• Title/Summary/Keyword: 수학적 지식의 이해

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A Study of STEAM Education Model for Collective Intelligence Learner With Regards to Developing People of Interdisciplinary Abilities (융합형 인재양성을 위한 집단지성 학습 기반 STEAM 교육 방안 연구)

  • Hong, Seong-Yong
    • Annual Conference of KIPS
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    • 2012.04a
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    • pp.1406-1409
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    • 2012
  • 최근 학문간 융합을 통한 STEAM 융합인재교육에 관한 연구가 활발하게 진행되고 있다. STEAM 교육은 과학, 기술, 공학, 예술 그리고 수학의 학문 영역을 유기적으로 융합하여 차세대 학습자들이 미래 사회에 필요한 핵심역량을 높일 수 있도록 하는 교육방식이다. 국가적인 차원에서 창의적인 융합인재를 위한 미래형 과학기술 교육을 중요하게 여기고 있으며, 과학기술 교육 패러다임에 변화를 기대하고 있다. 따라서 본 연구에서는 융합형 인재양성을 위한 집단지성 기반의 STEAM 교육 방안을 연구하고, 학습자의 과학기술에 대한 흥미와 이해를 높이고 융합적 사고와 문제해결 능력을 배양하기 위한 지능로봇 교육과정을 제시한다. 또한 집단 학습자들 간의 교육 적용 사례를 소개하고, 학습자의 만족도 분석을 통하여 검증하였다. 향후 본 연구의 결과로 집단 학습자의 학습 성취도를 향상시키고, 융합형 과학기술 인재양성 교육방안으로 발전하기를 기대한다.

Eye Tracking Analysis for High School Students' Learning Styles in the Process of Solving on Earth Science I (지구과학 I 문제 해결 과정에서 나타난 학습유형에 따른 고등학생의 시선 추적 분석)

  • An, Young-Kyun;Kim, Hyoungbum
    • Journal of the Korean Society of Earth Science Education
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    • v.10 no.1
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    • pp.50-61
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    • 2017
  • The purpose of this study is to analysis eye tracking for high school students' learning styles in the process of solving in the behavioral domains of the College Scholastic Ability Test on Earth Science I. The subjects of this study were 50 students from two classes out of 4 classes in E high school in Chungcheong province. Among them, we conducted experiments by randomly sampling 2 students of each type of learning based on the criteria that they had not encountered the problem of Earth Science I from the past two years. The findings indicate that the item correctness rate of divergers, assimilators, convergers, and accommodators were higher in the knowledge domain, application domain, knowledge-understanding domain, and understanding domain. This confirms that there is a difference among the four learning styles in the level of achievement according to the behavioral areas of the assessment questions. The latter finding was that the high eye-share of AOI 2 appeared higher than AOI 1, 3, 4 in the course of solving the problems. This is because the four types of learners pay more careful attention to the AOI 2 area, which is the cue-or-information area of problem solving, that is, the Table, Figure, and Graph area. Therefore, in order to secure the fairness and objectivity of the selection, it is necessary that an equal number of questions of each behavioral domain be selected on the Earth Science I Test of the College Scholastic Ability Test in general. Besides, it seems to be necessary that the knowledge, understanding, application, and the behavior area of the inquiry be highly correlated with the AOI 2 area in development of test questions.

Analysis on the Content Validity of the Korean Geography Subject College Scholastic Ability Test on the National Curriculum Achievement Standards (한국지리 대학수학능력시험의 교육과정 성취기준에 대한 내용타당도 분석)

  • Kim, Sihwa;Kang, Chang-Sook
    • Journal of the Korean association of regional geographers
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    • v.23 no.1
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    • pp.195-212
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    • 2017
  • This study analyzed on the content validity of the Korean geography subject evaluation questions on the College Scholastic Ability Test(CSAT) from 2014 to 2016 regarding the national curriculum achievement standards. The main results are as follows. First, from 'the knowledge dimension' aspect, both the achievement standard and the CSAT questions showed the highest ratio of 'factual knowledge'. Second, from 'the cognitive process dimension' aspect, the percentage of 'understand' was the highest in the achievement standard, whereas in the CSAT questions, the ratio of 'analyze' and complex type of 'analyze' and 'understand' was the highest. Third, in the result of the analysis of the content validity of the Korean geography CSAT questions through proportion test, all of the analysis targets showed 'a little low'. Finally, the content validity analysis showed that there was a significant difference between the main types of the achievement standards and the CSAT questions in the 'Geomorphological Environment and Ecosystem part' and 'Space of Production and Consumption part' from the cognitive process aspect, which showed relatively low content validity compared to other areas. The results of this study suggest that the achievement standards should be reflected on the Korean geography CSAT questions and it should not be focused on evaluating the learner's analysing ability.

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Application of Mathematics PBL Model Courses in the Chapter of a Decimal for the 4th Grade of Elementary School Students (초등학교 4학년 소수단원에서의 수학과 PBL 모형 적용 수업 분석)

  • Kang, Mi-Ae;Song, Sang-Hun
    • School Mathematics
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    • v.13 no.1
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    • pp.189-206
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    • 2011
  • This study is to setup a mathematics PBL model that is right for elementary students. PBL models are developed and applied to actual courses and analyzed. So, a specific plan and practical understanding of PBL mathematics textbooks will be presented. But in order for this to happen, first the mathematics PBL model, that can realize 7th revised curriculum's goal, needs to setup and divided into knowledge, skill and attitude domains. Through this study, the general PBL model and the PBL model appropriate for elementary mathematics was amended and supplemented, this was then applied to courses and analyzed, and the below conclusions were realized. First, mathematical idealization stage is needed for mathematical PBL model. Since an elementary student is shortcoming in problem understanding and mathematical activity, a middle step that allows the student to understand the problem situation mathematizing and find a solution mathematically is desperately needed. Therefore, in this study, we named it the mathematical idealization stage and had it setup. Second, a mathematics information collection stage needs to be prepared for a successful PBL. Through this stage, the students will have an opportunity to gather the necessary information needed and restructure it to solve the problem. Third, the organization stage in mathematical PBL model needs to be strengthened. PBL is not just completed, through the best use of mathematics subject matter to solve the problem. Organization time is needed to allow the students to grow to a more deepened and advanced level. In conclusion, there is significance in providing a specific plan for mathematical PBL model, which can be seen through this study on applying and analyzing elementary mathematics and appropriate PBL models.

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An Investigation of the Selection Process of Mathematically Gifted Students

  • Lee, Kyung-Hwa;Park, Kyung-Mee;Yim, Jae-Hoon
    • Research in Mathematical Education
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    • v.7 no.3
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    • pp.139-150
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    • 2003
  • The purpose of this paper is to review the gifted education from a reflective perspective. Especially, this research touches upon the issues of selection process from a critical point of view. Most of the problems presented in the mathematics competition or in the programs for preparing such competitions share the similar characteristic: the circumstances that are given for questions are too artificial and complicated; problem solving processes are superficially and fragmentally related to mathematical knowledge; and the previous experience with the problem very much decides whether a student can solve the problem and the speed of problem solving. In contrast, the problems for selecting students for Gifted Education Center clearly show what the related mathematical knowledge is and what kind of mathematical thinking ability these problems intend to assess. Accordingly, the process of solving these problems can be considered an important criterion of a student's mathematical ability. In addition, these kinds of problems can encourage students to keep further interest, and can be used as tasks for mathematical investigation later. We hope that this paper will initiate further discussions on issues derived from the mathematically gifted student selection process.

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A Study on the Definition of a Circumcenter and an Incenter of Triangle (삼각형의 외심, 내심의 정의에 관한 고찰)

  • Jun, Young-Bae;Kang, Jeong-Gi;Roh, Eun-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.355-375
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    • 2011
  • This paper was designed for the purpose of helping the functional comprehension on the concept of a circumcenter and an incenter of triangle and offering the help for teaching-learning process on their definitions. We analysed the characteristic of the definition on a circumcenter and an incenter of triangle and studied the context, mean and purpose on the definition. The definition focusing on the construction is the definition stressed on the consistency of the concept through the fact that it is possible to draw figure of the concept. And this definition is the thing that consider the extend of the concept from triangle to polygon. Meanwhile this definition can be confused because the concept is not connected with the terminology. The definition focusing on the meaning is easy to memorize the concept because the concept is connected with the terminology but is difficult to search for the concept truth. And this definition is the thing that has the grounds on the occurrence but is taught in a made-knowledge. The definition focusing on both the construction and meaning is the definition that the starting point is vague in the logical proof process. We hope that the results are used to improve the understanding the concept of a circumcenter and an incenter of triangle in the field of mathematical education.

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A Research on Teachers' Professional Development of Mathematics (수학 교과 전문성 신장에 대한 소고)

  • Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.3
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    • pp.389-401
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    • 2012
  • The focus of the present study is on examining a research trend of teachers' professional development in mathematics. In do this, this study investigated the meaning and standards of professional development about mathematics, examining the characteristics of successful mathematics education professional programs, and looking for the processes of teachers' professionalization about mathematics. The findings of this study point out as follows: Teachers' professional development about mathematics implies the improvement of the quality of mathematics instruction following improving the quality of mathematics learning through well-structured mathematics teacher education programs. To do this, teachers need to have shared vision about how to teach mathematics, to have profound knowledge related to the mathematics subject, and to actively participate in teachers' professional development programs in mathematics. The results suggest the common characteristics of successful programs of mathematics teachers' professional development. The results of this study suggest that teachers need to have passion and efforts to improve teachers' professionalization about mathematics, and research on teacher professional development should be based on understanding about teachers. Also, more teacher-researchers to connect educational theories with educational practices are recommended, and a model for teachers' professional development program of mathematics appropriate to the context of Korea needs to be developed.

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Mathematical Errors of Minority Students from North Korean Defectors and Low-SES in Learning of Mathematical Basic Concepts (교육소외 학생들의 기초학력 신장을 위한 수학학습에서 나타난 수학적 오류: 탈북학생과 저소득층 학생을 대상으로)

  • ChoiKoh, Sang-Sook
    • Journal of Educational Research in Mathematics
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    • v.22 no.2
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    • pp.203-227
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    • 2012
  • This was to investigate how the slow learners who specially belonged to low-SES, or North Korean defectors showed their errors in mathematical learning. To conduct the study, two groups for each minority group participated in the study volunteerly during the Winter vacation, in 2011. Based on the preliminary interviews, a total of 15 units were given, focusing on building mathematical basic concepts. As results, they had some errors in common. They both were in lack of understanding of the terminologies and not able to apply the meanings of definitions and theorems to a problem. Because of uncertainty of basic knowledge of mathematics, they easily lost their focus and were apt to make a mistake. Also, they showed clear differences. North Korean defectors were not accustomed to using or understanding the meanings of Chines or English in Korean words in expressing, writing mathematical terminologies and reading data on the context. Technical errors, and misinterpreted errors were found. However, students from the low SES showed that they were familiar with mathematical words and terminologies, but their errors mostly belonged to carelessness because of the lack of mastering mathematical concepts.

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A Qualitative Analysis on the Characteristics of "Best Practice" in Mathematics (수학과 좋은 수업 사례에 대한 질적 분석)

  • Lee, Dae-Hyun;Choe, Seung-Hyun
    • Journal of the Korean School Mathematics Society
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    • v.9 no.3
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    • pp.249-263
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    • 2006
  • The purpose of this study is to investigate the characteristics of 'best practire' in mathematics and suggest some solutions to several problems emerging in mathematics classes of secondary schools. The study was carried out by using qualitative research methods such as class observations and in-depth interviews with six teachers. Based on the collected data, we could sort out the major patterns which characterize 'the good mathematics teaching' at schools in Korea. The common characteristics of best practice in mathematics are drawn out from the six cases. The common characteristics include revising the curriculum and text books, realistic mathematics education, using ICT and meta-cognition, introduction with motivation and interest, performance assessment and managing differentiated small group. Results implied that six teachers used a variety of instructional methods and strategies which is related with the common characteristics of good mathematics teaching. Also these teachers not only improved their own classroom practices but also participated in various professional community of mathematics education and shared their practical knowledge. In conclusion assorted efforts from the government and the school principals as well as the teachers are prerequisite for practicing and spreading good mathematics teaching across the classrooms.

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A Study on the Restructuring of a Textbook for Inquisitive Learning - Focused on the 4th Grade in Elementary School - (탐구학습을 위한 교과서 재구성에 관한 소고 - 초등학교 4학년을 중심으로 -)

  • Kim, Won-Deok;Rim, Hae-Kyung
    • Journal of Elementary Mathematics Education in Korea
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    • v.11 no.1
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    • pp.81-98
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    • 2007
  • In order to help students learn geometric concepts in mathematics in an easy and interesting way, the present study restructured the textbook so that it utilizes GSP based on van Hiele's theory. In addition, we purposed to examine how effective the restructured textbook is in enhancing students' van Hiele level and to lay a base for the active use of GSP in learning figures in elementary school. In conclusion, the results of this study is expected to solve problems in the structure of the current textbook such as the violation of continuity in van Hiele's theory and inconsistency between the level of textbook contents and students' level through the restructuring of the textbook using GSP and provide helps for effective figure learning. In addition, this research is expected to be an opportunity for the active use of GSP in teaching figures in elementary school.

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