• Title/Summary/Keyword: concept understanding

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Yun Hwasu's Understanding of Place and the Types of Geographical Knowledge Shown in the Book of Baekdusanhaenggi ("백두산행기"에 나타난 윤화수의 장소인식과 지리지식의 유형)

  • Kang, Soon-Dol
    • Journal of the Korean association of regional geographers
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    • v.15 no.1
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    • pp.99-114
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    • 2009
  • The purpose of this paper is to identify the authour of Baekdusanhaenggi, Yun Hwasu's understanding of place and the types of geographical knowledge shown in the book. He regarded ideologically the place as a paradise or a sacred land on the base of empirical understanding of it. Geographical knowledge in Baekdusanhaenggi was expressed as two main types; geographical content and geographical concept. The content of geographical knowledge consist of physical geography such as climates, vegetations, geographical features and human landscapes such as settlement landscapes, cultural landscapes. The geographical concept consist of locations, distances, regions.

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On the Applications of the Genetic Decomposition of Mathematical Concepts -In the Case of $Z_n$ in Abstract Algebra- (수학적 개념의 발생적 분해의 적용에 대하여 -추상대수학에서의 $Z_n$의 경우-)

  • Park Hye Sook;Kim Suh-Ryung;Kim Wan Soon
    • The Mathematical Education
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    • v.44 no.4 s.111
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    • pp.547-563
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    • 2005
  • There have been many papers reporting that the axiomatic approach in Abstract Algebra is a big obstacle to overcome for the students who are not trained to think in an abstract way. Therefore an instructor must seek for ways to help students grasp mathematical concepts in Abstract Algebra and select the ones suitable for students. Mathematics faculty and students generally consider Abstract Algebra in general and quotient groups in particular to be one of the most troublesome undergraduate subjects. For, an individual's knowledge of the concept of group should include an understanding of various mathematical properties and constructions including groups consisting of undefined elements and a binary operation satisfying the axioms. Even if one begins with a very concrete group, the transition from the group to one of its quotient changes the nature of the elements and forces a student to deal with elements that are undefined. In fact, we also have found through running abstract algebra courses for several years that students have considerable difficulty in understanding the concept of quotient groups. Based on the above observation, we explore and analyze the nature of students' knowledge about $Z_n$ that is the set of congruence classes modulo n. Applying the genetic decomposition method, we propose a model to lead students to achieve the correct concept of $Z_n$.

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A Study on the Function Education of Middle School Using the Technical Instruments (중학교 1학년 함수지도에서의 공학적 도구 활용에 관한 연구)

  • Chu, Soon-Jong;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.189-209
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    • 2009
  • One of the characteristics in math -abstract concept- makes the students find difficulties in understanding general ideas about math. This study is about how much do the modeling lessons using the technical instruments which is based on the realistic mathematical theory influence on understanding the mathematical concept. This study is based on one of the contents the first grade of middle school students study, the function, especially the meaning of it. Some brilliant students being the objects of this study, mathematically experimental modeling lesson was planned, conducted. Survey on the students' attitudes about math before and after the modeling classes and Questionnaire survey on the effectiveness about the modeling class were conducted and their attitudes were recorded also. This study tells that students show very meaningful changes before and after the modeling class and scientific knowledge seems to be very helpful for the students to understand the mathematical concept and solve the problems. When scientific research and development get together with mathematics, students will be more motivated and be able to form the right mathematical concept easily.

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High Achieving Students' Understanding of Continuity of Function (상위 집단 학생들의 함수의 연속 개념 이해)

  • Lee Kyung Hwa;Shin Bo Mi
    • Journal of Educational Research in Mathematics
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    • v.15 no.1
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    • pp.39-56
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    • 2005
  • This paper provides an analysis of a survey on high achieving students' under-standing of continuity of function. The purposes of the survey in this paper were to identify high achieving students' concept images of continuity of function in the way of Tall & Vinner(1981). The students' individual written answers were collected and task-based, semi-structured individual interviews with 5 students were videotaped. Students were asked to explain their under-standing or reasoning about continuity of function. Five types of the concept images were identified in the analysis. Obvious discrepancy of results between this study and Tall & Vinner(1981)'s were pointed out. It is very likely that the differences in results drawn in both studies are results of the different orientations of the textbooks in terms of their degree of emphasis on the concept definition of continuity of function.

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The Concept of Altitude of the Sun by difference of Spatial Ability of Elementary Student (초등학생의 공간능력에 따른 태양의 고도에 관한 개념)

  • Jeon, Man-Kuk;Kim, Hyoung-Bum;Jeong, Jin-Woo
    • Journal of the Korean Society of Earth Science Education
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    • v.6 no.1
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    • pp.28-39
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    • 2013
  • The purpose of this study is to investigate the conceptions about altitude of the Sun of elementary students according to differences by the spatial ability. In this study through the qualitative analysis, 4 students who were similar understanding levels of concepts to altitude of the Sun and differences by the spatial ability were selected out of 75 in 6th grade elementary located in Sunchang, Jellabuk-do Province. 4 students for the qualitative analysis were selected by the test instrument of spatial ability and altitude of the Sun. The results of study was students with higher spatial ability were higher understanding levels of concepts to altitude of the Sun. However, both of student with higher and lower spatial ability showed a false concept to the expanded concepts into outer space like a cause of seasonal change, change of altitude of the Sun by latitude unlike the intution. Students with lower spatial ability didn't form the scientific concepts, not only a cause of seasonal change and change of altitude of the Sun but also difference of energy density by altitude of the Sun. A student of two with lower spatial ability has been impediment strongly to form the scientific concept by the false concepts to the distance. The findings were as follows; Learning to altitude of the Sun regardless of the difference of spatial ability should be learned to interact to the intution, celestial movement and model experiment. To students with lower spatial ability should be developed teaching methods to understand the relation between the Sun and celestial movement.

Recognition about the HACCP Concepts by the Industry Foodservice Managers in Pusan and Kyung Nam (부산·경남지역 사업체 급식관리자의 식품위해요소 중점관리기준에 대한 인지도 조사연구)

  • Lyu, Eun-Soon
    • Korean journal of food and cookery science
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    • v.15 no.6
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    • pp.579-585
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    • 1999
  • This study was conducted to evaluate the recognition of HACCP(Hazard Analysis Critical Control Point) concept by the industry foodservice managers in Pusan and the Kyung Nam areas and to suggest a guideline for an effective HACCP education program. A survey was conducted from 133 foodservice managers by using a questionnaire. The results were as follows; 68.0% industry foodservice managers were educated about HACCP concept, 33.8% didn't understand the concept, and only 13.4% understood the concept fully. On the application of HACCP program to the foodservice operation, 15.0% of managers always applied HACCP program, 35.4% often, and 49.6% did not. The reasons for not applying HACCP were the ignorance HACCP implementation method(36.7%), poor facilities of foodservice operations(34.7%), shortage of time(l4.3%), and difficult of HACCP principles(6.1%). The mean score of HACCP knowledge for all manager was 64.1, in which the educated manager showed significantly higher score than noneducated CP(0.01). The ratio of correct answers concerning HACCP was 80.5% for the pre-preparation stage, 60.3% for the receiving and storage stage, 57.0% for the hot and cold holding stage, 54.5% for the facilities sanitation stage, and 46.0% for the preparation stage. The mean score of HACCP knowledge was positively correlated with understanding of HACCP program as well as the application. Also, the implementation of HACCP program was positively correlated with the understanding of HACCP.

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An Analysis of Mastering Concept and Connection with Operations in Natural Number and Fraction in Elementary School Mathematics (초등 수학에서 자연수와 분수의 사칙연산에 대한 개념 익히기 및 연산 사이의 연결 분석)

  • Roh, Eun Hwan;Jeong, Sang Tae;Kim, Min Jeong
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.4
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    • pp.563-588
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    • 2015
  • In elementary school, didactical transposition is inevitable due to several reasons. In mathematics, addition and multiplication are taught as binary operations, subtraction and division are taught as unary operations. But in elementary school, we try to teach all the four operations as binary operations by didactical transposition. In 'Mastering' the concepts of the four operations, the way of concept introduction is dealt importantantly. So it is different from understanding the four operations. In this study, we analyzed the four operations of natural numbers and fractions from two perspectives: concept understanding (how to introduce concepts and how to choose an operation) and connection between the operations. As a result, following implications were obtained. In division of fractions, students attempted a connection with multiplication of fractions right away without choosing an operation, based on the situation. Also, to understand division of fractions itself, integrate division of fractions presented from the second semester of the fifth grade to the first semester of the sixth grade are needed. In addition, this result can be useful in the future textbook development.

A Study of Conceptual Change Processes among Pre-Service Science Teachers relating to Conductor and Electrolyte as Electrified Materials (전기가 흐르는 물질로서 도체와 전해질에 대한 예비과학교사들의 개념변화 과정에 대한 연구)

  • Paik, Seoung-Hey;Kim, Kyoung-Eun
    • Journal of The Korean Association For Science Education
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    • v.33 no.6
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    • pp.1103-1118
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    • 2013
  • In this research, we analysed definitions and examples of conductor and electrolysis concept in middle school science textbooks. We also surveyed 9 senior pre-service teachers' understanding of the concept definitions and appropriate examples. From the analysis of the textbooks, we found that the possibility of misunderstanding of learners is high because of the broad definition concept and narrow list of examples. After confirming the differences among pre-service teachers' understanding of the subject through questionnaires and interviews, they also debated for a need to an agreement on scientific concepts. The pre-service teachers recognized the meaning of social constructivism and the need for an agreement process in teaching science concepts.

Pre-Service Teachers' Understanding of the Concept and Representations of Irrational Numbers (예비교사의 무리수의 개념과 표현에 대한 이해)

  • Choi, Eunah;Kang, Hyangim
    • School Mathematics
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    • v.18 no.3
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    • pp.647-666
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    • 2016
  • This study investigates pre-service teacher's understanding of the concept and representations of irrational numbers. We classified the representations of irrational numbers into six categories; non-fraction, decimal, symbolic, geometric, point on a number line, approximation representation. The results of this study are as follows. First, pre-service teachers couldn't relate non-fractional definition and incommensurability of irrational numbers. Secondly, we observed the centralization tendency on symbolic representation and the little attention to other representations. Thirdly, pre-service teachers had more difficulty moving between symbolic representation and point on a number line representation of ${\pi}$ than that of $\sqrt{5}$ We suggested the concept of irrational numbers should be learned in relation to various representations of irrational numbers.

Influence of transfer learning program from mathematics to science (수학에서 과학으로의 전이학습프로그램의 효과)

  • Sung, Chang-Geun
    • Education of Primary School Mathematics
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    • v.18 no.1
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    • pp.31-44
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    • 2015
  • This study aims to test effect of transfer learning program rather than students' transfer ability. For these purpose, firstly this study design transfer learning program to apply from 'rate concept' in learning math class to 'velocity concept' in science class. Subsequently, this study is to analyze whether this program affect on 'the rate concept understanding' and 'the mathematics learning attitude'. Followings are the findings from this study. First, transfer learning program affect on improving students' rate concept understanding. Moreover, 17 among 35 students' who stay in 'ratio level' move to 'internalized ratio level'. Second, besides transfer learning program is not only cause to change students' learning attitude, this program impact on changing their learning attitude positively. The study has an important implications in that it designed new learning program that students experience transfer and test its effect.