• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.111-136
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• 2005

초등 수학 교과의 내용을 아동들에게 정확하게 가르치기 위한 목적으로 교사에게 제공되는 교수-학습 자료 지침서로서 교사용 지도서의 역할은 대단히 중요하다. 그러나, 수학을 전문적으로 전공하지 않은 초등교사의 입장에서는 각 차시별로 전개되는 내용들 사이의 연관성이나 위계성에 대한 보다 더 상세한 지도내용에 대한 안내가 필요할 것으로 사료된다. 따라서, 본 연구에서는 초등수학 3-나 단계를 중심으로 각 차시별로 전개되는 내용들 사이의 연관성에 대한 보다 더 상세한 지도내용 뿐만 아니라, 수학사 및 실생활 관련자료, 동기유발 자료 등을 이용하여 수학사 및 교사용 지도서를 수정, 보완하여 재구성한 후, 일선 학급에 투입한 후, 교사들과 아동들의 반응들을 분석하여, 향후 보다 더 개선된 교사용 지도서를 만들 수 있는 아이디어를 제시 하고자 한다.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.111-130
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• 2018

In this study, I compared and analyzed the contents of Korean, Japanese, Singapore, American, and Finnish textbooks about fraction which is one of the important and difficult concepts in elementary school mathematics. This is aimed to get the implications for meaningful fractional teaching and learning by analyzing the advantages and disadvantages of the methods and time of introducing the concept because fraction has the diversity of the sub-concepts and the introducing methods or process. As a result of the analysis, the fraction was introduced as part-whole(area) in all five countries' textbooks, but the use of number line, conversion between improper fraction and mixed number, whether to deal with part-whole(set) model. Furthermore, there are differences in the methods in obtaining of the equivalent fraction and the order of arrangement in comparison of fraction. Through this analysis, we discussed the reconsideration of the introducing contexts of fractions, the use of number line when introducing fractions, and the problem of segmentation and classification of contents.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.549-568
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• 2010

This paper analyzed the topics dealing with three-dimensional figures in most recently revised mathematics textbooks on the basis of the national mathematics curriculum announced in 2007. First, the overall content was analyzed with regard to how textbooks were aligned to the curriculum as well as how the main elements including the definitions of specific solid figures were introduced and developed in different units across grades. Second, the instructional methods of three-dimensional figures were analyzed, which specifically revealed the lack of inquiry phase before introducing cones and pyramids. Third, the instructional methods to foster students' spatial sense with solid figures were analyzed, which showed the increased focus on the prediction and representation of figures. It is expected that the issues and suggestions from this study are informative revising curricular materials and applying them to the classroom.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.111-135
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• 2005

In this study I compared Korea's elementary school mathematics curriculum and its handbook with Japan's curriculum and its handbook. Based on that work, I induced some suggestions which is useful to develop mathematics curriculum in the future. First, the purposes of Korea's elementary school mathematics curriculum focused on the system of mathematics, scholastic ability and learning volition. On the other hand, Japan's curriculum concentrated on the utility of mathematics in daily life and the motive of learning mathematics. Secondly, purposes of mathematics education written in Japan's curriculum handbook, differing from Korea's, are closely divided into concrete items. Finally, purposes of mathematics education in each grade, written in Japan's curriculum handbook, are presented in outlined form according to general purpose of mathematics curriculum. The merit of this way is that the researcher could display flexibilities and creativities in making mathematics textbook.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.43-57
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• 2019

The meaning of zero as a number signifying nothing is introduced as a number 1 less than 1 in the first grade mathematics textbook. In addition, the first appearance of the properties of zero are described by exemplary situations of adding zero, subtracting zero, and multiplying by zero in the first and second grade mathematics textbooks. The meaning and the properties of 0, however, are not explicitly dealt with any longer in the follow-up learning. In this study, we discuss the way of introducing zero and the applications of the properties of zero for solving number sentences so that they could help elementary school students understand the meaning and the properties of zero. Based on these results, we suggest some educational implications on teaching and learning mathematics of zero.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.2
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• pp.421-440
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• 2010

Our country has excessive amount of learning per hour compared with Japan and Singapore. And as there is no consistence for definition of time between grades, it deteriorates understanding of students. Our country teaches students focusing on time algorism whereas Japan and Singapore teaches their students focusing on flow of time. In composing of mathematics textbook in Korea, Japan and Singapore, textbook of our country contains far more of learning compared with the amount designated in textbooks. Textbooks of Japan contains less teaching elements, but instead it contains much activities to expedite time sense As time is distributed in activities of students, it is more important to construct textbooks with experience of students rather than algorism approaches. In addition, textbooks of Singapore contains various examples and clarified concepts compared with those of our country. Like above, time teaching deployment methods of Japan and Singapore gives us good lessons for teaching time in our country, and it is expected be good reference for future development of our textbooks.

• 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.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.21-58
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• 2015

The aim of this study is to look into the didactical background for teaching proportional reasoning in elementary school mathematics and offer suggestions to improve teaching proportional reasoning in the future. In order to attain these purposes, this study extracted and examined key ideas with respect to the didactical background on teaching proportional reasoning through a theoretical consideration regarding various studies on proportional reasoning. Based on such examination, this study compared and analyzed textbooks used in the United States, the United Kingdom, and South Korea. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: giving much weight on proportional reasoning, emphasizing multiplicative comparison and discerning between additive comparison and multiplicative comparison, underlining the ratio concept as an equivalent relation, balancing between comparisons tasks and missing value tasks inclusive of quantitative and qualitative, algebraic and geometrical aspects, emphasizing informal strategies of students before teaching cross-product method, and utilizing informal and pre-formal models actively.

• Journal of Educational Research in Mathematics
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• v.20 no.4
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• pp.445-458
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• 2010

This study intends to investigate the process of the development of quantity concept and how to deal with the quantity calculus in elementary school, and to find out the implication for improving the curriculum and mathematics textbooks of Korea. There had been the binary Greek categories of discrete number and continuous magnitude in quantity concept, but by the Stevin's introduction of decimal, the unification of these notions became complete. As a result of analyzing of the curriculum and mathematics textbooks of Korea, there is a tendency to disregard the teaching of quantity and its calculus compared to the other countries. Especially multiplication and division of quantity is seldom treated in elementary mathematics textbooks. So these should be reconsidered in order to seek the direction for improvement of mathematic teaching. And Korea's textbooks need the emphasis on the quantity calculus and on constructing quantity concept.

• 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.