• The Mathematical Education
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• v.58 no.1
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• pp.55-77
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• 2019

Textbooks play a very important role as a medium for implementing curriculum in the school. This study aims to analyze tasks for mathematical competencies in the high school 'mathematics' textbooks based on the 2015 revised mathematics curriculum emphasizing competencies. And our study is based on the following two research question. 1. What is the relationship between core competencies and mathematical competencies? 2. What is the distribution of competencies of tasks for mathematical competencies presented in the textbooks? 3. How does the tasks for mathematical competencies reflect the meaning of the mathematical competencies? For this study, the tasks, marked mathematical competencies, were analyzed by elements of each mathematical competencies based on those concept proposed by basic research for the development of the latest mathematics curriculum. The implications of the study are as follows. First, it is necessary to make efforts to strengthen the connection with core competencies while making the most of characteristics of subject(mathematics). Second, it needs to refine the textbook authorization standards, and it should be utilized as an opportunity to improve the textbook. Third, in order to realize competencies-centered education in the school, there should be development of teaching and learning materials that can be used directly.

• Journal of the Korean School Mathematics Society
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• v.23 no.2
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• pp.223-237
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• 2020

Artificial intelligence technology, which represents the era of the 4th Industrial Revolution, is now deeply involved in our lives, and future education places great emphasis on building students' capabilities for the principles and uses of artificial intelligence. Therefore, the purpose of this study is to develop the contents of AI related education in mathematics, which the relationship is closely connected to each other. To this end, I propose establishing two novel AI-related contents in mathematics education. One subject is related to learning the principle of machine learning based on mathematics foundation. In addition, I draw the core math contents dealt in following subject called 'Basic Mathematics for AI and Data Science.'

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.19-36
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• 2017

The purpose of this study was to analyze the research trends of elementary mathematics education in terms of topics, methods, subjects, mathematics content strands, and mathematical competencies. For this purpose, a total of 596 papers published in eight domestic journals during the recent seven years were analyzed. The results of this study showed that the popular research topics included learners' perspectives and abilities, analysis of curriculum and textbooks, and instruction and teaching methods, whereas studies on assessment and technology or manipulative materials did not get much attention. The results also showed that qualitative research methodology was used a lot with focus on students. The mathematics content strand which was most frequently studied was number and operations, and problem solving was most popular among the mathematical competencies. On the basis of these results, this paper includes several implications for the future research direction in elementary mathematics education.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.351-374
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• 2018

The purpose of this study is to support the understandings of teachers about the instructional strategies of collaborative problem solving and mathematical modeling as presented in the 2015 revised mathematics curriculum. For this, tasks of the Cubes unit from six grader's and lesson plans were developed. The specific problem solving processes of students and the practices of teachers which appeared in the classes were analyzed. In the course of solving a series of problems, students have formed a mathematical model of their own, modifying and complementing models in the process of sharing solutions. In particular, it was more effective when teachers explicitly taught students how to share and discuss problem-solving. Based on these results this study is expected to suggest implications on how to foster students' problem solving ability as mathematical subject competency in elementary classrooms.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.97-111
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• 2018

This study is to establish the domains and the standards of instructional evaluation on the teacher knowledge dealing with the knowledge of 'teaching and learning methods and assessment'. Especially, in this study, the instruction assessment standards are developed focused on the six types of mathematics competencies such as problem solving, communication, reasoning, creativity and collaboration, information and handling, attitude and practice which were emphasized in the mathematical curriculum revised in 2015. By the result, seventh evaluation domains such as an instruction involving problem-solving activity, an instruction involving reasoning activity, instruction involving communication activity, instruction on information and handling activity, instruction involving learners' achievement level and attitude, instruction involving the development of assessment method and tool, instruction applying on assessment result were new established. According to those domains, the 19 instructional evaluation standards were developed totally. This study is limited to consider the domain of 'teaching and learning methods and assessment' among the domains of teacher knowledge, while dealing with the elements of mathematics competencies in the standards. However, instructional evaluation standards reflecting these competencies should be developed in the other diverse domains of teacher knowledge.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.93-113
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• 2017

This research analyzed the cases of math competencies-oriented assessment, integrating assessment and instruction, which had been conducted in an elementary school whose assessment system involves frequent tests from a formative perspective on assessment. The research outcome is as follows: First, the competencies-oriented assessment of integrating instruction made possible for curriculum restructuring and competencies-oriented teaching, whereas more emphasis needs to be focused on the assessment feedback. Second, assessment on math competencies involves multiple dimensions; therefore, it needs to be managed to prevent problems arising due to overlap between different competencies. Third, though it has been identified that with evaluation it is possible to recognize and gradually improve the areas short of competency, more practical studies need to be conducted in this regard. Fourth, even with the fact that various types of evaluation ensure its fairness, make an accurate interpretation of the evaluation result before arriving at a comprehensive assessment.

• Education of Primary School Mathematics
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• v.26 no.1
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• pp.1-13
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• 2023

One of major goals of mathematics education is to cultivate human resources which equip creative problem-solving ability. Thus, the enhancement of creative and converging ideas has been emphasized in the national curriculum since the 2009 revised curriculum. In the current study, we analyzed authorized textbook series to examine how each curriculum material addresses the creativity convergence competency. The foci of the analysis were creativity (originality, fluency, flexibility, elaboration) and convergence (intrinsic connection, extrinsic connection). In addition, we analyzed the national textbook which was based on the 2015 revised curriculum to investigate the transition between the national textbook and the authorized textbooks. We found the tasks that focused on fluency were the most frequent type regarding creativity and the tasks that connected with everyday life situations (extrinsic connection) were prevalent across the three textbook series. We provided suggestions about the development of mathematics textbooks and their implementation.

• Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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• v.8 no.12
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• pp.1-10
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• 2018

The purpose of this study is to analyze the mathematics competencies required in middle school Korean language class to find out ways to improve student's debate ability. The results of the analysis showed that creativity and information processing ability in research activities; problem solving ability, creativity, information processing ability in planning activities; reasoning and creativity, information processing ability in rebutting activities; problem solving and reasoning in summary activities. In cross-inquiry activities, problem solving and reasoning, information processing, and creativity are required; creativity in final focus; problem solving and reasoning ability in judgment and general review; preparation time activities require problem solving, reasoning, and information processing ability. Therefore, in order to improve the debate ability of the students, it is required that the mathematics competencies such as problem solving, reasoning, information processing, and creativity are increased.

• Journal of the Korean School Mathematics Society
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• v.21 no.1
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• pp.1-18
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• 2018

This study aims to analyze the mathematics curriculum in the gifted school and obtain the understanding of the current situation of education for the math-gifted children in Korea, therefore providing a point of view for the improvements. In order to attain these purposes, the study examined the subject competency for the mathematics set by regular mathematics curriculum system and 2015 revision curriculum, and extracted the analytical standards, based on which the education plan documents of each gifted school were analyzed. The conclusion that has been made based on the analysis results is as follows. First of all, the curriculum of mathematics in the gifted schools in korea is heavily concentrated on analytics and algebra. Secondly, in mathematics curriculum for gifted children in Korea puts the most emphasis on the problem solving competency. Third, geometry subject in the mathematics curriculum of Korean gifted schools deals with the given content only at the level of regular high school curriculum. Fourth, learning materials in most gifted schools are not the ones especially revised and adapted for the gifted students but usually the ones for the college students. Lastly, gifted schools are running the curriculum featured with curriculum compacting and advance learning focusing on acceleration.

• School Mathematics
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• v.18 no.2
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• pp.301-322
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• 2016

Even though measurement is an important strand of elementary mathematics education, there has been lack of research in this field. This study analyzed topics related to length and time in a series of mathematics textbooks aligned to 2007 or 2009 revised mathematics curriculum. The analysis was focused on three aspects: (a) overall instructional components of measurement, (b) instructional components specific to the topics of measurement, and (c) key competencies in mathematics. The results of this study showed that many topics dealing with length and time were represented with relation to real-life contexts or other subjects. The meanings of measurement terms and the necessity of calculation were well explained but other aspects still had room for improvement when it comes to the necessity of measurement units, appropriate choice of units, and use of students' common misconceptions. Another noticeable result was that problem solving, communication, and reasoning among key competencies in mathematics have been emphasized in the mathematics textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with length and time.