• 대한수학교육학회지:학교수학
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• 제12권3호
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• pp.389-410
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• 2010

이 논문에서는 사각형의 상호 관계가 우리나라 교육과정에 어떻게 자리 잡게 되었는지를 살펴보고자 하였다. 이를 위해 1차, 2차, 3차 교육과정기에 발행된 국가수준 교육과정 문서, 교과서는 물론 당시 발간된 교사용 지도서, 교육과정 해설서, 실험용 교사용 지도서 등을 고찰하였다. 사각형의 상호 관계는 3차 교육과정에서 본격적으로 교육내용을 자리 잡았으며, 집합의 포함 관계를 지도할 수 있는 소재로서 주목을 받았다. 특히 사각형의 정의를 바탕으로 상호 관계를 이해하도록 하였는데, 이는 수학적 정의의 중요한 학문적 기능인, 범주화와 그를 통한 논증의 용이성과 관련 시킬 수 있다. 이 논문의 연구결과는, 국가수준에서 수학교육내용으로서 사각형의 상호 관계의 적정성을 판단할 때 기초적인 창조 자료가 될 것으로 기대한다.

• 대한수학교육학회지:학교수학
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• 제4권4호
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• pp.633-642
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• 2002

This paper focuses on the concepts of a value of ratio and a rate in elementary school mathematics. Although the concept of a value of ratio can be distinguished meaningfully from that of a rate by phenomenological analyses, this distinction is impossible at the elementary school level. Two concepts tend to be treated as identical, therefore they need to be classified by the other methods. By analyzing the series of mathematics textbooks from the first curriculum to the present 7th curriculum, this paper investigated how two concepts have been transposed into the products of school mathematics. In addition, we discussed how the difference of two concepts in the changing process of definitions have been presented clearly to the students. As a result, this paper concluded that the difference of two concepts has not been developed clearly for elementary students in general, except the textbook by the 7th curriculum. The definitions of two concepts were described obscurely so that the students may confuse the concept of a value of ratio with that of a rate. The role of a value of ratio needs to be reconsidered when it is applied to set proportional expressions. Therefore, this paper suggests not adhering to the terminology ‘value of ratio’ to present the ratio as a quotient or the rate as a fractional representation in school mathematics.

• 대한수학교육학회지:수학교육학연구
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• 제22권3호
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• pp.311-329
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• 2012

본 연구는 초등학교 3학년 학생들을 대상으로 연속량과 이산량 맥락에서 전체-부분으로서의 분수에 대한 이해를 분석하였다. 동형인 문제에 대해 맥락별로 성취도의 차이를 살펴보았는데 예상과 달리 연속량의 성취도가 이산량의 성취도보다 약간 낮았다. 각 맥락별로 드러나는 전형적인 오류를 분석하고 이에 대한 원인을 살펴본 결과 학생들이 맥락별로 적용하는 전략에 차이가 있었고, 그에 따라 겪는 어려움의 원인이 달랐다. 이와 같은 연구 결과를 바탕으로 본 논문은 각 맥락에 적합한 교과서 구성 및 교수 학습에 대한 시사점을 제공하고자 한다.

• 대한지구과학교육학회지
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• 제5권1호
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• pp.42-50
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• 2012

The Purpose of this study was to analyze STS contents in elementary school science textbooks according to 6th, 7th and revision 2007 national curriculum. The contents of STS were analyzed by the STS elements of Yager and the STS topics of Piel's standard. Major findings from the analyses are as follows: (1) The STS contents in the science textbooks of the 6th curriculum took up 13.7% and increased to 18.3% in the 7th and 19.0% in the revision 2007, which showed that the textbooks followed the goal of the national curriculum faithfully. (2) Based on the STS elements by Yager's standard, most of STS content is focused on 'Application of science', 'Social problems and issues' and 'Local and community relevance'. (3) Based on the STS topics by Piel's standard, most of STS contents are focused on 'Effect of technological development' and 'Society of science'. These results indicate that recent STS education trends are reflected on the 6th, 7th and revision 2007 textbooks well. However, it is suggested that some improvement is needed, such as diversification of topic.

• East Asian mathematical journal
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• 제31권2호
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• pp.275-299
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• 2015

The purpose of this study is to provide an opportunity for better understanding and application of 2009 revised elementary school mathematics textbooks through survey data and focus group interview on structures of textbooks. First, We collect online survey results which 2333 elementary school teachers participated. Next, We interview focus group(8 teachers) about shapes of textbooks, quantity of learning contents, activities and problems for evaluation in the mathematics lessons. Storytelling is especially issued in the 2009 revised mathematics curriculum. We intensively discuss learning and teaching methods with application of storytelling textbooks; interests of students, role of storytelling textbooks etc. As results of analysis, the positive rate to use the 2009 revised textbooks is relatively high about shapes and activities of textbooks. But there is more considered about storytelling method. Storytelling may be positive on improvement of learning interests and participation of students. In order to develop these advantages, studies in relation of storytelling are more proceeded and teaching materials for teachers are required effectively in order to applicate to the elementary school.

• East Asian mathematical journal
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• 제30권4호
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• pp.405-438
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• 2014

This study analyzed and discussed instruction methods of polyhedrons in elementary mathematics textbook by using the didactic transposition theory. By further segmenting instruction methods, we analyzed the period and order of teaching of polyhedrons, its definitions and presentation methods, and how instruction methods has changed so far. In elementary mathematics textbooks from the 1st to the 2007 revised curriculum, we choose the part where polyhedrons are introduced as the search-target, and analyzed instruction methods in these textbooks by using phenomenological description. The instruction period and order of polyhedrons were systemized when the system of Euclid geometry was introduced, considering the psychological condition of students, and the instruction period and order had been refined according to the curriculum. And methods of definition took into consideration both the academic systems and psychological situations. Also, the subject of learning has changed from textbook and teachers to students. Polyhedrons were connected to real life and students could build up their knowledge by themselves. Constructions were aimed at the understanding of meaning of contents, rather than at itself. Through these analyses, we have some suggestions on the teaching of polyhedrons in the elementary mathematics.

• 수산해양교육연구
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• 제24권6호
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• pp.1013-1026
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• 2012

The 2007 revised social studies curriculum emphasizes history education in particular. Thus the contents of the history section previously scattered through 3rd, 4th, 5th and 6th grades are now integrated into the first and second semesters of the 5th grade in elementary social studies. Therefore, this research intend to gain insights that could be used as a reference when making next social textbooks by analyzing social textbooks of the 7th and the 2007 revised curriculum. The conclusions of comparative analysis on social textbooks of the 7th and the 2007 revised curriculum are as follows: The textbook units according to the 2007 revised curriculum were a reorganization of the contents from the 7th's 6th grade 1st semester contents per unit in a chronological flow. Meanwhile, the topic was introduced to supplement historic contents afresh. The 2007 revised curriculum focused on the life history, cultural history, personal history.

• East Asian mathematical journal
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• 제29권4호
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• pp.355-392
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• 2013

Generally school algebra is to start with introducing variables and algebraic expressions, which have major cognitive obstacles to students in the transfer from arithmetic to algebra. But the recent studies in the teaching school algebra argue the algebraic thinking from an early algebraic point of view. We compare the Korean elementary mathematics textbooks with Americans from this perspective. First, we discuss the history of school algebra in the school curriculum. And Second, we investigate the recent studies in relation to early algebra. We clarify the goals of this study(the importance of early algebra in the elementary school) through these discussions. Next we examine closely the number sense in the arithmetic and the symbol sense in the algebra. And we conclude that the operation sense can connect these senses within early algebra using the algebraic thinking. Finally, we compare the elementary mathematics books between Korean and American according to the components of the operation sense. In this comparative study, we identify a possibility of teaching algebraic thinking in the elementary mathematics and early algebra can be introduced to the elementary mathematics textbooks from aspects of the operation sense.

• East Asian mathematical journal
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• 제33권4호
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• pp.353-380
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• 2017

The purpose of this study is to analyze the multiplication units in the elementary school mathematics. In the 2015 revised curriculum, students learn multiplication in $2^{nd}$ grade. The multiplication units is divided into two: multiplication and multiplication facts. In these two units, we mainly analyze situations involving multiplication, models for teaching multiplication, and multiplication strategies for teaching multiplication facts in relation to Subject Matter Knowledge. We called these contents Multiplication Matter Knowledge. We examined the precedent study with regard to multiplication at the elementary mathematics. As results, we prepared an analysis framework for this study. This study was conducted according to qualitative research methods, expecially 'qualitative contents analysis'. The contents here refer to Multiplication Matter Knowledge that can be found in the elementary mathematics textbooks and working books etc. As results of analysis, We can confirm that various multiplication situations and multiplication models are presented in the textbooks. And it has been examined that various multiplication properties are presented in the textbook according to the multiplication strategy levels. We insist elementary school teachers should be aware of these Multiplication Matter Knowledge. This study aims to provide elementary school teachers with basic data in these contexts.

• 수산해양교육연구
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• 제21권3호
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• pp.420-435
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• 2009

The aims of this study are to analyze and compare the elementary textbook contents of science in Korea, USA and England and to make suggestions for the improvement of integrative contents in Korean science textbooks. For this study, lessons on living things in the three grade science textbooks of three different countries were selected and analyzed according to the five criteria: component elements of the lesson, integration of knowledges and investigations, integration of subject and life, connection with other subjects and focus of integration. From this comparative study, five suggestions are inferred for the improvement of the Korean elementary science textbooks. First, it is recommended that Korean textbooks should present unit objectives and evaluative components in the introductive part and last part of each lesson. Second, Korean textbooks should include scientific knowledges as a way of presenting educational contents. Third, Korean textbooks are recommended to include integrated contents fitting for students' life context. Fourth, Korean textbooks are recommended to integrate contents in connection with mathematics, arts, literature and so on. Fifth, issues which can facilitate students to understand contents in the textbooks and to relate to their life should be more employed.