• Title/Summary/Keyword: 수학과교육과정

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Comparative Study between Mathematically Gifted Elementary Students and Common Students in Self-Efficacy and Career Attitude Maturity (초등수학영재와 일반학생의 자기효능감과 진로태도성숙과의 관계 비교)

  • Lee, Jung Hwa;Ryu, Sung Rim
    • Communications of Mathematical Education
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    • v.27 no.1
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    • pp.63-80
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    • 2013
  • Reflecting the recent trends and needs of gifted education, this study set out to compare and analyze mathematically gifted elementary students and common students in self-efficacy and career attitude maturity, understand the characteristics of the former, and provide assistance for career education for both the groups. The subjects include 237 mathematically gifted elementary students and 221 common students in D Metropolitan City. The research findings were as follows: First, mathematically gifted elementary students turned out to have higher self-efficacy than common students at the significance level of .01 in the three self-efficacy subfactors, namely confidence, self-regulated efficacy, and task difficulty preference. The findings indicate that mathematically gifted elementary students have much confidence in themselves and strong faith in themselves, thus forming a habit of preferring a relatively high-level task by taking self-management and task difficulty into proper consideration. Second, mathematically gifted elementary students showed higher overall career attitude maturity than common students. There was significant difference at the significance level of .01 in decisiveness and preparedness between the two groups and significant difference at the significance level of .05 in assertiveness. However, there was no statistically significant difference in purposefulness and independence between the two groups. Finally, there were positive correlations at the significance level of .01 between all the subfactors of self-efficacy and those of career attitude maturity in all the subjects except for self-regulated efficacy and purposefulness, between which there were positive correlations at the significance level of .05. The mathematically gifted elementary students showed positive correlations between more subfactors of self-efficacy and career attitude maturity than common students. Given those findings, it is necessary to take differences in self-efficacy and career attitude maturity between mathematically gifted elementary students and common students into account when organizing and running a curriculum. The findings confirm the importance of providing students with various experiences fit for them and point to a need for helping mathematically gifted elementary students maintain a high level of self-efficacy and guiding them through career education with more appropriate career attitude maturity improvement programs.

Importance-Performance Analysis (IPA) of the Core Competence of Gifted Education Teachers (영재교육 담당교원의 핵심역량 인식에 대한 중요도와 실행도(IPA) 분석)

  • Lee, Mina;Park, Sung Hee
    • Journal of Gifted/Talented Education
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    • v.25 no.6
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    • pp.927-949
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    • 2015
  • The purpose of this study was to find out the difference between importance and performance regarding perception of core competence of gifted education teachers through importance-performance analysis (IPA). One hundred fourteen elementary gifted education teachers including math and science participated in the study. The collected survey data was analyzed with IPA matrix. As the result, firstly, there was significant difference between importance and performance regarding perception of core competence of gifted education teachers. Secondly, core competencies of 'understanding knowledge', 'research and instruction', 'passion and motivation', and 'ethics' are high in both perceptions of importance and performance. However, both 'communication and practices' and 'professional curriculum development' are low. Thirdly, there was a difference in core competence of gifted education teachers between math and science at the competence of 'passion and motivation'. Math gifted education teachers perceived 'passion and motivation' high in both importance and performance while science gifted education teachers perceived its importance low and performance high. In addition, math gifted education teachers showed lower performance compared to its importance in the sub-categories; 'knowledge of gifted development', 'gifted child assessment', 'information gathering and its literacy', and 'creative answers to various questions'. However, science gifted education teachers showed lower performance compared to its importance in sub-categories; 'higher-order thinking skills in its subject', 'teaching methodology for self-directed learning', 'problem behavior of the gifted', and 'counseling the gifted'.

A Study on Teaching of the Elements of Geometry in Secondary School (중학교 기하 교재의 '원론' 교육적 고찰)

  • Woo Jeong-Ho;Kwon Seok-Il
    • Journal of Educational Research in Mathematics
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    • v.16 no.1
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    • pp.1-23
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    • 2006
  • It is regarded as critical to analyse and re-appreciate Euclidean geometry for the sake of improving school geometry This study, a critical analysis of demonstrative plane geometry in current secondary school mathematics with an eye to the viewpoints of 'Elements of Geometry', is conducted with this purpose in mind. Firstly, the 'Elements' is analysed in terms of its educational purpose, concrete contents and approaching method, with a review of the history of its teaching. Secondly, the 'Elemens de Geometrie' by Clairaut and the 'histo-genetic approach' in teaching geometry, mainly the one proposed by Branford, are analysed. Thirdly, the basic assumption, contents and structure of the current textbooks taught in secondary schools are analysed according to the hypothetical construction, ordering and grouping of theorems, presentations of proofs, statements of definitions and exercises. The change of the development of contents over time is also reviewed, with a focus on the proportional relations of geometric figures. Lastly, tile complementary way of integrating the two 'Elements' is explored.

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Analysis of Information Science Gifted characterization of the subjects (정보과학영재의 과목별 특성 분석)

  • Seo, Seong-Won;Kim, Eui-jeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.05a
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    • pp.495-498
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    • 2009
  • In this paper, we tried to identify implications of selecting gifted of information science & followed educational system via analyzing each of student's characteristics in each subjects they study within Science Education Institute for the Gifted. A study of the existing institutions do not have experience of the gifted students based on assessment through observation of the 1-year science, mathematics and information science education in the List of attribute analysis. Learners of Information Science became with analysis that Attitude Category was superior in mathematics to the subject of science and Problem Solving Category regardless of the subjects showed similar. As to, Attitude Category, Problem Solving Category and Mathematics Cognition Category was analyzed to be closed and we could confirm through the qualitative observation record. On this, the researcher concluded that the mathematics could know the effect fitness by a learner rather than the subject of science as to an attitude and problem resolution area.

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A Study on Twofold Interpretation and Concept Extension of Stochastic Independence (확률의 독립성의 개념 확장과 이중적 관점에 대한 고찰)

  • Cho, Cha-Mi
    • Journal of Educational Research in Mathematics
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    • v.19 no.2
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    • pp.257-271
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    • 2009
  • Stochastical independence is separated into two. One can be intuitively judged and the other is not. Independence is a concept based on assumption. However, It is defined as multiplication rule and it has produced extension of concept. Analysis on this issue is needed, assuming the cause is on the intersection sign which is used for both simultaneous events and compatible events. This study presented the extension process of independence concept in detail and constructed twofold interpretation of simultaneous events and compatible events which use the same sign $P(A\cap{B})$ with Pierce Semiotics.

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Use of ChatGPT in college mathematics education (대학수학교육에서의 챗GPT 활용과 사례)

  • Sang-Gu Lee;Doyoung Park;Jae Yoon Lee;Dong Sun Lim;Jae Hwa Lee
    • The Mathematical Education
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    • v.63 no.2
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    • pp.123-138
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    • 2024
  • This study described the utilization of ChatGPT in teaching and students' learning processes for the course "Introductory Mathematics for Artificial Intelligence (Math4AI)" at 'S' University. We developed a customized ChatGPT and presented a learning model in which students supplement their knowledge of the topic at hand by utilizing this model. More specifically, first, students learn the concepts and questions of the course textbook by themselves. Then, for any question they are unsure of, students may submit any questions (keywords or open problem numbers from the textbook) to our own ChatGPT at https://math4ai.solgitmath.com/ to get help. Notably, we optimized ChatGPT and minimized inaccurate information by fully utilizing various types of data related to the subject, such as textbooks, labs, discussion records, and codes at http://matrix.skku.ac.kr/Math4AI-ChatGPT/. In this model, when students have questions while studying the textbook by themselves, they can ask mathematical concepts, keywords, theorems, examples, and problems in natural language through the ChatGPT interface. Our customized ChatGPT then provides the relevant terms, concepts, and sample answers based on previous students' discussions and/or samples of Python or R code that have been used in the discussion. Furthermore, by providing students with real-time, optimized advice based on their level, we can provide personalized education not only for the Math4AI course, but also for any other courses in college math education. The present study, which incorporates our ChatGPT model into the teaching and learning process in the course, shows promising applicability of AI technology to other college math courses (for instance, calculus, linear algebra, discrete mathematics, engineering mathematics, and basic statistics) and in K-12 math education as well as the Lifespan Learning and Continuing Education.

An Analysis of Elementary School Teachers' PCK about N÷0 (수÷0에 대한 초등교사의 PCK 분석)

  • Lim, Miin;Chang, Hyewon
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.657-673
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    • 2015
  • In this study, we are interested in the teachers' MCK about '$N{\div}0$' and MPCK in relation to the proper ways to teach it. Even though '$N{\div}0$' is not on the current curriculum and textbooks of elementary school mathematics, a few students sometimes ask a question about it because the division of the form '$a{\div}b$' is dealt in whole number including 0. Teacher's obvious understanding and appropriate guidance based on students' levels can avoid students' error and have positive effects on their subsequent learning. Therefore, we developed an interview form to investigate teachers' MCK about '$N{\div}0$' and MPCK of the proper ways to teach it and carried out individual interviews with 30 elementary school teachers. The results of the analysis of these interviews reveal that some teachers do not have proper MCK about '$N{\div}0$' and many of them have no idea on how to teach their students who are asking about '$N{\div}0$'. Based on our discussion of the results, we suggest some didactical implications.

A study on the contents related to the plane figures of Joseon-Sanhak in the late 18th century (18세기 후반 조선산학서에 나타난 평면도형 관련 내용 분석)

  • Choi, Eunah
    • The Mathematical Education
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    • v.61 no.1
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    • pp.47-62
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    • 2022
  • This study investigated the contents related to the plane figures in the geometry domains of Joseon-Sanhak in the late 18th century and focused on changes in explanations and calculation methods related to plane figures, the rigor of mathematical logic in the problem-solving process, and the newly emerged mathematical topics. For this purpose, We analyzed , and written in the late 18th century and and written in the previous period. The results of this study are as follows. First, an explanation that pays attention to the figures as an object of inquiry, not as a measurement object, and a case of additional presentation or replacing the existing solution method was found. Second, descriptions of the validity of calculations in some problems, explanations through diagrams with figure diagrams, clear perceptions of approximations and explanations of more precise approximation were representative examples of pursuing the rigor of mathematical logic. Lastly, the new geometric domain theme in the late 18th century was Palsun corresponding to today's trigonometric functions and example of extending the relationship between the components of the triangle to a general triangle. Joseon-Sanhak cases in the late 18th century are the meaningful materials which explain the gradual acceptance of the theoretical and argumentative style of Western mathematics

The study on the Integrated Thinking Ability in Problem Based Learning Program Using Historical Materials in Mathematics (수학 문제중심학습(PBL)에서 융합적 사고력 신장 도모에 관한 의의 - 역사 소재를 중심으로-)

  • Hwang, Hye Jeang;Huh, Nan
    • Communications of Mathematical Education
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    • v.30 no.2
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    • pp.161-178
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    • 2016
  • Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.

Content Analysis of the Mesozoic Geology of the Korean Peninsula in Earth Science II Textbooks: Focusing on Consistency within and among Textbooks, and with Scientific Knowledge (지구과학II 교과서의 한반도 중생대 지질 내용 분석: 교과서 내·교과서 간·과학 지식과의 일치 여부를 중심으로)

  • Jung, Chanmi;Yu, Eun-Jeong;Park, Kyeong-Jin
    • Journal of the Korean earth science society
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    • v.43 no.2
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    • pp.324-347
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    • 2022
  • Geological information on the Korean Peninsula plays a significant role in science education because it provides a basic knowledge foundation for public use and creates an opportunity to learn about the nature of geology as a historical science. In particular, the Mesozoic Era, when the Korean Peninsula experienced a high degree of tectonic activity, is a pivotal period for understanding the geological history of the Korean Peninsula. This study aimed to analyze whether content regarding the geology of the Mesozoic Era are reliably and consistently presented in the 'Geology of the Korean Peninsula' section of Earth Science II textbooks based on the 2015 revised curriculum. Four textbooks for Earth Science II were analyzed, focusing on the sedimentary strata, tectonic movement, and granites of the Mesozoic Era. The analysis items were terms, periods, and rock distribution areas. The consistency within and among textbooks and of textbooks and scientific knowledge was analyzed for each analysis item. Various inconsistencies were found regarding the geological terms, periods, and rock distribution areas of the Mesozoic Era, and suggestions for its improvement were discussed based on these inconsistencies. It is essential to develop educational materials that are consistent with the latest scientific knowledge through collaboration between the scientific and educational communities.