• Journal of the Korean School Mathematics Society
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• v.9 no.2
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• pp.179-193
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• 2006

The aim of this paper is to explore and understand, using in-depth interviews, the participant's enthusiasm for and involvement in studying mathematics and the deeper nature of his/her interest in mathematics teaching. In addition a larger aim is to understand how the individual's interest in mathematics and teaching are linked to his/her larger personal fulfillment. We conducted in-depth interviews with 4 pre-service teachers' subjective experiences focusing on deep motivation, pedagogical content knowledge, inner vision. Interviews focus much more on the participant's spontaneous feeling, consciousness, and state as these arise in the interview, and on past foiling, consciousness and state as they appear to the participant subjectively retrospectively in his/her memory. The output of this research consists of 2 portraits out of 4 individual participants, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the subject area affects their motivation, inner visions and academic efforts toward becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the two cases. Several suggestions were put at the end to enhance mathematics education concerning curriculum development.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.167-191
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• 2014

In this study, we investigate the term-sets of 'base' or 'bottom': 'the bottom side of a polygon' and 'the base side (of a geometrical figure)'. And we study the concept of 'the base area' in the solid figures and the formula of 'the bottom dimensions'. We start from the 6th grade math problem: 'Find the bottom dimension of the rectangular.' The primary answer is that it does not use the term('the bottom dimensions') in the elementary mathematics. However, in the middle school mathematics, 'the base area' is used as means of 'the area of one bottom side', which is not explained anywhere from the elementary mathematics to middle school mathematics. In addition, the base is defined and 'the surface area' and 'the side area' is taught in the elementary mathematics, so we naturally think of 'the base area'. Therefore we first investigate the term-sets of 'base' or 'bottom' which has two elements: 'the bottom side of a polygon' and 'the base side (of a geometrical figure)'. Next we discuss 'the base area' through curriculum and textbooks, dictionary definitions and so on. In addition, we survey pre-service teachers and teachers about the solid figures and analyse the understanding of 'the base side' and 'the base area' comparatively. In particular, we compare the changes and the tendency of correct answers from the first question to the last question. As a result, we verify 'the cognitive gap' between the elementary mathematics and the middle school mathematics, we suggest the teaching of 'the base area' and succession subjects to teach figure domain in the elementary mathematics.

• Journal of Gifted/Talented Education
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• v.15 no.1
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• pp.1-10
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• 2005

Overexcitaility (OE) as a concept that is related to developmental potential, has been shown to differ by intelligence, gender, involvement in school programs and artistic interest in American populations of students. Overexitability, used to describe the five ways that people might experience developmental potential for emotional growth, are emotional, intellectual, imaginational, sensual, and psychomotor. Little is known about the profiles of groups of gifted learners outside of studies conducted in the United States. In order to better understand the emotional needs of Korean students, the purpose of this study was to determine the overexcitability profiles of students enrolled in four high schools, each with a different domain focus: math and sciences, visual and performing arts, and foreign languages. 341 subjects of this study completed the Overexcitability Questionnaire II. Multivariate Analysis of Variance (MANOVA) was conducted to determine statistical differences. The results showed that Mean scores of psychomotor, sensual and imaginational are highest in the Art High School, intellectual is highest in the Science High School and emotional is highest in the Foreign Language High School. There were significant differences among the schools. Each major also showed significant difference. The results showed that mean score of psychomotor is highest in the Dance major, sensual, imaginational and emotional are highest in the Drama majore and intellectual is highest in the Science major. The results showed that the mean scores of psychomotor, imaginational and intellectual are higher in the male students than female students. On the other hand the mean scores of sensual and emotional are higher in the female students than in the male students.

• Journal of Gifted/Talented Education
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• v.25 no.6
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• pp.881-904
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• 2015

The purpose of this paper is to explore the future direction of research on gifted education through a literature review of dissertations and research reports, as well as an analysis of the trends and milestones achieved related to gifted education. The period from 2003 to 2012, from which the data for this literature review was collected, marks the ten-year period proposed by the Gifted Education Development Comprehensive Plan II and I. Data was collected through a search of the keyword "gifted" on Academic Naver and on Korea Education and Research Information Service (KERIS). Results showed 1,696 articles from 182 academic journals, 138 doctoral dissertations, 1,470 masters' dissertations, and 798 research reports from 75 institutions. For analysis, each article was classified by target of study, kind of giftedness, subject of study, and methods used for the study. Results from this literature review demonstrated that from 2003 to 2012, the articles from the 182 academic journals and the doctoral and masters' dissertations used quantitative research to analyze elementary and middle school students gifted in math and science as well as the curriculum and programs of their study. This paper provides recommendations for future research on gifted education within the country.

• The Journal of the Korea institute of electronic communication sciences
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• v.13 no.4
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• pp.819-826
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• 2018

The generalized Hamming weight is one of the important parameters of the linear code. It determines the performance of the code when the linear codes are applied to a cryptographic system. In addition, when the block code is decoded by soft decision using the lattice diagram, it becomes a measure for evaluating the state complexity required for the implementation. In particular, a bit-parallel multiplier on finite fields based on trinomials have been studied. Cellular automata(CA) has superior randomness over LFSR due to its ability to update its state simultaneously by local interaction. In this paper, we deal with the efficient synthesis of the pseudo random number generator, which is one of the important factors in the design of effective cryptosystem. We analyze the property of the characteristic polynomial of the simple 90/150 transition rule block, and propose a synthesis algorithm of the reversible 90/150 CA corresponding to the trinomials $x^2^n+x^{2^n-1}+1$($n{\geq}2$) and the 90/150 reversible CA(RCA) corresponding to the maximum weight polynomial with $2^n$ degree by using this rule block.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.607-633
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• 2016

Teachers and students tend to perceive mathematics irrelevant with character education. Since there has been no teaching of cross-curriculum characters education in mathematics classrooms, this research was to look for the possibility of teaching the character education in mathematics. Through the pilot study, trying to rebuild character factors based on Moon, et al,(2011), the researcher applied them to developing 8 lesson plans and carried them to 12th graders of the high school in March and April, 2014 using pre and post tests. Based on statistically significant difference with the level of p<.05, in "relation with me", for 'appointment' in the pretest, the students of natural science(SNS) exceeded, but in the posttest the students of humanities(SH) exceeded. In "relation with the other", in the posttest, for 'forgiveness' and 'responsibility' SNS, but for 'ownership' SH exceeded. In 'relation with a group' in the pretest for 'community spirit' SNS, and in the posttest SH exceeded. In the pretest in this study SNS naturally perceived the value of character education in math classes since they were closer to mathematics but after the experience through character education with cross-curriculum factors, SH perceived its importance expecially 'appointment', 'ownership', and 'community spirit' more than SNS so that we could predict the possibility of teaching cross-curriculum character factors in mathematics even after they had preconception as a high school student.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.373-388
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• 2013

This paper is to investigate how two elementary school teacher's belief mathematics as educational content, and teaching and learning mathematics as a part of educational methodology, and what the two teachers believe towards gifted children and their education, and what the classes demonstrate and its effects on the sociomathematical norms. To investigate this matter, the study has been conducted with two teachers who have long years of experience in teaching gifted children, but fall into different belief categories. The results of the study show that teacher A falls into the following category: the essentiality of mathematics as 'traditional', teaching mathematics as 'blended', and learning mathematics as 'traditional'. In addition, teacher A views mathematically gifted children as autonomous researchers with low achievement and believes that the teacher is a learning assistant. On the other hand, teacher B falls into the following category: the essentiality of mathematics as 'non-traditional', teaching mathematics as 'non-traditional, and learning mathematics as 'non-traditional.' Also, teacher B views mathematically gifted children as autonomous researchers with high achievement and believes that the teacher is a learning guide. In the teacher A's class for gifted elementary school students, problem solving rule and the answers were considered as important factors and sociomathematical norms that valued difficult arithmetic operation were demonstrated However, in the teacher B's class for gifted elementary school students, sociomathematical norms that valued the process of problem solving, mathematical explanations and justification more than the answers were demonstrated. Based on the results, the implications regarding the education of mathematically gifted students were investigated.

• Journal of Gifted/Talented Education
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• v.10 no.2
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• pp.47-69
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• 2000

One of the most controversial issues in contemporary research of creativity, whether a person"s creativity is domain-specific or domain-general, was investigated with 109 second grade children in the present study. The purposes of this study sere to empirically examine (1) the relationships among children's creative performances measured by three product-based assessments (story-telling, collage-making, and math word problems) in three domains, and (2) the relationships between children's general creative thinking sills, measured by two divergent thinking tests, and children's creative performances. The findings of this study support the position that creative ability in young children is rather (but not absolutely0 domain-specific. Children exhibited a range of creative ability across different domains rather than a uniform creative ability in diverse domains, indicating there is considerable intra-individual variation in creative ability by domain. Divergent thinking measures did not have great power in predicting creative performance in at least two of three, if not all, domains assessed in the study. It is implied from the study that it is not possible to reliably predict a child"s creative ability in one domain based on his/her creative ability in other domains or his/her overall divergent thinking ability. Implication of the study in connection with educational practices for gifted children is discussed.

• Journal of The Korean Association of Information Education
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• v.23 no.5
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• pp.481-489
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• 2019

In order to explore the learning attitude of the learners and the effects of conscious learning attitudes on academic achievement in On-line education system of open high school, we analyze the log data of 2,965 first graders who studied English, Math, Integrated Society and Integrated Science during the first semester of 2018. This study examines the learning status according to the learner's background variables, and analyzes the number of lessons per hour, learning progress rate, learning period, learning start month, and formative evaluation results for each class. In addition, to verify the effects of conscious learning attitude on academic achievement, skewness and kurtosis are calculated by using learning frequency values for each class. As a result, in almost all fields, the average number of lessons per class, study duration, progress rate, and grades, women are higher than men. In addition, the older ones are, the higher they are and the Seoul area is higher than the other area. The average learning period is 2~3 months, and the longer the learning period, the higher the formative evaluation score. Lastly, even though the number of learning is lower than that of learners who concentrate on a certain period of time, the formation scores of learners who learn consciously are higher.

• The Journal of the Korea institute of electronic communication sciences
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• v.13 no.6
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• pp.1301-1308
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• 2018

90/150 CA which are used as key generators of the cipher system have more randomness than LFSRs, but synthesis methods of 90/150 CA are difficult. Therefore, 90/150 CA synthesis methods have been studied by many researchers. In order to synthesize a suitable CA, the analysis of the characteristic polynomial of 90/150 CA should be preceded. In general, the characteristic of polynomial ${\Delta}_n$ of n cell 90/150 CA is obtained by using ${\Delta}_{n-1}$ and ${\Delta}_{n-2}$. Choi et al. analyzed $H_{2^n}(x)$ and $H_{2^n-1}(x)$, where $H_k(x)$ is the characteristic polynomial of k cell 90/150 CA with state transition rule <$10{\cdots}0$>. In this paper, we propose an efficient method to obtain $H_n(x)$ from $H_{n-1}(x)$ and an efficient algorithm to obtain $H_{2^n+i}(x)$ and $H_{2^n-i}(x)$ ($1{\leq}i{\leq}2^{n-1}$) from $H_{2^n}(x)$ by using this method.