• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.535-555
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• 2007

The framework for mathematics assessments traditionally has been organized around two dimensions, a content dimension specifying the subject matter to be assessed within mathematics, and a cognitive dimension specifying the domains or thinking processes to be assessed. The cognitive dimensions describe the sets of behaviors expected of students as they engage with the mathematics content. The purpose of this paper is an attempt to make diversify and concrete the sets of behaviors by reviewing the current strands suggested by CAST(College Scholastic Ability Test), assessment framework developed by KEDI, and NAEA(National Assessment of Educational Achievement), and as famous foreign tests PISA, TIMSS, NAEP and NCTM.

• Research in Mathematical Education
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• v.26 no.4
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• pp.291-310
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• 2023

In this paper, we propose a theoretical framework for Chinese high school mathematics teachers use new textbooks based on the work of Remillard (1999) and Chau (2014). Based on this framework, a multiple case approach was used to investigate how two high school mathematics teachers from Shanghai use new textbooks. The results suggest that in the curriculum mapping arena, both the novice teacher and the expert teacher often planned to appropriate the unit content, and sometimes planned to add supplemental content. When organizing the unit content, novice teacher always planned to follow the new textbook in sequence, while expert teacher often would follow the new textbook in sequence, but sometimes planned to rearrange the unit content. In the design arena, both the novice teacher and the expert teacher tended to appropriate the introduced tasks and definitions. The novice teacher often planned to appropriate the example problems and exercise problems, while the expert teacher often intended to flexibly use the example problems and exercise problems. In the construction arena, the novice teacher seldom adjusted the planned tasks; in contrast, the expert teacher adjusted the planned tasks more frequently. In the reflection arena, the novice teacher often thought she should improve the mathematics tasks, while the expert teacher almost always thought he needed to improve the mathematics tasks. The framework shown in this paper provides a tool to investigate how mathematics teachers use textbooks.

• The Mathematical Education
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• v.47 no.4
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• pp.487-503
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• 2008

In this paper, descriptive assessment method for middle school mathematics was evaluated by developing a framework for designing and grading problems for descriptive assessment and analyzing the effectiveness of the problems. The new descriptive assessment problems were developed by reviewing the current 7th National Mathematics Curriculum of Korea and aligned mathematics textbooks to define a set of problem design principles and evaluation framework for the assessment strategy. The developed problems were first pilot tested and then revised based on the feedback from the test. The final version was field tested by 100 students in 7th grade middle school. After the field test, the problems were graded by two middle school math teachers and one math education researcher to determine the overall correlation between graders and also to analyze effectiveness of the evaluation framework of the test. This result of this study is expected to assist in the further development of descriptive problems and grading framework by providing a reference work for teachers to better understand the process and the limitations of executing the new assessment strategy.

• Research in Mathematical Education
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• v.26 no.1
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• pp.39-43
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• 2023

Choosing to See: A Framework for Equity in the Math Classroom is a book intended to be a practical tool for teachers to build empowering mathematics classrooms for their students from marginalized groups. Pamela Seda and Kyndall Brown provide concrete guidance using seven key principles, the ICUCARE (pronounced "I See You Care") Equity Framework, to provide a pathway for teachers for how to meaningfully make their classrooms a more equitable space for all students.

• Education of Primary School Mathematics
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• v.26 no.4
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• pp.277-298
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• 2023

Despite the significance of teacher guidebooks as a support for teacher learning, there are few studies that address the educative features of teacher guidebooks. The purpose of this study is to develop a framework for analyzing the educative features of teacher guidebooks for elementary school mathematics. The framework developed by Fuentes and Ma(2018) for analyzing teacher guidebooks, "Teacher Learning Opportunities in Mathematics Curriculum Materials", was used as an initial framework by adding the unit development flow that reflects on the organizational features of teacher guidebooks in Korea for elementary mathematics. Then, the framework was modified and supplemented by testing 10 types of teacher guidebooks for Grades 3 and 4 per six units reflecting on different mathematical strands. As a result, the final framework expanded the initial framework and added elements related to each dimension of the framework according to the unit development flow. The analytical framework developed in this study can be used to closely analyze the educative features of teacher guidebooks of Korean elementary school mathematics in the future and to develop teacher guidebooks to promote teacher learning.

• Journal of Educational Research in Mathematics
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• v.20 no.2
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• pp.121-143
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• 2010

In this article, I reviewed current state of researches about mathematics instruction in Korea and sought ways and methodologies of future research. I analyzed articles which were published after year 2000 and were targeted to mathematical instruction itself. After collecting articles, I classified them according to research subject, method and analysis framework, purpose and focus, research perspective and keyword. Subsequently, I analyzed tendency of each research and theoretical framework of them. Based on upper results, I drew directivity of mathematics instruction research at two aspects. First, I found and suggested elements with which framework of mathematics instruction analysis should equip. Secondly, I explored main tasks of mathematics instruction research.

• Journal of The Korean Association For Science Education
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• v.32 no.6
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• pp.1072-1086
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• 2012

Science, Technology, Engineering, and Mathematics (STEM) education in the U.S. has been identified as a significant national reform in K-16 education and curriculum in order to prepare students for the global economy of the 21st century. Korea has been facing very similar challenges to improve science, technology and mathematics education, in particular, the affective aspect of learning science and mathematics. Science, Technology, Engineering, Arts, and Mathematics (STEAM) education has become a crucial issue in Korean education system. The major purpose of this exploratory study is to inform the exemplary framework of STEAM education in the U.S. for Korea and to provide descriptive and analytical accounts on STEAM teaching and learning as an innovative integrated convergence education. This study integrates the outcomes of research papers on STEM education and recent literature. It employs content analysis methodology qualitatively by analyzing and synthesizing the findings, conclusions, discussions, and recommendations of accumulated research works related to STEM/STEAM education. This study will help gain a stronger sense of the STEAM framework and will guide to develop the educational programs for Korea.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.497-520
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• 2006

The purpose of the study was to construct future research basis for large scale assessment framework by analyzing current domestic and international large scale assessment frameworks. Six frameworks were compared and analyzed. The characteristics of TIMSS, PISA, NAEP, NECAP were described in detail, and three frameworks, Korea, the United States, and International, were compared and analysed.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.263-289
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• 2017

New mathematics textbooks for elementary school students are under development according to the 2015 national revised curriculum. Not only contents but also framework of textbooks may be interesting to the mathematics educators and researchers. Considering the high dependency on textbooks in elementary classrooms, the influence of the framework of textbooks in mathematics learning cannot be overlooked. The unit and lesson frameworks of the textbook are important because they are directly related to the quality of mathematic lessons, especially when teachers make a lesson plan based on the unit and lesson frameworks of the textbook. This study is to analyse the unit and lesson frameworks of elementary school mathematics textbooks and to find out elementary school teachers' preference about its analysed key points. For longitudinal analysis, we selected 3rd-grade mathematics textbooks of 5th, 6th, 7th, the 2007, and the 2009 national revised curriculums. For horizontal analysis, we selected 3rd-grade mathematics textbooks of Korea, Japan, United States and Finland. We compared unit and lesson frameworks of various textbooks, and abstracted key elements of the textbook frameworks, and constructed survey questions. Looking at results from survey questions based on analysed key points, we were able to grasp the teachers' preference for unit and lesson frameworks for mathematics textbook. Based on the results of this study, some implications for the development of framework for new mathematics textbooks are suggested.

• Journal of the Korean School Mathematics Society
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• v.23 no.4
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• pp.449-468
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• 2020

TIMSS is a representative international comparative study that analyzes changes in mathematics and science achievement, and it collects information on the educational system, curriculum, teaching and learning situation of participating countries as well as research and check, and provides implications for each country's mathematics and science education. Although domestic TIMSS studies focused on the results of achievement related to the evaluation of mathematics, not many have taken a closer look at the content and characteristics of the assessment framework. Therefore, the purpose of this study was to analyze the characteristics of the TIMSS 2019 mathematics assessment framework, and to derive implications for the mathematics curriculum and mathematics learning by examining the students' study time in light of the Korean mathematics curriculum. The implications derived from the results of this study are summarized as follows: First, it is necessary to check the connection between content elements in the mathematics and education process. Second, it is necessary to check the appropriateness and connectivity of the learning timing of the content elements in the mathematics and education courses. Finally, it is necessary to verify that the hierarchy of content areas and the structure of content systems in mathematics and education courses are consistent with the direction of mathematics education at the international level. This study can be used as a basis for mathematics and curriculum revisions, and can be used to set directions for the development of large-scale evaluation frameworks.