• Journal of applied mathematics & informatics
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• v.27 no.1_2
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• pp.69-78
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• 2009

The accuracy of wavelet approximation at resolution h = $2^{-k}$ to a smooth function f is limited by O($h^M$), where M is the number of vanishing moments of the mother wavelet ${\psi}$; that is, the approximation order of wavelet approximation is M - 1. High accuracy points of wavelet approximation are of interest in some applications such as signal processing and numerical approximation. In this paper, we prove the scaling and translating properties of high accuracy points of wavelet approximation. To illustrate the results in this paper, we also present two examples of high accuracy points of wavelet approximation.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.423-439
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• 2015

This study examines the relationship between prior learning experience, the high school records, mathematics grade in the KSAT(Korean Scholastic Aptitude Test) and mathematics achievement, GPA(grade point average) of college freshmen. It analyses how much mathematics capacities in the time of high school affect mathematics achievement of college freshmen. This study surveyed 193 freshmen, attending in a college of science and engineering, taking the 'basic differential and integral calculus' lecture, which was opened for the first semester of 2014 in the A university. The data processing was fulfilled by means of technical statistics, correlation analysis, difference test, ANOVA, ex post facto test, and regression analysis. The outcomes of this survey are followings: Firstly, over 90 percent of college freshmen underwent prior learning of mathematics when they attended high school. Secondly, their perception of effectiveness for prior learning is founded to be meaningfully lower than their perception of its needfulness. Thirdly, while there is higher positive correlation between mathematics achievement and GPA in the college, there is little correlation between high school records and GPA in the college. Also, there is little correlation between mathematics grade in the KSAT and mathematics achievement in the college. Fourthly, the accomplishments in the high school(The high school records, mathematics grade in the KSAT) and the efforts, satisfaction, necessity, etc. for prior learning had little effect on academic achievement in college mathematics. Based on these results, this study makes some suggestions for developing academical achievement in college mathematics.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.637-654
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• 2013

This study aims to suggest a Guide-Line for Assessment Items Development in Middle and High School Mathematics that was included in the plan for advancement of mathematics education(2012). Consequently, we categorized a Guide-Line for Assessment Items Development as three process: 'Lesson content analysis process', 'Assessment items making process', 'Assessment items completed process'. This study will contribute to improve teacher's assessment professionalism and can be used as self-diagnosis tools.

• School Mathematics
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• v.15 no.4
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• pp.801-818
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• 2013

The purpose of this study is to investigate the relation between major subjects of industrial circle high school and mathematics matched with present 2007 revision curriculum. We compare and analyze learning contents in industrial circle's math education via various aspects including methods of explanations, contents domains, and contents levels. The analysis followed by the research study performed with literature study of curriculums and text books. Our research indicates that school curriculum should be reflected relation between industrial high school's each major course and mathematics, so each major course curriculum should be different. Many contents beyond high school mathematics were founded. Hence suitable mathematical maturity and levels within standard high school math curriculum should be considered when one make text books of major course in industrial circle high school.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.283-300
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• 2010

It has been recognized for a long time that high school students have difficulty in properly interpreting the form $0^0$. The treatment of $0^0$ was still a subject of a slight controversy among mathematicians until relatively recently. Since the mathematics curriculum in high school does not provide the definite treatment of $0^0$, some students might be inclined to ask what the value of the form is. In this research, we review materials dealing with $0^0$ and analyze historically and mathematically the form, whose true meaning is an indeterminate form. We identify the reality of the mathematics education in high school by conducting simple surveys targeting some high school teachers and the students who graduated from high schools recently. Then we discuss, for teachers and pre-service teachers, how to teach the form $0^0$ in high school mathematics.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.481-498
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• 2014

This study analyzed Japan, Taiwan, Hongkong, Finland, and China National Mathematics Curriculums to find the implications to improve Korean High school Mathematics curriculum. First, at the aspect of mathematics education goals, we can consider to select the logical thinking, the use of mathematics, and the mathematical inquiry in the cognitive domain and self-confidence, brevity, a sense of accomplishment, and the value of mathematics in the affective domain. Second, when high students consider their course, he/she should be able to select mathematics subjects according to her/his desired career and/or major. Third, I found that sine rule, cosine rule and correlation were included as compulsory contents of Japan, Taiwan and China but not Korea. Finally I suggest that we need to show and explain kindly the range of the contents and to develop the Korean mathematics curriculum model.

• Communications of Mathematical Education
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• v.12
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• pp.363-376
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• 2001

To educate students to adjust and lead their future society oriented on technologies and information communications, most of the countries in the world try to reform their traditional mathematics education. Contemporary Mathematics in Context (CMIC) developed by Core-Plus Mathematics Project in WMU has been developed in order to assist school districts in reforming their high schools mathematics programs in the United States, and $7^{th}$ Korean National Mathematics Curriculum was developed to guide reforming Korean mathematics program in 1997. In this presentation, by analyzing essential differences between the two curricula according to Korean Mathematics Curriculum, we may find some implications of CMIC for Korean mathematics education.

• East Asian mathematical journal
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• v.35 no.4
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• pp.365-386
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• 2019

This study was based on the analysis of changes in curriculum of elementary mathematics curriculum, and changes in curriculum of middle school and high school mathematics curriculum. The purpose of this study is to analyze the movement of learning contents among the school levels based on the middle school mathematics curriculum and to summarize the influence on the curriculum of middle school mathematics according to the movement of learning contents. The research conducted according to the purpose of this study is as follows. First, we analyzed the trends of mathematical contents between elementary and middle schools after the movement of ten mathematics curriculums. Second, we analyzed trends of learning factors after mobility and mobility between middle school and high school. Third, the characteristics of 'the contents of mutual movement based on middle school' and 'the contents deleted from middle school' were analyzed. The results of this study are expected to reflect on current and past curriculum and to give meaningful implications to the composition of new curriculum.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.19 no.1
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• pp.47-56
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• 2015

In this paper, we present an implicit method for reconstructing a 3D solid model from two 2D cross section images. The proposed method is based on the Cahn-Hilliard model for the image inpainting. Image inpainting is the process of reconstructing lost parts of images based on information from neighboring areas. We treat the empty region between the two cross sections as inpainting region and use two cross sections as neighboring information. We initialize the empty region by the linear interpolation. We perform numerical experiments demonstrating that our proposed method can generate a smooth 3D solid model from two cross section data.

• East Asian mathematical journal
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• v.26 no.2
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• pp.233-249
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• 2010

It seems that it is critical to comprehend mathematics as a tool subject in order to understand a number of calculations in the professional subjects in the vocational high schools. This study is designed to determine "how much mathematics is connected to specialized subjects in terms of mathematical content at vocational high schools". To investigate the research questions, this study examined the connections between the mathematical topics included in professional subjects and those of mathematics subjects in the vocational high school. In the end, this study suggest that is should be necessary to make new mathematics textbook which reflects the reality and needs of the present vocational high school students.