• Title/Summary/Keyword: 수학적 문제해결력

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Development and Effectiveness of STEAM Outreach Program based on Mathematics (수학을 기반으로 하는 STEAM 아웃리치 프로그램 개발과 효과성)

  • Hwang, Sunwook;Kim, Namjun;Son, Jeongsuk;Song, Wonhee;Lee, Kapjung;Choi, Seongja;Lew, Kyounghoon
    • Communications of Mathematical Education
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    • v.31 no.4
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    • pp.389-407
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    • 2017
  • Many researches related to STEAM education have been actively conducted for developing elementary and secondary school students' comprehensive and logical thinking ability in relation to creativity education in Korea. Each sub factor of STEAM education requires creative thinking with the ability to be merged together to solve problems as integrated or combined forms in the fields of Science, Technology, Engineering, Arts, and Mathematics. Also, these STEAM activities and experiences should be carried out at various places outside the classroom in school. Although various educational programs to enhance mathematical creativity have been emphasized for elementary and secondary school students, recent tendency to focus on classroom learning in the school makes it difficult to develop creative thinking ability of students. This research is mainly based on the result of the project "Development and Administration of STEAM Outreach Program in 2016" supported by KOFAC(Korea Foundation for the Achievement of Science & Creativity). The purpose of this research is to develop a STEAM outreach program including students' activity books, teachers' manuals and administration manual that can maximize STEAM-related interest of students, and to provide a chance for elementary and secondary school students to experience creative thinking based on sub factors of STEAM. The STEAM competency total score and the perception of convergence education were significantly increased for all students participating this program, but some sub factors showed different result by school levels. The STEAM outreach program developed by this study is designed to emphasize STEAM education especially 'based on' mathematics in order to provide students with the opportunity to experience more interest in the field of mathematics and will be able to provide an interesting creative STEAM outreach program that utilizes a variety of activities which, we expect, would help students to consider their career in the future.

Assessment Study on Educational Programs for the Gifted Students in Mathematics (영재학급에서의 수학영재프로그램 평가에 관한 연구)

  • Kim, Jung-Hyun;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.235-257
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    • 2010
  • Contemporary belief is that the creative talented can create new knowledge and lead national development, so lots of countries in the world have interest in Gifted Education. As we well know, U.S.A., England, Russia, Germany, Australia, Israel, and Singapore enforce related laws in Gifted Education to offer Gifted Classes, and our government has also created an Improvement Act in January, 2000 and Enforcement Ordinance for Gifted Improvement Act was also announced in April, 2002. Through this initiation Gifted Education can be possible. Enforcement Ordinance was revised in October, 2008. The main purpose of this revision was to expand the opportunity of Gifted Education to students with special education needs. One of these programs is, the opportunity of Gifted Education to be offered to lots of the Gifted by establishing Special Classes at each school. Also, it is important that the quality of Gifted Education should be combined with the expansion of opportunity for the Gifted. Social opinion is that it will be reckless only to expand the opportunity for the Gifted Education, therefore, assessment on the Teaching and Learning Program for the Gifted is indispensible. In this study, 3 middle schools were selected for the Teaching and Learning Programs in mathematics. Each 1st Grade was reviewed and analyzed through comparative tables between Regular and Gifted Education Programs. Also reviewed was the content of what should be taught, and programs were evaluated on assessment standards which were revised and modified from the present teaching and learning programs in mathematics. Below, research issues were set up to assess the formation of content areas and appropriateness for Teaching and Learning Programs for the Gifted in mathematics. A. Is the formation of special class content areas complying with the 7th national curriculum? 1. Which content areas of regular curriculum is applied in this program? 2. Among Enrichment and Selection in Curriculum for the Gifted, which one is applied in this programs? 3. Are the content areas organized and performed properly? B. Are the Programs for the Gifted appropriate? 1. Are the Educational goals of the Programs aligned with that of Gifted Education in mathematics? 2. Does the content of each program reflect characteristics of mathematical Gifted students and express their mathematical talents? 3. Are Teaching and Learning models and methods diverse enough to express their talents? 4. Can the assessment on each program reflect the Learning goals and content, and enhance Gifted students' thinking ability? The conclusions are as follows: First, the best contents to be taught to the mathematical Gifted were found to be the Numeration, Arithmetic, Geometry, Measurement, Probability, Statistics, Letter and Expression. Also, Enrichment area and Selection area within the curriculum for the Gifted were offered in many ways so that their Giftedness could be fully enhanced. Second, the educational goals of Teaching and Learning Programs for the mathematical Gifted students were in accordance with the directions of mathematical education and philosophy. Also, it reflected that their research ability was successful in reaching the educational goals of improving creativity, thinking ability, problem-solving ability, all of which are required in the set curriculum. In order to accomplish the goals, visualization, symbolization, phasing and exploring strategies were used effectively. Many different of lecturing types, cooperative learning, discovery learning were applied to accomplish the Teaching and Learning model goals. For Teaching and Learning activities, various strategies and models were used to express the students' talents. These activities included experiments, exploration, application, estimation, guess, discussion (conjecture and refutation) reconsideration and so on. There were no mention to the students about evaluation and paper exams. While the program activities were being performed, educational goals and assessment methods were reflected, that is, products, performance assessment, and portfolio were mainly used rather than just paper assessment.

Teaching and Learning of University Calculus with Python-based Coding Education (파이썬(Python) 기반의 코딩교육을 적용한 대학 미적분학의 교수·학습)

  • Park, Kyung-Eun;Lee, Sang-Gu;Ham, Yoonmee;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.163-180
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    • 2019
  • This study introduces a development of calculus contents which makes to understand the main concepts of calculus in a short period of time and to enhance problem solving and computational thinking for complex problems encountered in the real world for college freshmen with diverse backgrounds. As a concrete measure, we developed 'Teaching and Learning' contents and Python-based code for Calculus I and II which was used in actual classroom. In other words, the entire process of teaching and learning, action plan, and evaluation method for calculus class with Python based coding are reported and shared. In anytime and anywhere, our students were able to freely practice and effectively exercise calculus problems. By using the given code, students could gain meaningful understanding of calculus contents and were able to expand their computational thinking skills. In addition, we share a way that it motivated student activities, and evaluated students fairly based on data which they generated, but still instructor's work load is less than before. Therefore, it can be a teaching and learning model for college mathematics which shows a possibility to cover calculus concepts and computational thinking at once in a innovative way for the 21st century.

A Case Study of Service Education Activities Applying Mathematics into a Place-Based Earth Science Program: Measuring the Earth's Size (수학과 연계한 장소기반 지구과학 프로그램에 대한 교육봉사활동 사례 연구: 지구의 크기 측정)

  • Yu, Eun-Jeong;Kim, Kyung Hwa
    • Journal of the Korean earth science society
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    • v.40 no.5
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    • pp.518-537
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    • 2019
  • This study examined the implications of a place-based earth science program integrated with Mathematics. 11 pre-service earth science teachers and 22 middle school students participated in the service education activities of earth science for 30 hours focusing on the measurement of the earth's size through earth science experiments as part of the middle school curriculum. In order to minimize errors that may occur during the earth's size measurement experiments using Eratosthenes's shadows length method of the ancient Greek era, the actual data were collected after triangulation ratios were conducted in the locations of two middle schools: one in remote metropolitan and the other in rural area. The two schools' students shared the final estimate result. Through this process, they learned the mathematical method to express the actual data effectively. Participants, experienced the importance and difficulty of the repetitive and accurate data acquisition process, and also discussed the causes of errors included in the final results. It implies that a Place-Based Earth Science Program activity can contribute to students' increased-understanding of the characteristics of earth science inquiry and to developing their problem solving skills, thinking ability, and communication skills as well, which are commonly emphasized in science and mathematics in the 2015 reunion curriculum. It is expected that a place-based science program can provide a foundation for developing an integrated curriculum of mathematics and science.

Analysis of AI interview data using unified non-crossing multiple quantile regression tree model (통합 비교차 다중 분위수회귀나무 모형을 활용한 AI 면접체계 자료 분석)

  • Kim, Jaeoh;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.33 no.6
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    • pp.753-762
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    • 2020
  • With an increasing interest in integrating artificial intelligence (AI) into interview processes, the Republic of Korea (ROK) army is trying to lead and analyze AI-powered interview platform. This study is to analyze the AI interview data using a unified non-crossing multiple quantile tree (UNQRT) model. Compared to the UNQRT, the existing models, such as quantile regression and quantile regression tree model (QRT), are inadequate for the analysis of AI interview data. Specially, the linearity assumption of the quantile regression is overly strong for the aforementioned application. While the QRT model seems to be applicable by relaxing the linearity assumption, it suffers from crossing problems among estimated quantile functions and leads to an uninterpretable model. The UNQRT circumvents the crossing problem of quantile functions by simultaneously estimating multiple quantile functions with a non-crossing constraint and is robust from extreme quantiles. Furthermore, the single tree construction from the UNQRT leads to an interpretable model compared to the QRT model. In this study, by using the UNQRT, we explored the relationship between the results of the Army AI interview system and the existing personnel data to derive meaningful results.

Effect of Children's Mathematical Problem Solving Ability and Their Self-Esteem through Havruta Method Using Math Storybooks (수학동화를 활용한 하브루타 수업이 유아의 수학적 문제 해결력 및 자아존중감에 미치는 영향)

  • Lim, Kyeong Mi;Ahn, Hyojin
    • Human Ecology Research
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    • v.55 no.2
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    • pp.193-204
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    • 2017
  • This study examines the effect of 5-year-old children's mathematical problem solving ability and their self-esteem based on the Havruta method using math storybooks. The subjects of this study were 40 5-year-old students attending a kindergarten in the Incheon area: 20 students comprised the treatment group and 20 students comprised the control group. An instrument originally created by Ward (1993) but adapted by Hwang (1997) and later modified by Ryu (2003) was used to test the children's mathematical problem solving abilities. A modified version (Kim, 1997) of an instrument developed by Harter and Pike (1984) was used to measure children's self-esteem. Test results were analyzed using SPSS ver. 18.0 for Windows. The findings are as follows. First, the treatment group that had Havruta classes utilizing math story books was found to improve significantly more than the control group in their mathematical problem solving ability. Havruta classes had positive effects on children's mathematical problem solving abilities. Second, there was no significant difference found between the two groups in terms of self-esteem when the children's self-esteem was compared after Havruta classes that utilize math storybooks. It may not be possible to see immediate changes in children's self-esteem because positive parent and teacher feedback had the strongest influence on 5-year-old children's self-esteem, as opposed to self-learning. The results of this study provide meaningful basic data for Havruta classes that focus on questions and discussions through math story books to increase children's mathematical problem solving abilities in the child education field.

Design and Implementation of a Translator for Translating Java Bytecode into MSIL (자바 Bytecode 에서 MSIL 로의 변환을 위한 번역기의 설계 및 구현)

  • Min, Jung-Hyun;Oh, Se-Man
    • Proceedings of the Korea Information Processing Society Conference
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    • 2001.04b
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    • pp.743-746
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    • 2001
  • 자바는 객체지향 언어이고, 한번 작성된 프로그램은 자바 가상 기계가 있는 모든 곳에서 수정없이 실행될 수 있기 때문에 소프트웨어의 개발과 유지 보수에 많은 장점을 가진 언어이다. 이러한 특징으로 인하여 개발되는 제품들이 자바로 구현되는 경우가 많다. 그러나 아직 대다수 소프트웨어 개발자들은 주로 C 언어나 C++ 언어를 사용하고 있으며, 최근에는 C#이라는 언어를 사용하고 있다. 자바가 플랫폼에 독립적인 장점은 가지고 있지만, 다수의 개발자 및 사용자가 마이크로소프트 윈도우 운영체제를 사용하고 있다는 것을 감안한다면 그리 탁월한 장점만은 될 수 없다. 또한, 최근의 개발동향이 COM(Component Object Model)을 지향하고 있고, 이는 더 이상 개발자들에게 프로그래밍 언어에 구애를 받지 않고 오직 개발 제품에 대한 집중력을 가질 수 있는 환경을 제공할 수 있다면, 그 개발 효율에 있어서 상당한 이점을 가질 수 있다는 의미이다. 따라서, COL(Component Object Language)을 기반으로 하고 있는 C# (C sharp)언어를 사용하여 개발을 함에 있어서 자바의 언어를 C# 언어로 변환할 수 있다면, 신생 언어인 C#에 있어서 기존 자바로 되어 있는 유용한 개발 제품들을 보다 효율적으로 이용할 수 있을 것이다. 본 논문에서는 두 언어(자바, C#)를 하나로 잇는 교량(bridge)역할을 할 수 있도록 자바의 중간 언어인 Bytecode를 C#의 중간 언어인 MSIL(Microsoft Intermediate Language)로 바꿀 수 있는 중간 언어 번역기를 설계하고 구현하였다. 이를 위한 방법으로는 먼저, 자바 Bytecode 와 MSIL 의 어셈블리 형태에서의 명령어 매칭과정을 매핑 테이블을 이용하여 처리하였고, MSIL 에서 자바 Bytecode 의 함수와 같은 기능을 하는 메소드의 변환을 위하여 마크로 변환기법을 이용하여 해결하였다.I/O ratio 2.5). BTEX의 상대적 함량도 실내가 실외보다 높아 실내에도 발생원이 있음을 암시하고 있다. 자료 분석결과 유치원 실내의 벤젠은 실외로부터 유입되고 있었고, 톨루엔, 에틸벤젠, 크실렌은 실외뿐 아니라 실내에서도 발생하고 있었다. 정량한 8개 화합물 각각과 총 휘발성 유기화합물의 스피어만 상관계수는 벤젠을 제외하고는 모두 유의하였다. 이중 톨루엔과 크실렌은 총 휘발성 유기화합물과 좋은 상관성 (톨루엔 0.76, 크실렌, 0.87)을 나타내었다. 이 연구는 톨루엔과 크실렌이 총 휘발성 유기화합물의 좋은 지표를 사용될 있고, 톨루엔, 에틸벤젠, 크실렌 등 많은 휘발성 유기화합물의 발생원은 실외뿐 아니라 실내에도 있음을 나타내고 있다.>10)의 $[^{18}F]F_2$를 얻었다. 결론: $^{18}O(p,n)^{18}F$ 핵반응을 이용하여 친전자성 방사성동위원소 $[^{18}F]F_2$를 생산하였다. 표적 챔버는 알루미늄으로 제작하였으며 본 연구에서 연구된 $[^{18}F]F_2$가스는 친핵성 치환반응으로 방사성동위원소를 도입하기 어려운 다양한 방사성의 약품개발에 유용하게 이용될 수 있을 것이다.었으나 움직임 보정 후 영상을 이용하여 비교한 경우, 결합능 변화가 선조체 영역에서 국한되어 나타나며 그 유의성이 움직임 보정 전에 비하여 낮음을 알 수 있었다. 결론: 뇌활성화 과제 수행시에 동반되는 피험자의 머리 움직임에 의하여 도파민 유리가 과대평가되었으며 이는 이 연구에서 제안한 영상정합을 이용한 움직임 보정기법에 의해서 개선되었다. 답이 없는 문제, 문제 만들기, 일반화가 가능한 문제 등으로 보고, 수학적 창의성 중 특히 확산적 사고에 초점을 맞추어 개방형 문제가 확산적 사고의 요소인 유창성, 독창성, 유연성 등에 각각 어떤 영향을 미치는지 20주의 프로그램을 개발, 진행하여 그 효과를

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Performance Evaluation of a Switch Router with Output-Buffer (출력 버퍼를 장착한 스위치 라우터의 성능 분석)

  • Shin Tae-zi;Yang Myung-kook
    • Journal of KIISE:Information Networking
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    • v.32 no.2
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    • pp.244-253
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    • 2005
  • In this paper, a performance evaluation model of the switch router with the multiple-buffered crossbar switches is proposed and examined. Buffered switch technique is well known to solve the data collision problem of the crossbar switch. The proposed evaluation model is developed by investigating the transfer patterns of data packets in a switch with output-buffers. The performance of the multiple-buffered crossbar switch is analyzed. Steady state probability concept is used to simplify the analyzing processes. Two important parameters of the network performance, throughput and delay, are then evaluated. To validate the proposed analysis model, the simulation is carried out on a network that uses the multiple buffered crossbar switches. Less than $2\%$ differences between analysis and simulation results are observed. It is also shown that the network performance is significantly improved when the small number of buffer spaces is given. However, the throughput elevation is getting reduced and network delay becomes increasing as more buffer spaces are added in a switch.

Two-year Follow-Up Study on Effects of STEAM Education Program Based on Physical Computing (2년간의 추적 연구를 통한 Physical Computing 기반의 STEAM 프로그램의 효과)

  • Kim, Sug Hee;Yu, Heon Chang
    • The Journal of Korean Association of Computer Education
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    • v.17 no.2
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    • pp.77-86
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    • 2014
  • By PISA 2007, TIMSS 2011, Korean high school students had high academic achievement to science and mathematics, while they had low attitude. Prospective college students are increasingly avoiding natural science and engineering. Moreover, the opportunities to learn to computer science in middle and high school are disappeared rapidly. The necessity of STEAM program based on Physical computing arise under these situation. Therefore, we developed STEAM program and studied the effects of the program in 2012. The result showed that students' scientific interests and attitude, scientific problem solving ability, scientific creative problem solving ability, personality test for children, and satisfaction of school life were enhanced. This study is follow-up study for the same students who improved every domain of the measurements. They were administerd pre-test at start of 2012, post-test at end of 2012, and delayed post-test at the end of 2013, on same test. The result of the study showed that only attitude to Scientific Inquiry was enhanced, but there was no significant result on the other domain of the test in comparison with start of 2012. But this result demonstrate the effect of STEAM education conversely.

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A study on the characteristics of intelligent sawing system for band saw (띠톱기계의 스마트 톱 절삭 시스템의 특성에 관한연구)

  • LUO, luPing;DING, zelin;DING, shengxia;JIANG, Ping;FAN, li;XIAO, leihua;PAN, bosong;An, Boyoung;Eum, Younseal;Han, Changsoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.2
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    • pp.195-204
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    • 2020
  • To help solve the problems of how to set the optimal sawing force and the optimal controller parameters for different sawing conditions, a mathematical model of a proposed sawing system was established according to the principle of sawing force control. The conventional PID control method was then used for further research of the closed-loop control of the sawing force. Finally, through simulation and experimental research, the influence rule of the controller parameters and sawing load on the control performance and the relationships between the sawing width and controller parameters (proportion coefficient) and the sawing force setting value were obtained, from which a system scheme for intelligent sawing control of a band sawing machine was proposed. The research shows that the sawing efficiency of the intelligent sawing system was 18.1 (48%) higher than that of the original sawing system when sawing a grooved section sawing material, which verifies the good control effect of the proposed scheme.