• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.33-52
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• 1997

We can explain open education by means of pulling down the straight and narrow viewpoint of our educational system. We should incorporate various thoughts and attempts to the most practical educational classrooms and learn to cope flexibly with the several educational problems. On the other hand, Britain for the last fifty years have adapted progressive method in most schools, but with no visible results. The children's fundamental mathematical abilities have not increased. Therefore, mathematical educators in U. S. and Britain proposed the following three facts: First, we need to find out precisely what is involved in applying mathematical skills to practical situations; Secondly, we need to find out why this kind of mathematical understanding is so difficult for so many children; And, finally, we need to know what methods can be used to help children attain this wider mathematical understanding. Thus, we have analyzed and studied the British primary mathematics textbooks < stage 1 >, < stage 3 >, < stage 4 > and < stage 5 > from the open educational viewpoint and the above proposals. As result, a central point was that British have well incorporated into their primary mathematics textbooks with the variety of programs using everyday problems.

• The Mathematical Education
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• v.61 no.2
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• pp.305-322
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• 2022

Angle has a variety of aspects, such as figure, measurement, and rotation, but is mainly introduced from a figure perspective and a quantitative perspective of the angle is also partially experienced in the elementary mathematics textbooks. The purpose of this study was to examine how the angle concept introduction and development pattern in elementary school mathematics textbooks are linked or changed in middle school mathematics textbooks, and based on this, was to get the direction of writing math textbooks and implications for guidance. To this end, 57 math textbooks for the first grade of middle school were collected from the first to the 2015 revised curriculum. As a result of the study, it was found that middle school textbooks had a greater dynamic aspect of each than elementary school textbooks, and the proportion of quantitative attributes of angle was higher in addition to qualitative and relational attributes. In other words, the concept of angle in middle school textbooks is presented in a more multifaceted and complex form than in elementary school textbooks. Finally, matters that require consensus within elementary, secondary, and secondary schools were also proposed, such as the use of visual expression or symbol, such as the use of arrows and dots, and the use of mathematical terms such as vertex of angle and side of angle.

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.295-304
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• 2004

수학교과서는 수학 교수-학습의 매개체로서 그 변화에 대한 비교 연구는 수학 교육을 조명하는데 있어 의미있는 일이라 할 수 있다. 그러나 국가간의 수학 교과서를 비교 ${\cdot}$ 분석한 것은 여럿 있으나 우리나라 교육과정의 변화에 따른 비교 ${\cdot}$ 연구는 드물다. 이에 본 연구는 제 6, 7차 교육과정에서 실용수학의 편제 ${\cdot}$ 성격, 목표, 영역명의 차이점은 무엇이며, 내적체제 면의 유사점과 차이점 및 각 영역에서 학습 내용의 유사점과 차이점이 무엇인가에 대한 비교 ${\cdot}$ 분석을 통하여 우리나라 6. 7차 교육과정에 따른 실용수학 교과서의 문제점을 도출하고 좀 더 나은 교과서 개발에 기여하고자 하는데 그 목적이 있다.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.491-510
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• 2017

This study analyzes on conjecturing tasks in elementary mathematics textbook. We adopted Peircean semiotic perspective and variation theory to analyze conjecturing tasks in elementary mathematics textbook. We specifically analyzed mathematical tasks designed to support students' inquiries into definitions and properties of quardrilaterals. As a result, we found that conjecturing tasks in textbooks do not focus on supporting students' diagrammatic reasoning and inductive verification on provisional abductions. These tasks were mainly designed to support students' conjecturing on commonalities of mathematical objects rather than differences between objects.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.139-170
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• 2022

In relation to differentiated mathematics education, Russia has a longer experience in research and practice than Korea. The mathematics curriculum for 10-11 grades currently in use in Russia is a level-specific curriculum and consists of a basic level and an advanced level. And in Russia mathematics textbooks for 10-11 grades are also textbooks for each level. In this study, we analyzed basic level textbook and advanced level textbook written by the same author group among the textbooks 'Algebra and Introduction of Mathematical Analysis' of the 10th grade in Russia. To analyze the main learning contents and textbook descriptions that were added in advanced level the 'real numbers' and 'complex numbers' sections were studied. The main contents of basic and advanced level textbooks for 'functions', 'trigonometric functions', 'trigonometric equations', 'conversions of trigonometric expressions', and 'derivatives', which are included in both basic and advanced textbooks were compared and analyzed, and the descriptive characteristics of the definitions and theorems presented in the two levels of textbooks were also compared and analyzed. From the results of this study, it is expected that various information on the contents of various level textbooks of mathematics, the differences between textbooks for each level, and strategies for the composition of textbooks for various level can be accumulated.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• Education of Primary School Mathematics
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• v.26 no.1
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• pp.15-28
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• 2023

Since mathematical concepts are learned through the meaning of mathematical terms in school mathematics, learners must understand and use mathematical terms appropriately. However, the meaning of mathematical terms used in real life may be perceived differently from elementary mathematics textbooks, and this difference may cause confusion in learners' understanding of mathematical terms. Therefore, this study was intended to compare and analyze the mathematical terms in elementary mathematics textbooks used in Korea and a Korean dictionary. The findings revealed that the meaning of the textbooks was similar or different, and the subject indicated by each meaning was different. In this case, in order to prevent confusion among learners, it is necessary to supplement and guide each meaning by recognizing the difference between the mathematical terms in elementary mathematics textbooks used in Korea and a Korean dictionary.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.747-764
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• 2017

Problems in mathematics textbooks are very important because there is a high reliance on textbooks in elementary school mathematics classes and there is a strong belief that mathematics is to find the solution to problems. Considering this importance, we analyzed problems in elementary mathematics textbooks quantitatively and qualitatively. Concretely, problems of addition and subtraction with carry on in the range of two digit numbers in the mathematics textbooks from the 1st to the 2015 national revised curriculum were analyzed. As a result, the problems in each textbook were found to reveal important features of the textbook reflecting changes in curriculum and educational background. And the problem of textbooks has changed in the direction of enhancing students' reasoning, communication, and problem solving ability. Based on these results, we suggested several implications for dealing with problems in elementary mathematics textbooks.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.4
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• pp.517-538
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• 2018

The purpose of this study is to lay the groundwork for effectively supporting mathematics learning for multi-cultural students by enhancing understanding of the cultural background regarding mathematics. In order to attain these purposes, this study compared to learning contents, deployment of contents, teaching method of the Korean and Vietnamese elementary mathematics textbooks. According to analysis, Vietnamese textbooks emphasize mathematical rigor and logic over Korean textbooks, and it integrate learning contents from various areas according to mathematical relevance. But Vietnamese textbooks do not present the connection between mathematical content, such as the combination, symmetry, and coverage of shapes. While Korean textbooks use teaching method that students find and define the concept of shapes themselves, Vietnamese textbooks present concepts of shapes and let students to learn about them. From this result, this study presented suggestions for supporting mathematics learning for multi-cultural students.

• School Mathematics
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• v.19 no.1
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• pp.117-135
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• 2017

Even though patterns and correspondence serve a fundamental basis of function for elementary students, there has been lack of research in this field. This study explored prior studies to extract the key instructional elements on how to teach patterns and correspondence. This study then analyzed the unit of 'patterns and correspondence' in the mathematics textbooks in terms of four key instructional elements (i.e., relation to real-life contexts, diversity of pattern tasks, exploration for a correspondence relationship, and teaching variables). The results of this study showed that topics dealing with patterns and correspondence were represented with relation to real-life contexts but diversity of pattern tasks and exploration for a correspondence relationship were needed to be further considered in the textbooks. Another noticeable result was that teaching variables was not explicitly addressed in the textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with patterns and correspondence.