• The Journal of Korean Association of Computer Education
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• v.19 no.2
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• pp.87-98
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• 2016

Our study is composed of Arduino robot assembly, board connecting and collaborative programming learning, and it is to evaluate their effect on improving secondary mathematics-science gifted students' convergence capability. Research results show that interpersonal skills, information-scientific creativity and integrative thinking disposition are improved. Further, by analyzing the relationship between the sub-elements of each thinking element, persistence and imagination for solving problems, interest of scientific information, openness, sense of adventure, a logical attitude, communication, productive skepticism and so on are extracted as important factors in convergence learning. Thus, as the result of our study, we know that gifted students conducted various thinking activities in their learning process to solve the problem, and it can be seen that convergence competencies are also improved significantly.

• The Mathematical Education
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• v.60 no.2
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• pp.229-247
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• 2021

Students' mathematical thinking is represented via various forms of outcomes, such as written response and verbal expression, and teachers could infer and respond to their mathematical thinking by using them. This study analyzed 39 elementary teachers' competency to notice students' problem-solving strategies containing mathematical errors in fraction addition and subtraction with uncommon denominators problems. Participants were provided three types of students' problem-solving strategies with regard to fraction addition and subtraction problems and asked to identify and interpret students' mathematical understanding and errors represented in their artifacts. Moreover, participants were asked to design additional questions and problems to correct students' mathematical errors. The findings revealed that first, teachers' noticing competency was the highest on identifying, followed by interpreting and responding. Second, responding could be categorized according to the teachers' intentions and the types of problem, and it tended to focus on certain types of responding. For example, in giving questions responding type, checking the hypothesized error took the largest proportion, followed by checking the student's prior knowledge. Moreover, in posing problems responding type, posing problems related to student's prior knowledge with simple computation took the largest proportion. Based on these findings, we suggested implications for the teacher noticing research on students' artifacts.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.227-251
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• 2014

In this study, we explored the preliminary model of multicultural mathematics teacher education to foster mathematics teachers' multicultural competencies. For the purpose, we investigated the multicultural competency of mathematics teachers with a survey questionnaire. We also interviewed mathematics teachers to analyze mathematics teachers' need of teacher education for multicultural mathematics education. In addition to the survey and the interview, we conducted a review of literatures to identify the principles, goals, contents, and methods for multicultural mathematics teacher education. In this research, we have identified 4 principles for multicultural mathematics teacher education: mathematics as culture, respecting diversity and equity, and identity. Under the principles, we presented 6 educational goals of teacher education for multicultural mathematics education. We chose the contents and the methods to promote the multicultural competency of mathematics teachers suitable for educational situation of Korean school. We integrated the principles, goals, contents and methods to design multicultural mathematics teacher education program for in-service teachers. Finally, we discussed the features and benefits of the preliminary model based on situational analysis for multicultural mathematics teacher education. We proposed that follow-up study is necessary to investigate the effect of the model for the future development of multicultural mathematics teacher education model.

• Journal of The Korean Association For Science Education
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• v.38 no.6
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• pp.781-792
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• 2018

In modern society, as technology develops and industry diversifies, students can choose from a variety of career paths. Since science, technology, engineering, and mathematics require a longer education and experience than other fields, it is important to design science education policies based on the competencies required for science, technology, engineering, and mathematics (STEM) occupations. This study explores the definition of science and technology manpower and STEM occupations and identifies core competencies of STEM occupations using standard job information operated and maintained by the US Department of Labor ($O^*NET$). We specially analyzed ratings of the importance of skills (35 ratings), knowledge (33 ratings), and work activities (41 ratings) conducting descriptive analysis and principal component analysis (PCA). As a result, core competencies of STEM occupations consist of STEM problem-solving competency, Management competency, Technical competency, Social service competency, Teaching competency, Design competency, Bio-chemistry competency, and Public service competency, which accounts for 70% of the total variance. This study can be a reference for setting the curriculum and educational goals in secondary and college education by showing the diversity of science and technology occupations and the competencies required for STEM occupations.

• The Mathematical Education
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• v.61 no.3
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• pp.397-417
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• 2022

The purpose of this study is to discuss information literacy in mathematics education by comparatively analyzing mathematics education experts' perception of information processing and information literacy in mathematics education. We collected mathematics education experts' opinions using the modified Delphi method and focus group interviews, then analyzed their responses with an analytic framework through a constant comparative method. Even though we used different methods, we could compare their perceptions under the common themes. The findings are in three-folds. First, most experts focused only on the use of technological tools or statistics as a way of developing information literacy. In addition, even though mathematics education experts recognize the need for information literacy in mathematics education, their definition and meaning of information literacy somehow varied. Secondly, teachers as practitioners emphasized social competency which could be developed through information literacy. Thirdly, they asked for concrete and systematic plans for school practice in order to well develop information literacy in schools. Even though there were some differences in their perception of information literacy in mathematics education in terms of their prior experiences and background, it is very meaningful that there were commonalities among their perceptions which would allow us to find the ways of developing information literacy in mathematics education.

• The Mathematical Education
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• v.61 no.2
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• pp.287-303
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• 2022

The purpose of this study is to draw implications for the improvement in the CSAT by analyzing structures and tasks in the Abitur. To this end, it analyzes the mathematics test system with a focus on the basic and advanced level examination systems, the operator, the using technology, and mathematical formulas. And the characteristics of tasks in the 2021 Abitur were analyzed. As a result of the analysis, first, Germany evaluates whether students have the competency emphasized in the curriculum at Abitur. Second, Germany, which emphasizes the proper use of technology, utilizes both tasks that use technology and those that do not in the Abitur. Third, the Abitur consists of most of the tasks using promised operators and uses various types of operators to present various types of questions to evaluate competence. Fourth, the Abitur includes not only simple structured items consisting of 2-3 subtasks but also tasks dealing in depth with a single situation centered on a big idea. Finally, mathematical justification and proof play an important role in the Abitur. Based on this, some specific measures for improving the CSAT were suggested.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.525-541
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• 2010

The purpose of this thesis is to investigate the effects of the topics in basic mathematics on academic achievement in order to improve the problem-solving abilities of low achievement students in university general mathematics. This program has been conducted from P University as a part of Education Capacity Enhancing Project. The goals of this program are to make students who have fear to mathematics feel confident for mathematics, and make easier to study general mathematics and major field without any difficulties for the students. The topics in basic mathematics was enforced with solving problem based on comprehension of the basic concept and computer-based learning. The classes were organized as Algebra-Geometry, Calculus, and General mathematics class by students' applications for classes and basic academic ability. As a result, the topics in basic mathematics has been evaluated as positive way to effect satisfaction and learning effect for the students who have low-level in basic academic ability. And also, according to the survey, the result shows that assignment through Webwork system and Mathematica program practice are helpful for learning basic mathematics. But several measures are asked for participation in the class and prevention for quitter of participants.

• The Mathematical Education
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• v.58 no.2
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• pp.263-282
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• 2019

The purpose of this study is to analyze the implementation of 2015 revised mathematics curriculum. This study focused on issues raised from the implementation. The teaching-learning methods for enhancing mathematical competencies, the amount and difficulty of mathematics in the 1st and 2nd grade, the level of vocabulary and sentence for students in the textbooks, and the support for successful implementation of the curriculum were collected and analyzed through questionnaires and interviews. As a result of the research, most of the teachers tried to improve the teaching and learning method considering mathematical competencies, but had difficulty in connecting contents and competencies. They also recognized that the amount and difficulty in the 1st and 2nd grade math, and the level of vocabulary and sentences presented in math textbooks were generally appropriate. However, they pointed out that the textbooks were over-emphasized in various ways out of basic calculation methods, and that the long sentences, which are not easy to read and understand by students who are not familiar with reading Korean, are included in the . They recognised that there is a large difference in level of reading Korean and understanding math among students. So we suggest that more active support is needed for the students who are learning slowly and the students who are having difficulty in reading Korean.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.439-467
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• 2022

The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

• School Mathematics
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• v.14 no.1
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• pp.165-190
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• 2012

Recently, the Korean government develops a variety of policies for the improvement of school education. Among the policies, convergence education is considered as essential. Moreover, as the policies declare that mathematics is expected to play a central role in the convergence education, mathematics educators are required to seek for ways of how to approach convergence education in mathematics. In this context, this paper reviewed diverse viewpoints on what kind of contribution convergence education make to the improvement of school mathematics. While the argument constructed around the issue of national competitiveness is the most prevalent in the political discourse, this paper recommends to introduce the epistemological norms raised by the knowledge integration through history. In addition, this paper presents both domestic and international programs to discuss how to develop educational program for convergence education in mathematics.