• The Mathematical Education
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• v.59 no.4
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• pp.389-403
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• 2020

This study aims to examine how information processing competency as one of the mathematical competencies has been interpreted and applied in mathematics education by analyzing tasks in middle school mathematics textbooks under the 2015 revised national curriculum. Based on the sub-elements of information processing competency organized by Park et al.(2015), we analyzed 191 tasks in 30 different middle school mathematics textbooks using descriptive statistics and ANOVA. Also, we investigated the meaning of information processing competency embedded in the tasks by distinguishing the characteristics of several different types of tasks. The results from this study showed that the number of tasks related to information processing competency in mathematics textbooks was too small and there was a huge difference across the textbooks in terms of the sub-elements. Even though there were four sub-elements of information processing competency, 'the use of manipulative and technological tools' was extremely dominant in the tasks in general. Even many of them used technology and manipulatives superficially. Furthermore, any textbook did not provide tasks dealing with all the four sub-elements. Such an unbalanced and fragmented approach to information processing competency could produce biased knowledge and insufficient experiences for information processing competency. It calls for further investigation and discussion about how to improve information processing competency in school mathematics.

• Proceedings of the Korean Society of Computer Information Conference
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• 2020.07a
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• pp.231-233
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• 2020

본 연구에서는 과학·수학·정보 융합 교육 활성화를 위하여 한국의 융합 교육 연구를 분석하였다. 이를 통하여 한국의 융합 교육이 겪는 문제점을 도출하였으며, 과학·수학·정보 융합 교육을 활성화하기 위한 해결 과제를 도출하였다. 연구 결과, 과학·수학·정보 융합 교육의 활성화를 위해서는 과학·수학·정보 융합 교육 모형 개발과 역량 기반 교육 모델, 교수-학습 및 평가 모델 개발이 필요하다는 것을 확인할 수 있었다. 연구 결과를 활용하여 후속 연구에서는 과학·수학·정보 융합 교육을 활성화하기 위한 교육 모델 개발을 진행하여야 한다.

• School Mathematics
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• v.12 no.4
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• pp.639-665
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• 2010

The purpose of this research is to seek for principles and methods of multicultural mathematics teacher education. It began with an overview of theories of multicultural education and of multicultural teacher education in order to address the questions of what is the goal of multicultural education and what constitutes the competence of multicultural teachers. Then, cases of multicultural mathematics teacher education were reviewed. Based on that, this research identified three domains of teacher competence: domains of affect, of cognition, and of behavior. This paper also presented what constitutes each domains of competence and how to promote the development of each type of teachers' multicultural competence. This paper discussed implications to multicultural teacher education in Korean society.

• 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.

• Communications of Mathematical Education
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• v.30 no.3
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• pp.353-374
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• 2016

Communication is one of 6 core competencies suggested newly in mathematics curriculum revised in 2015 in Korea. Also, it's importance has been emphasized through NCTM and CCSSI. By the subject of Mathematics in Context(MiC) textbook, this study planned to explore the communication elements according to the types of communication such as discourse, representation, operation. Namely, this study dealt with 316 questions in a total of 34 tasks relevant to function content in the MiC textbook, and this study explored the communication elements on the questions of each task. To accomplish this, this study first of all was to reconstruct and establish an analytic framework, on the basis of 'D.R.O.C type' of communication developed by Kim & Pang in 2010. In addition, based on the achievement standards of function domain in mathematics curriculum revised in 2015 in Korea, this study basically compared with the function content included in MiC textbook and Korean mathematics curriculum document. Also, it tried to explore the distribution of communication elements according to the types of communication.

• The Mathematical Education
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• v.62 no.2
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• pp.289-302
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• 2023

In today's digital information society, student knowledge and skills to analyze big data and make informed decisions have become an important goal of school mathematics. Integrating big data statistical projects with digital technologies in high school <Artificial Intelligence> mathematics courses has the potential to provide students with a learning experience of high impact that can develop these essential skills. This paper proposes a set of guidelines for designing effective big data statistical project-based tasks and evaluates the tasks in the artificial intelligence mathematics textbook against these criteria. The proposed guidelines recommend that projects should: (1) align knowledge and skills with the national school mathematics curriculum; (2) use preprocessed massive datasets; (3) employ data scientists' problem-solving methods; (4) encourage decision-making; (5) leverage technological tools; and (6) promote collaborative learning. The findings indicate that few textbooks fully align with these guidelines, with most failing to incorporate elements corresponding to Guideline 2 in their project tasks. In addition, most tasks in the textbooks overlook or omit data preprocessing, either by using smaller datasets or by using big data without any form of preprocessing. This can potentially result in misconceptions among students regarding the nature of big data. Furthermore, this paper discusses the relevant mathematical knowledge and skills necessary for artificial intelligence, as well as the potential benefits and pedagogical considerations associated with integrating technology into big data tasks. This research sheds light on teaching mathematical concepts with machine learning algorithms and the effective use of technology tools in big data education.

• The Mathematical Education
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• v.60 no.4
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• pp.431-449
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• 2021

Elementary mathematics textbooks present contents for enhancing problem solving competency. Still, teachers find teaching problem solving to be challenging. To understand the supports textbooks are suggesting, this study examined tasks from the challenging/thinking and inquiry mathematics. We analyzed 288 mathematical activities based on an analytic framework from the 2015 revised mathematics curriculum. Then, we employed latent class analysis to classify 83 mathematical tasks as a new approach to categorize tasks. As a result, execution of the problem solving process was emphasized across grade levels but understanding of problems was varied by grade levels. In addition, higher grade levels had more opportunities to be engaged in collaborative problem solving and problem posing. We identified three task profiles: 'execution focus', 'collaborative-solution focus', 'multifaceted-solution focus'. In Grade 3, about 80% of tasks were categorized as the execution profile. The multifaceted-solution was about 40% in the thinking/challenging mathematics and the execution profile was about 70% in Inquiry mathematics. The implications for developing mathematics textbooks and designing mathematical tasks are discussed.

• School Mathematics
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• v.16 no.1
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• pp.135-155
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• 2014

In this paper, we adapted the frame by Lee et al (2013) to investigate to what extent the Korean mathematics textbooks for the 7th graders adapt the principles of Yungbokhap education. The analysis suggests that the textbooks mostly adapt the competence to use language, symbols and texts interactively, and to use knowledge and information interactively. Among the competencies for interacting in heterogeneous groups, the textbooks included the competences to related well to others and to cooperatively work in teams. The competence for acting autonomously was least adapted in the textbooks. The most tasks in the textbooks adapted the monodisciplinary integration and the personal contexts for integration. The results of this research show that Korean mathematics textbooks are limited in implementing the principal dimensions of Yungbokhap education. In the future development of mathematics textbooks, it is necessary to consider how to further reflect the various dimensions of Yungbokhap education to promote students' creativity and autonomy in mathematics class.

• School Mathematics
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• v.17 no.3
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• pp.493-513
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• 2015

This study is based on the perspective that tasks in local and global contexts are important to raise students' ability to mathematically analyze and solve diverse phenomena and social issues as members of future civil society. Therefore, this study analyzes 880 real world tasks from 13 types of 7th grade textbook based on 2009 revised Curriculum. As a result of analyzing tasks by using 3 types of context category and 9 types of ways as analysis framework and allowing repetitive coding, personal context was most frequent in the context of Younbokhap. In level of Integrated ways of Yungbokhap, sequential model in which other subjects' topics were not directly related to mathematics problem or presented in simple description is most frequent. The result shows that the textbooks are too limited to develop learner's competencies. Through such analysis result, we discuss about the necessity and methods of developing tasks which allow learners to study further in future society and global context and which connect other subjects' knowledge and social issue with mathematics in deeper level.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.345-359
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• 2011

In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.