• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.109-128
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• 2020

South Korea places the core of public education in school education, and textbooks are compiled based on curriculum announced by the Education Ministry. Therefore, the compilation of high-quality textbooks is very important and requires more than just revising the curriculum. Korea had been working on developing textbooks several times, but it has been evaluated as a uniform textbook in terms of external system and editing design compared to advanced foreign textbooks. This can be said to be the result of the based to only the textbook's internal system, which should be dealt with in the textbook when compiling the textbook. The textbooks which were developed at seventh curriculum were made remarkable changes in the history of South Korea textbooks. In this study, we want to examine the nation's state-authored textbooks, from the seventh textbook to the current textbook in 2015 by order of magnitude and to give a careful look at what aspects of the changes are being made. To this end, the composition of textbooks is analyzed by dividing them into external and internal systems. The external system of textbooks focuses on changes in plate form, shape, lipid, color, and illustration, while the internal system focuses on changes in the composition system of the unit, the composition system of the contents by lesson, and the style of question. As a result, we led to a significant conclusion on the changes in textbooks.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.97-111
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• 2018

This study is to establish the domains and the standards of instructional evaluation on the teacher knowledge dealing with the knowledge of 'teaching and learning methods and assessment'. Especially, in this study, the instruction assessment standards are developed focused on the six types of mathematics competencies such as problem solving, communication, reasoning, creativity and collaboration, information and handling, attitude and practice which were emphasized in the mathematical curriculum revised in 2015. By the result, seventh evaluation domains such as an instruction involving problem-solving activity, an instruction involving reasoning activity, instruction involving communication activity, instruction on information and handling activity, instruction involving learners' achievement level and attitude, instruction involving the development of assessment method and tool, instruction applying on assessment result were new established. According to those domains, the 19 instructional evaluation standards were developed totally. This study is limited to consider the domain of 'teaching and learning methods and assessment' among the domains of teacher knowledge, while dealing with the elements of mathematics competencies in the standards. However, instructional evaluation standards reflecting these competencies should be developed in the other diverse domains of teacher knowledge.

• Communications of Mathematical Education
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• v.37 no.4
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• pp.635-652
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• 2023

This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.1-17
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• 2022

It summarized and analyzed how the definitions of prism, which is the main mathematics education contents of the upper grades of elementary school, have changed from the teaching period to the 2015 revised curriculum. To this end, the definition method was divided into three methods, and how each method was used in each curriculum was examined. Through this, it was confirmed that the definitions of prism were quite different for each curriculum period. In addition, the implications for the definition of each prism were compressed and presented. It will be an opportunity for the textbook author to think about what is a more meaningful definition method of prism.

• Education of Primary School Mathematics
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• v.27 no.2
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• pp.139-153
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• 2024

This analysis was intended to present pedagogical implications related to the guidance of solid figures in elementary mathematics textbooks. The definitions of mathematical concepts and visually represented examples presented in the prism and pyramid units were analyzed. As a result of the analysis, differences were observed in both the method and content of defining mathematical concepts, even though the same curriculum was reflected. Additionally, various forms of visual examples were provided during the learning process of prisms and pyramids. Based on the results of this analysis, it is necessary to understand the definition of mathematical concepts and to teach students in an appropriate manner, considering the goals of each session and the objectives of the activities involved in presenting visual examples.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.47-61
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• 2019

The objectives of this study were to explore the difficulties of high school mathematics teachers while guiding students and to examine whether the perception of difficulties varied by gender, position, and work experience. This study randomly chose 36 mathematics teachers as participants and they were living in six cities or provinces in South Korea. The results showed that teachers experienced difficulties while guiding students, in student evaluation and teaching and learning methods, in the order of magnitude. There was no statistical difference by gender, position, and work experience. Unlike the results of previous studies suggesting that mathematics content knowledge and pedagogical knowledge would help students guide students, the results of this study revealed that they had relatively little impact on student guidance.

• 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.

• School Mathematics
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• v.17 no.2
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• pp.179-202
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• 2015

In this research, I explored how to apply the history of mathematics in teacher education and investigated the applicability of Chosun Sanhak (mathematics of Chosun Dynasty) as the program that enriched the mathematical knowledge for teaching of prospective elementary school teachers. This program included not only mathematical knowledge but also socio-cultural knowledge and connection knowledge. Prospective teachers participated in various mathematical activities such as explaining, reasoning and problem solving in this program. The effects of this program are as follows. Prospective teachers learned the subject matter knowledge(SMK) which was helpful in teaching basic concepts and skills of elementary mathematics. Next, this program produced the pedagogical content knowledge(PCK) to prospective teachers by giving ideas how to teach.

• School Mathematics
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• v.6 no.2
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• pp.181-211
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• 2004

Recently, there are many countries which have tried to renew mathematics curriculum in the world. The study aims to induce useful implications for improving our mathematics curriculum through reflections on revised mathematics curriculums in many countries. In order to attain these purposes, the present paper reflects systems and contents of mathematics curriculum of Germany, which is not well known to us in spite of old mathematical tradition including Klein's theory for mathematics education. But there are inherent mathematics curriculum for each state in Germany Therefore this paper analyzes mathematics curriculum in state Nordrhein-Westfalen. Under these analyses, implications for our mathematics curriculum are discussed.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.179-203
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• 2015

In this study, connections between the NURI curriculum for 5 years old children and the contents of teacher's manual books according to it and the contents of elementary 1st grade mathematics curriculum and textbooks was analyzed to find the implications that can help to link the two curricula in the development of kindergarten and elementary school mathematics curriculum. The five following implications could be obtained from the analysis. First, it is necessary to connect the contents of the NURI curriculum for 5 years old children which were completed in that curriculum like 'spatial relation'in geometric figure domain and 'data collection'in probability and statistics domain to the contents of the 1st grade curriculum. Second, in the case of the contents not connected between the NURI curriculum for 5 years old children and the contents of elementary 1st grade mathematics curriculum but connected between the NURI curriculum for 5 years old children and the contents of elementary 2nd ~6th grade mathematics curriculum, it is necessary to re-adjust the hierarchy based on one of the curricula. Third, it is necessary to check whether $\ll$K-teacher's manual book$\gg$ obey the NURI curriculum for 5 years old children or not. Fourth, it is necessary to review the related elements of the NURI curriculum for 5 years old children and elementary 2nd ~6th grade mathematics curriculum in [activity] in $\ll$K-teacher's manual book$\gg$. Fifth, it is necessary to handle the mathematics contents explicitly and systematically in [activity] in $\ll$K-teacher's manual book$\gg$.