• Journal of Applied and Pure Mathematics
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• v.5 no.3_4
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• pp.223-236
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• 2023

In the present paper, we investigate the subordination and superordination implications for a class of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also presented. Further, we extend some results given earlier as special cases of the main results presented here.

• Journal for History of Mathematics
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• v.20 no.1
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• pp.83-102
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• 2007

A math class in Korean university was taught in English for one semester and the students' improvement was measured in math content and English proficiency. Pre and post test in 9 week intervals showed that math content loaming in the immersion class was superior to the non-immersed class. Especially, the immersion class showed remarkable improvement in difficult problems among math content test problems. The immersion class improved in math-related English, but not in general English. It is discussed that the particular English expressions for math are hardly separable from the math content knowledge in English because understanding and using those expressions correctly means the students' understanding of math concept in English and thus the math concept itself.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.69-82
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• 2000

Mathematics is the subject that requires high mental function such as the ability of logically thinking and investigating. Because of the reason there exists much greater difference in students' individual scholastic abilities in mathematics class than in other classes. Recently many schools organize students into two or three level-based mathematics classes according to each student's level to solve the problem. But in spite of its many merits the new system of class organization has some problems. The problem which is pointed out as the most serious thing frequently is that many teachers still use the same textbook and the same teaching method for all students, not considering student's level. Obviously it causes the reduction of students' interest and motivation. In this point of view, I tried to solve such a problem by development and application of level learning materials reconstructed text book according to students' abilities and levels through this research. As the result of the research to examine the changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics has occurred, the following conclusion comes out. 1. Through the mathematics class utilizing level learning materials reconstructed textbook, students come to recognize that level learning materials are more effective than uniformed contents of the same textbook and get more active learning attitude. 2 The application of level learning materials in a level-based class has contributed to increasing students' interest in mathematics. Furthermore it was also effective in the positive changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.197-206
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• 1999

This paper propose the new teaching method in performance evaluation using the history of mathematics. This idea encourages students in self-guided learning at highschool mathematics class.

• 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 Educational Research in Mathematics
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• v.24 no.1
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• pp.29-44
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• 2014

The newly revised mathematics curriculum in 2009 mentioned the mathematics specified classroom. All schools in the secondary school will implement Mathmatics Subject Class System by 2014. Expecing to extend the mathematics specified classroom to the elementary school, this study explores the direction how to configurate and use it. On the ground of previous research on mathematics laboratory and mathematics subject class system, this study makes questionnaire and survey recognition and opinions about mathematics room in the elementary school with elementary school teachers. Based on the result of analysis of questionnaire, this study suggests math cultural experience room, room for mathematical recreation, mathematics specified classroom as the main functions of elementary mathematics room, and utilization of mathematics room to perform such functions. This study provides suggestions about elementary mathematics room differentiated from mathematics subject class system in the secondary school.

• Communications of the Korean Mathematical Society
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• v.12 no.4
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• pp.881-893
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• 1997

E. M. Silvia introduced the class $S^\lambda_\alpha$ of $\alpha$-spirallike functions f(z) satisfying the condition $$ (A) Re[(e^{i\lambda} - \alpha) \frac{zf'(z)}{f(z)} + \alpha \frac{(zf'(z))'}{f'(z)}] > 0, $$ where $\alpha \geq 0, $\mid$\lambda$\mid$ < \frac{\pi}{2}$ and $$\mid$z$\mid$ < 1$. We will generalize Silvia class of functions by formally replacing f(z) in the denominator of (A) by a spirallike function g(z). We denote the new class of functions by $Y(\alpha,\lambda)$. In this note we obtain some results for the class $Y(\alpha,\lambda)$ including integral representation formula, relations between our class $Y(\alpha,\lambda)$ and Ziegler class $Z_\lambda$, the radius of convexity problem, a few coefficient estimates and a covering theorem for the class $Y(\alpha,\lambda)$.

• Research in Mathematical Education
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• v.17 no.1
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• pp.63-78
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• 2013

Trigonometric ratios are difficult concepts to teach and learn in middle school. One of the reasons is that the mathematical terms (sine, cosine, tangent) don't convey the idea literally. This paper deals with the understanding of a concept from the learner's standpoint, and searches the orientation of teaching that make students to have full understanding of trigonometric ratios. Such full understanding contains at least five constructs as follows: skill-algorithm, property-proof, use-application, representation-metaphor, history-culture understanding [Usiskin, Z. (2012). What does it mean to understand some mathematics? In: Proceedings of ICME12, COEX, Seoul Korea; July 8-15,2012 (pp. 502-521). Seoul, Korea: ICME-12]. Despite multi-aspects of understanding, especially, the history-culture aspect is not yet a part of the mathematics class on the trigonometric ratios. In this respect this study investigated the effect of history approach on students' understanding when the history approach focused on the mathematical terms is used to teach the concept of trigonometric ratios in Grade 9 mathematics class. As results, the experimental group obtained help in more full understanding on the trigonometric ratios through such teaching than the control group. This implies that the historical derivation of mathematical terms as well as the context of mathematical concepts should be dealt in the math class for the more full understanding of some mathematical concepts.

• Journal of Educational Research in Mathematics
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• v.21 no.1
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• pp.87-103
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• 2011

The purpose of this paper is to investigate the effects on academic achievement for university basic mathematics in order to improve the problem-solving abilities of low achievement students in university general mathematics. In this paper, we suggest effective management strategies and teaching-learning methods according to level-based classes with utilizing scholastic level assessment, students survey, Mathematics Cafe and tutorial program, and also managing demonstration classes which are using Webwork system for assignments and evaluating the class.

• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.363-384
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• 2006

In general, teachers have opened a specially supplementary course for the underachivers in mathematics. But because of a lot of problems, the class has not been activated. So in this paper, for the purpose of maximizing the effect of the class, we introduce mathematical games and puzzles in the class for causing the students' interest in mathematics and adopt multi-step test, which is a test with multi level problems in a problem, for both selecting the underachivers in mathematics and supplementing learning deficiency. As a result of the process, the atmosphere of learning is positive and learning activities are voluntary and the altitude to the mathematics is improved.