• Journal of the Korean School Mathematics Society
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• v.21 no.1
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• pp.19-37
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• 2018

In this study, the actual state of teaching seven extensive quantities (time, length, capacity, weight, area, angle measure, volume) of measurement domain are analyzed comparatively between the 2015 revised elementary school mathematics curriculum in Korea and the 2017 revised elementary school mathematics curriculum in Japan in terms of comparison in measurement, direct measurement, indirect measurement, and estimation in measurement. From the results of this comparative analysis, some implications for discussion on the development of the next elementary school mathematics textbook and the next elementary mathematics curriculum can be suggested. First, it is necessary to discuss on clarifying the range of handling of comparison, direct measurement, indirect measurement, estimation of seven extensive quantities respectively. Second, it is necessary to discuss on doing direct comparison when intuitive comparison is difficult. Third, it is necessary to discuss on reconsidering indirect comparison of weights. Fourth, it is necessary to discuss on reconsidering measurement using arbitrary units in case of angular measures. Fifth, it is necessary to discuss on dealing with estimating the area of $1cm^2$ and $1m^2$ and the volume of $1cm^3$ and $1m^3$ for the purpose to make rough guesses their size respectively.

• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.183-197
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• 2019

The purpose of this study is to support elementary teachers to use the teaching of weights and measures. To help the author of the next elementary mathematics textbook to be used as a reference for the quantitative narrative process. For this purpose, I focused on the contents of textbooks in terms of definition, a unit of measure, and calculation. As a result, first, as for the definition of weights and measures, it is taken as an example rather than as an explicit statement. Second, several problems were found in the metrology content and metric unit introduction order. Third, the computation between measurement units stood in simple computation rather than procedural knowledge. Fourth, it was concluded that the reason and groundbreaking of the grade-specific differences and the amount of a student's education are necessary.

• Communications of Mathematical Education
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• v.38 no.2
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• pp.167-186
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• 2024

Since the 5th mathematics curriculum, the goals of mathematics education have been presented in three categories: cognitive, process, and affective goals. In the 2022 revised mathematics curriculum, the content system was also presented as knowledge-understanding, process-skill, and value-attitude. Therefore, in order to present lesson goals to students, it is necessary to present all three aspects that are the goals of mathematics education. Currently, the lesson titles presented in mathematics textbooks are directly linked to lesson goals and are the first source of information for students during class. Accordingly, this study analyzed how the three categories of lesson titles and content system presented in the 2015 revised 1st and 2nd grade mathematics textbook are connected. As a result, most lesson titles presented two of the three categories, but the reflected elements showed a tendency to focus on the categories of knowledge-understanding and process-skill. Some cases of lesson titles reflected content elements of the value-attitude category, but this showed significant differences depending on the mathematics content area. Considering the goals of mathematics lessons, it will be necessary to look at ways to present lesson titles that reflect the content elements of the value-attitude categories and also explore ways to present them in a balanced way. In particular, considering the fact that students can accurately understand the goals of the knowledge-understanding categories even without presenting them, descriptions that specifically reflect the content elements of the process-skill and value-attitude categories seem necessary. Through this, we attempted to suggest the method of presenting the lesson titles needed when developing the 2022 revised mathematics textbook and help present effective lesson goals using this.

• Communications of Mathematical Education
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• v.38 no.1
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• pp.27-48
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• 2024

In order to prepare for changes in future society, cross-curricular learning is emphasized, and the need to link cross-curricular learning topics and subjects is increasing. However, there are few studies on how to deal with cross-curricular learning in mathematics education. This study analyzed the contents and methods of cross-curricular learning topics in subject-specific curriculum and mathematics textbooks. As a result of the study, the curriculum can be categorized into four types according to the variety of cross-curricular learning topics applied and the presence or absence of a main cross-curricular learning topic, and the mathematics curriculum belongs to the type where some cross-curricular learning topics are dealt with passively and there is no main topic. On the other hand, the analysis of 10 math textbooks for grades 5 and 6 according to the 2015 revised curriculum showed that, unlike the curriculum, various cross-curricular learning topics were applied in the textbooks, mainly environment and sustainable development education, safety and health education, career education, character education, and economic and financial education. In addition, in mathematics textbooks, cross-curricular learning topics appeared in various types such as materials, questions, explanations, illustrations, and in many cases, they appeared mainly as materials or illustrations. Based on these findings, implications were explored and suggested on how to integrate and apply cross-curricular learning topics in mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.161-180
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• 2005

The purpose of this study is to delve into how elementary mathematics textbooks deal with the areas of triangles and quadrilaterals from a viewpoint of the Didactic Transposition Theory. The following conclusion was derived about the teaching of the area concept: The area concept started to be taught perfectly in the 7th curricular textbook, and the focus of area teaching was placed on the area concept, since learners were gradually given opportunities to compare and measure areas. As to the area formulae of triangles and quadrilaterals, the following conclusions were made: First, the 1st curricular, the 2nd curricular and the 3rd curricular textbooks placed emphasis on transposition by textbooks, and the 4th curricular, the 5th curricular and the 6th curricular textbooks accentuated transposition by teachers. The 7th curricular textbooks put stress on knowledge construction by learners; Second, the focus of teaching shifted from a measurement of area to inducing learners to make area formula. Namely, the utilization of area formula itself was accentuated, while algorithm was emphasized in the past; Third, the way to encourage learners to produce area formula changed according to the curricula and in light of learners' level, but a wide range of teaching devices related to the area formulae were removed, which resulted in offering less learning chances to students; Fourth, what to teach about the areas of triangles and quadrilaterals was gradually polished up, and the 7th curricular textbooks removed one of the overlapped area formula of triangle.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.285-295
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• 2013

In this study I examine the definitions of terms related to ratio and rate from 5, 6, 7th revised elementary school math textbooks to discuss the improvements and the remained problems in 2007 curriculum textbook. Next, I make the alternative definitions of the terms, 'biyoul', the value of 'bi', and 'baekboonyul' by re-establishing the relations between them. Finally, I point out that those problems are intrinsic to the attempt of the textbook to introduce the terms related to ratio with little consideration for the mathematical meaning of ratio as a equivalence class.

• Journal of Digital Convergence
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• v.19 no.6
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• pp.29-38
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• 2021

The social studies, mathematics, and science textbooks of the elementary curriculum will begin to be authorized from 2022. This study explores the effect of textbooks based on a gamification motivation strategy on learner interest. For this purpose, this study analyzes whether the systematic application of the gamification motivation strategy to elementary studies textbooks, which will be authorized from 2022, can develop this textbook into a "learner-centered curriculum book that induces interest." More specifically, this study applied Kumsung Publishing's experimental social studies textbooks in class and conducted a questionnaire among 121 third graders to verify the effectiveness of the textbooks. The results show that studies textbooks based on a gamification motivation strategy greatly influence increased learner interest in the classroom. The textbooks also represent a positive influence in learner understanding, interest, and curiosity regarding the class content and assistance. Demonstrating that gamification motivation strategy is worthwhile to actively apply in future textbook development for the enhancement of learners' interests, this study is significant in that it has presented a meaningful textbook development model.

• The Mathematical Education
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• v.58 no.2
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• pp.225-237
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• 2019

The picture of the mathematics curriculum should carry the complex role of relieving the difficulties of mathematics while conveying the core of the mathematics contents well. This study examined the precedence of picture and text harmony and the importance of emotional expression. The discussion of children's picture books became an important reference in this process. The understanding of the child's psychology and cognitive characteristics in the long history of picture books and the insight into the relationship between text and pictures will be important guidelines for elementary school textbooks. Based on these previous studies, this study found some impressive examples of Chinese, Japanese, Indian, and American textbooks on the two complementary relationships between paintings and texts and emotional expressions of paintings. If necessary, we compared these textbooks with Korean textbooks. Through this analysis, this study draws some implications for Korean textbook drawing and textbook production process. That is, the process of reading the picture and interpreting its meaning should be treated as part of the study of mathematics. The mathematical concepts to be dealt with or the sentence description of the problem should be concurrent with the design of the picture. The monotonous expressions and dialogues of characters in textbooks should be avoided, and the personality and emotions of characters should be more abundant and freely expressive.

• The Mathematical Education
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• v.40 no.2
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• pp.265-289
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• 2001

The elementary and middle school curriculum in Korea has been modified periodically to reach today's 7th national curriculum. Although the intent of each new curriculum was to improve education, lack of proper preparation for teachers and students has not made the new curriculums as effective as it could be. Goodlad et al.(1979) suggested that curriculum should encompass all practices including not only knowledge but all the elements of the curriculum and experiences of the student and teachers. The purpose of this paper is to investigate the actual practices of the current curriculum with focus on the use of instructional media in mathematics teaching and learning. A nationwide curriculum survey was carried out with the Goodlad's curriculum inquiry model as the framework. The result shows that elementary and secondary mathematics teachers used textbook manual (for teachers) and practice books most frequently for their class preparation. In addition to these, mathematics teachers also used manipulatives, visual aids, computers, internet, and calculators in a decreasing order. In general, many mathematics teachers did not use much instructional media in their classes and said that there are not enough effective instructional media to use. However, the teachers have positive attitude toward the educational media that they have used. In this study, we analyzed the survey data regarding educational tools, their use and effects to support the development of a new curriculum model in mathematics for a knowledge-based society.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.241-255
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• 2017

The 4th industrial revolution is coming. In order to prepare for the new learning environment with it, we may need digital mathematics textbooks that fully utilize all possible technologies. So various attempts have been made in elementary and middle school mathematics education. However, despite the importance of higher mathematics, we haven't seen a best possible math digital textbooks yet in Korea. In this paper, we introduce our new model of interactive math digital textbook about Linear Algebra/ Calculus/ Differential Equations/ Statistics/ Engineering Math. Especially, this manuscript focuses on our experience of using digital contents and interactive labs for developing a new model for linear algebra digital textbook. We introduce our works on linear algebra digital textbooks which include pdf e-book, web contents, video clips of lectures, interactive lab. Using this linear algebra digital textbook, students can freely use any mobile devices to access diverse learning materials, lessons, and hands-on exercises without any limitations. Also, times saved in the computation, coding, and typing process can be used to have more discussions for deeper understanding of mathematical concepts. This type of linear algebra digital textbook, which contains all interactive free cyber-lab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.