• Title/Summary/Keyword: 수학교육과 교육과정

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An Analysis on Teachers' Behaviors in Problem Presenting and Solving Activities in Elementary Mathematics Class (초등수학수업의 과제제시 및 해결활동에서 나타나는 교사의 행동 분석)

  • Lee, Yun-Mi;Kang, Wan
    • Education of Primary School Mathematics
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    • v.11 no.2
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    • pp.121-139
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    • 2008
  • This study analyzed problem presenting and solving activities in elementary school mathematics class to enhance insights of teachers in class for providing real meaning of learning. Following research problems were selected to provide basic information for improving to sound student oriented lesson rather than teacher oriented lessons. Protocols were made based on video information of 5th grade elementary school 'Na' level figure and measurement area 3. Congruence of figures, 4. Symmetry of figures, and 6. Areas and weight. Protocols were analyzed with numbering, comment, coding and categorizing processes. This study is an qualitative exploratory research held toward three teachers of 5th grade for problem solving activities analysis in problem presenting method, opportunity to providing method to solve problems and teachers' behavior in problem solving activities. Following conclusions were obtained through this study. First, problem presenting method, opportunity providing method to solve problems and teachers' behavior in problem solving activities were categorized in various types. Second, Effective problem presenting methods for understanding in mathematics problem solving activities are making problem solving method questions or explaining contents of problems. Then the students clearly recognize problems to solve and they can conduct searches and exploratory to solve problems. At this point, the students understood fully what their assignments were and were also able to search for methods to solve the problem. Third, actual opportunity providing method for problem solving is to provide opportunity to present activities results. Then students can experience expressing what they have explored and understood during problem solving activities as well as communications with others. At this point, the students independently completed their assignments, expressed their findings and understandings in the process, and communicated with others. Fourth, in order to direct the teachers' changes in behaviors towards a positive direction, the teacher must be able to firmly establish himself or herself as a teaching figure in order to promote students' independent actions.

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The Influence of the Grouping Method by Personality Types on Mathematical Attitude and Achievement in Small Group Cooperative Learning (소집단 협동학습에서 성격유형별 집단구성방법이 수학적 태도 및 성취도에 미치는 영향)

  • Oh, Yun-Suk;Park, Sung-Sun
    • Communications of Mathematical Education
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    • v.22 no.2
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    • pp.211-227
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    • 2008
  • The method of being composed of small groups has a strong influence on mathematics and cooperative learning and therefore, the group classification should be made in a way of considering not only a learner's cognitive factor but also a affective factor in order to maximize the effects. In this research, we regarded personality as the important standard of the group classification for cooperative learning and tried to find out the influence on the mathematical attitude and achievement in mathematics by means of conducting mathematics and cooperative learning according to the personality types. In order to resolve this problem, we performed the cooperative learning of small group subject to the students at year 6 in an elementary school by making up a similar personality type of group and a different personality type of group through MMTIC examination, and also tried to find out any significant difference in terms of mathematical attitude and achievement in mathematics between two groups. The results obtained in this research are as follows; First, organizing groups in accordance with personality types did not affect on mathematical attitude. Although there were some positive opinions towards mathematics and cooperative learning, the both similar personality type of group and different personality type of group showed no significant difference in terms of mathematical attitude between two groups. Second, organizing groups in accordance with personality types showed positive effects on the achievement in mathematics. The similar personality type of group showed the better achievement in mathematics than the different personality type of group.

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Analysis of Students' Responses on the Items of Chemistry II in the College Scholastics Ability Test (대학수학능력시험 화학II 문항에 대한 학생들의 응답 분석)

  • Hong, Mi-Young;Jeon, Kyung-Moon;Yi, Bum-Hong;Lee, Yang-Rak
    • Journal of The Korean Association For Science Education
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    • v.22 no.1
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    • pp.204-213
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    • 2002
  • In this study, the students' responses on the items of chemistry II in the College Scholastics Ability Test (CSAT) implemented for the past 3 years since 1999 was investigated. The number of applicants and mean score of chemistry II, average percent correct by contents and inquiry process, and the items with high and/or low percent correct are analysed and discussed. The percentage of applicants for natural science track is reduced each year. However, more than 25% of natural science track applied to chemistry II, which ranked second to biology II. The mean score of chemistry II was increased in 2001 along with those of other subjects. There is no difference in average percent correct either by contents or inquiry process. Students performed generally poor at solving test items relating to 'colligative properties of solution' such as 'boiling point elevation' or 'osmotic pressure', and very well at solving test items relating to 'reaction rates'. Educational implications are discussed.

A Study on the Development of a Test for the Identification Gifted Children, based on the Characters of the Creativity and the Information Science (창의성 및 정보과학적 특성을 기반으로 한 정보영재 판별도구 개발연구)

  • Shin, Seung-Yong;Shin, Soo-Bum;Bae, Young-Kwon;Lee, Tae-Wuk
    • The Journal of Korean Association of Computer Education
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    • v.7 no.4
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    • pp.7-14
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    • 2004
  • Since the science of information is appearing no less important than mathematics and natural science as our society is rapidly becoming information-oriented, the necessity to distinguish prodigies of this field and to educate them as early as possible is also being emphasized. Unfortunately, however, the pertinent study is still in its beginning stage. In this study, I have reviewed the character, definition and method to distinguish prodigies and the procedure of developing a test, as well as researching and analyzing the proper process of distinguishing prodigies, through theoretical contemplation on the method of distinguishing the gifted children. Also, I have characterized and defined the information prodigies after clarifying the character of 'Discrete Mathematics' which becomes the basis of the science of information, paving the way to make a test method that can distinguish those information prodigies. As a result of our applying the system by using the distinction test, it turned out that the distinction test was pretty reliable. Accordingly, it can be utilized as a significant distinction test for information prodigies in the forthcoming future.

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Research on Selecting Candidates for the Courses for the Gifted Children on Intelligence Technology (정보과학 분야의 영재교육 대상자 선발에 관한 연구)

  • Seo, Seong-Won;Jeon, Mi-Yeon;Hong, Rok-Ki;Lim, Gyeong-Jin;Shin, Mi-Hae;Kim, Eui-Jeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.05a
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    • pp.401-404
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    • 2010
  • Researches on prodigies and education for those have recently been progressing in many fields. Education for the gifted, which was basically on Math and Science on the start, now includes Intelligence, Invention, Cultural Sciences, Art, and so on. With the progression towards extremely developed information society, interests in and importance on the courses for the talented get more and more focused. The problem is, however, choosing the gifted and educating them is not an easy matter, since the history of Intelligence Technology is relatively short and it is hard to identify prodigies and categorize what kinds of courses they need. Also, from 2010 "Science Education Institute for the Gifted" freshmen draft, paper-based admission test has been discarded and teacher-recommendation through long-term observation introduced. Therefore needs have been increasing for quality selection methods including observation records, recommendation letters, and portfolios. Reformation on teaching and creative selection methods has been accentuated because of lack of academic base for selecting candidates for education for the gifted. Because of all those mentioned above, reliances for the selection processes during the last three years and the one in 2010, observation records, recommendations and portfolios included, have been analyzed and evaluated. Several factors which can be used instead of paper-based tests were coordinated. Based on it, it was highly possible and has been successful to draft all the applicants in cognitive, sentimental, and creative fields.

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The Roles of Structural Similarity, Analytic Activity and Comparative Activity in Stage of Similar Mathematical Problem Solving Process (유사 문제 해결에서 구조적 유사성, 분석적 활동 그리고 비교 활동의 역할)

  • Roh, Eun-Hwan;Jun, Young-Bae;Kang, Jeong-Gi
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.21-45
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    • 2011
  • It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process, we tried to find the roles of them. We observed closely how four students solve the target problem in reference to the base problem. And so we got the following conclusions. The insight of structural similarity prepare the ground appling the solving method of base problem in the process solving the target problem. And we knew that the analytic activity can become the instrument which find out the truth about the guess. Finally the comparative activity can set up the direction of solution of the target problem. Thus we knew that the insight of structural similarity, the analytic activity and the comparative activity are necessary for similar mathematical problem to solve. We think that it requires the efforts to develop the various programs about teaching-learning method focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process. And we also think that it needs the study to research the roles of other elements for similar mathematical problem solving but to find the roles of the structural similarity, analytic activity and comparative activity.

Analysis on the Perception Discrepancy between Teacher's Teaching Goal and Students' Learning Goal in the Elementary School Mathematics Class for the Gifted (초등수학영재학급에서 교수자의 지도 목표와 학습자의 학습 목표 인식 간극 분석)

  • Lim, Seoung Jae;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.1
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    • pp.1-16
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    • 2015
  • This study investigated the analysis of examples that gifted students' realizing the learning objectives through teaching method of the teacher's questions and advice. 6 gifted students were selected to be examined with 'magic square' in class. The teacher emphasized the learning objectives without directly proposing. Whereas, the teacher proposed the learning objectives by questioning and giving advice to students. After the class, the 6 gifted students were surveyed to answer about realizing the learning objectives of mathematics (about contents, process, and attitude in mathematics learning objectives). Mathematical gifted students thought about the process that consists of deductive thinking, analogic thinking, extensive thinking, creative thinking, and critical thinking. But, they underestimated the deductive thinking. So the teacher should develop the questions and advice to teach the mathematical gifted students according to the level of them. The high level of mathematical gifted students were able to realize the value and the importance of the mathematical attitude, while the low level of mathematical gifted students were able to realize them little. For this reason, the teacher should apprehend the level of the students, and propose materials and contents of the learning. The teacher should also make the gifted students realize value, will, and personality of mathematics by questions and advice. Lastly, like it is needed in general classes, there should be a constant researches and improvements about questions of the teacher that are appropriate to each student's learning abilities and cognition ability.

Exploring fraction knowledge of the stage 3 students in proportion problem solving (단위 조정 3단계 학생의 비례 문제 해결에서 나타나는 분수 지식)

  • Lee, Jin Ah;Lee, Soo Jin
    • The Mathematical Education
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    • v.61 no.1
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    • pp.1-28
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    • 2022
  • The purpose of this study is to explore how students' fractional knowledge is related to their solving of proportion problems. To this end, 28 clinical interviews with four middle-grade students, each lasting about 30~50 minutes, were carried out from May 2021 to August 2021. The present study focuses on two 7th grade students who exhibited their ability to coordinate three levels of units prior to solving whole number problems. Although the students showed interiorization of three levels of units in solving whole number problems, how they coordinated three levels of units were different in solving proportion problems depending on whether the problems required reasoning with whole numbers or fractions. The students could coordinate three levels of units prior to solving the problems involving whole numbers, they coordinated three levels of units in activity for the problems involving fractions. In particular, the ways the two students employed partitioning operations and how they coordinated quantitative unit structures were different in solving proportion problems involving improper fractions. The study contributes to the field by adding empirical data corroborating the hypotheses that students' ability to transform one three levels of units structure into another one may not only be related to their interiorization of recursive partitioning operations, but it is an important foundation for their construction of splitting operations for composite units.

Development and Application of a Big Data Platform for Education Longitudinal Study Analysis (교육종단연구 분석을 위한 빅데이터 플랫폼 개발 및 적용)

  • Park, Jung;Cho, Wan-Sup
    • The Journal of Bigdata
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    • v.5 no.1
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    • pp.11-27
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    • 2020
  • In this paper, we developed a big data platform to store, process, and analyze effectively on such education longitudinal study data. And it was applied to the Seoul Education Longitudinal Study(SELS) to confirm its usefulness. The developed platform consists of data preprocessing unit and data analysis unit. The data preprocessing unit 1) masking, 2) converts each item into a factor 3) normalizes / creates dummy variables 4) data derivation, and 5) data warehousing. The data analysis unit consists of OLAP and data mining(DM). In the multidimensional analysis, OLAP is performed after selecting a measure and designing a schema. The DM process involves variable selection, research model selection, data modification, parameter tuning, model training, model evaluation, and interpretation of the results. The data warehouse created through the preprocessing process on this platform can be shared by various researchers, and the continuous accumulation of data sets makes further analysis easier for subsequent researchers. In addition, policy-makers can access the SELS data warehouse directly and analyze it online through multi-dimensional analysis, enabling scientific decision making. To prove the usefulness of the developed platform, SELS data was built on the platform and OLAP and DM were performed by selecting the mathematics academic achievement as a measure, and various factors affecting the measurements were analyzed using DM techniques. This enabled us to quickly and effectively derive implications for data-based education policies.

Learning Styles and Perceptions on Subject Matter Content by Science Gifted Elementary Students (초등학교 과학 영재들의 교과 내용 인식과 학습 양식)

  • Cho Jung-Il;Choi Gyu-Shik
    • Journal of Korean Elementary Science Education
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    • v.25 no.2
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    • pp.118-125
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    • 2006
  • The purpose of the study was to research science gifted students' learning styles and perceptions on subject matter content. The data was collected from primary science and mathematics classes of a University Center for Science Gifted Education, science classes of a Metrocity Primary Gifted Education Institute, and classes of a normal school. The results of the study were that gifted students perceived the school curriculum much easier than non-gifted students did, ($X^2(4)=33.180$, p<.001), and that levels of interest in the content did not differ between the groups, but 34.6 percent of the total students responded that they found the content uninteresting. Gifted students did not see the content as being important compared to the non-gifted students, ($X^2(4)=12.443$, p<.05), and gifted students valued the methods used higher than the actual content of the textbook. The most helpful activities for their teaming that gifted students chose were projects, listening to teachers, and conducting experiments, amongst others. They also preformed 'teaming at their own speed in a mixed group'" for the study of social studies, science, and mathematics, whereas non-gifted students preformed teaming at the same speed. The two groups of science gifted students varied especially in their perceptions of most helpful activities. It is suggested that special programs for fulfilling gifted students' needs and abilities need to be developed and implemented.

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