Teaching and Learning Mathematical Symbolism from a Constructivist Perspective

Seo, Kyoung-Hye 이화여자대학교 사범대학 교과교육연구소 2003 East west education Vol.20 No.-

The present study explores the ways of promoting children's understanding of mathematical symbolism from a constructivist perspective. First, this study examines general tenets of constructivism and more specifically, radical and sociocultural constructivist perspectives. Second, based on a constructivist perspective, it reconceptualizes what it means to know mathematical symbolism. Finally, it explores a constructivist approach to teaching mathematical symbolism. In doing so, the present study offers constructivist teaching methods and strategies for meaningful learning of mathematical symbolism.

교육과정 개혁과 학습문화

서경혜,이주연,현성혜,이자연,심수원,김지혜 한국교육과정학회 2007 교육과정연구 Vol.25 No.3

숲 체험에서의 수학탐구활동이 유아의 수학능력에 미치는 영향

이혜경 ( Lee Hye-kyoung ) 숭실대학교 인문과학연구소 2014 인문학연구 Vol.43 No.-

본 연구는 숲 체험에서의 수학탐구활동이 유아의 수학능력에 미치는 영향을 확인하는데 목적이 있다. 따라서 다음과 같은 연구문제를 설정하였다. 1) 숲 체험에서의 수학탐구활동이 유아의 수학능력에 어떠한 영향을 미 치는가? 2) 숲 체험에서의 수학탐구활동이 유아의 수학능력 하위요소(대수, 수와 연산, 기하, 측정)에 어떠한 영향을 미치는가? 본 연구는 경기도 시흥시에 위치한 K유치원에서 무선 표집한 만5세 유아 총 40명을 대상으로 하였으며, 사전검사를 통해 동질성을 확인한 후 실험을 적용하고 사후검사를 실시하였다. 검사도구로는 황해익, 최혜진(2007)의 ‘유아그림수학능력검사’를 사용하였으며, 실험도구로는 숲 체험에서의 수학탐구활동 프로그램을 사용하였다. 숲 체험에서의 수학탐구활동은 실험집단을 대상으로 9주간 총 14회 이루어졌다. 수집된 자료는 SPSS 18.0 프로그램으로 t-test를 실시하여 집단 간 차이 검증을 실시하였다. 본 연구의 결과를 요약하면 다음과 같다. 첫째, 숲 체험에서의 수학탐구활동을 실시한 실험집단이 통제집단보다 수학능력향상에 긍정적인 영향을 미치는 것으로 타나났다. 둘째, 숲 체험에서의 수학탐구활동은 유아수학능력의 하위요소인 수와 연산에서 유의미한 영향을 미치지 못하는 것으로 나타났으나, 대수, 기하, 측정능력 향상에는 긍정적인 영향을 미치는 것으로 나타났다. 본 연구의 결과, 숲 체험에서의 수학탐구활동은 유아의 수학능력향상에 도움이 되는 효과적인 프로그램인 것으로 확인되었다. 따라서 좀 더 장기적인 기간을 두고 수학능력의 요소가 적절히 배치된 숲 체험에서의 수학탐구활동프로그램을 적용해 본다면, 본 실험에서 평균점수는 향상되었으나 통계적으로 유의미한 결과를 얻지 못한 수와 연산에서도 긍정적인 결과를 얻어 유아의 수학능력 향상에 더욱 효과적인 수업전략이 될 것이다. The purpose of this study was to confirm the effects of mathematical inquiry activity in forest experience on young children's mathematical ability. Accordingly, the following research problems were established. First, Which influence does mathematical inquiry activity in forest experience have on young children's mathematical ability? Second, Which influence does mathematical inquiry activity in forest experience have on sub-elements(algebra, number and operation, geometry, measurement) in young children's mathematical ability? The participants of this study were 40 5years old children who were selected randomly at K kindergarten where is located in Siheung-si, Gyeonggi Province. Post-test was carried out by applying it to experiment after confirming homogeneity through pre-test. A test tool was used ‘Pictorial Math Ability Test for Young Children’ by Hwang Hae-ik and Choe Hye-jin(2007). Experimental tool was used a program of mathematical inquiry activity in forest experience. The mathematical inquiry activity in forest experience was composed of totally 14 times for 9 weeks targeting the experimental group. The collected data were carried out t-test with SPSS 18.0 program and were verified group-based difference. The results of this study, they are as follows. First, compared to the control group, the experimental group with execution of mathematical inquiry activity in forest experience was indicated to have positive influence upon improvement in mathematical ability. Second, the mathematical inquiry activity in forest experience was indicated to fail to have significant influence upon number and operation, which is sub-element of young children's mathematical ability, but was shown to have positive influence upon improvement in ability of algebra, geometry, measurement. As a result of this study, the mathematical inquiry activity in forest experience was confirmed to be effective program of being conducive to improvement in young children's mathematical ability. Accordingly, given trying to apply the program of mathematical inquiry activity in forest experience, which is suitably distributed the elements of mathematical ability, with having a little longer term, a positive outcome will be obtained even in number and operation that failed to obtain statistically signifiant result even if the mean score was enhanced in this study, resulting in being more effective teaching strategy for improving young children's mathematical ability.

훈증소독에 따른 서화류의 안료변색 및 pH변화 유무 조사

유혜영,김경수,이용희 국립중앙박물관 1999 박물관보존과학 Vol.1 No.-

문화재의 생물피해 예방에 주로 활용되는 壎蒸消毒[메틸브로마이드와 에틸렌옥사이드 혼합 가스]이 書畵類에 어떤 영향을 미치는지에 대하여 간략한 調査를 실시하였다. 彩色이 있는 조선시대 古地圖와 繪畵 등 13점을 대상으로 훈증소독 前과 後의 顔料의 變色 또는 退色의 有無 그리고 종이의 pH변화 등에 대하여 測定하였다. 그 結果 旣存의 문화재 훈증소독 適用基準[가스의 湯度, 暴露시간 등]을 지킨 조건에서는 안료의 변·퇴색 현상을 발견하지 못했으며 종이의 酸性化에도 영향을 미치지 않는 것으로 확인되었다. This is a brief study on the influence of fumigation (using mixed gas of methyl bromide and ethylene oxide) on old paintings. Fumigation is principally used to prevent biological damage of objects. Thirteen objects, including old colored map from Choson Dynasty and some paintings, were selected for this research. Before and after fumigation, color measurements were made and changes of pH value were measured. The result is that the fumigation did not affect on discoloration of colored area and acidity of paper, as far as the standard of application (such as concentration of gas, exposing time and ect.) of fumigation was kept.

영화적 '소설', 그 이야기다움의 위기와 전이

이혜경 현대문학이론학회 2003 現代文學理論硏究 Vol.0 No.19

As far as we know, the languages of the film and novel can relate to things beyond the real world things somewhere else or at some other time. The composition of the film is not different with the composition of the novel. The languages of the film and novel are much more complex: The communicate ideas more extensively, in much greater detail and with much finer shades of meaning. Often a novelist is strongly committed to a certain story of causerie in the novel. The crazy marriage written by Lee Man-gyo and The memory of Mano Cavina written by Ha Il-ji provide an opportunity to examine the pluralities of style. In one, relied for speed, malapropisms and youthful languages. This wit, every line of it delivered with split-second timing in film; in the other, is highly similar in content to scenario. How can we deal with these narrative problems in the science and information age of today? Of course, the answer is not so simple and the answer dose not lie at the door of the films nor of the novels. Obviously, in a structure where every answer is made on the theories of tradition alone, progress may be difficult to achieve. As long as there exists narrative of screen there will exist novel and film and there will be filmic novel. Two novels are good samples.

중년기 주부의 구매동기에 관한 실증적 연구 : 식기류를 중심으로

강혜경 東義大學校 生活科學硏究所 2001 生活科學論集 Vol.5 No.-

The purpose of this study was 1) to analyze the characteristics of middle-aged wives who were divided into two groups, 2) to investigate purchase motives of middle-aged wives in buying tablewares. Wives aged 40 through 64 residing in Busan were questionnaired. A total of 452 out of 600 were used as data of this study, analyzed based on statistical methods which include frequency, percentile, arithmetic mean, standard deviation, cronbach's α coefficient and ANOVA. The major findings were summarized as follows. First, the higher education and income level was, the higher purchase motives were. Second, the higher level of income satisfaction and sense of comparison was, the more advertising had influence on purchasing motives.

부산지역 아파트 관리비 부과내역서 표준화를 위한 일 고찰

강혜경 동의대학교 생활과학연구소 2000 生活科學論集 Vol.4 No.-

The purpose of this study was to prepare for standardization of the apartment management expenses levy in Pusan. Apartment housing managers and the apartment manager of Pusan Citizen's Coalition for Economic Justice prepared a scheme for standardization with discussion of 10 times. This scheme for standardization was based on the Act of Tenement House

소설과 영화의 이야기 소통

이혜경 현대문학이론학회 2004 現代文學理論硏究 Vol.0 No.22

The film is introducing a new story. In order to view all the perspectives of the story, we should open to other people's points of view, and be willing to listen and exchange ideas. This process is called a communication. From the viewing standpoint, an alternative reading of the film and novel. Although novelists are still trying to learn exactly why novels need a story, film studies show that a story is necessary for reciprocal cooperation of novel and film. Without a story, novels may become restricted to a subject matter. In a theory, there is a difference between the story of film and the story of novel, but practically both are one and the same. Film, 「The Chukje(축제)」 and Lee, Cheongjun's 「The Chukje」 accept each other. A person views a film and a novel with knowledge of the world and a narrative of personal experiences. In the film, to attract and impress spectators, directors use techniques to enhance their credibility, coming across as more susceptive of than they really are and making their stories seen comprehensive and complete. In the novel, all stories must be a certain the original form. 「The Chukje」 and 「The Chukje」have made almost simultaneously. The with each other story is mixed consequently and naturally, with each other it means that has become the cause which is important provides the subject matter of story. The communication of two people became accomplished continuously. Recently Korean films have been international as well as domestic interest. In the light of this fact, stories of films and novels are everywhere.

초등학교 고학년 학생의 과학 탐구능력 측정을 위한 평가 도구 개발

송경혜,이항로,임청환 한국과학교육학회 2004 한국과학교육학회지 Vol.24 No.6

본 연구에서는 평가도구의 구비조건을 갖춘 초등학교 고학년 학생의 과학탐구능력을 측정할 수 있는 과학탐구 능력 평가도구를 개발하고자 하였다. 평가도구를 구성하는 문항은 R&D 방법에 의해 개발되었으며, 2차례에 걸친 과학교육 전문가의 점검과 2번의 현장 검증을 통해 문항을 수정ㆍ보완하였다. 각 평가 문항은 교과 내용에 대한 지식이 없어도 해결할 수 있는 범교과적인 문항으로 제작하여 과학탐구능력의 하위 요소들을 측정하고자 하였다. SAPA 교육과정과 제7차 과학과 교육과정에서 제시한 과학탐구과정 요소를 근간으로 관찰, 분류, 측정, 예상, 추리, 문제인식, 변인통제, 자료해석, 결론도출, 실험설계의 10가지 하위 요소들을 선정하고 각 요소에 대한 조작적 정의와 평가 목표를 설정하였다. 물질과 에너지, 생명과 환경, 지구와 순환의 3가지 내용 영역의 소재를 중심으로 총 30문항을 개발하였다. 개발된 문항을 과학교육 전문가에게 2회 의뢰하여 타당도, 객관도, 문항의 명료성을 점검 받았으며 2번의 현장 검증을 통해 신뢰도, 변별도, 난이도를 검증하였다. 그 결과 타당도 91.6%, 신뢰도 지수 Cronbach α값 0.79, 객관도 93.3%, 변별도 지수 0.30, 난이도 지수 66.1%로 나타났다. 위와 같은 값들은 평가도구가 갖추어야 할 구비조건의 허용 범위내에 있는 것으로 보아 본 연구에서 개발한 과학탐구능력 평가도구는 양호한 것으로 볼 수 있다. 따라서 본 연구에서 개발한 과학탐구능력 평가도구는 초등학생들의 과학탐구능력 성취 수준의 진단, 과학과 교육과정과 교수?학습 자료 및 과학과 교수ㆍ학습 방법의 과학탐구능력 반영 수준을 평가하는 도구로도 이용될 수도 있을 것이다. The purpose of this study is to develop a valid and reliable evaluating instrument for elementary school fifth and sixth graders. The instrument is developed through R&D procedure, which includes two checks of science specialist and two field trials of the instrument. Evaluating items are content-free for each science inquiry skill. Each science inquiry element is based on SAPA and the 7th curriculum. This study has selected 10 science inquiry skills(observing, classifying, measuring, predicting, inferring, recognizing of a problem, controlling variables, interpreting data, drawing a conclusion, designing an experiment), formulated a clear definition of the elements of science inquiry skills, and established the objectives of evaluation. The content areas are divided into three categories, material and energy, life and environment, and the earth and circulation. Each category contains 10 items. So the instrument consists of 30 items. The content validity of items, objectivity of the scoring keys, and clarity of the items has been checked twice by specialists in science education. At the same time, two field trials were performed to produce the reliability of the instruments, discrimination index, and item difficulty index. The instrument has the content validity is 91.6%, reliability 0.79, objectivity 93.3%, discrimination index 0.30, and item difficulty index 66.1%.

장애아동을 위한 특수교육공학의 활용 및 지원방안

강혜경,박은혜 국립특수교육원 2002 특수교육연구 Vol.9 No.2

특수교육분야에 있어서 컴퓨터 및 테크놀로지는 장애를 보완하고 보조하며, 직·간접적인 교육의 도구로 사용될 수 있는 잠재력을 가지고 있음에도 불구하고, 우리 나라의 경우 특수교육진흥법상에서는 치료교육의 항목정도로 이를 대신하고 있다고 볼 수 있을 것이며, 교육 외의 분야에서 장애인의 기술 정보화에 관련된 제도에 있어서도 많은 한계가 있다. 특수교육공학이란 보조 공학적인 접근을 포함하여 지식이나 기능의 부족으로 인해 일상적인 학습이나 활동에 제한을 받는 모든 교육대상자들에게 그들의 실제적인 목적을 달성하기 위해 필요한 모든 장치나 도구 및 그에 관련된 서비스 등까지 매우 포괄적인 범위에까지 이른다고 할 수 있다. 본 연구에서는 이를 바탕으로 특수교육의 공학적 접근성에 관련되어 새로이 소개된 보편적 설계의 개념과 보편적 학습설계의 개념을 논하였으며, 미국과 우리 나라의 정보화 관련법안의 비교 분석을 통해 우리 나라의 현재 특수교육과 관련된 정보화사업 지원체제를 간략히 살펴보고, 실제 교육현장에서의 장애아동을 위한 공학적 적용과 이를 위해 선행되어야할 연구 및 지원의 과제에 대하 논의하였다. The purpose of this study was to review the current literatures about the technological support for the education of students with disabilities and to find out the important issues in actual implementation in special education settings and how to improve and support those technological application for more effective special education. After reviewing related literatures in primary journals and books in special education, following issues were selected and discussed: concept an definitions of related terminologies, comparison of legislative support between the United States and Korea, technology usages in different educational domains, and how to improve and support special education technology implementation. Implications for Korean special education and suggestions for future research were discussed.