• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.267-287
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• 2015

In this paper, based on the results of analysis on types and strategies of estimation in measurement in the textbooks according to 2009 revised elementary mathematics curriculum, the following four implications are suggested for curriculum development and textbook development for a later date. First, it is necessary to reconcile curriculum and textbooks in contents for estimation in measurement. In 2009 revised elementary mathematics curriculum, only estimation in length, estimation in capacity, estimation in weight, estimation in angular measure are presented. However, estimation in time and estimation in area are presented in textbooks. Second, it is necessary to introduce various strategies for estimation in measurement. In teacher's manual, three strategies like using referent, chunking, unitizing are illustrated. But in textbooks, such strategies are not illustrated properly. Third, the meaning of the 'estimate' need to be clarified. In textbooks, 'estimate' are used also in other contexts. Fourth, it is necessary to clarify whether or not to deal with estimation in time, estimation in area, and estimation in volume in the school curriculum. In 2009 revised elementary mathematics curriculum, estimation in time, estimation in area, and estimation in volume are not mentioned explicitly.

• 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.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.583-605
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• 2016

Problem solving has been consistently emphasized in national mathematics curricula, whereas the foci of such an emphasis have been changed. Given this background, this study traced down major changes in emphasizing problem solving from the first national mathematics curriculum to the most recent 2015 curriculum. In particular, both the 2009 and the 2015 revised curricula were analyzed in detail to figure out the latest emphasis and trends. This paper then investigated whether a series of mathematics textbooks were aligned to the emphases of recent curricula. It finally discussed some issues that we need to reconsider with regards to problems, problem solving strategies, and the process of problem solving. As such, this study is expected to provide textbook developers with detailed implications on how to employ problem solving in new series of textbooks.

• School Mathematics
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• v.12 no.3
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• pp.425-438
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• 2010

Wide employment of open questions is one of the notable features of Korean elementary school mathematics textbooks based on the national curriculum revised in 2007. This study closely looks into mathematics textbooks and teacher's guides for third and fourth graders in the revised curriculum, and discusses the ways those open questions are being presented and the assumed premises of the presentation. It then points out some problems associated with their contents and format, such as the problems with presentation contexts, question sentence styles, question sequences, and the like. Lastly, it summarizes the research issues for further study on open questions in terms of the meaning of open questions, guidelines for teachers, and the roles of teachers and textbooks.

• 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.21 no.1
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• pp.1-22
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• 2017

The properties of arithmetic are considered as essential to understand the principles of calculation and develop effective strategies for calculation in the elementary school level, thanks to agreement on early algebra. Therefore elementary students' misunderstanding of the properties of arithmetic might cause learning difficulties as well as misconcepts in their following learning processes. This study aims to provide elementary teachers a part of pedagogical content knowledge about the properties of arithmetic and to induce some didactical implications for teaching the properties of arithmetic in the elementary school level. To do this, elementary school mathematics textbooks since the period of the first curriculum were analyzed. These results from analysis show which properties of arithmetic have been taught, when they were taught, and how they were taught. Based on them, some didactical implications were suggested for desirable teaching of the properties of arithmetic.

• 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.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.547-573
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• 2021

Capacity is a concept that has been covered in elementary mathematics textbooks but its meaning has not been accurately defined in the textbooks. Two units, liter (L) and milliliter (mL), are introduced as the units of capacity in the textbooks, but they are the units of volume according to the International System of Unit. These stimulated us to analyze what capacity is, and how the capacity is related to the concept of volume. This study scrutinized how the different elementary mathematics textbooks that were developed from the first national curriculum to the most recently revised curriculum introduced the capacity and explained the relationship between capacity and volume. This study also examined the understanding of capacity by elementary school teachers using a questionnaire. The results of this study showed that the concept of capacity has been mostly introduced in the third grade in common but that there were differences among textbooks in terms of how they presented and used the concept of capacity as well as whether they described its definition or relationship with the concept of volume. Regarding the results of teachers' understanding, most teachers could explain the capacity as either "the size of the inner space of the container" or "the amount that can be contained" but some of them provided only superficial or inappropriate feedback for the students with the common misunderstandings of capacity. Based on these results, this paper presents implications for textbook developers and teachers to better address the concept of capacity.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.57-74
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• 2024

This paper analyzed the programming education specialized lessons presented in two types of elementary school mathematics textbooks according to the revised Japanese curriculum in 2017. First, this paper presented in detail how each activity is connected to Korean mathematics areas, what elements of mathematics can be learned through programming education, how each activity is structured, and how the actual programming according to the textbook activities is structured. In Japanese textbooks, geometry and measurement areas were presented the most among Korean mathematics content areas, and mathematical elements such as sequences, rules, and algorithms were most implemented for learning. Digital learning tools that make up actual programming present more elements than those presented in the textbooks and are presented in great detail so that students can do actual programming. Lastly, in blocks, motion, control, and calculation blocks were used a lot. Based on these research results, this study provides implications when conducting programming-related education in Korea.

• School Mathematics
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• v.19 no.4
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• pp.663-690
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• 2017

The aim of this study is to look into the meaning and sub-factors of spatial orientation, compare and analyze mathematics curriculums and textbooks of several countries with respect to spatial orientation and offer suggestions to improve teaching spatial orientation in elementary school mathematics in Korea. In order to attain these purposes, this study examined the meaning and sub-factors of spatial orientation through the theoretical consideration regarding various studies on spatial sense. Based on such examination, this study compared and analyzed mathematics curriculums and textbooks used in South Korea, Singapore, Japan, China, Hong Kong, Finland, United States of America, and Germany with respect to contents of mathematics curriculum and textbooks in grades, sub-factors of spatial orientation, and contexts for spatial orientation. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching spatial orientation in elementary schools in Korea as follows: extending content of spatial orientation in mathematics curriculum, emphasizing spatial orientation across the several grades, especially in the upper grades, providing opportunities to learn the sub-factors of location, direction, coordinates, route, and distance variously, and utilizing various familiar and realistic contexts in the world around students.