• Title/Summary/Keyword: 수학적 지식

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A study on relation between student factors and achievements in computing education for computer science non-majors (컴퓨터 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취 관련 연구)

  • Kim, Minja;Kim, Hyeoncheol
    • Proceedings of The KACE
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    • 2017.08a
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    • pp.235-239
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    • 2017
  • 학습자는 교육의 3요소인 교육자, 학습자, 교육내용의 하나로 학습자 특성과 이가 학업성취에 미치는 영향을 이해하는 것이 중요하다. 컴퓨터 비전공자를 대상으로 하는 컴퓨팅 교육이 점점 활발해지고 있다. 비전공자 컴퓨팅 교육이라는 맥락에서 학습자 특성과 학업성취의 관계를 이해할 필요가 있다. 본 연구는 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취의 관계를 실증적으로 이해하기 위해 실행되었다. 학습자 특성을 이전경험/사전지식, 인지적 요인, 심리적 요인의 3가지로 분류하였고, 연구대상을 3그룹으로 설정, 다양한 하위 요소 데이터를 수집하였다. 그 결과, 대상 1의 경우 학습스타일(순차적: 부적상관, 통합적: 정적상관), 대상 2는 자기 효능감(사후), 대상 3은 수학 사전지식, 컴퓨팅과 전공의 연계성 인식, 정보적 사고에 대한 인식이 학업성취와 유의미한 상관관계가 있었다. 하지만 상관성이 모두 0.5이하로 크지 않고, 자기 효능감과 전공 연계성 인식의 경우 대상에 따라 결과가 상이하였다. 향후 연구에서 다루지 않은 변수에 대한 연구와 상관관계가 밝혀진 변수만을 대상으로 인과성을 확인하는 연구가 필요하다. 또한 현상학적 관점으로 학습자 특성을 고찰할 필요가 있다.

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An analysis of errors in problem solving of the function unit in the first grade highschool (고등학교 1학년 함수단원 문제해결에서의 오류에 대한 분석)

  • Mun, Hye-Young;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.277-293
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    • 2011
  • The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

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Analysis of the Causes of Decrease in the Number of Students Taking Chemistry I in the CSAT by Analyzing the Chemistry I Question in the CSAT and the Recognition Survey of Students and Teachers (대학수학능력시험 화학 I 문항 분석 및 학생과 교사의 인식 조사를 통한 화학 I 응시자 감소 원인 분석)

  • Kim, Hyunkyoung;Bae, Sungwoo;Park, Jongseok
    • Journal of the Korean Chemical Society
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    • v.61 no.6
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    • pp.378-387
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    • 2017
  • In this study, we analyzed the causes of decrease in the number of students taking Chemistry ? in the College Scholastics Ability Test (CSAT) by analyzing the adequacy of the Chemistry I question in the CSAT and the recognition survey of students and teachers about the Chemistry I choice. We analyzed some questions in Chemistry I of the CSAT from the year 2014 to 2016. The questions were analyzed to determine whether they were appropriate to the curriculum content, achievement standard, and achievement level. The target of the survey for perception was 452 senior high school students and 68 science teachers. The result of the study showed that the questions in Chemistry I are somewhat difficult compared to the depth and achievement level required by the curriculum, and it also requires mathematical thinking ability. Students recognized the mathematical thinking and complex mathematical skills are needed to solve problems in Chemistry I. Teachers also thought that the choice of Chemistry I is unfavorable in aspect of meeting the minimum academic ability standard, and accordingly, they did not actively recommend students to take Chemistry I. Moreover, most of the teachers recognized that it is necessary to improve the direction of writing questions for Chemistry I. Therefore, setting questions that can be solved using chemical knowledge, not mathematical ability need to be addressed.

A Study on Evaluation in College Mathematics Education in the New Normal Era (뉴노멀(New Normal) 시대 대학수학교육에서의 과정중심 PBL 평가 - '인공지능을 위한 기초수학' 강좌 사례를 중심으로 -)

  • Lee, Sang-Gu;Ham, Yoonmee;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.34 no.4
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    • pp.421-437
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    • 2020
  • Problem/Project based learning(PBL) is a student-centered teaching method in which students collaboratively solve problems and reflect their experiences. According to the results of PBL study and the experiences of the authors in PBL instruction, this paper introduced the necessities, output and significance of learning process PBL evaluation method and sums up our PBL evaluation process. The issue of appropriate and fair evaluation has been raised in untact (non-contact) university mathematics education due to the novel coronavirus (COVID-19) of the year 2020. To this end, when we had the course on for the summer semester held at S University in the summer of 2020. To ensure the fairness in evaluation and to improve the quality of our college math education, the PBL evaluation method was fully adapted. As a result, most of the students who took the lecture have learned a wide range of related knowledge without a single exception, and students agreed it is an ideal, fair, rational, and effective evaluation method applicable to other online courses in the era of untact education. This case was summarized in detail and introduced in this paper.

An effect coming to the problem solving ability from the problem posing activity by presenting the problem situation (문제 상황 제시에 따른 문제만들기 활동이 문제해결력에 미치는 영향)

  • Kim Jun Kyum;Lim Mun Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.5 no.1
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    • pp.77-98
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    • 2001
  • This study has a purpose to find out how the problem posing activity by presenting the problem situation effects to the mathematical problem solving ability. It was applied in two classes(Experimental group-35, Controlled group-37) of the fourth grade at ‘D’ Elementary school in Bang Jin Chung nam and 40 Elementary school teachers working in Dang Jin. The presenting types of problem situation are the picture type, the language type, the complex type(picture type+ language type), the free type. And then let them have the problem posing activity. Also, We applied both the teaching-teaming plan and practice question designed by ourself. The results of teaching and learning activities according to the type of problem situation presentation are as follows; We found out that the learning activity of the mathematical problem posing was helpful to the students in the development of the mathematical problem solving ability. Also, We found out that the mathematical problem posing made the students positively change their attitude and their own methods for mathematical problem solving.

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An Analysis of Pre-Service Teachers' Cognition in Curriculum for Developing their Discursive Competency (담론적 역량 개발을 위한 교사교육 프로그램에서 예비수학교사의 인식 분석)

  • Kim, Dong-Joong;Choi, Sang-Ho;Lee, Ju-Hui
    • Communications of Mathematical Education
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    • v.34 no.2
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    • pp.41-68
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    • 2020
  • The purpose of this study is to analyze the cognition of per-service teachers, who experienced a teacher education process for developing their discursive competency, about relations between class plan and class practice as well as discursive competency required in class process. For this purpose, 15 pre-service teachers participated in the course of mathematics teaching theory for developing discursive competency and their final projects including the process of analysing their own teaching discourse after actually teaching middle or high school students were collected as data and analyzed. Results show that they realized that there were differences between class plan and class practice after having experienced unexpected teaching and learning situations, recognized the importance of discursive competency learned from the course, and reflected on their discursive competency in conjunction with their classes. These results imply that the course contributed to pre-service teachers' cognitions of the existential possibility of discursive competency. which helps to develop a teaching method combining teachers' knowledge and practice, the importance of discursive competency, and the need for developing it. The course also provided practical ideas about a teacher education program to develop prospective teachers' discursive competency

A Study on Construction of Multiplication Knowledge with Low Reasoning Ability (추론 능력이 열등한 초등학교 2학년 학생의 곱셈 지식 구성 능력에 관한 연구)

  • Lee, So-Min;Kim, Jin-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.47-70
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    • 2009
  • The purpose of this research was to confirm one of constructivists' assumptions that even children 조o are with low reasoning ability can make reflective abstracting ability and cognitive structures by this ability can make generation ability of new knowledge by themselves. To investigate the assumption, learner-centered instruction were implemented to 2nd grade classroom located in Suseong Gu, DaeGu City and with lesson plans which initially were developed by Burns and corrected by the researchers. Recordings videoed using 2 video cameras, observations, instructions, children's activity worksheets, instruction journals were analyzed using multiple tests for qualitative analysis. Some conclusions are drawn from the results. First, even children with low reasoning ability can construct mathematical knowledge on multiplication in their own. ways, Thus, teachers should not compel them to learn a learning lesson's goals which is demanded in traditional instruction, with having belief they have reasoning ability. Second, teachers need to have the perspectives of respects out of each child in their classroom and provide some materials which can provoke children's cognitive conflict and promote thinking with the recognition of effectiveness of learner-centered instruction. Third, students try to develop their ability of reflective and therefore establish cognitive structures such as webs, not isolated and fragmental ones.

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A Study on Efficient Geometry Education which using the Graphic supporting Tool (그래픽을 활용한 효과적인 도형 교육에 관한 연구)

  • Choi, Ga-Hyun;Seo, Dong-Su;Yoon, Jung-Sun
    • Proceedings of the Korea Contents Association Conference
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    • 2014.11a
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    • pp.391-392
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    • 2014
  • 지식과 정보가 다양하고 급속하게 변하는 정보화 시대를 살아가는 우리에게 필요한 것은 주어진 상황에 빠르게 대처하는 창의적인 사고이다. 이런 능력을 신장하기 위해서는 교육과정에도 창의력 신장을 위한 방법들이 모색되어야 한다. 본 연구는 초등학교 수학과 교육 과정의 한 부분인 '도형' 영역의 내용을 컴퓨터를 이용해 수업할 수 있도록 교육 지원 도구로 구현하였다.

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Geometric Modeling, Finite Element Analysis, and Shape Optimization of Shell Structures (쉘의 기하학적 모델링과 유한요소 해석, 형상 최적설계)

  • 조맹효;노희열;김현철
    • Computational Structural Engineering
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    • v.17 no.1
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    • pp.25-33
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    • 2004
  • 쉘은 곡률을 가지는 얇은 구조물로 정의된다. 자동차를 비롯하여 항공기, 우주 발사체, 인공위성, 선박 등의 운송수단과 건축물의 돔(done)과 같이 공간을 효율적으로 활용하고 동시에 경량화를 확보할 필요가 있는 경우에 쉘은 널리 사용되는 구조물이다. 쉘 이론은 1960년대까지는 전문가의 영역에 속해 있는 학문이었고 구조역학을 전공한 사람들에게도 다루기 어 려운 구조물로 인식되어 왔다. 실제 다양한 쉘의 거동은 역학과 수학의 폭넓은 지식을 요구하고 학문으로서도 그 속에서 평생을 보낼 만큼 매력적이고 어려운 부분들을 포함하고 있다고 생각된다.(중략)

서평 : 윤기중 저, 수리통계학, 서울 : 박영사, 1974

  • 백운붕
    • Journal of the Korean Statistical Society
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    • v.3 no.1
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    • pp.65-66
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    • 1974
  • 통계학의 수리론을 전개한 우리의 저서가 별로 없는 터에 윤기중교수의 '수리통계학'이 박영사를 통하여 간행되었다. 이책은 미적분에 관한 수학지식으로 능히 독파할 수 있도록 순차적으로 차분하게 기술되어 있다. 집합론의 개념에서부터 시작하여 확률론의 기초사항을 친절하게 설명하고 연속확률변수의 분포, 확률표본, 점추정, 다변량정규분포, 각종 통계량의 분포, 통계적 가설검정, 구간추정, 그리고 끝으로 회귀와 상관분석에 이르기까지 각종항목에 걸쳐서 통계학이론이 빠짐없이 기술되어 있다.

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