• School Mathematics
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• v.1 no.2
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• pp.661-677
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• 1999

This paper is preliminary study for developing Web-based instruction material to practice open mathematics education in middle school using Web as educational environment. For this purpose, the (textbook-based) curriculum was analysed and then more flexible and differentiated dynamic (web-based) curriculum was suggested.

• Research in Mathematical Education
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• v.26 no.3
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• pp.253-270
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• 2023

This study aims to investigate the extent to which Korean high school textbooks incorporate opportunities for students to engage in the mathematical modeling process through tasks related to exponential and logarithmic functions. The tasks in three textbooks were analyzed based on the actions required for each stage in the mathematical modeling process, which includes identifying essential variables, formulating models, performing operations, interpreting results, and validating the outcomes. The study identified 324 units across the three textbooks, and the reliability coefficient was 0.869, indicating a high level of agreement in the coding process. The analysis revealed that the distribution of tasks requiring engagement in each of the five stages was similar in all three textbooks, reflecting the 2015 revised curriculum and national curriculum system. Among the 324 analyzed tasks, the highest proportion of the units required performing operations found in the mathematical modeling process. The findings suggest a need to include high-quality tasks that allow students to experience the entire process of mathematical modeling and to acknowledge the limitations of textbooks in providing appropriate opportunities for mathematical modeling with a heavy emphasis on performing operations. These results provide implications for the development of mathematical modeling activities and the reconstruction of textbook tasks in school mathematics, emphasizing the need to enhance opportunities for students to engage in mathematical modeling tasks and for teachers to provide support for students in the tasks.

• East Asian mathematical journal
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• v.40 no.2
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• pp.127-148
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• 2024

Maximum and minimum have a historical background in mathematics and occupy an important part of the differential unit in school mathematics. As the curriculum is revised, there are changes and problems in the way definition introduced. Therefore, this study analyzes the changes in the method of introducing maximum and minimum definitions following the reorganization of the 2007 and 2009 revised mathematics curriculum, and analyzes the differences in maximum and minimum definition methods compared to the nine mathematics II textbooks in the 2015 revised mathematics curriculum and three real analysis. In addition, methods to improve the terms used in relation to the maximum and minimum values are presented.

• School Mathematics
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• v.8 no.4
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• pp.397-415
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• 2006

This paper is to find out the reason why students often make mistakes with 0 during computation and to get some instructional implication. For this, history of 0 is reviewed and mathematics textbook and workbook are analyzed. History of 0 tells us that the ancients had almost the same problem with 0 as we have. So we can guess children's problems with 0 have a kind of epistemological obstacles. And textbook analysis tells us that there are some instructional problems with 0 in textbooks: method and time of introducing 0, method of introducing computational algorithms, implicit teaching of the number facts with 0, ignoring the problems which can give rise to errors with 0. Finally, As a reult of analysis of Japanese and German textbooks, three instructional implications are induced:(i) emphasis of role of 0 as a place holder in decimal numeration system (ii) explicit and systematic teaching of the process and product of calculation with 0 (iii) giving practice of problems which can give rise to errors with 0 for prevention of systematical errors with 0.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.141-168
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• 2010

Mathematical communication is necessary to exchange mathematical idea among participants in teaching-learning process. The promotion of mathematical communication competence is clearly stated in many parts of the 2007 revised curriculum. As a result, mathematical communication tasks are contained in 'high school Mathematics' textbook. At this point of time when increasing importance of mathematical communication is realized, we will check over mathematical communication and analyze communicative tasks corner in 'high school Mathematics' textbook in this paper And thereby we hope this study help prepare for practical communicative tasks corner suggesting a way for invigoration of mathematical communication.

• 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.

• The Mathematical Education
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• v.44 no.2 s.109
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• pp.201-213
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• 2005

The purpose of this study is to find research areas that were less represented by the researchers of mathematics textbooks and to provide feedback for the research and development of mathematics curriculum and textbooks. In order to complete this study, we analyzed comparative studies of mathematics textbooks published in Korean. This study analyzed 107 comparative studies published until recently based on following aspects: countries studied (North Korea, U.S.A., and Japan), Math curriculum studied (6th and 7th mathematics curriculum), and Math contents studied (probability and statistics) and etc. The result of this study suggests that the content area of creative problem solving was particularly less represented by the studies published and require more concern from the mathematics education researchers

• Journal of the Korean School Mathematics Society
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• v.25 no.1
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• pp.61-77
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• 2022

This study looked at the deviation of each textbook, focusing on the detailed learning content related to the quadratic curve properties contained in high school geometry textbooks. Rather than criticizing the diversity of content elements covered in high school geometry textbooks and suggesting alternatives, it focused on analyzing the actual conditions of content element diversity. The curriculum specifies that the practical application of the quadratic curve should be emphasized so that student could recognize the usefulness and value. However, as a result of the analysis, it was confirmed that the purpose of the curriculum and the structure of the textbook did not match somewhat, the deviation of content elements for each textbook was quite large. In terms of acknowledging the diversity of teaching and learning, the diversity of each textbook on the methods of the introduction and the natures related to the quadratic curve can be fully recognized. But in our educational reality, which is aiming for the university entrance examination system through national evaluation such as CSAT, the results are too sensitive in society as a whole, so the diversity of expressions in mathematics textbooks is sometimes interpreted as a disadvantage of evaluation. It is time to reconsider the composition of textbooks that recognizes the diversity of content elements in textbook teaching and learning and at the same time reflects the aspect of equality in evaluation.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.81-95
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• 2011

In order to raise people with mathematical power and positive attitude toward mathematics fit for the 21st century, individual students should be provided with equal learning opportunities according to their ability and level, and the need of such mathematics education is even stronger for underachievers. As textbooks were considered the optimal learning materials at each stage, this study purposed to examine changes in students' mathematical learning abilities and mathematical tendency brought by the activities of analyzing and reviewing the textbooks of the previous grades. The subjects of this study were 5 mathematics underachievers from 3 fifth grade classes at D Elementary School. They were sampled from those who were selected based on the results of diagnostic assessment and the records at the end of April and gave their consent to participation in this study. For the sampled children, their current state was surveyed first, and then the experimental classes were given twice a week and a total of 32 sessions. The children judged their mathematical abilities through reviewing the textbooks from the 1st grade to the 4th grade, and studied the textbook of each stage by themselves. After the self study, they had the textbook contents review activity that extracted 10 problems considered important per semester, and the textbook analysis activity that grouped units in each stage according to relevancy, identified similarities and differences, and examined hierarchy. From the results of this study was found that the mathematics underachiever teaching method using the textbooks of the previous grades gives mathematics underachievers confidence in their abilities, strengthens mathematical connection, and develops the habits of exploring key contents through self study.

• Journal of Elementary Mathematics Education in Korea
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• v.13 no.1
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• pp.1-15
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• 2009

This research is to provide a useful reference for the future revision of textbook by comparative analysis with the textbook in the 4th grade of elementary school in Japan. The results from this research is same as follows: First, Korean curriculum is emphasizing the reasonable problem-solving ability developed on the base of the mathematical knowledge and skill. Meantime, Japanese puts much value on the is focusing on discretion and the capability in life so that they emphasize each person's learning and raising the power of self-learning and thinking. The ratio on mathematics in both company are high, but Japanese ensures much more hours than Korean. Second, the chapter of Korean textbook is composed of 8 units and the title of the chapter is shown as key word, then the next objects are describes as 'Shall we do$\sim$' type. Hence, the chapter composition of Japanese textbook is different among the chapter and the title of the chapter is described as 'Let's do$\sim$'. Moreover, Korean textbook is arranged focusing on present study, however Japanese is composed with each independent segments in the present study subject to the study contents. Third, Japanese makes students understand the decimal as the extension of the decimal system with measuring unit($\ell$, km, kg) then, learn the operation by algorithm. In Korea, students learn fraction earlier than decimal, but, in Japan students learn decimal earlier than fraction. For the diagram, in Korea, making angle with vertex and side comes after the concept of angle, vertex and side is explained. Hence, in Japan, they show side and vertex to present angle.