• Title/Summary/Keyword: 개념그림

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An Analysis of Students' Understanding of Mathematical Concepts and Proving - Focused on the concept of subspace in linear algebra - (대학생들의 증명 구성 방식과 개념 이해에 대한 분석 - 부분 공간에 대한 증명 과정을 중심으로 -)

  • Cho, Jiyoung;Kwon, Oh Nam
    • School Mathematics
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    • v.14 no.4
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    • pp.469-493
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    • 2012
  • The purpose of this study is find the relation between students' concept and types of proof construction. For this, four undergraduate students majored in mathematics education were evaluated to examine how they understand mathematical concepts and apply their concepts to their proving. Investigating students' proof with their concepts would be important to find implications for how students have to understand formal concepts to success in proving. The participants' proof productions were classified into syntactic proof productions and semantic proof productions. By comparing syntactic provers and semantic provers, we could reveal that the approaches to find idea for proof were different for two groups. The syntactic provers utilized procedural knowledges which had been accumulated from their proving experiences. On the other hand, the semantic provers made use of their concept images to understand why the given statements were true and to get a key idea for proof during this process. The distinctions of approaches to proving between two groups were related to students' concepts. Both two types of provers had accurate formal concepts. But the syntactic provers also knew how they applied formal concepts in proving. On the other hand, the semantic provers had concept images which contained the details and meaning of formal concept well. So they were able to use their concept images to get an idea of proving and to express their idea in formal mathematical language. This study leads us to two suggestions for helping students prove. First, undergraduate students should develop their concept images which contain meanings and details of formal concepts in order to produce a meaningful proof. Second, formal concepts with procedural knowledge could be essential to develop informal reasoning into mathematical proof.

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A study on linguistic the validity of characteristics and picture test inventories to persons with developmental disabilities (발달장애인의 언어적 특성과 그림검사의 타당도 연구)

  • Lee, Dal-Yob;Noh, Im-Dae;Lee, Seung-Wook
    • 한국사회복지학회:학술대회논문집
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    • 2002.04a
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    • pp.497-531
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    • 2002
  • It is very important for rehabilitation to deal with psychological aspects of persons with disabilities, as well as efforts improving the institutional and environmental conditions. A majority of persons with severe disabilities in the situation of Korea have difficulty in having and maintaining a job. Work should and would be a source of self-respect and material well-being in this modern society. Therefore, Vocational rehabilitation services are measures in restoration of family functions and social participation of persons with disabilities. This study aims at investigating linguistic characteristics and the validity of constructional concepts of picture interest test Inventories that have been utilized for the segregated groups of people such as persons with developmental disabilities. Picture interest test inventories seemed to be valid for measuring psychological traits and characteristics of people with mental retardation, and this finding can be extended to the group of other developmental disabilities, such as learning disabilities and mild/moderate behavioral deficits. The Holland classification system seemed to be best fitted for developing a comprehensive and accurate vocational interest inventory.

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Investigation on the Students' Abilities of Reading Scales and Conceptions Related with Measuring Instruments and Units (초.중학생의 눈금 읽기 능력 및 측정 도구와 단위에 관련된 개념 조사)

  • Soh, Jong-Ah;Jong, Hee-Kyong;Jung, Yong-Jae
    • Journal of The Korean Association For Science Education
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    • v.20 no.1
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    • pp.1-11
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    • 2000
  • This study investigated both elementary and middle school students' abilities of reading scales and students' conceptions of measuring instruments and units. Seventy two students with 5th grade, sixty nine students with 7th grade, and eighty students with 9th grade were participated. Performance tests and written questionnaires were used. To assess their scale reading abilities, individual performance test was used. Every student should measure length of an envelope, temperature of water, volume of water, etc. And to find out students' conceptions related with measuring instruments and units, written questionnaires with pictures and photographs were used. Some of the students' abilities of reading scales were considerably poor. The results of a two-plate-balance and measuring-cylinder were worse than those of a ruler, a spring-balance, and a thermometer. Many of the students had misconceptions related with measuring instruments. Some of them did not know exactly the meaning of volume, or mass, or force. So they did not know what to measure with the measuring instruments. Also students were confused with several units of volume, force, weight and mass.

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The Effects of Concept Sketches on the Understanding and Attitude in High School Student's learning of Weather Change (날씨 변화 학습에서 개념스케치 활용이 고등학생의 개념 이해도와 과학 태도에 미치는 영향)

  • Shin, Hyun Young;Kim, Hak Sung;Sohn, Jungjoo
    • Journal of Science Education
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    • v.34 no.1
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    • pp.12-22
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    • 2010
  • The purpose of this study was to investigate the effect of concept sketches on the understanding and scientific attitude in high school student's learning of weather change. Among the various fields of meteorology, especially in weather change, we often deal with the change of the spatiotemporal change in an abstract way. So making use of 'Concept Sketches'- simplified sketches which represent the main features, principles, processes and interrelationships of the learning contents using some concise explanations, signs and terms - could help the students learn the phenomena of weather change efficiently. This study's aim was to check up the effect and analyze the results of the lesson including the concept sketches. As a result of this study, concept sketches group showed significant improvement compared to the other groups in understanding of weather change and in scientific attitude, too. In students' recognition research of concept sketches showed that students found the class more interesting with improved concentration and had a chance to review through concept sketching, which is helpful for their learning. Considering the above research results, the study which applies concept sketching required the students to actively process their knowledge, and had a positive effect on the understanding of weather changes. Most of all, drawing the pictures which is a familiar activity helped the students to take part in the class eagerly.

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Conceptual Changes of Middle School Students on the Motion of the Moon Using the Cognitive Conflict Instructional Model (인지갈등 수업모형을 적용한 중학생의 달의 운동 개념 변화)

  • Kim, Hee-Soo;Chung, Jung-In;Shim, Ki-Chang
    • Journal of the Korean earth science society
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    • v.25 no.5
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    • pp.348-363
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    • 2004
  • The purpose of this study was to classify types of preconception about the motion of the moon held by middle school students and find out how the lesson applying cognitive conflict instructional model changes their conceptual view of the motion of the moon. A quantitative study was first conducted with 48 ninth graders and then followed by a qualitative study. In the qualitative study, male and female students were organized into groups of five and ten respectively. Students were instructed to observe the motion of the moon about for a month and at the same time were taught via the cognitive conflict instructional model for three class periods. Data were collected from interviews and a questionnaire evaluating the degree of concept development that each student showed. A majority of students were found to hold misconceptions formed from elementary school programs on the motion of the moon. Further, students showed lack of scientific ability to interpret the phenomena of the moon. This study showed that the cognitive conflict instructional model was effective for students to make progress regarding their conceptual views of the motion of the moon. However, it was observed that misconceptions by students may possibly occur when two dimensional figures or miniatures were used.

Exploration of Foreign Curriculums for the Improvement of the Korean Middle School Statistical Curriculum: Focusing on learning elements in Korea, the United States, Singapore, and Japan (중학교 통계영역의 교육과정 개선을 위한 외국 교육과정의 탐색: 한국, 미국, 싱가포르, 일본의 학습 요소 중심으로)

  • Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.501-520
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    • 2019
  • This study compared and analyzed Korean, American, Singaporean, and Japanese middle school mathematics curriculum standards and the learning contents in statistics. Through a comparative analysis of the curriculums of these four countries, I found several overall features and differences between the curriculums. First, all four countries emphasized statistical education in a real-life context. Second, all four countries emphasized the use of technological tools. Third, there is a middle school grade in which only Korea does not deal with statistical domains. Fourth, the statistical areas of the United States, Singapore, and Japan focused on identifying trends or variability in data distribution. Fifth, I have found some contents that only Korea does not deal with. Based on this, the following recommendations were developed for the development of the next curriculum and new textbooks in Korea. First, the statistics curriculum should be changed from one that focuses on understanding statistical concepts to one that focuses on statistical activity that utilizes these concepts. Second, in terms of middle school statistical curriculum contents, the addition of interquartile range (IQR) and box plots as learning contents should be considered. IQR and box plots are simple and practical techniques for the comparison of multiple sets of data that can be easily learned and drawn by middle school level students and applied to real-life-related statistical data to expand statistical literacy. Through this study, it is suggested that IQR and box plots need to be included in the statistical curriculum of middle schools in Korea.

A Study on the Aspect of Evolution and the Pursuit of Reality appeared in Cognizance of Paintings on the Pre-chosun Dynasty (조선전기 회화인식(繪畫認識)에 나타난 진(眞) 추구와 전개양상 고찰)

  • Park, Man-Gyu
    • (The)Study of the Eastern Classic
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    • no.36
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    • pp.403-432
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    • 2009
  • In this paper, I examined two things. First explore the of the reality(眞) in poems written on paintings and discussion on paintings in men of letters of Pre-chosun dynasty, furthemore, it analyzes the meaning and thought. To explain it, I would like to analyse the discourse surrounding the reality(眞) in poems written on paintings and discussion on paintings, and concept of the borrowing(假) and the unreal(幻). First of all, I examine the ways that the view of nature of Confucians is pertinent to the abiding in reverence and the investigation of principles of confucians, also painting is necessarry condition for their moral and spiritual self-cultivation. In the discourse surrounding the reality, it is to suggest from 'natural reality (天眞)' to escape from the reality(眞), and proceeds to examine the transformation of reality(眞) in mind(人心). Furthermore I examine the meaning of transform and delicate difference between borrowing(假) and the unreal(幻). In this process, concept of the borrowing(假) and the unreal(幻) is divided into the two meaning. False(假) is to become the Borrowing and painting, the unreal(幻) is change into the act of recognition. In conclusion, I examined the significant transformation of the reality(眞) and the unreal(幻). The reality(眞) has been recognized as a important concept, it is diverged into the Nature, outer things and painting mind, and the object of ultimate value in appreciation and painting of Pre-chosun dynasty.

The Analysis of Mapping Errors Induced in Learning the Concept of Reaction Rate with Analogies, and the Comparison of Mapping Errors by Analogy Presentation Types (비유를 사용한 반응 속도 개념 학습에서 유발되는 대응 오류에 대한 분석과 비유 표현 방식에 따른 비교)

  • Kim, Kyung-Sun;Byun, Ji-Sun;Lee, Seon-Woo;Kang, Hun-Sik;Noh, Tae-Hee
    • Journal of The Korean Association For Science Education
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    • v.28 no.4
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    • pp.340-349
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    • 2008
  • This study investigated the mapping errors induced in learning the concept of reaction rate with analogies, and compared these mapping errors by the analogy presentation types. Tenth graders (N=418) at a high school were assigned to the four groups by the target concepts and the analogy presentation types. The target concepts were 'concentration and reaction rate' and 'temperature and reaction rate'. In presenting analogy, the verbal and the verbal/pictorial analogs were used. After the students learned one of the analogs, a mapping test was administered. From the analysis, eight types of mapping errors were identified: overmapping, artificial mapping, failure to map, rash mapping, mismapping, mapping of a superficial feature, retention of a base feature, and impossible mapping. According to the analogy presentation types and the features of the target concepts, there were some differences in the frequencies of mapping errors. Educational implications of these findings are discussed.

The Influences of Situational Interest, Attention, and Cognitive Effort on Drawing as a Method to Assist Students to Connect and Integrate Multiple External Representations (외적 표상들 간의 연계와 통합을 촉진하는 방안으로서의 그리기에 미치는 상황 흥미, 주의집중, 인지적 노력의 영향)

  • Kang, Hun-Sik;Noh, Tae-Hee
    • Journal of The Korean Association For Science Education
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    • v.26 no.4
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    • pp.510-517
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    • 2006
  • This study investigated the influences of situational interest, attention, and cognitive effort on drawing as a method to assist students to connect and integrate multiple external representations provided in learning chemical concepts. Seventh graders (N=178) at two coed middle schools were taught about the "Boyle's Law" and the "Charles's Law" for two class hours through drawing. They observed macroscopic phenomena through demonstrations. After these observations, they drew their mental model from the external verbal representation, and then compared their drawings with external visual representation. The tests assessing situational interest, attention, cognitive effort, and conceptual understanding were administered as post-tests. Correlation and path analyses supported a causal model which situational interest had a positive direct effect on attention to the drawing. Attention led to conceptual understanding directly as well as through cognitive effort. These results suggest that situational interest may be induced by drawing first of all, and attention and cognitive effort may be direct causes of conceptual understanding in drawing. Educational implications are discussed.

Analysis of Connection Errors by Students' Field Independence-Dependence in Learning Chemistry Concepts with Multiple External Representations (다중 표상을 활용한 화학 개념 학습에서 학생들의 장독립성-장의존성에 따른 연계 오류 분석)

  • Kang, Hun-Sik;Lee, Jong-Hyun;Noh, Tae-Hee
    • Journal of The Korean Association For Science Education
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    • v.28 no.5
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    • pp.471-481
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    • 2008
  • This study investigated connecting errors by students' field independence-dependence in learning chemistry concepts with multiple external representations in current science textbooks. Seventh graders (N=196) at a middle school were assigned to the BL and CL groups, which were respectively taught "Boyle's Law" and "Charles's Law." A field independence-dependence test was administered. After learning the target concept with text and picture emphasizing the particulate nature of matter, a connecting test was also administered. Five types of connecting errors were identified: Insufficient connection, misconnection, rash connection, impossible connection, and failing to connect. 'Failing to connect,' 'Misconnection,' and 'Rash connection' were found to be the frequent types of connecting errors regardless of the target concepts. The frequencies and percentages of the types of connecting errors were not significantly different between the field independent and field dependent students. Educational implications of these findings are discussed.