• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.113-135
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• 2017

The purpose of the research was to develop an analysis framework for Korean mathematics textbooks from a critical mathematics education perspective. For this, we conducted a comprehensive literature review regarding critical theory, critical education, and critical mathematics education. Based on the literature review, we derived a preliminary framework for textbook analysis. To validate the preliminary framework delphi survey was carried out twice with 21 expert panelists in the field of mathematics education and multicultural education. The first delphi survey was conducted with open-ended questions to investigate diverse opinions regarding educational goals, contents, and teaching methods of critical mathematics education. The second delphi survey was conducted with Likert-type scale and it was analyzed using Mean, Contents Validity Ratio, Degree of Consensus. As the result of the whole research procedures, the final analysis framework was developed consisting of four categories: classical knowledge, community knowledge, communicative knowledge, and political knowledge. A development of the analysis framework from a critical mathematics education perspective could give a significant impact on the mathematics curriculum or mathematic teacher education in the Korea and a meaningful initial step for the effort of practicing critical mathematics education. It is expected that this study could not only incite consideration for the better mathematics education but also expand the prospect of research and practice in mathematics education. This study would provide a new paradigm of future mathematics education with which to teach and guide students to become members of world civil society with mathematical power and critical competency.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.857-888
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• 2017

Due to globalization, diversification, and informatization, modern society confronts change and crisis in a variety of areas such as economy, politics, and culture. In that context, mathematics educators seek for how to reform school mathematics for democratic and just society. This research proposes critical mathematics education as an alternative model of school mathematics for democratic society. In particular, this research is an explorative study to construct a model of critical mathematics education program. For the purpose, we conducted a comprehensive literature review to identify goals, contents, and methods of teaching and learning, and method of assessment for critical mathematics education. We checked the validity of the model by using the cases of critical mathematics education. Since this research is explorative in the regard that the model is based on theoretical literatures, further research is necessary to extend the model through design research in school context.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.289-303
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• 2019

The aim of this study was to seek for the purpose of social justice of mathematics education based on the understating of a critical race perspectives. This paper is consisted of two parts. First, I analyzed literatures of mathematics education for social justice in order to understand the discussions and concerns related to the topic. Second, I used the selected tenets of critical race theory to examine mathematics education for social justice scholarship. From the analysis, I concluded the current capacity of mathematics education for social justice toward addressing race issues in a mathematics classroom.

• The Mathematical Education
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• v.52 no.3
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• pp.319-334
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• 2013

This study is a literature research on critical mathematics education. In this study, we analyzed the literature about critical theory and critical education, especially focused on Freire's educational works. And also, we reviewed studies and lesson examples about critical mathematics education. The purpose of this research is to improve understanding about critical mathematics education. We found the connection between the goals, teaching methods and contents of critical mathematics education and Freire's theory of critical pedagogy. Critical mathematics lessons stimulated student's sense of social agency and induced student's inquiry. Critical mathematics education has a merit on aspect of mathematical connection and communication by adopting social issues and student's discussion in mathematics lessons. Although there are many obstacles to overcome, critical mathematics education is one of the educational direction to seek.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.527-542
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• 2016

In the mathematics curriculum that was revised in 2009, statistical literacy is explicitly addressed as a goal and specific objectives are included. However, statistical literacy has not been addressed in the studies on KSAT. This study aimed to draw implications on how to improve KSAT in a sense that statistical literacy could be evaluated instead of testing typical facts or skills by comparing KSAT with SAT. We used mathematical problem solving process and category of context of PISA framework (OECD, 2013) to administer the comparison of KSAT and SAT. Result shows that both KSAT and SAT use various context, but items in KSAT is limited in assessing critical understanding. We suggested several ways to develop context-based items for KSAT in which statistical literacy could be assessed.

• Communications of Mathematical Education
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• v.16
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• pp.181-190
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• 2003

본 논문은 제7차 교육과정에 의한 수학교과서에서 얼마나 참신한 소재를 가지고 독창적으로 구성하였는가를 고찰하였다.

• Communications of Mathematical Education
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• v.11
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• pp.291-296
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• 2001

근래에 7차 교육과정에 관한 비판적 논의가 활발하다. 이러한 논의는 향후의 교육과정 개발에 많은 시사점을 제공하게 될 것이다. 본 논문에서는 러시아, 미국, 싱가포르, 영국의 사례를 통하여 우리의 수학과 교육과정 내용의 일부를 분석적으로 고찰한다.

• Journal of Educational Research in Mathematics
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• v.20 no.4
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• pp.529-546
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• 2010

This study aims to analyze and criticize the definition of the similarity concept in mathematical texts by investigating mathematical history. At first, we analyzed the definition of Pythagoras, the definition of Euclid's ${\ll}$Elements${\gg}$, the definition of Clairaut's ${\ll}$Elements of geometry${\gg}$, the postulate of Brkhoff's postulates for plane geometry, the definition of Birkhoff & Beatly의 ${\ll}$Basic Geometry${\gg}$. the definition of SMSG ${\ll}$Geometry${\gg}$. and the definition of the similarity concept in current mathematics texts. Then we criticized the definition of the similarity concept in current mathematics texts based on mathematical history. We critically discussed three issues and gave three suggestions.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.141-161
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• 2019

The purpose of this study is to review the trends of international and domestic research in mathematics education for social justice and to present the meanings to the mathematics education in Korean mathematics education. For Korean mathematics educators and teachers, interest and research in mathematics education for social justice is still insufficient. For this study, the researcher analyzed the concerned research on mathematics education for social justice. According to the study, international research on social justice were started with Freire's critical mathematics education in the 1970s and has been actively conducted from various perspectives and has been applied to their mathematics lessons. However, domestic studies on mathematics education for social justice have recently been started. The implications of mathematics education for social justice is that it provides an opportunity for reflection on traditional mathematics lessons and enables integration and convergence with humanities perspective. This approach can also foster a positive attitude toward mathematics and deepen the view of mathematics and the world of teachers and students. The researcher proposed to include mathematics education for social justice in Korean mathematics curriculum and textbooks, support teachers' professionalism by teacher training programs, and continue to develop a more sophisticated education model through practical applications.

• The Mathematical Education
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• v.53 no.3
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• pp.413-434
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• 2014

Logic lays the foundation of Mathematics and the development of Mathematics is dependent on critical thinking. So it is important that school mathematics helps students develop their logical and critical thinking ability for both mathematics learning and problem solving in general. MINDSTORMS, a LEGO based programming activity kit, is an effective teaching and learning tool that can be used to enhance logical and critical thinking in students. This study focused on measuring the growth of students' ability to think logically and critically when they used MINDSTORMS activities to learn programming. In addition, we investigated how the students' logical and critical thinking changed from the MINDSTORMS learning experience. The study confirmed that the programming activities using MINDSTORMS help to enhance logical and critical thinking in students. The students attitude about logical and critical thinking became more positive and the activities helped to engage students to think logically and critically. This type of programming activities should be valuable in mathematics education and it should be included in a general mathematics curriculum.