• School Mathematics
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• v.2 no.1
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• pp.145-164
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• 2000

The purpose of this study is to investigate the effect of NIE instruction in learning mathematics. There are two groups. The one group is an experimental group which is assigned to use NIE in learning mathematics for 10 weeks. The other group is a controlled group which is received only ordinary teaching methods. The results of this study are as follows. 1. There is no significant difference in learning achievement between the experimental group and the controlled group in significant level 0.05. 2. There are some difference in mathematical disposition between two groups. That is, the students of experimental group learned NIE are not changed in mathematical disposition. However, the other group takes on negative attitude in a mathematical disposition. Considering that as the students go up higher grade, their mathematical disposition become negative, using NIE in mathematics education is valuable to prevent the negative disposition to the mathematics. 3. There are some difference between two groups in the open-ended problem test in significant level 0.05. Although using NIE has little effects in the ordinary test methods, NIE has some effects in the test which require communication ability.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.513-532
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• 2015

In order to suggest desirable management of college mathematics for freshmen in middle level engineering college, we analyse the change of mathematics recognition between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In A university, 2011 year and 2015 year engineering freshmen were taken basic mathematical ability test and given the survey for the recognition of mathematics and college mathematics. Research results are as follows: First of all, middle level engineering freshmen were poor at basic mathematical ability. The change of mathematics recognition appeared in the level of mathematics ability and the effort for college mathematics class. Moreover middle level engineering freshmen recognize college mathematics as a basic subject for engineering and hope teacher-directed learning in college mathematics class. For the success of college mathematics in engineering college, this study suggests basic mathematical ability test and the survey for the recognition of mathematics and college mathematics. We also suggest that college mathematics class must be focused on basic mathematical ability improvement and self-directed learning.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.1175-1176
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• 1993

This paper introduces a new model for forecasting groundwater level on the basis of analysing defect of finite element method. The new model is built with fuzzy sets and neural networks. It is convenient for use. We computed the groundwater level of one city in P. R. China with it and got a very satisfactory result. It can be popularized to corecast groundwater level of mine.

• East Asian mathematical journal
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• v.38 no.2
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• pp.143-164
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• 2022

Computer technology in mathematics teaching-learning is not for teaching computer but for improving mathematics teaching-learning with computer. It is shown the use of computer technology comparing with traditional approach provides students more opportunities in order to approach abstract structure. Computer activity provides not only understanding concepts of analysis and opportunity to investigate theory but also effective background in teaching analysis. We analyze students' computer usage level on analysis education by using computer usage level according to role of computer technology. We try to get an useful educational implication on analysis education applying MATLAB through qualitative research.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.4
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• pp.663-686
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• 2017

The purpose of this study was to identify the effects of convergent approach of mathematics education on students' problem-solving ability and self-efficacy by designing and applying mathematics curriculum based on STEAM. The results are as follows. First, the test results between the two groups did not show any statistically significant difference in terms of problem solving ability, but the experimental group showed a higher average score than the comparative group. Compared with the standard deviation of the experimental group, It can be seen that the level of difference between students is great. This suggests that STEAM-based mathematics lessons have a positive effect on the problem solving ability of low-level students. Second, the results of the self-efficacy t-test of STEAM-based mathematics class showed statistically significant results at a 5% significance level. In the sub-domain, the preference for the difficulty of the mathematics task, except math self-confidence and the math self-regulation efficacy, were statistically significant at a 5% significance level. This study shows that STEAM-based mathematics classes have a positive effect on the students' positive aspects. Through the STEAM program, students learn that mathematics is connected with other fields, and it provides an opportunity to explore on their own, and they more became interested, motivated, and achievement. Also, through the results of the STEAM-based mathematics class, it can be seen that the expressive power and self-confidence are increased by using the non-formal representation outside of the existing formal representation center. The result of this study can be summarized as follows: A STEAM-based mathematics class has a positive effect on problem solving ability and self-efficacy. Therefore, it is interpreted that the application of the STEAM program focusing on mathematics accounts for education effectives.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.1-21
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• 2019

Mathematics is one of the subjects in which learners seriously experience under-achievements in school education. Middle school level mathematics especially plays such a role as a bridge between elementary level informal mathematics and high school level formal mathematics that learners' under-achievements in the middle school level mathematics may yield more serious under-achievements later. Therefore it is crucial to prevent learners' later under-achievements that we analyze the status of under achievements including analysing various under-achievers' errors in the middle school level mathematics. From this point of view, we analysed errors of mathematics under-achievers in understanding the concept of the square root of positive numbers and related calculations in this paper. As the results of our research, we found some unexpected errors of 'some mathematics under-achievers regarding the mathematical symbol ${\surd}$ of square root as a parenthesis ( ), and others interpret $x=-2{\pm}{\sqrt{10}}$ as x=-2 or ${\pm}{\sqrt{10}}$.' that suggest the necessity of more various and in-depth discussions and researches of analysis on learners' errors and misconceptions in all areas of school mathematics.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.483-500
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• 2019

This study compared and analyzed the van Hiele levels of geometry contents in middle school mathematics textbooks and those of students' thinking. As the mathematics curriculum was revised recently, the amount of contents in the geometry area were reduced, but the van Hiele level did not change much, and the gap between the van Hiele level of geometric contents presented in the textbooks and the level of students' geometric thinking still remained unchaged. The van Hiele levels of the geometric contents in the textbooks were distributed in the levels of 1, 2, 3 in the first grade, and 2, 3, 4 in the second and third grade. In the case of the first grade, 69% of the students were less than or equal to level 2, and 73.7% and 47.6% of the students in the second and third grades were less than or equal to level 3, respectively. Especially, in the case of the second and third grade, the ratio of the 4th level of the contents presented in the textbook is higher than the problem, which can cause difficulties for the students.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.353-371
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• 2013

The purpose of this study is to investigate preservice secondary teachers' understanding and modification capacity of tasks from mathematics textbooks. This study conducted a survey about how preservice teachers understand the features of mathematical tasks and how they would select and modify tasks appropriately from the curriculum and for lesson goals. The findings from the analysis suggest that the preservice teachers seem to recognize Procedures Without Connections tasks as the high-level tasks. Further, 43 percent of the total numbers appropriately selected the tasks from the curriculum and for lesson goals. Most of the preservice teachers appear to find it difficult to modify low-level tasks into high-level tasks.

• Communications of Mathematical Education
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• v.22 no.2
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• pp.165-185
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• 2008

In this paper we analyze various programs of our and other countries related with university-level program in mathematics. We develop two university-level programs 'Calculus I 'and 'Calculus II'. In detail we describe course of study, educational objectives of these programs.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.13 no.4
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• pp.315-321
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• 2009

In this paper, a level set based energy functional is proposed, the minimization of which results in simultaneous reference background image modeling and foreground segmentation. Due to the mutual constraint of the two processes, a good estimate of the background can be obtained with a small number of frames, and due to the use of the level set, an Euler-Lagrange equation that directly solves the problem can be derived.