each school year group, we hope to raise the possibility of applying them in the field by presenting targets and achievement factors in detail for mathematical communication.

• Cross-Cultural Studies
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• v.42
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• pp.261-283
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• 2016

The aim of this study is to consider the possibility of learning polite expressions of English using the mobile application Naver Band. To improve communicative competence, students need to develop sociolinguistic competence as well as grammatical and discourse competence. To be accordant to social context, the roles of the participants, and the purpose of the interaction, students have to make an appropriate utterance. When a hearer has a higher social status and is older than a speaker, or have low levels of familiarity, Korean native speaker tends to use polite expressions. Students need to learn polite expressions of English because English has a different honorific system from Korean. To realize the characteristics and function of polite language is one thing, but to learn it in a real classroom is another. This study attempts to apply the use of a mobile application, which is considered a user-friendly tool for students, into learning polite language using the UK historical drama, Downton Abbey. Two tests were administered to an experimental group that used the mobile application and a control group that used group work. The results of the two tests show that the use of the mobile application has a positive effect on learning polite expressions and is effective as an after-school activity. In an open-ended questionnaire, students tend to identify polite expressions as superior or high-level language forms and separate these forms from practical expressions. It should be noted as well that teachers need to consider instructing in modern English when using a historical drama in the teaching and learning of polite expressions.

• The Mathematical Education
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• v.62 no.4
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• pp.531-549
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• 2023

Despite the significance of mathematics teacher guidebooks as a support for teacher learning, there are few studies that address how elementary mathematics teacher guidebooks support teacher learning. The purpose of this study was to analyze the educative features of elementary mathematics teacher guidebooks for grades 3 and 4. For this, six units from each of ten kinds of teacher guidebooks were analyzed in terms of seven dimensions of Teacher Learning Opportunities in Korean Mathematics Curriculum Materials (TLO-KMath). The results of this study showed that mathematics content knowledge for teaching was richly provided and well organized. Teacher guidebooks provided teacher knowledge to anticipate and understand student errors and misconceptions, but were not enough. Sample dialogues between a teacher and students were offered in the teacher guidebooks, making it easier for teachers to identify the overall lesson flow and key points of classroom discourse. Formative assessment was emphasized in the teacher guidebooks, including lesson-specific student responses and their concomitant feedback examples per main activity. Supplementary activities and worksheets were provided, but it lacked rationales for differentiated instruction in mathematics. Teacher knowledge of manipulative materials and technology use in mathematics was provided only in specific units and was generally insufficient. Teacher knowledge in building a mathematical community was mainly provided in terms of mathematical competency, mathematical classroom culture, and motivation. This paper finally presented implications for improving teacher guidebooks to actively support teacher learning.

• Journal of the Korean earth science society
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• v.29 no.2
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• pp.189-203
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• 2008

Microcomputer Based Laboratory (MBL), by offering accurate and effective data collection and real-time graphs, enables students to reduce experiment time and, thereby, have deeper discussions concerning experimental results. This helps to emphasis the essential aspect of scientific inquiry; the process communication. Therefore, this study examined secondary school earth science MBL lessons with regards to the five basic aspects of scientific inquiry: "Asking", "Evidencing", "Explaining", "Evaluating" and "Communicating". It then investigated the level of argumentative communication between the students and teachers and also among the students themselves. For this study, three classroom activities were observed and videotaped, and teaching materials, textbooks and students' notes were collected. The transcribed data were analyzed from the perspective of scientific inquiry level and argument frames. The results showed that the scientific inquiry levels of the three classes were similar, except for the "Communicating" aspect, which appeared in only one episode. "Asking" was carried out by the teacher and then students were directed to collect certain data in the "Evidencing" stage. Furthermore, students were given possible ways to use evidence to formulate explanations and connections through the "Explaining" and "Evaluating" stages. In the argumentation analysis, most argumentative communication was identified as being associated with a given procedure, rather than with any scientific phenomena. In only one episode, did "Communicating" relate directly to any scientific phenomena. It can be concluded, that although MEL places emphasis on communication for authentic scientific inquiry, the environment required for such inquiry and argumentative communication can not be easily created in the classroom. Therefore, in order for authentic inquiry to take place in the MBL classroom, teachers should provide students with the opportunity to develop meaningful argumentation and scaffolding abilities.

• Journal of The Korean Association For Science Education
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• v.36 no.3
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• pp.471-483
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• 2016

The purpose of this study is to explore how students' epistemological framing and positional framing affect the role of wonderment questions related to the activation of conceptual resources and to investigate what contexts affect students' framings during scientific model construction. Four students were selected as focus group and they participated in collaborative scientific model construction of mechanisms relating to urination. According to the results, one student whose framings were "understanding phenomena" and "facilitator" asked wonderment questions, but the others whose framings were "classroom game" and "non-respondent" were not able to activate their conceptual resources. However, they were able to activate their conceptual resources when they shared the epistemological framing of "understanding phenomena" and shifted between the positional framings of "facilitator" and "respondent." Although they were able to activate their conceptual resources, these activated resources were not able to contribute to their model when they shifted to the framings of "classroom game" and "receiver." In contrast, when students constantly shared an "understanding phenomena" framing and dynamically shifted between the framings of "facilitator" and "respondent," they were able to activate various conceptual resources and develop their group model. The students' framings were affected by the contexts. These included: when students were confronted with cognitive difficulties and were not provided proper scaffolding; when the teacher played the role of answer provider and guided the activity with correctness; when there were several possible explanatory models that students could choose from; and when the teacher played the role of thought facilitator. This study contributes to supporting teaching and learning environments for productive scientific model construction.