• School Mathematics
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• v.8 no.3
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• pp.341-364
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• 2006

This paper analyzed contents related to problem solving in the 7th elementary mathematics curriculum in conjunction with main changes in the next curriculum under discussion. This paper then provided detailed analyses of textbooks and workbooks in terms of principal contents, problem solving strategies, content areas, and problem types in order to look closely at how such instructional materials would put the vision of the curriculum into action. It is expected that many issues and suggestions stemming from the analyses will serve basic information to develop next curriculum and its concomitant instructional materials in a way to fostering students' problem solving ability.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.4
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• pp.437-457
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• 2019

In this study, we analyzed how the content and achievement criteria of the Geometry domain of Korean elementary school mathematics curriculum have changed. To this end, based on the analysis framework based on the 2015 revised curriculum, the achievement standards for each period were classified into continuous, extinct, and additional types, and their characteristics were examined. In the domain of Geometry, continuous achievement standards accounted for 51% of the total, and there were many achievement standards that remained unchanged in grade and domain. The extinctive achievement standard is 20.4% of the total, and the mathematics contents that were rapidly introduced due to the modernization of mathematics in the 3rd curriculum were eliminated the most from the 4th curriculum, and after the 7th curriculum, With the introduction of staged curriculum and the system of school year group, the contents of learning were either integrated or moved to middle school. The additional achievement standard was 28.6% of the total, and the achievement standard was added the most with the introduction of spatial sensory development in the 7th curriculum. The GAct that the additivel achievement standard is more than the extinction achievement standard in the Geometry domain is the result of the efforts to actively introduce the geometric contents appropriate to the times despite the great flow of curriculum revision of the curriculum reduction. It is hoped that the results of these studies will be used as basic data in the formation of new achievement standards in future curriculum development.

• School Mathematics
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• v.14 no.1
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• pp.135-150
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• 2012

This paper analyzes the activities for (fraction) ${\times}$(fraction) in Korean elementary textbooks focusing on the connection between visual models and the algorithm. New Korean textbook attempts a new approach to use length model (as well as rectangular area model) for developing the standard algorithm for the multiplication of fractions, $\frac{a}{b}{\times}\frac{d}{c}=\frac{a{\times}d}{b{\times}c}$. However, activities with visual models in the textbook are not well connected to the algorithm. To bridge the gap between activities with models and the algorithm, distributive strategy should be emphasized. A wealth of experience of solving problems of fraction multiplication using the distributive strategy with visual models can serve as a strong basis for developing the algorithm for the multiplication of fractions.

• Proceedings of the Korea Society of Elementary Mathematics Education
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• 2010.08a
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• pp.219-235
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• 2010

학습자들이 미래 사회에 능동적으로 대처하기 위해서는 기존의 지식을 축적, 활용하는 것뿐만 아니라, 새로운 행동 양식을 개발하고 환경의 변화에 적절히 대응해 나갈 수 있는 능동적인 자세와 상응하는 창의적인 힘을 키우기 위해 '창의성 신장'이 강조되고 있다. 선행연구에 따르면 교사의 발문이 학생의 수학 학업성취도, 수학적 사고력향상, 수학에 대한 관심과 흥미에 긍정적인 영향을 주고 있음을 시사하고 있지만, 수학교육에서 창의성 신장을 위한 교사의 발문에 관련한 구체적인 연구는 미흡한 실정이다. 따라서 2007 개정 교육과정에서 강조하는 수학적 의사소통능력과 창의성, 수학적 사고력 신장에 기여하고 학생들의 수학과 학업성취도 뿐만 아니라 정의적 영역(흥미, 태도, 호기심 등)의 향상을 도모할 수 있는 교사 발문의 특성 연구가 필요하다. 본 연구는 도형영역 수업에서 교사의 발문 특성을 분석하고, 수업에서 사용되는 자료와 수업에서 학생들의 수학적 창의성 신장을 효과적으로 도울 수 있는 교사 발문의 특성을 연구하는 것을 목적으로 하였다. 본 연구를 위하여 우리나라 2007개정 교육과정 수학과 4학년 1학기 도형 영역 관련 단원인 삼각형을 주제로 교과서에서 제시한 발문 내용을 분석하고, 실제 교수-학습 과정에서의 교사 발문의 실태를 알아보고자 제주교육인터넷방송국에 탑재되어 있는 7차 교육과정 4학년 1학기, 2학기 도형 관련 3개의 수업을 관찰 및 분석하였다. 이를 통해 수학적 창의성 신장을 위한 교사 발문의 특성을 수학적 창의성의 하위요소별로 나누어 분석하였다. 학생의 창의성 신장을 위해서 교사는 학생들이 다양하게 사고할 수 있도록 자극할 수 있는 발문을 준비하고, 수업 진행시 하나의 발문에 대해 다수의 반응을 유도하고, 학생의 응답에 대해 단순한 '맞다, 틀리다'의 판단을 내리기 보다는 그 근거를 설명할 수 있는 기회를 마련해 주어 학생이 수학 수업에 흥미를 갖고 스스로 참여할 수 있도록 유도해야 함을 제안하였다.

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.95-103
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• 2008

The 7th national mathematics curriculum was revised in 2007. According to the revision curriculum, new texts and guides are developed and will come into effect for elementary and secondary school in 2009. Some contents are shifted and also newly added at the revision curriculum. This paper analyzed the gap between the revision and the 7th national mathematics curriculum based on the shifts in contents, and investigated on the difficulties that some graders probably will undergo owing to shifting the contents between grades. As a result, several important problems were found in some graders between the revision and the 7th national mathematics curriculum. In particular, some graders could not have a chance to learn some mathematical concepts without another lesson plans. For some graders, special lesson plans and supplementations are required. The brief summary of these supplementations as follows: ⅰ) For entering students in 2005, the supplementations about equations and direct proportion and inverse proportion should be needed at the 6th grade in 2010 or at the 7th grade in 2011. ⅱ) For entering students in 2006, the supplementations about estimations and correspondence should be needed at the 4th grade in 2009 or at the 5th grade in 2010. And the supplementations about the relation of fractions and decimals and the ratio should be needed at the 5th grade in 2010. ⅲ) For entering students in 2007, the supplementations about the addition and subtraction of time using second unit and the addition and subtraction of weight should be needed at the 3th grade in 2009 or at the 4th grade in 2010.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.105-129
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• 2016

The elements of mathematical processes include mathematical reasoning, mathematical problem-solving, and mathematical communications. Proportion reasoning is a kind of mathematical reasoning which is closely related to the ratio and percent concepts. Proportion reasoning is the essence of primary mathematics, and a basic mathematical concept required for the following more-complicated concepts. Therefore, the study aims to analyze the proportion reasoning ability of sixth graders of primary school who have already learned the ratio and percent concepts. To allow teachers to quickly recognize and help students who have difficulty solving a proportion reasoning problem, this study analyzed the characteristics and patterns of proportion reasoning of sixth graders of primary school. The purpose of this study is to provide implications for learning and teaching of future proportion reasoning of higher levels. In order to solve these study tasks, proportion reasoning problems were developed, and a total of 22 sixth graders of primary school were asked to solve these questions for a total of twice, once before and after they learned the ratio and percent concepts included in the 2009 revised mathematical curricula. Students' strategies and levels of proportional reasoning were analyzed by setting up the four different sections and classifying and analyzing the patterns of correct and wrong answers to the questions of each section. The results are followings; First, the 6th graders of primary school were able to utilize various proportion reasoning strategies depending on the conditions and patterns of mathematical assignments given to them. Second, most of the sixth graders of primary school remained at three levels of multiplicative reasoning. The most frequently adopted strategies by these sixth graders were the fraction strategy, the between-comparison strategy, and the within-comparison strategy. Third, the sixth graders of primary school often showed difficulty doing relative comparison. Fourth, the sixth graders of primary school placed the greatest concentration on the numbers given in the mathematical questions.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.69-84
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• 2017

The purpose of this study is to review how to introduce a division algorithm in mathematics textbooks which were applied 2009 revised curriculum. As a result, the textbooks do not introduce the algorithm in the context of division by equal part. The standardized division algorithm was introduced apart from the stepwise division algorithms and there is no explanation in between them. And there is a lack connectivity between activities and algorithms. This study is expected to help new curriculum and textbook to introduce division algorithm in proper way.

• School Mathematics
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• v.7 no.3
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• pp.269-286
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• 2005

The purpose of this paper is to study the spatial sense that is introduced for the first time in our 7th mathematics curriculum. For this purpose, we first investigated the factors of the spatial sense ability and with this factors, we analyze the errors those was founded in elementary school students' carrying out tasks related to the spatial sense, and the contents of elementary mathematics textbook. From the analysis, we found that the teaching topics in the spatial sense is disagreed with the students' learning level and for each similar topics is cut off into not adjacent grades, connecting these topics to each other and to the other traditional geo-metric topics is not easy. we must consider this findings in the future revision of mathematics curriculum.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.413-430
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• 2013

The purpose of this study was to analyze mathematical storytelling in Korean elementary mathematics textbooks and propose some applications for better storytelling, Storytelling strategies were introduced for enhancing students' understanding on mathematical concepts and improving students' attitudes toward mathematics. For this study, the researcher analyzed the 2nd grade mathematics textbook that employs storytelling strategies. The results are as follows. First, current storytelling textbook chapter is designed to appreciate students' intellectual autonomy. Second, current storytelling textbook chapter includes the storytelling that helps understand mathematical concepts and exercise mathematical skills. Third, current storytelling textbook chapter is designed for enhancing students' interest and helping students' character education. The researcher suggested the followings. First, a long term field-based research should be continued for more improved mathematical storytelling materials. Second, a digital format storytelling also needs to be developed as an alternative strategy of mathematical storytelling, which reinforces interactions between teller and listeners.

• Education of Primary School Mathematics
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• v.16 no.1
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• pp.57-70
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• 2013

This study is aimed to compare the area of geometry of elementary mathematics textbooks in korea and china. Through this study, we would like to suggest some guidelines in order to develop geometric curriculum and textbooks in korea and to search for more efficient methods of learning mathematics. For this, we have looked through the general characteristics of geometry domain in mathematics curriculums and the textbooks in korea and china. Furthermore, we have found the similarities and differences while comparing specific contents in the two countries. The followings are the conclusions of this study. First, The mathematics curriculum in korea is divided into 'figure' domain, but the one in china is divided into 'space and figure' domain, which deals with figure and measurement. And china constructs the contents of the basic figure as a whole unit. Second, korea gives clear learning aims about contents whereas china gives learning activities. Lastly, when starting teaching a plain figure, korea focuses on checking and finding definitions and characters through fundamental figures. However, china focuses on figuring out components and the relations among them throughout various plain figure activities.