• Education of Primary School Mathematics
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• v.25 no.1
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• pp.57-79
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• 2022

Current mathematics It is necessary to ensure that ratio and proportion concept is not distorted or broken while being treated as if they were easy to teach and learn in school. Therefore, the purpose of this study is to analyze the activities presented in the textbook. Based on prior work, this study reinterpreted the proportional reasoning task from the proportional perspective of Beckmann and Izsak(2015) to the multiplicative structure of Vergnaud(1996) in four ways. This compared how they interpreted the multiplicative structure and relationships between two measurement spaces of ratio and rate units and proportional expression and proportional distribution units presented in the revised textbooks of 2007, 2009, and 2015 curriculum. First, the study found that the proportional reasoning task presented in the ratio and rate section varied by increasing both the ratio structure type and the proportional reasoning activity during the 2009 curriculum, but simplified the content by decreasing both the percentage structure type and the proportional reasoning activity. In addition, during the 2015 curriculum, the content was simplified by decreasing both the type of multiplicative structure of ratio and rate and the type of proportional reasoning, but both the type of multiplicative structure of percentage and the content varied. Second, the study found that, the proportional reasoning task presented in the proportional expression and proportional distribute sections was similar to the previous one, as both the type of multiplicative structure and the type of proportional reasoning strategy increased during the 2009 curriculum. In addition, during the 2015 curriculum, both the type of multiplicative structure and the activity of proportional reasoning increased, but the proportional distribution were similar to the previous one as there was no significant change in the type of multiplicative structure and proportional reasoning. Therefore, teachers need to make efforts to analyze the multiplicative structure and proportional reasoning strategies of the activities presented in the textbook and reconstruct them according to the concepts to teach them so that students can experience proportional reasoning in various situations.

• Journal of The Korean Association of Information Education
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• v.16 no.3
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• pp.299-307
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• 2012

Even though there are many models for educational curriculum of giftedness for children, there is little model for educational methodology and curriculum of information science giftedness of children. A curriculum model for information science giftedness of children is proposed on this study. This model's characteristics is a modular integrated curriculum model combined the mathematics, natural science, and information science. Because there is no regular curriculums of information science at elementary school. this model is valided. Also, There is also need to train multiple areas in the field of information science to expose information science giftedness of the children, This model is to minimize the relationship between modules, and to maximize the cohesion in the each module. As for result of statistics analysis for 60 giftedness students during three years, we know the effectiveness of this model.

• School Mathematics
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• v.19 no.1
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• pp.117-135
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• 2017

Even though patterns and correspondence serve a fundamental basis of function for elementary students, there has been lack of research in this field. This study explored prior studies to extract the key instructional elements on how to teach patterns and correspondence. This study then analyzed the unit of 'patterns and correspondence' in the mathematics textbooks in terms of four key instructional elements (i.e., relation to real-life contexts, diversity of pattern tasks, exploration for a correspondence relationship, and teaching variables). The results of this study showed that topics dealing with patterns and correspondence were represented with relation to real-life contexts but diversity of pattern tasks and exploration for a correspondence relationship were needed to be further considered in the textbooks. Another noticeable result was that teaching variables was not explicitly addressed in the textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with patterns and correspondence.

• 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.19 no.1
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• pp.17-37
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• 2015

In this paper, we compared and analyzed the Korean National Mathematics textbooks of the 2007 amendment curriculum and the Harcourt Math in America focused on fractions and decimals. To summarize the results of the analysis are as follows. First, both textbooks introduce fractions to the meaning of parts-whole concept, but the Harcourt Math is stronger than that of Korean Mathematics textbooks in the concept of unit fractions as a generator of fractions. Second, the fractions can be considered trivial materials - a fraction representing 1 whole, a fraction with it's denominator is 1 - were more clearly represented in our US textbooks than those of our Korean textbooks. Third, in the introduction of the term relating to the fractions, Korea is a strong point of view of the classification of fractions than the point of view of representation in comparison with the case of the United States. Fourth, the equivalent fraction and equivalent decimal concepts were described more detail in the United States of textbooks than those of the case of Korean textbooks. Finally, the approaches of fraction and decimal concepts were introduced more mathematically in the case of the United States than those of the case of Korean textbooks.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.231-253
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• 2009

This paper investigated the views of effective mathematics instruction on the part of teachers. The study was carried out a survey with 223 elementary school teachers in Korea. The questionnaire consisted of the following 4 main categories with a total of 48 factors: (a) the curriculum and content, (b) teaching and learning, (c) classroom environment and atmosphere, and (d) assessment. Some ideas teachers revealed about what would enable good mathematics teaching coincided with previous research. Specifically, teachers agreed with the idea of consideration of students' individual differences or focus on concepts. However, there were differences with regard to the use of technology and the importance of learning environment, which have been emphasized in mathematics education literature. Considering that the teacher plays a key role in implementing good instruction, this paper emphasizes us to attend to teachers' perspectives in order to initiate good teaching at the actual classroom.

• School Mathematics
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• v.18 no.1
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• pp.175-191
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• 2016

In the elementary school mathematics textbook that has been revised in 2013, the instructional sequence for teaching addition and subtraction, which had remained unchanged for three decades since 1982, was finally changed in 2013. Particularly, the addition and subtraction of two-digit numbers without regrouping, such as 72+25=97 or 85-24=61, are taught earlier than the composing and decomposing of the number 10 using other numbers. This study examines the appropriacy and validity of these changes. However, the reason for these changes in the national curriculum or teacher's guide could not be determined. Further, several references emphasize the addition of two single-digit numbers, such as 7+8=15, and the subtraction of a single-digit number from a number between 11 and 19, such as 16-9=7, as basic facts. In other countries' textbooks, the teaching of addition and subtraction up to the number 20 is prioritized before teaching the addition and subtraction of two-digit numbers without regrouping. The results of this study indicate that these changes in the instructional sequence in the textbook that was revised in 2013 need to be reconsidered.

• School Mathematics
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• v.8 no.1
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• pp.1-25
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• 2006

To be good at numeration is an important matter in learning mathematics. Unlike the 6-th curriculum, integers are introduced in middle school curriculum for the first time in the 7-th curriculum. Therefore, to help the students team integers systematically and thoroughly, it is necessary that we allow more space for process of introduction, process of operations and practice of operations in the 7-th curriculum text book than that of 6-th curriculum text book. As specific and systemic visualized teaching of operation is especially important in building the concept of operation, by using visualized teaching methods, students can understand the process of operation more fully and systematically. Moreover, students become proficient in operation of positive number and negative numbers by expending this learning process of operations to the operations used absolute value. In 7-th grade mathematics, the expression of positive numbers and negative numbers visually are useful for understanding of operations for numbers. But it is not easy to do so. In this paper we use arrows(directed segments) to express positive numbers and negative numbers visually and apply them to perform the operations for numbers. Using arrows, we can extend the method used in elementary school mathematics to the methods for operations of positive numbers and negative number in 7-th grade mathematics. By experiments, we can know that such processes of introduction for operations are effective and this way helps teachers teach and students learn.

• Journal of Korean Elementary Science Education
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• v.29 no.2
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• pp.166-185
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• 2010

Astronomy areas in the elementary science textbooks of Korea and the U.S.A. have been compared to find advantages and disadvantages of Korean textbooks. The analysis objects are the 7th national curriculum science textbooks for Korea and the Macmillan McGraw-Hill(MMH) science textbooks for the U.S.A. The results are as follows: First, in contexts, Korean science textbooks contain mostly inquiry activities and partly reading materials. However, MMH ones contain mostly explanations including photographs, related activities, and various reading materials. Second, in the contents and order, the observation activities of constellations are emphasized in Korean science textbooks, while the MMH ones explain solar system up to the universe in details. In addition, Korean science textbooks deal with one subject only once during the whole elementary course while MMH ones deal with one subject repeatedly in several grades. Third, in the frameworks of the international mathematics and science study (TIMSS) 2007, Korean science textbooks do not introduce some contents presented in TIMSS 2007, whereas MMH textbooks introduce every one of them in time. Fourth, the major subjects such as change of moon phases, constellations, the solar system, and change of seasons are handled independently in Korean science textbooks without strong correlation, while they are systematically done related with the rotation and the revolution of the earth in MMH ones.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.105-122
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• 2014

In this paper, fraction division algorithms in Korean elementary mathematics textbooks are analyzed as a part of the groundwork to improve teaching methods for fraction division algorithms. There are seemingly six fraction division algorithms in ${\ll}Math\;5-2{\gg}$, ${\ll}Math\;6-1{\gg}$ textbooks according to the 2006 curriculum. Four of them are standard algorithms which show the multiplication by the reciprocal of the divisors modally. Two non-standard algorithms are independent algorithms, and they have weakness in that the integration to the algorithms 8 is not easy. There is a need to reconsider the introduction of the algorithm 4 in that it is difficult to think algorithm 4 is more efficient than algorithm 3. Because (natural number)${\div}$(natural number)=(natural number)${\times}$(the reciprocal of a natural number) is dealt with in algorithm 2, it can be considered to change algorithm 7 to algorithm 2 alike. In textbooks, by converting fraction division expressions into fraction multiplication expressions through indirect methods, the principles of calculation which guarantee the algorithms are explained. Method of using the transitivity, method of using the models such as number bars or rectangles, method of using the equivalence are those. Direct conversion from fraction division expression to fraction multiplication expression by handling the expression is possible, too, but this is beyond the scope of the curriculum. In textbook, when dealing with (natural number)${\div}$(proper fraction) and converting natural numbers to improper fractions, converting natural numbers to proper fractions is used, but it has been never treated officially.