• School Mathematics
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• v.16 no.3
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• pp.519-542
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• 2014

This study analyzed characteristics which emerged while 45 secondary school teachers observed a video clip about a statistics instruction. The aim of this study based on the analysis was to deduct implications in terms of the various means which would enhance teachers' knowledge in teaching statistics and assist in designing statistics education programs for teachers and professional development initiatives. To achieve this goal, this research firstly developed framework descriptors which provided this study with theoretical foundations to investigate what characteristics appeared in the teachers' observation. Secondly, this study probed the observation results from the teachers in the light of the framework. Therefore, some issues in the teacher education program for teaching statistics were thirdly identified in the categories of 'focus of instruction', 'role of the teacher and discourse' and 'data and technology' based on the analysis. This research inspires the elaboration of exactly what features effective statistics classes have through the framework descriptors and additionally the elucidation of essential matters relevant to statistics education on the basis of the issues.

• School Mathematics
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• v.10 no.4
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• pp.489-514
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• 2008

Since 2005 KICE - TLC has focused on the development of supporting programs for teaching consultation and pedagogical content knowledge(PCK). The purpose of this year's research was to explore types of pedagogical content knowledge(PCK, hereafter) for effective teaching mathematics topics drawn from the amended national mathematics curriculum announced in February, 2007. Based on this year's PCK research, we will develop mathematics teaching consulting program from 2009 research by field testing of developed mathematics PCK. The major source of data for this study was transcripts of audiotapes of the group discussions that took place during the regular weekly meetings where we compared and analyzed three teachers' classes. We also conducted open-ended interviews with the three teachers and collected reflective notes written by participants. This research provided teachers with an opportunity to think about what is important in the teaching of a topic and why, and to consider possibilities for future development. This research highlights the importance of teacher meetings where teachers share their expertises and insights through reflection and dialogue. By introducing the concept of PCK, examining, analyzing and modelling it in pre-service and in-service teacher education practice, we can contribute to extend teachers' professional learning. Finally, just like quality student learning, quality teaching and teacher education practices require critical reflection and careful scaffolding.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.673-698
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• 2012

In this study, we suggest the standards for future mathematics classroom from environment, teachers, and students aspects. Future mathematics classroom should have the three environmental standards that perform responsible roles and appropriate functions of physical resources and classroom space. In the teacher standards' domain, we presented as a total of eight kinds. Concretely, we proposed the four standards for improvement of mathematical teacher's instructional expertise and the four standards for improvement of abilities of learners. The students standards consist of 4 domain a such as 3 standards of mathematical investigation and problem solving, 3 standards of cooperation and communication, 1 standard of utilization and operation of mathematical technologies and learning support systems, 2 standard of digital ethics and citizenship. Also, we developed the mathematical convergence instruction model and reported the results of its application after the lessons conducted in the classroom equipped with advanced environmental and technologies. We presented the convergence instruction model and scenarios focused on thoughts and actions of teachers and students in the future mathematics classroom.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• The Mathematical Education
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• v.62 no.1
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• pp.95-115
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• 2023

Even the teachers who agree with the necessity of effective mathematical discussions find it difficult to orchestrate such discussions in the actual lessons. This study focused on analyzing the difficulties 15 elementary school teachers faced in applying "the five practices for orchestrating productive mathematics discussions" to their lessons. Specifically, this study analyzed the process of planning, implementing, and reflecting on the lessons to which three or four teachers as a teacher community applied the five practices. The results of this study showed that the teachers experienced difficulties in selecting and presenting tasks tailored to the student levels and class environment, monitoring all students' solutions, and identifying the core mathematical ideas in student solutions. In addition, this study revealed practical and specific difficulties that had not been described in the previous studies, such as writing a lesson plan for effective use, simultaneously performing multiple teacher roles, and visually sharing student presentations. This study is expected to provide practical tips for elementary school teachers who are eager to promote effective mathematical discussions and to provoke professional discourse for teacher educators through specific examples.

• East Asian mathematical journal
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• v.28 no.2
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• pp.135-158
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• 2012

The ideals of the rings of integers are used to induce rational number system as operators(=group homomorphisms). We modify this inducing method to be effective in teaching rational numbers in secondary school. Indeed, this modification provides a nice model for explaining the equality property to define addition and multiplication of rational numbers. Also this will give some explicit ideas for students to understand the concept of 'field' efficiently comparing with the integer number system.

• Communications of Mathematical Education
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• v.29 no.1
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• pp.73-90
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• 2015

When teachers make up assessment questions regarding the content area that contains shapes and graphs, they should present the pictures so that their role might be represented properly. We exhibited the process of constructing shapes and graphs utilizing GeoGebra, and simultaneously analyzed the process of developing and revising questions using this and awareness changes in teachers who participate in the teacher's training focused on improving professionalism for making up questions such as CSAT(College Scholastic Ability Test). Through the survey they mentioned that making questions utilizing algebraic construction overcame the limitations of making up questions and played an instrumental role in developing creative questions. Based on the results, We suggested effectiveness of making up questions utilizing algebraic construction. Our intention was to improve the skills of teachers for making up questions such as CSAT and to suggest implications about it.

• The Mathematical Education
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• v.60 no.3
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• pp.341-362
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• 2021

The purpose of this study is to explore the qualitative characteristics of pre-service teachers' motivation while they are participating in group activities for developing mathematical essay assessment problem and revising it. For this purpose, we analyzed individual factors about group learning activities as well as contextual factors about practical competency (in developing and revising mathematical essay assessment problem through collecting data of student responses to the problem). As results of data analyses, autonomy, among individual factors regarding group learning activities, was one of the main characteristics in attainment value, utility value, and intrinsic value, whereas task, authority, and grouping, among contextual factors regarding practical competency, appeared to have a positive impact on task value. These results suggest how to think of specific ideas and articulate them in designing a curriculum to develop student-evaluation expertise for pre-service teachers.

• Korean Journal of Comparative Education
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• v.20 no.2
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• pp.95-128
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• 2010

This article presents a one and half-year process of Lesson Study conducted at a K-8 school in an urban district in the eastern U.S. Lesson Study, a Japanese form of professional development that centers on collaborative study of live classroom lessons, has spread rapidly in the U.S. since 1999 and has been argued as a promising alternative model for teacher-led school reform through professional development. The Lesson Study group described here was composed of five teachers, one administrator, and one instructional improvement coordinator belonging to the participant school and two instructional super-intendants from the school district. Data was collected from October 2007 to February 2009 and a qualitative case study method was employed for this study. Drawing a case of Lesson Study, this article intended to show how Lesson Study group members participated in planning, teaching, observing, discussing, and improving lessons collaboratively for student learning by enhancing teacher professional competence so that find directions for future implementation in Korea. This article investigates (1) process of Lesson Study, (2) issues Lesson Study group members mainly dealt with, and (3) changes have taken place in Lesson Study as it is conducted over time. (4) Finally, this article concludes with challenges to adopting Lesson Study successfully in Korea.

• The Journal of the Korea Contents Association
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• v.18 no.10
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• pp.320-334
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• 2018

The purpose of this study is to analyze research trends in international development and cooperation on education and to suggest directions for the Korean teachers and teacher education to achieve 'Sustainable Development Goals (SDGs).' The examination of 8 databases resulted in the identification of 2,945 studies, and 6 of these references met the inclusion criteria for systemic review. Major findings revealed that pre- and in-service teachers recognized the necessity of international development education but had a low degree of teacher efficacy. The teachers who participated in ODA education programs have experienced difficulties due to insufficient understanding of local sites and role performance. Then, a couple of studies of mathematics and early childhood education compared the Korean national curriculum and education system with developing countries'. Lastly, it is important to have a sustainable system which promotes all teachers, including retired ones, in global development and cooperation on education. For the successful achievement of SDGs, Korean teachers should develop their expertise, a deep understanding of partner countries, and stable quality education for the underprivileged.