• Title/Summary/Keyword: Math Education

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An Analysis on the Past Items of Discrete Mathematics in Secondary School Mathematics Teacher Certification Examination (수학과 중등임용 이산수학 기출 문항 분석)

  • Kim, Changil;Jeon, Youngju
    • The Journal of the Korea Contents Association
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    • v.17 no.10
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    • pp.472-482
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    • 2017
  • In this study, discrete mathematical items were classified into analytical items and mathematical items were analyzed on the basis of analytic framework items of mathematics and the past items of mathematics subject contents of the period 2011-2017 school year. First, the discrete mathematics evaluation areas and evaluation contents proposed by the Korea Institute for Curriculum and Evaluation should be evenly distributed. Second, the items of measuring metacognitive knowledge as a strategic knowledge on the use of cognitive methods should be given. Third, the ratio of the number of items in discrete mathematics to the number of that was 3.8%~6.8%, and the ratio according to the item weighting was 2.2%~6.3%. Fourth, it is analyzed that all the items are suitable for the evaluation goal and the pre-service math teachers who have faithfully implemented the curriculum have maintained the appropriate level of difficulty to solve. Finally, the content items such as the method of counting the discrete mathematics curriculum, the Recurrence Relation, the generation function, and the graph are matched with the teacher certification examination and the mathematics education curriculum of each teachers college. By these reasons, we conclude that the contribution of pre-service teachers to the motivation of learning is obtained and implications.

Analysis of Affective Factors on Mathematics Learning According to the Results of PISA2003 (PISA 2003 결과에서 수학의 정의적 영역에 영향을 주는 변인 분석)

  • Lee, Chong-Hee;Kim, Soo-Jin
    • School Mathematics
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    • v.12 no.2
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    • pp.219-237
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    • 2010
  • On inquiry of international comparison assessment, the Korean students achieve high scores in mathematics while they achieve relatively low scores in responses of the affective questionnaire. It can be an important point in mathematics education of Korea, but there are few studies which explore the specific reasons. So in this study, we analysed the results of PISA 2003(in math domain) based on multiple regression analysis and correlation analysis to investigate the reasons and features of those phenomena. We compared the results of Korean students with students of other countries. As a result, there were 7 factors which effect on Korean students' affective domain in mathematics learning and they were statistically significant. According to this study, it needs to improve students' positive attitudes to their school, mathematical interest, and positive self-concept. And it needs to develop an actual instrument to explore the affective domain which effect on mathematics learning.

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A case study on the mathematical problem solving performance of simultaneous equations for the students from a remedial course (특별보충과정 학생들의 문제해결수행에 대한 사례연구)

  • Ko, Sang-Sook;Lee, Sang-Hui
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.105-120
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    • 2006
  • The Seventh Curriculum makes sure that those students who don't have a proper understanding of contents required at a certain stage take a remedial course. But a trend contrary to the intention is formed since there is no systematic education for such a course and thus more students get to fall into the group of low achievement. In particular, solving a simultaneous equation in a rote way without understanding influences negatively students' achievement. Schoenfeld introduced the basic elements of one's own mathematical problem solving process and behavior, referred to Polya's. Employing Schoenfeld's strategy, this study aimed to induce students' active participation in math classes, as well as to focus on a mathematical problem solving process during the study. Two students were selected from a remedial course at 00 Middle School and administered with a qualitative case study method over 17 lessons, each of which lasted for 30 minutes. In the beginning, they used such knowledge as facts and definitions a lot. There was a tendency of their resorting to intuitive knowledge more when they lacked basic knowledge or met with a difficult question. As the lessons were given, however, they improved their ability to implement algorithm procedures and used more familiar ones with the developed common procedures in the area of resources.

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Designing a Model of Problem Posing focusing on the Analysis of Meaning (의미 분석을 강조한 문제설정 모형 설계하기)

  • Jun, Young Bae;Roh, Eun Hwan;Kim, Dae Eui;Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.383-407
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    • 2013
  • As an alternative of making students active and independent under the passive learning conditions in school math classes, many researchers have paid much attention to problem posing and done a lot of research on it. Above all, Brown and Walter proposed What I f Not strategy as a means of problem posing. In this strategy, during the process of posing problems, the transformation of their attributes is inevitably made, and so after problem posing, the process is finished by explaining the problem. But only the simple transformation of attributes could pose wrong problems. It suggests that it is very important to recognize the relationship which leads to organic connection between attributes in order to pose the right problem. However, many other studies of problem posing haven't focused on this fact. Thus, this study tried to design a model of problem posing to help recognize inherent knowledge in the problem and then pose the right problem by adding an activity of meaning analysis. We concretely showed a model of problem posing emphasizing the analysis of meaning by means of an example, thereby examining the meaning of the model. This study expects students to have the chance to understand the true meaning of problem posing and to be active learners after all.

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Temperament and Character of Entrepreneurial Gifted Students (청소년 기업영재의 기질 및 성격 특성)

  • Choi, MinGyeong;Lee, HangEun
    • Journal of Gifted/Talented Education
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    • v.23 no.1
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    • pp.89-107
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    • 2013
  • Research on entrepreneurial giftedness is in its initial stage and the importance is increasing these days. The purpose of this article was to provide a standard type of entrepreneurial gifted students by measuring their temperament and character separately. In the year of 2010 to 2011 participants of 'Future Creative Entrepreneur' projects which was governed by Korean Patent Office and Korean Intellectual Property Association participated the present study. They composed of middle and high school students and the total number of them was 246. For all the 7 temperament and character scales; the novelty seeking, the harm avoidance, the reward dependence, the persistence, the self-directedness, cooperativeness, and self-transcendence, scores of the entrepreneurial gifted students were significantly different from the norm group (average students at the same age). In a nut shell, entrepreneurial gifted students were optimistic in their temperament and mature in their character. They also manifested high ability of adjustment and control so they can manage their features of temperament which include all the advantages and weaknesses. The Entrepreneurial gifted students were differentiated from gifted science and math students, academically competent group, and high IQ group. Implications and further research directions were discussed.

The Effects of Number-Related Fairy Tales on Young Children's Mathematical Inquiry Skills (수 관련 동화가 유아의 수리 탐구 능력에 미치는 효과)

  • Lim, Soon Hwa;Kwon, Eun Ju
    • Korean Journal of Childcare and Education
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    • v.1 no.1
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    • pp.37-58
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    • 2005
  • The purpose of this study was to examine whether or not the use of number-related fairy tales had any effects on young children's mathematical inquiry skills in a bid to help facilitate their development of mathematical capabilities. The subjects in this study were 30 preschoolers who were four years old in Western age and attended G kindergarten in Jung-gu, Ulsan. The instrument used to assess their mathematical inquiry skills was Choi Hye-jin(2003)'s Preschooler Math Capability Inventory. The collected data wee analyzed with SPSS Win 11.5 program, and analysis of covariance was utilized. The findings of the study were as follows: The application of number-related fairy tales turned out to be effective in developing the young children's abilities to figure out the regularity of things, conception of number, geometrical abilities, measurement abilities and mathematical inquiry skills of the preschoolers. The above-mentioned findings suggested that the application of number-related fairy tales was one of good teaching methods to step up the development of young children's mathematical inquiry skills. Specifically, that could inner motivation to preschoolers in mathematical contexts and take their problem-solving skills to another level.

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A qualitative case study about mathematics pre-service teachers' deep motivation, pedagogical content knowledge and inner vision (중등 수학 예비교사의 심층 동기, 교과교육학 지식 및 내적 비전에 관한 질적 사례 연구)

  • Jun, Young-Cook;Kang, Yoon-Soo;Witz, Klaus
    • 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.

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A Study on the Understanding of the Base Area of Solid Figures in the Elementary Mathematics (초등수학에서 입체도형의 밑넓이 이해에 대한 연구)

  • Kim, Sung Joon
    • 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.

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Profiles of Overexcitabilities for Korean High School Gifted Students According to Gender and Domain of Study (한국 고등학교 영재 학생들의 성별과 전공에 따른 과민흥분성에 대한 프로파일)

  • Moon, Jeong-Hwa;Montgomery, Diane
    • 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.

Investigation of Domain-specificity and Domain-generality of Creativity in Young Children (창의성의 영역 한정성과 영역 보편성에 관한 분석과 탐구)

  • Han, Ki-Soon
    • 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.

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