• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.449-460
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• 2015

As a main body of a curriculum, a set of sentences stating mathematical contents plays an important role in teaching and learning mathematics. The contents sentences in the $7^{th}$ version, the 2007 version, and the 2009 version of elementary mathematics curricula were analysed. The elementary mathematics curriculum consists of about 200 contents sentences. The final endings of those sentences are the type of ability such as "to be able to ~". The elementary mathematics curriculum would be managed systematically by disassembling and restructuring those contents sentences. We should state students' activities more concretely by varying the final endings in the curriculum.

• Research in Mathematical Education
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• v.24 no.3
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• pp.137-173
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• 2021

Research and national standards, such as the Next Generation Science Standards (NGSS) in the United States, promote the development and implementation of K-12 interdisciplinary curricula integrating the disciplines of science, technology, engineering, mathematics, and computer science (STEM+CS). However, little research has explored how teachers provide epistemic support in interdisciplinary contexts or the factors that inform teachers' epistemic support in STEM+CS activities. The goal of this paper is to articulate how interdisciplinary instruction complicates epistemic knowledge and resources needed for teachers' instructional decision-making. Toward these ends, this paper builds upon existing models of teachers' instructional decision-making in individual STEM+CS disciplines to highlight specific challenges and opportunities of interdisciplinary approaches on classroom epistemic supports. First, we offer considerations as to how teachers can provide epistemic support for students to engage in disciplinary practices across mathematics, science, engineering, and computer science. We then support these considerations using examples from our studies in elementary classrooms using integrated STEM+CS curriculum materials. We focus on an elementary school context, as elementary teachers necessarily integrate disciplines as part of their teaching practice when enacting NGSS-aligned curricula. Further, we argue that as STEM+CS interdisciplinary curricula in the form of NGSS-aligned, project-based units become more prevalent in elementary settings, careful attention and support needs to be given to help teachers not only engage their students in disciplinary practices across STEM+CS disciplines, but also to understand why and how these disciplinary practices should be used. Implications include recommendations for the design of professional learning experiences and curriculum materials.

• Journal of Elementary Mathematics Education in Korea
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• v.12 no.2
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• pp.149-163
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• 2008

The purpose of this study was to investigate research trends of the articles in Math-Educational journals between 1998 and 2006 in a bid to discuss whether the articles evenly dealt with different fields and whether studies on elementary mathematics education were in line with the 7th national curricula. It's basically meant to determine some of the right directions for future research on elementary mathematics education. The articles included in Math-Educational journals during the selected period were analyzed to find out the theme, area, method and subjects of the studies and when the studies were conducted. After checking National Assembly Digital Library by inputting a keyword 'elementary mathematics', 235 articles were found, and a content analysis was carried out, and statistical data on percentage were obtained. The results of this study were as follows: First, there had been steady research efforts about elementary mathematics education, as 20 or 30 studies had been conducted on a yearly basis. Second, as for theme of research, the most common themes were instructional design and method(25.5%), and an analysis of curricula and textbook(15.3%) was the second most dominant theme. Third, regarding the area of study, the most widely investigated area was number and operation (30.0%), followed by character/expression(27.8%), figure (23.9%), regularity/function (8.9%), probability/statistics(5.6%), and measurement (3.9%). Fourth, concerning the method of research, didactical analysis(43.8%) was most prevalent, followed by quantitative research(29.8%), qualitative research(16.6%) and a combination of qualitative and quantitative approaches(9.8%). Fifth, as to subjects, many of the studies(21.7%) investigated upper graders. In conclusion, it has to be accomplished the impartial researches for the whole area in order to develop elementary mathematics education and attain the objects of the 7th national curricula.

• School Mathematics
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• v.15 no.2
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• pp.429-442
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• 2013

The purpose of this study was to examine the curricula for mathematically gifted focused on contents and graded sequences of those. Three cases of the curricula for the mathematically gifted including teachers' lesson plans and activity sheets for students were collected from gifted education institutes attached the Metropolitan Office of Education. By qualitative analysis, three cases are compared. The first, in a view of educational contents on mathematics, characteristics of the educational programs were investigated. The second, how these contents were arranged according to grades was inquired. On the basis of the results, further studies can be proposed as follows. First, there is a need to study the criteria for setting the educational contents and the sequences of education for the mathematically gifted connecting elementary mathematics education curricula. Second, it is necessary to form the networks in which can allow communication among teachers and researchers for the mathematically gifted.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.337-353
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• 2010

The purpose of this study is to provide a useful reference for the elementary school mathematics curriculum of Japan. For this research, we compare the new version of the elementary school mathematics curriculum of Japan and Korea. Roughly speaking, Japan emphasized learning through mathematical ability. On the other hand, the case of Korea, a special emphasis was placed on the ability of problem-solving and mathematical communication. These abilities developed on the base of the mathematical knowledge and skill. The ratio of teaching time are high on mathematics, but Japan ensures much more hours than Korea. Finally we will focus on the result for the application process of the primary school mathematics curriculum.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.437-464
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• 2014

Curriculum for mathematic sis the system that selects and organizes the contents which have to be taught in school. Ultimately it can be the whole plan of school mathematical education. The study about curriculum for mathematics is the basic study field of the mathematical education, so curriculum-related studies have been continuously promoted in terms of character, organization and implement of the curriculum, learning contents contained by the curriculum, the connection between school levels, and comparison and analysis of domestic and foreign curricula. Thus, this paper investigated the 2009 Revised Curriculum for Mathematics, which is the curriculum of Korea and the CCSSM which is the curriculum of the U.S. Both have been adopted in schools recently. The purpose of this study is to understand the curricula for mathematics in elementary school of Korea and the U.S. in depth and obtain the implication for the further curriculum revision, by comparing and analyzing the curricula of two countries.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.289-304
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• 2015

In this study, connections between the NURI curriculum for 5 years old children and the contents of teacher's manual books according to it and the contents of elementary 1st grade mathematics curriculum and textbooks was analyzed to find the implications that can help to link the two curricula in the development of kindergarten and elementary school mathematics curriculum. The five following implications could be obtained from the analysis. First, it is necessary to connect the contents of the NURI curriculum for 5 years old children which were completed in that curriculum like 'spatial relation'in geometric figure domain and 'data collection'in probability and statistics domain to the contents of the 1st grade curriculum. Second, in the case of the contents not connected between the NURI curriculum for 5 years old children and the contents of elementary 1st grade mathematics curriculum but connected between the NURI curriculum for 5 years old children and the contents of elementary 2nd ~6th grade mathematics curriculum, it is necessary to re-adjust the hierarchy based on one of the curricula. Third, it is necessary to check whether $\ll$K-teacher's manual book$\gg$ obey the NURI curriculum for 5 years old children or not. Fourth, it is necessary to review the related elements of the NURI curriculum for 5 years old children and elementary 2nd ~6th grade mathematics curriculum in [activity] in $\ll$K-teacher's manual book$\gg$. Fifth, it is necessary to handle the mathematics contents explicitly and systematically in [activity] in $\ll$K-teacher's manual book$\gg$.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.179-203
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• 2015

In this study, connections between the NURI curriculum for 5 years old children and the contents of teacher's manual books according to it and the contents of elementary 1st grade mathematics curriculum and textbooks was analyzed to find the implications that can help to link the two curricula in the development of kindergarten and elementary school mathematics curriculum. The five following implications could be obtained from the analysis. First, it is necessary to connect the contents of the NURI curriculum for 5 years old children which were completed in that curriculum like 'spatial relation'in geometric figure domain and 'data collection'in probability and statistics domain to the contents of the 1st grade curriculum. Second, in the case of the contents not connected between the NURI curriculum for 5 years old children and the contents of elementary 1st grade mathematics curriculum but connected between the NURI curriculum for 5 years old children and the contents of elementary 2nd ~6th grade mathematics curriculum, it is necessary to re-adjust the hierarchy based on one of the curricula. Third, it is necessary to check whether $\ll$K-teacher's manual book$\gg$ obey the NURI curriculum for 5 years old children or not. Fourth, it is necessary to review the related elements of the NURI curriculum for 5 years old children and elementary 2nd ~6th grade mathematics curriculum in [activity] in $\ll$K-teacher's manual book$\gg$. Fifth, it is necessary to handle the mathematics contents explicitly and systematically in [activity] in $\ll$K-teacher's manual book$\gg$.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.475-492
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• 2014

The purpose of this study is to analyze the United States Elementary Mathematics textbooks "Everyday Mathematics", focused on area of the probability. The concept of probability as qualitative probability is taught from Kindergarten in EM curricula for progressive mathematising. EM have reflected both perspectives in probability which are a frequency perspective and a classical perspective. And EM includes abundant activities for remedying the misconceptions of probability. On the basis of the results from this analysis, we have five suggestions which are helpful for the revision of the Korean national curriculum.

• School Mathematics
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• v.12 no.4
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• pp.585-604
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• 2010

This study aims to investigate understanding of meanings of division, quotitive division and partitive division, by the third graders and preservice elementary teachers. To do this, we analysed and compared mathematics textbooks according to 9 mathematics curricula, gathered information about their understanding by questionnaire method targeting 5 third graders and 36 preservice elementary teachers, and analysed their responses in relation to recognition of division-based situations, solution using visual representations, and awareness of quotitive division and partitive division. In Korea, meanings of division have been taught in grade 2 or 3 in various ways according to curricula. In particular, the mathematics textbook of present curriculum shows a couple of radical changes in relation to introduction of division. We raised the necessity of reexamination of these changes, based on our results from questionnaire analysis that show lack of understanding about two meanings of division by the preservice elementary teachers as well as the third graders. And we also induced several didactical implications for teaching meanings of division.