• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.577-589
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• 2023

The aim of the present paper is to study LP-Sasakian manifolds admitting *-Einstein soliton satisfying certain curvature conditions. Finally, we have constructed a 3-dimensional example of an LP-Sasakian manifold admitting *-Einstein soliton.

• Journal of Applied and Pure Mathematics
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• v.4 no.5_6
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• pp.317-329
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• 2022

In this paper we investigate the pair difference cordial labeling behaviour of m- copies of K₄, subdivision of star, fan, comb graphs.

• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.217-238
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• 2016

The purpose of the study is to analyze the influence of the accomplishing pressure of teachers and parents on academic achievement in mathematics in accordance with the differences in the degree of intrinsic motivation in mathematics. The accomplishing pressure of teachers was meaningful on the academic achievement in mathematics in the analysis including the interaction of intrinsic motivation in mathematics. The students with high degree of intrinsic motivation were influenced in a negative manner. Meanwhile the students with middle or low degree of intrinsic motivation were influenced in a positive manner. The result implies that it is more important to consider the level of mathematical intrinsic motivation, when teachers accomplish an achievement pressure to improve academic achievement in mathematics. On the analysis including the interaction of intrinsic motivation of mathematics, the accomplishing pressure of parents showed positive effect in general on the academic achievement in mathematics. The students with high or middle degree of intrinsic motivation were highly influenced in a positive manner than the students with low degree of intrinsic motivation. The result implies the necessity of the implementation of continuous accomplishing pressure on students as the high degree of accomplishing pressure of parents leads to positive influence on the academic achievement in mathematics.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.255-274
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• 2010

The main goal of this study is to provide a practical help to teachers who want to practice Problem-Based Learning in mathematics for establishing and realizing PBL environment. This study also produces mathematics PBL Learning Model and Criteria to Judge to help practice and to vitalize PBL in mathematics. To solve the research topics, I reviewed theoretical issues related to PBL, which became theoretical bases of this study. And then, from the theoretical background, items of criteria to judge mathematical problems in mathematics PBL are abstracted. And, through checking on content validity by experts, criteria to judge mathematical problems in mathematics PBL are completed. Also, based on previous PBL models, learning model in mathematics PBL that takes characteristics of mathematics into account is suggested through case studies by observing, a qualitative research method, on PBL study to materialize it. This research is expected to help teachers who want to practice PBL in mathematics.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.231-245
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• 2009

The purpose of this study is to develop a contents when we are going to introduce cryptography and information security for vocational high school students. For this we do a survey of the students' level for understanding of information security and the 7th curriculum for school mathematics, 2007 revised curriculum for school mathematics, the curriculum for vocational high school, and we search for the material that connects between mathematics subjects and vocational subjects. We develop a text book that introduces information security and cryptography. After we teach vocational high school students by using this developed book, we get the result that learning cryptography with computer programming makes a good motivation of learning mathematics and roles a parameter between mathematics curriculum and vocational curriculum. As a result we propose that the developed contents can be used in 'Practical Mathematics' in the 7th curriculum for school mathematics or 'Application of Mathematics' in 2007 revised curriculum for school mathematics.

• School Mathematics
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• v.15 no.4
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• pp.995-1013
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• 2013

The purpose of this paper was to investigate mathematics teachers' mathematical content knowledge about quadratic curves. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. 24 mathematics teachers were asked to perform 10 questions based on mathematics curriculum. The results showed that mathematics teachers had some difficulties in conic section definitions and eccentricity definitions of ellipse and hyperbola. And they also got difficulty in Dandellin sphere proof of the equivalence of conic section definitions and quadratic curve definitions. Especially, no one answered correctly to the question about the definition of eccentricity. The ratio of correct answer for the question about constructing tangent lines of quadratic curves is less than that for the question about the applications of the properties of tangent lines. These findings suggests that it is needed that to provide plenty of opportunities to learn mathematical content knowledge in teacher education programs.

• Journal of Elementary Mathematics Education in Korea
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• v.6 no.1
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• pp.1-21
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• 2002

Teachers' teaching behavior is directly influenced by teachers' belief, and students' belief system is directly influenced by teachers' teaching behavior. There has been a question whether curriculum of teacher training university could help preservice teachers form positive belief system. The purpose of this study was to address this issue empirically. First, a questionnaire about mathematical belief was given to freshmen preservice teachers. They generally showed positive belief about mathematics to the degree that is not satisfactory and responded most positively in the sub-area of teaching mathematics from three sub-areas of mathematics itself, studying mathematics, and teaching mathematics. After studying a mathematical philosophy course, the freshmen preservice teachers were given the same questionnaire that they responded before studying the course. Belief about mathematics itself was changed very positively, and increase in the sub-area of mathematics itself was the largest. These results show that the mathematical philosophy course helped preservice teachers form positive belief system in mathematics.

• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.221-247
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• 2008

In order to find the structure and scheme of basic mathematics education in life and nano-related areas in university, I've studied how much the freshmen in those fields in the university know about the graphic expressions for the basic functions(quadratic function, rational function, irrational function, log function and trigonometric function), basic information contained in those graphs and basic high school mathematics. Also, I've examined mathematics used in books for majors related to those areas. The result of the study shows that there is a lack of understanding of the graphic expressions for basic functions, information contained in those graphs and basic high school mathematics. I've also found out that there is a difference in the amount and depth of mathematics used in each major in life and nano-related areas. According to the result of this study, the amount of understanding of freshmen with each major in basic high school mathematics needs to be reflected in structuring basic mathematics education in life and nano-related areas in university, and the amount and dept of content of mathematics should be considered in each major.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.89-109
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• 2020

This study aims to improve teacher education by analyzing the causes and backgrounds of which pre-service mathematics teachers experience learning difficulties on the topic of discrete mathematics. To this end, we conducted a questionnaire and an evaluation on the topic of discrete mathematics, and the obtained data were analyzed. The results show that (1) pre-service mathematics teachers need to share their perceptions of the need for discrete mathematics education; (2) a review of the adequacy of the discrete mathematical content and its credits are required; (3) the causes of their learning difficulties need to be looked at from a different perspective than the learning factors. And two implications were obtained. First, it is necessary to study the systematicity and sequence of content elements of discrete mathematics in the aspect of its continuity of curriculum of secondary school and university. Second, it is required consideration for adjusting the ratio of discrete mathematics to secondary teachers' employment examination.

• Journal of the Korean School Mathematics Society
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• v.2 no.1
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• pp.219-229
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• 1999

Nowadays the use of computer has a tendency to be being increased in classroom. Also, Many mathematics teachers are attempting to use computer efficiently in classroom. Computer has unique functions such as graphic, animation, and error correction. As graphic and animation can make the content of mathematics visible and make it easy for learners to study mathematics, it is desirable to develop the computer educational program and use it in teaching and learning mathematics. Especially, before concepts study on the unit of Figure or Function, the use of graphic or animation is efficient by being able to understand easily the content. The purpose of this thesis is to produce the computer program on the Movement of Figure in the unit of Equation of Figure which is in mathematics curriculum for the first grade of high school. In teaching and learning mathematics by use of this program, the educational effects are expected as follows: 1. It is expected that this program will stimulate the interest of learners by using animation and acoustic (sound) effect and so learners' voluntary and active thinking activity will be shown. 2. It will be helpful to form exact concept because it is possible to understand intuitively the basic concepts on the Movement of Figure by using graphic and animation. 3. It is expected that the repeated study of this program already designed will remove the fear of incomplete parts and help review them. 4. It is possible to change from teacher-centered instruction, which is the blind point of recent mathematics education, to the learner-centered instruction. However, it is necessary to realize that using the educational engineering (computer) in mathematics education cannot always cause learners to study mathematics very well and that computer cannot take the place of mathematics teacher. Accordingly, computer will be treated as aids which help learners study difficult part.