• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.1-22
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• 2017

The properties of arithmetic are considered as essential to understand the principles of calculation and develop effective strategies for calculation in the elementary school level, thanks to agreement on early algebra. Therefore elementary students' misunderstanding of the properties of arithmetic might cause learning difficulties as well as misconcepts in their following learning processes. This study aims to provide elementary teachers a part of pedagogical content knowledge about the properties of arithmetic and to induce some didactical implications for teaching the properties of arithmetic in the elementary school level. To do this, elementary school mathematics textbooks since the period of the first curriculum were analyzed. These results from analysis show which properties of arithmetic have been taught, when they were taught, and how they were taught. Based on them, some didactical implications were suggested for desirable teaching of the properties of arithmetic.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.523-545
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• 2010

Mathematical communication has been emphasized not only as the process of learning mathematics but also as the objective of mathematics education. However, little studies have been conducted with regard to what to consider and how to implement in the actual classroom for promoting mathematical communication. Given this background, this paper implemented a mathematics instruction in each of 2nd, 4th, and 6th grade classrooms in which specific learning objectives were considered to promote discourse-based mathematical communication. It then analyzed the degree by which such learning objectives were achieved and the linguistic interactions between the teacher and students in each classroom. This paper finally provided issues and suggestions for effective discourse-based instruction in mathematics classroom by analyzing similarities and differences among the three classrooms.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.415-441
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• 2017

The purpose of this study is to develop elementary school math classes for the gifted and talented with a focus on social issues to investigate the possibility of character education through specialized subject classes. As suggested in the goals of the math education for social justice, which provide the fundamental theoretical basis, through mathematics activities with a theme of social issues, mathematically gifted and talented young students can critically perceive social issues, express a sense of mathematical and critical agency throughout the course and develop a willingness and mindset to contribute to social progress. In particular, the concept of Figured Worlds and agency is applied to this study to explain the concept of elementary math classes for the gifted and talented with a focus on social issues. The concept is also used as the theoretical framework for the design and analysis of the curriculum. Figured Worlds is defined as the actual world composed of social and cultural elements (Holland et al., 1998) and can be described as the framework used by the individual or the social structure to perceive and interpret their surroundings. Agency refers to the power of practice that allows one to perceive the potential for change within the Figured Worlds that he is a part of and to change the existing Figured Worlds. This study sees as its purpose the fostering of young talent that has the agency to critically perceive the social structure or Figured Worlds through math classes with a theme of social issues, and thus become a social capital that can contribute to social progress.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.1-16
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• 1997

Children should have opportunities to experience problem solving individually with strategies for developing their problem solving abilities. To make an instructional design for individual teaming, problem solving activities were classified into categories like individual activities, individual activities within a group, and team teaching. A flow of teaching and teaming process was designed before, and concrete and semi-concrete materials were used in an experimental teaching, which was analysed in this research.

• Research in Mathematical Education
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• v.19 no.2
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• pp.117-139
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• 2015

For the purpose of determining neurophysiological mechanism of math anxiety, we conducted an EEG measurement for 22 sixth grade elementary students including 11 students with high math anxiety (HMA group), and 11 students with low math anxiety (LMA group). We found that in HMA group, delta wave was significantly generated from the right frontal lobe, and in LMA group, four paths are clearly connected while they perform math tasks (right inferior occipital gyrus ${\leftrightarrow}$ left superior parietal lobule /left middle frontal gyrus ${\leftrightarrow}$ left inferior parietal lobule /left middle frontal gyrus ${\leftrightarrow}$ right inferior parietal lobule / right middle frontal gyrus ${\leftrightarrow}$ right inferior parietal lobule). According to the above results we suggest that math anxiety is related to emotions associated with pain, reduces working memory and has a negative effect on math performance.

• Research in Mathematical Education
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• v.19 no.3
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• pp.155-174
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• 2015

The goal of this study was to examine the three components of a laboratory class cycle that empowered teachers to change their teaching practices. Six teachers and their administrator in an elementary school in the southeastern United States participated in the study. All the teachers were interviewed, and their mathematics lessons were observed at the end of each cycle of laboratory classes. The study revealed how planning, observing, and critiquing mathematics lessons as a team assisted the teachers' learning and teaching. We identified opportunities for the teachers to experiment with different teaching approaches, and we found that support from the team and from the school were key factors for the laboratory class cycle to function effectively.

• Education of Primary School Mathematics
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• v.26 no.3
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• pp.199-217
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• 2023

Affective characteristics have been consistently emphasized in mathematics education, but students' confidence or interest in mathematics has not changed significantly. This study analyzes the factors affecting the affective characteristics according to students' academic achievements, which have not been studied so far. The study was surveyed 593 students in the 5th and 6th grades, divided into school mathematics education and social-environmental factors. As a result of the study, students cited 'mathematics class at school' as the factor that had the most influence on their affective characteristics, regardless of academic achievement. Excluding 'mathematics classes at school', upper level students said that 'private education' and 'college entrance exams and jobs', had the most influence on their affective characteristics. Middle level students said that 'assessment at school' and 'private education' had the most influence on their affective characteristics. Lower-level students said that 'school evaluation' and 'mathematics textbook' had the most influence on the affective characteristics. In particular, as the academic achievement level decreased, students' participation in classes decreased rapidly. Most students said that the mathematics content they were learning was too difficult for that reason. Considering these research results, it would be effective to apply methods according to students' academic achievement to some extent in order to improve affective characteristics.

• Communications of Mathematical Education
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• v.37 no.4
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• pp.675-695
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• 2023

To learn mathematics effectively, understanding vocabulary is essential. Accordingly, as a way to present vocabulary for mathematics education, high-frequency vocabulary was extracted from the 2009 revised 1st and 2nd grade mathematics textbooks and the 2015 revised 1st and 2nd grade mathematics textbooks. At this time, mathematics textbooks were analyzed by grade and semester, and vocabulary with a common frequency of 5 or more was extracted. In order to use it effectively in school settings, common vocabulary for each grade and intensive vocabulary for each semester were presented. As a result of the study, 61 vocabulary words for first grade education and 121 vocabulary words for second grade education were selected. As a result of analysis by vocabulary level, various levels of vocabulary from grades 1 to 5 were used. As a result of analysis by vocabulary type, the proportion of academic words increased similarly, but the proportion of technical words was found to be highest in the first semester of the second year. Based on these results, the extracted vocabulary for mathematics education is used as a resource for vocabulary instruction for students' mathematics education in each grade to help students learn mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.7 no.1
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• pp.65-86
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• 2003

Mathematics textbooks are substitutive showing real characters of didactic transposition in pseudo-contextualization and pseudo-personalization. This study analyzed statistical graphs in elementary school mathematics textbooks according to the first to the 7th curriculum in Korea. It focused on the didactic principles used in those methods through those view of Didactic Transposition Theory. The features of the elementary school mathematics textbooks in Korea are investigated and described ethnomethodologically according to each curriculum periods in dividing bar graph, line graph, pictograph, graph of ratio, histogram. The teaching sequences and methods of the statistical graphs, order and methods of sub-learning activities, teaming data, matter of the learning activity indicator were summarized. Usually, the teaching sequences, excepting the graphs of ratio, statistical graphs are introduced in the second semester of each grade. The graph of ratio is introduced in the first semester of 6th grade. As a result of analysing sub-Loaming activities, using them increased from the first to the 7th curriculum and its form was fixed constructive and stable at the 4th curriculum textbooks. As a result of analysing the teaming data, the data of the social aspects are used more frequently and the data of the individual preferences trended more gradually. As a result of analysing the matter of the teaming activity indicators, concept-explanation question style were used more frequently. Statement-practice style and consideration style trended gradually. Concluding remarks are: First, the didactic transposition of the elementary school mathematics textbooks developed systematically according to the first to the 7th curriculum; Second, mathematics textbooks gradually introduced the positive learning style of activity and the learners' spontaneousness; Third, more concrete practice activities and reflective activities were variously introduced considering the level and interest of each elementary student.

• Communications of Mathematical Education
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• v.21 no.1 s.29
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• pp.107-124
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• 2007

This study, at this point where a national attention is being focused on the special education for brilliant children after the enactment of the law regarding the promotion of the special education for brilliant children and the establishments of various policies on the education of excellence, investigated and analyzed the perceptions of students who are participating in the program for elementary school brilliant children on mathematics. First, the understanding of the area of the definition of brilliant students by the teachers with the institutions for the special education for brilliant children that use the program for elementary school brilliant children on mathematics should be increased. Second, the professionality of the teachers should be secured for an efficient operation of the program for elementary school brilliant children on mathematics. Third, the students who participated in the special education lot brilliant children tended to be self-initiative in participating in the program but the self-initiative aspect was insufficient in the lessons. Fourth, the students who are participating in the special education for brilliant children have positive opinions on the contents and methods of the lessons. Fifth, as for the materials for brilliant children's learning supplied to the program for elementary school brilliant children on mathematics, the brilliant students perceive them as the teaching materials for brilliant children. In this thesis, the program for special education for brilliant children was assessed and analyzed through the questionnaires to the teachers and students participating in the program. More abundant brilliant children programs should be developed so that the programs suitable the brilliant students can be provided to the students and the studies to improve the programs with regards to the effectiveness etc should be continually done from now on.