• Journal of Educational Research in Mathematics
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• v.10 no.1
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• pp.139-159
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• 2000

The experimental software such as Cabri II, The Geometer's Sketchpad, etc. provides dynamic environment which construct and explore geometric objects interactively and inductively. It has the effects on mathematics itself differently from other technologies that are used in instruction. What is its characteristics\ulcorner What are the educational implication of it for the learning of geometry\ulcorner How is mental reasoning of geometric problems changed by transformation of the means of representation and the environment to manipulate them\ulcorner In this study, we answer these questions through the review of the related literatures and the analysis of textbooks, teaching materials using it and curricular materials. Also, we identify implications about how the criteria for choosing geometic content and the ways of constructing context, for orchestrating the students' exploration with the secondary geometry curriculum, can be changed.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.19-35
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• 2014

In this study, an experimental elementary school mathematics textbooks in use in the effects of the storytelling investigated. For this purpose, three different elementary schools teachers and students to a group of grades 3-4 mathematics textbooks for the effects of the storytelling questionnaire study. Survey, teachers were given an overall rating of storytelling in mathematics textbooks were positive recognition. Specifically, learning motivation and communication have significant positive recognition and learning of mathematics content that was helpful. The students are given an overall rating of storytelling textbooks showed a positive reaction. Grade 3 students were more positive than the four-year students. More specifically, mathematics is interesting storytelling. That public education was more fun than private supplementary education. But for storytelling low-level math students need measures showed insignificant changes.

• 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 applied mathematics & informatics
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• v.4 no.1
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• pp.63-82
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• 1997

In experimental situations where n two or three level fac-tors are involoved and n observations are taken then the D-optimal first order saturated design is an $n{\times}n$ matrix with elements $\pm$1 or 0, $\pm$1, with the maximum determinant. Cononical forms are useful for the specification of the non-isomorphic D-optimal designs. In this paper we study canonical forms such as the Smith normal form the first sec-ond and the jordan canonical form of D-optimal designs. Numerical algorithms for the computation of these forms are described and some numerical examples are also given.

• Journal of the Korean Mathematical Society
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• v.51 no.2
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• pp.289-309
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• 2014

A combinatorial description of the crystal $\mathcal{B}({\infty})$ for finite-dimensional simple Lie algebras in terms of certain Young tableaux was developed by J. Hong and H. Lee. We establish an explicit bijection between these Young tableaux and canonical bases indexed by Lusztig's parametrization, and obtain a combinatorial rule for expressing the Gindikin-Karpelevich formula as a sum over the set of Young tableaux.

• Journal of the Korean School Mathematics Society
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• v.3 no.1
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• pp.117-129
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• 2000

The purpose of this research consists in understanding how the effects of Teaching Method by Questions on the achievement ability of math study and learning attitude are in the aspect of teaching and learning procedure, compared with those of the traditional teaching way. To attain the purpose, the research questions have been set up as follows: ［Research Question 1］ How to make a teaching plan of effective Learning by Questions\ulcorner ［Research Question 2］ Can Learning by Questions bring about a meaningful difference between two groups (experimental group and comparative group) in the aspect of the achievement ability of math study\ulcorner ［Research Question 3］ Can Learning by Questions change the Learning attitude of the students positively\ulcorner The outcome is as follows: First, it shows that the experimental group with Learning by Questions have marked more significant difference than the comparative group in the aspect of the achievement ability of math study. That is, Learning by Questions has a positive effect on the achievement ability of math study. Second, the experimental group with Learning by Questions have brought about more positive learning attitude than the comparative group without Learning by Questions.

• School Mathematics
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• v.2 no.2
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• pp.475-487
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• 2000

As a result of carrying out t-test against the learning activity that used the learning materials designed by level, significant disparity was found. Thus, it was found that hte effect of this learning activity became more visible with lapse of time. But the major cause by which there appeared small significant disparity as a result of testing is that the units of experiment were limited and that the period of using the learning materials was not long. In an analysis on the results of interest test, the experimental class also appeared to show the average score that was higher than that of the comparative class by 0.10 after converting a decimal point. The outcome of attitude test was that the experimental class showed a higher average score by 0.11, as a result of converting a decimal point, than that of the comparative class. So, a large number of students showed an improved reaction. But, there seemed some problems of the learning materials or the method of progressing the activity in changing under achievement students or students who avoided studying math. When the effect of the level-based learning activity was investigated, more than 80% of the experimental class’s students showed a positive reaction. Thus, it could be judged that students, who felt some burden at studying math, might be served more largely, not by teacher’s uniform instruction, but by an individual learning using the level-based learning materials that enabled them to do a systematic self-learning for themselves.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.163-184
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• 2010

In this paper, we study the effects on mathematical communication and disposition for the writing mathematics letters in secondary mathematics education. For this purpose we construct a experimental class and then analyse the students' change in those aspects after applying writing mathematics letters made some significant changes on the students communication in mathematics and disposition. First. the results for this purpose on regarding the enhancement of mathematical communication are effective. Second, the results on regarding the improvement of disposition are effective.

• East Asian mathematical journal
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• v.36 no.4
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• pp.475-492
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• 2020

This study is to establish the items on class critiques based on the mathematical competencies according to the mathematics curriculum revised in 2015. Namely, this study deals with the items on how pre-service or in-service teachers understand and comment on mathematics instruction on their own instruction or peers' instruction. To accomplish this, first of all the draft items on instructional reviews was developed by researchers of this study on the basis of the previous study(Hwang, 2018). In order to revise and develop the draft items, the experimental study was executed. The experimental study was done by the subject of 11 groups who are undergraduate students in the educational college of C University. The subject was supposed to watch an in-service middle school mathematics teacher's excellent instruction(study) video and to comment the instruction video on the draft items on class critiques. While analyzing the comments of the subject, the revised items on the class critiques were to be develop. Based on this study, from now on, the final and ideal items on the class critiques would be establish to reflect and comment teachers' instruction.

• Advances in nano research
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• v.12 no.4
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• pp.365-374
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• 2022

Intermediate filaments are the mechanical ropes for both cytoskeleton and nucleoskeleton of the cell which provide tensile force to these skeletons. In providing the mechanical support to the cell, they are likely to buckle. We used conventional Euler buckling model to find the critical buckling force under different boundary conditions which they assume during different functions. However, there are many experimental and theoretical studies about other cytoskeleton components which demonstrate that due to mechanical coupling with the surrounding surface, the critical buckling force increases considerably. Motivated with these results, we also investigated the influence of surface effects on the critical buckling force of intermediate filaments. The surface effects become profound because of increasing ratio of surface area of intermediate filaments to bulk at nano-scale. The model has been solved analytically to obtain relations for the critical forces for the buckling of intermediate filaments without and with surface effects. We found that critical buckling force with surface effects increases to a large extent due to mechanical coupling of intermediate filaments with the surrounding surface. Our study may be useful to develop a unified experimental protocol to characterize the physical properties of Intermediate filaments and may be helpful in understanding many biological phenomenon involving intermediate filaments.