• Communications of Mathematical Education
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• v.27 no.4
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• pp.449-472
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• 2013

Instructional materials including problem situations or problems or tasks on real-life situations are considered as an important and significant factor to lead a successful math instruction. MiC Textbook is a representative one showing good examples and tasks including fluent realistic situations on the basis of the background of the Freudenthal's theory. This study explores concretely and in detail the type of level of mathematical tasks, by the subject of MiC Textbook. To accomplish this, this study reconstructs and establishes an elaborated analysis framework using 'the cognitive demand level' suggested by Stein, et, al. The cognitive demand level is comprized of four elements such as Memorization Tasks, Procedures Without Connections Tasks, Procedures With Connections Tasks, and Doing Mathematics Tasks. Memorization Tasks and Procedures Without Connections Tasks are considered as low level tasks, and Procedures With Connections Tasks and Doing Mathematics Tasks are as high level tasks. MiC Textbook is comprized of the four areas of 'number', 'algebra', 'geometry and measurement', and 'data analysis and statistics'. This study deals with the tasks relevant to Function content dealt with in MiC 3 level Textbook, and explore the level of cognitive demands on each task.

• Communications of Mathematical Education
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• v.36 no.1
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• pp.139-170
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• 2022

In relation to differentiated mathematics education, Russia has a longer experience in research and practice than Korea. The mathematics curriculum for 10-11 grades currently in use in Russia is a level-specific curriculum and consists of a basic level and an advanced level. And in Russia mathematics textbooks for 10-11 grades are also textbooks for each level. In this study, we analyzed basic level textbook and advanced level textbook written by the same author group among the textbooks 'Algebra and Introduction of Mathematical Analysis' of the 10th grade in Russia. To analyze the main learning contents and textbook descriptions that were added in advanced level the 'real numbers' and 'complex numbers' sections were studied. The main contents of basic and advanced level textbooks for 'functions', 'trigonometric functions', 'trigonometric equations', 'conversions of trigonometric expressions', and 'derivatives', which are included in both basic and advanced textbooks were compared and analyzed, and the descriptive characteristics of the definitions and theorems presented in the two levels of textbooks were also compared and analyzed. From the results of this study, it is expected that various information on the contents of various level textbooks of mathematics, the differences between textbooks for each level, and strategies for the composition of textbooks for various level can be accumulated.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.251-266
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• 2015

The statement, 'Taking more mathematics would result a better mathematics teacher.' sounds plausible. However, it is questionable that how much of taking university level of mathematics such as abstract algebra and real analysis would affect to teach elementary mathematics well. Would a mathematician be a better teacher for elementary students to teach mathematics than who has been prepared to teach elementary mathematics? This paper reports the effects of opportunities to learn tertiary level mathematics and school level mathematics on pre-service primary school teachers' mathematics pedagogical content knowledge. The study analyzed Teacher Education and Development Study in Mathematics 2008 (TEDS-M 2008) database using multiple regression. Prospective primary teachers who have been prepared as generalist were the focus of the study. The results support future elementary teachers might need to have opportunities to revisit school mathematics they are going to teach.

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.403-428
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• 2003

This study intends to compare the mathematics contents included in the mathematics curriculum of Korea, California in USA, England, and Japan. The result of this comparison is that there are big differences on ranges, depths, and grades between mathematics contents in four countries' mathematics curriculum. In Korea, more contents are dealt in earlier grade and to higher level than other countries. And, these features are revealed more apparently in the area of algebra, analysis, and geometry than probability and statistics.

• Korean Journal of Computational Design and Engineering
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• v.10 no.6
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• pp.432-443
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• 2005

Recent three-dimensional feature-based CAD systems based on solid or non-manifold modelling functionality have been widely used for product design in manufacturing companies. When product models associated with features are used in various downstream applications such as analysis, however, simplified and abstracted models at various levels of detail (LODs) are frequently more desirable and useful than the full detailed model. To provide multi-resolution models, the features need to be rearranged according to a criterion that measures the significance of the feature. However, if the features are rearranged, the resulting shape is possibly different from the original because union and subtraction Boolean operations are not commutative. To solve this problem, in this paper, the new concept of the effective zone of a feature is defined and identified using Boolean algebra. By introducing the effective zone, an arbitrary rearrangement of features becomes possible and arbitrary LOD criteria may be selected to suit various applications. Besides, because the effective zone of a feature is independent of the data structure of the model, the multi-resolution modelling algorithm based on the effective zone can be implemented on any 3D CAD system based on conventional solid representations as well as non-manifold topological (NMT) representations.

• Journal of the Korean association of regional geographers
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• v.10 no.3
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• pp.606-623
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• 2004

Emergency medical service pertains highly to the public service sector which has to be provided equally in a society and evenly in a spatial dimension by the government. However, emergency medical centers in Korea are inequally distributed in a space and also human capital, facility, and equipment for emergency medical centers show clear disparity among regions. This research analyzed the spatial balance of the demand supply level for emergency medical service in Seoul by constructing the potential demand surface map and supply surface map for this service. The surface map of demand-supply balance for emergency medical service was constructed by GIS based map algebra algorism. The results by this analysis very clearly reveal the spatial disparity of emergency medical service. The places where are over-represented by demand level compared to their supply level are estimated to require an additional establishment of emergency medical centers in the near future. While, the places where are over-represented by supply level compared to their potential demand for emergency medical services indicate the possibility of problems in the management of emergency medical centers because of a surplus in the supply of emergency medical services. The results of this research can be utilized in providing valuable information for the adequate provision of emergency medical centers and for the estimation of range on the service area of emergency medical services.

• Journal of the Korean School Mathematics Society
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• v.13 no.3
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• pp.357-379
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• 2010

There are many studies about the method of trying leveled class because we say the Excellence of Education after high school's Equalization Policy. After the leveled c1ass, Ministry of Education, Science and Tech. announced the induction of leveled classes' evaluation in 2008, it is called that students take classes adapted to their levels. This study illustrates criteria of forming evaluation, it composes leveled assessment tests referenced by Gibb's evaluation effects & Cotton's evaluation principles. Before anything else, this study induced contents of studies which is emphasized the structure rather than the arithmetic that is based on Foucault' s analysis of mathematics' class and examination & MacGregor's point of algebra. Since then we made leveled assessment tests which made by students' Question. And then, In this study, we modified evaluation tests appropriately by criteria of evaluation and analysing the result.

• School Mathematics
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• v.10 no.2
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• pp.139-154
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• 2008

The primary purpose of this study was to investigate how sixth grade elementary school students react to the types of letters use, what levels of understanding letters students are in and what difficulties are in understanding letters, and to raise issues about instructional methods of algebra. A descriptive study through pencil-and- paper tests was conducted. The test instruments consisted of 18 questions with 6 types of letters use. According to the results of testing, students' types of letter use and the levels of understanding letters were classified. The conclusions from the results of this study were as follows: First, the higher the types of letters use, the more sixth grade elementary school students had low scores on the types. Therefore, teaching methodologies of letters and expressions in the classroom need to encourage for students to improve their ability of using and understanding letter. Second, approximately 40% of students were categorized in level 3. Accordingly it is necessary to have a program of teaching and learning to improve their understanding levels of letters. Third, approximately 15% of students were categorized in level 0. In order to develop understanding of letters, it is important that students use letter evaluated and letter used as an object. Fourth, students had the difficulties in understanding letters. It is informative for teachers to understand these students' difficulties and thinking processes. Finally, we must treat the different uses of letters and introduce them successively according to the student's understanding levels of letters.

• 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.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.353-366
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• 2014

Recently, the widespread usage of 3D-Printing has grown rapidly in popularity and development of a high level technology for 3D-Printing has become more necessary. Given these circumstances, effectively using mathematical knowledge is required. So, we have developed free web tools for 3D-Printing with Sage, for mathematical 3D modeling and have utilized them in college education, and everybody may access and utilize online anywhere at any time. In this paper, we introduce the development of our innovative 3D-Printing environment based on Calculus, Linear Algebra, which form the basis for mathematical modeling, and various 3D objects representing mathematical concept. By this process, our tools show the potential of solving real world problems using what students learn in university mathematics courses.