• East Asian mathematical journal
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• v.32 no.2
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• pp.153-174
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• 2016

The purpose of this study is to provide an opportunity for better understanding and application of 2009 revised elementary school mathematics textbooks through focus group's investigations on the elementary mathematics teacher's guide books. First, We survey previous studies on the teacher's guide books to make the frame of investigation. Next, We compose focus group(8 teachers) for 3~4th grades, and analyze the teacher's guide books according to ready-made frame: compliance of curriculum, accuracy and fairness of contents, selection and organization of contents. As results of investigation, system of organization of the teacher's guide books is needed. Goal, contents, teaching methods, and evaluations have to be consistent in describing mathematical terms. And errors in mathematics and mathematics education are examined more carefully. The teacher's guide books afford teachers many materials and informations to teach mathematics through classroom lessons. So more study on the teacher's guide books and developmental study for the model guidebooks is needed along with the revised curriculum and new textbooks.

• East Asian mathematical journal
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• v.33 no.2
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• pp.177-197
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• 2017

The purpose of this study is to investigate and analyze the understandings of elementary pre-service teachers about 'estimation' in the elementary mathematics. Together with this analysis, we identify elementary pre-service teacher's Mathematical Pedagogical Contents Knowledge(MPCK), especially focusing to Subject Matter Knowledge(SMK). In order to this goals, we investigate contents relating to 'estimation' from $1^{st}$ curriculum to 2009 revised curriculum and compare 'rounding up', 'rounding off', 'rounding' in the elementary mathematics textbooks. As results of investigations, 'estimation' has been teaching at the 'Measurement' domain from $3^{rd}$ curriculum, but contexts of measuring weaken from $7^{th}$ curriculum. 'Rounding up(off)' is defined three types in the textbooks from $1^{st}$ to 2009 revised curriculum. And we examine elementary pre-service teachers through the questions on these 'estimation' contents. On the analysis of pre-service teacher's understanding relating MPCK, four themes is summarized as followings; the understanding of '0' in the 'rounding up', the cognitive gap between 'rounding up' and 'rounding off', the difference of percentage of correct answers according to types of question in the 'rounding up', and the difference between the definition of 'rounding up' and the definition of 'rounding'.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.613-627
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• 2014

Elementary textbook ${\ll}Mathematics\;4-2{\gg}$ first published in 2014 according to the 2009 elementary mathematics curriculum has been dealing with concave polygons which were not treated in elementary textbooks according to the previous curriculum. However, n the present paper, to show that there is a need to reconsider the handling of the concave polygons, after discussions about the polygon, problems in handling the concave polygons were discussed in next two viewpoints: Does 2009 elementary mathematics curriculum allow handling of the concave polygons? are there any logical leaps in handling of the concave polygon? And the following reasons to reconsider the handling of the concave polygons are presented as conclusions. First, there was no process of publicizing the handling of the concave polygon. Second, the evidences that will justify the handling of the concave polygon can not be found in 2009 elementary mathematics curriculum. Third, there are logical leaps in the handling of the concave polygons. Fourth, there is no consistency in handling the concave polygons.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.277-297
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• 2014

In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary first grade mathematics textbooks. STEAM-related subject contents in the textbooks were examined by unit and by strand of the content in the elementary school mathematics curriculum. According to the results, the number and the type of STEAM-related subject contents are different depending on the unit and the strand of the mathematics content. Generally speaking, in each unit and in each strand of mathematics, storytelling liberal arts-related contents are seen the most, followed by non-storytelling liberal arts-related contents and physical education contents in order, while the number of musical contents was very small. So we need to develop different STEAM materials in order to activate STEAM education in our elementary math classrooms.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.135-160
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• 2017

Since mathematics textbooks for 6th graders based on the 2009 revised national curriculum were applied to the site, there has been a note pointing out that the unit of 'ratio and rate' causes some learning difficulties. This implies the necessity of search for desirable methods of organizing the unit of ratio and rate in mathematics textbooks. This study analyzed and compared Korean and foreign mathematics textbooks on ratio and rate longitudinally and horizontally, respectively. For longitudinal analysis, we selected the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we took the mathematics textbooks of Japan, Singapore, Hong Kong, and Finland. In each textbook, the contents and the order in relation to ratio and rate, the definitions of terminology, and the methods for introducing related concepts are set as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about ratio and rate. Based on these results, we suggested some implications for writing the unit of ratio and rate in elementary mathematics textbooks.

• Journal of Korean Elementary Science Education
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• v.36 no.3
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• pp.256-272
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• 2017

The purpose of this research is to study and learn more features how this type of distribution for communication in $6^{th}$ grade first semester elementary science and mathematics according to communicative expression by 2009 revised curriculum. For this study, based on an analysis standard presented in previous research on the types of communication. The results of this research are as follows. First, because the mathematics presents the number of ways to communicate twice more than science, mathematics go through with much more problems to solve than science. Second, in mathematics, spoken method and written method have similar proportion, less in physical activity method. Third, Science showed balanced proportion among four areas; earth, life, energy, and material. On the other hand, mathematics only showed small numbers in the area of geometry but similar numbers in number and operations, regularity, measurement. Fourth, there is no common feature or relevance about communicative approach for convergence thinking in 2009 revised curriculum, it seems that it doesn't consider it as a revised.

• Journal of Educational Research in Mathematics
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• v.26 no.2
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• pp.247-267
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• 2016

It has been pointed out that the mathematics textbooks according to 2009 revised national curriculum cause difficulty not by mathematical knowledge but concomitantly by words and sentences for the first graders who just started learning Korean alphabets. This study focused on the suitability of words and sentences in mathematics textbooks for elementary first grade. We analyzed the degree of difficulty and familiarity in terms of words and the structure, length, and expression in terms of sentences. The results show some causes that lead the first graders to the difficulty. In more detail, we found 108 difficult words and 6 unfamiliar words for the first graders. And it is noticed that the textbooks contain 37 compound sentences, 727 complex sentences, and 38 compound-complex sentences. They also contain 237 long sentences that are composed of 9 words or more, 168 sentences that assign two activities or more, and 52 sentences that contain three nouns or adjectives or more successively. Based on these results and discussions, we suggested several implications for writing mathematics textbooks for the lower grades in elementary school.

• Education of Primary School Mathematics
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• v.18 no.3
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• pp.235-247
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• 2015

This study analyzed what STEAM elements, except mathematical content, are contained in 2009 revised elementary school 3rd and 4th grade group mathematics textbooks. STEAM elements in the textbooks were examined by grade and by content area in the elementary school mathematics curriculum. According to the results, the difference between 3rd and 4th grade in the number of STEAM elements is almost not visible. Distribution of specific content areas could be seen that the distribution STEAM element is similar to the percentage distribution of the content area. However, the number of STEAM elements are different depending on the type of STEAM. The number of arts element is 448(67.6%) and this elements are seen the most. The number of representative art and cultural art is 344(51.9%) and 104(15.7%), respectively. The number of technology-engineering and science is 160(24.1%) and 55(8.3%), respectively. We need to developed to promote use of science element in next mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.263-289
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• 2017

New mathematics textbooks for elementary school students are under development according to the 2015 national revised curriculum. Not only contents but also framework of textbooks may be interesting to the mathematics educators and researchers. Considering the high dependency on textbooks in elementary classrooms, the influence of the framework of textbooks in mathematics learning cannot be overlooked. The unit and lesson frameworks of the textbook are important because they are directly related to the quality of mathematic lessons, especially when teachers make a lesson plan based on the unit and lesson frameworks of the textbook. This study is to analyse the unit and lesson frameworks of elementary school mathematics textbooks and to find out elementary school teachers' preference about its analysed key points. For longitudinal analysis, we selected 3rd-grade mathematics textbooks of 5th, 6th, 7th, the 2007, and the 2009 national revised curriculums. For horizontal analysis, we selected 3rd-grade mathematics textbooks of Korea, Japan, United States and Finland. We compared unit and lesson frameworks of various textbooks, and abstracted key elements of the textbook frameworks, and constructed survey questions. Looking at results from survey questions based on analysed key points, we were able to grasp the teachers' preference for unit and lesson frameworks for mathematics textbook. Based on the results of this study, some implications for the development of framework for new mathematics textbooks are suggested.

• Education of Primary School Mathematics
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• v.18 no.2
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• pp.141-154
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• 2015

This study analyzed storytelling in mathematics textbooks for third graders, which had been developed according to the 2009 revised mathematics curriculum. Storytelling are supposed to be composed of elements such as message, conflicts, characters, and plot, all of which should be consistent with and focused on unit contents. Especially, conflicts in storytelling should be so obvious that children can take an initiative in learning tasks to solve the problems required by the tasks. The analysis of storytelling in the introduction part in teacher's guides for the third-grade textbooks indicates the following: 1) messages are unclear; 2) conflicts are frequently absent (if any, they are unclear); 3) incidents attributable to textbook characters are insufficient; and 4) plots often lack plausibility. In order to achieve the purposes for which storytelling in mathematics textbooks is intended, storytelling should be reconstructed and improved, taking the roles that each component should serve into consideration.