• Title/Summary/Keyword: concepts understanding

Search Result 1,425, Processing Time 0.03 seconds

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
    • /
    • v.14 no.4
    • /
    • pp.469-493
    • /
    • 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.

  • PDF

Science Gifted Students' Interpretation and Understanding of Concept about T-S Diagram (과학영재학생의 수온-염분도에 대한 해석과 개념 이해)

  • Yu, Eun-Jeong;Jeong, Deuk Sil
    • Journal of the Korean earth science society
    • /
    • v.40 no.6
    • /
    • pp.639-653
    • /
    • 2019
  • The purpose of this study is to investigate the science gifted students' level of interpreting the oceanic graph and of understanding the oceanic physical concept through analyzing the Temperature-Salinity (T-S) diagram and inferring the SOFAR (SOund Fixing And Ranging) channel. A total of 106 gifted students in the 3rd year of a science gifted high school, using T-S diagrams published in one of the journals of Oceanology, developed descriptive questions asking the depth of the SOFAR channel to conduct the quantitative and qualitative analysis of graph interpretation ability. As a result, there was a big difference in the level of graphs interpretation and concepts understanding for each science gifted students such as interpreting, modeling, and converting, and exposed their alternative concepts about water temperature, salinity, and density. The results of this study will be used to understand the levels of science gifted students' graph interpretation in oceanology, and to provide the basic data for improving the teaching and learning methods of oceanology and also provide basic data for teaching material development related to graph analysis.

Changes of Students' Understanding of the Nature of Science After Two and Half Years of Public Science Education in Ontario Canada

  • Park, Hyeran;Woodruff, Earl
    • Journal of Science Education
    • /
    • v.38 no.1
    • /
    • pp.57-77
    • /
    • 2014
  • A longitudinal study traced changes in students' understanding of Nature Of science (NOS) through the public secondary science education in Ontario Canada. Although the concepts of NOS are complicated, and students' understandings are not easy to change, not many longitudinal studies have been done across the world. The current study tried to identify the changes of participating students' understandings of NOS for two and half years of public secondary science education in Ontario Canada. Pretest was administered using Views of Nature of Science (VNOS-C) when six participants graduated from a middle school of Toronto. Two and half years of secondary education, the posttest was carried out using the same instrument. After pre and posttest, probing interviews were performed. The analysis of the data was founded on the Standards and the conceptual framework for this study. The findings were that the initial views have little changed. Most examples and explanations the participants provided were from their science classes. Lab activities for confirming the existing laws and theories and observable photos in science textbooks made students regard the knowledge as a truth. Naturally, their knowledge has been expanded for 2 and 1/2 years, but this expansion of scientific knowledge led students toward Universalist views on science. On the other hand, when science was presented with a historical approach or was networked with other concepts, students acknowledged science and scientific knowledge had been induced from inferences as well as observations and experimental results. Based on the findings the authors of this research suggest that educating the knowledge of science should be historical and networked approaches rather than teaching the knowledge as concise and true statements of the nature.

  • PDF

A Didactical Analysis on the Understanding of the Concept of Negative Numbers (음수 개념의 이해에 관한 교수학적 분석)

  • Woo, Jeong-Ho;Choi, Byung-Chul
    • Journal of Educational Research in Mathematics
    • /
    • v.17 no.1
    • /
    • pp.1-31
    • /
    • 2007
  • Negative numbers have been one of the most difficult mathematical concepts, and it was only 200 years ago that they were recognized as a real object of mathematics by mathematicians. It was because it took more than 1500 years for human beings to overcome the quantitative notion of numbers and recognize the formality in negative numbers. Understanding negative numbers as formal ones resulted from the Copernican conversion in mathematical way of thinking. we first investigated the historic and the genetic process of the concept of negative numbers. Second, we analyzed the conceptual fields of negative numbers in the aspect of the additive and multiplicative structure. Third, we inquired into the levels of thinking on the concept of negative numbers on the basis of the historical and the psychological analysis in order to understand the formal concept of negative numbers. Fourth, we analyzed Korean mathematics textbooks on the basis of the thinking levels of the concept of negative numbers. Fifth, we investigated and analysed the levels of students' understanding of the concept of negative numbers. Sixth, we analyzed the symbolizing process in the development of mathematical concept. Futhermore, we tried to show a concrete way to teach the formality of the negative numbers concepts on the basis of such theoretical analyses.

  • PDF

Analysis and suggestions for elementary textbooks based on the elementary students' understanding of electric circuits (초등학생의 전기 회로 이해에 따른 자연 교과서 전기 단원에 대한 분석과 제안)

  • Kim, Eun-Sook;Shim, Jae-Gyu;Jung, Yong-Jae;Chang, Byung-Gi
    • Journal of The Korean Association For Science Education
    • /
    • v.19 no.4
    • /
    • pp.570-584
    • /
    • 1999
  • The units about electricity in 5th and 6th science curriculum for elementary school was analyzed and the elementary students' understanding of related concepts was investigated. This study was to make connection between the research about alternative concepts and writing textbooks. It was found that students' response had following characteristics. They had strong belief that the + and - ends of battery should be connected. However this belief was not complete because students did not understand that the other circuit elements had to be connected properly. When the circuit involve more than one bulbs or batteries, they counted the number of batteries or bulbs only and paid little attention to the connection of them. In explaining circuits and the brightness of the bulbs in the circuits. students tried to explains the circuit using scientific terms but failed to used them properly. Although the concept of resistance was not dealt explicitly. student had reasonable qualitative understanding about resistance. According to response of students, several suggestions might be made for the curriculum. The structure and the circuit elements and the proper connection needs to be taught. Also more emphasis is necessary to pay attention to the connection in addition to the numbers of bulbs or batteries. Finally, it needs to be investigated carefully if it is better to introduce some qualitative model to explain the amount of current through bulb depending on the connection and the number of bulbs. It might also be better to introduce some terms, such as current and resistance with the model.

  • PDF

Relationship between the High School Chemistry I, II, and the General Chemistry, and College Students' Cognition about the Subject (대학교 일반화학과 고등학교 화학 I, 화학 II 교과의 연계성 및 일반화학에 대한 대학생들의 인식조사)

  • Moon, Sook-Hee;Lee, Sang-Joa
    • Journal of the Korean Chemical Society
    • /
    • v.55 no.1
    • /
    • pp.112-123
    • /
    • 2011
  • The chemistry has the academic system in which a concept is jointly developed into the single strain, so the contents of the chemistry I II of the high school are very important in the connection of the general chemistry in the university. At this moment, it is possible for high school graduates to be accepted into science or engineering majors without taking the chemistry II. These the highest intensive election subject cause problems of differences in level of understanding and difficult of quality educations. In this study, we have analyzed similarity between the contents of the chemistry I II and the general chemistry. We also analyzed the cognition level of students without taking the chemistry II in understanding the general chemistry level classes. We found that the high school level chemistry I and II introduced about 27% and 62% of the essential concepts required for the general chemistry, respectively. In a case of M university in Chonnam, about 70% of students in the general chemistry classes have no exposure to the chemistry II in their high schools, causing difficulty of understanding new subjects due to their insufficient concepts for classes. The lack of knowledge caused lowering of learning achievement and decrease of interests in chemistry.

An Analysis of Learning Effect by Computer Programming Areas based on Leveled Intense and Supplementary Learning (심화.보충형 수준별 학습에 의한 컴퓨터 프로그래밍 영역별 학습 효과 분석)

  • Ahn, You-Jung;Kim, Kyung-Ah
    • Journal of the Korea Society of Computer and Information
    • /
    • v.15 no.9
    • /
    • pp.137-144
    • /
    • 2010
  • We've run leveled intense and supplementary study groups connected with JAVA regular classes for more effective learning of computer programming. We performed the test for evaluating learning understanding degrees between before and after study to analyze learning effect for three leveled study groups and a non study group, and we also analyzed the differences of learning understanding degrees among 4 learner groups by computer programming areas. As a result, we can reach the result what programming areas are effective to be operated by intense and supplementary study groups. Those areas are the area to improve the ability of programming applying concepts through in-depth understanding of concepts, and the area of programming through mixed knowledges related each other. The study group for low-leveled learners has most improved of four groups. Low-leveled group was behind the other study groups on programming application ability, but the group was more excellent than non study group in most programming areas.

Constructivism : A Shifting Paradigm for Educational Practice in Information Society (정보화사회의 교육 패러다임으로서 구성주의 -본질과 교육적 적용-)

  • Hwang, Hee-Sook
    • Journal of Fisheries and Marine Sciences Education
    • /
    • v.10 no.1
    • /
    • pp.100-113
    • /
    • 1998
  • The information society is characterized by rapidly increasing and changing information. Traditional models of learning and instruct on have emphasized forms of mastering the information in content domains. Storing information and being able to recall it has been central to formal education. But it is no longer possible to master content domains. This paper discusses constructivism as a shifting paradigm for educational research and practice in information society. Constructivism provides an alternative epistemological base to the objectivist tradition. Constructivism holds that there is a real world that we experience. However, the argument is that meaning is imposed on the world by us, rather than existing in the world independently of us. Meaning is seen as rooted in experience. The experience in which an idea is embedded is critical to the individual's understanding of that idea. From the constructivist perspective, learning is not a stimulus-response phenomenon. It requires self-regulation and the building of conceptual structures through reflection and abstraction. Problems are not solved by the retrieval of rote-learned right answers. The effective motivation to continue learning can be fostered by leading students to experience the pleasure that is inherent in solving problems chosen as one's own. Constructivism requires the change of the teacher's role from a knowledge transmitter to a coach or facilitator of student's understanding. Constructivist teachers inquire about students' understanding of concepts before sharing their own understandings of those concepts, and encourage students to engage in dialogue, both with them arid with one another. In Korea, the educational reform called open education has been spreading through out the country. There should be a paradigm shift in learning and instruction from objectivism to constructivism for better educational reform in Korea.

  • PDF

Content Analysis on the Expression Activity in the Middle School Physical Education Textbooks of 2009 Curriculum Revision (2009 개정 교육과정에 따른 중학교 체육교과서 표현활동 영역 체제 분석)

  • Choo, Nayoung
    • 한국체육학회지인문사회과학편
    • /
    • v.54 no.4
    • /
    • pp.257-269
    • /
    • 2015
  • The purpose of this study was to conduct content analysis on expression activity section in the physical education textbooks of 2009 curriculum revision and provide a basis for future middle school physical education. in order to accomplish the purpose of this study, 5 different kinds of physical education textbook. The physical education textbooks were examined through the comparative analysis and previous studies conducted for selections of the analysis bases. The results were as follows. First, textbooks devoted the space from 14.1 to 17.3%. In deployment and configuration of the section, each textbooks were used variety of methods, photographs and illustrations for motivations and advanced learning. Second, the instructional objectives were presented 4-6 each text book including expression activity concepts, understanding expression methods, personal competence reinforcement through creative activity, and watching performances. Learning contents were to focus on the concepts of aesthetic component in the esthetical expression, to highlight creative component in the modern expression, to express characteristic dances through understanding of the culture in the traditional expression. lastly, the middle assessments hight the understanding of each contents but small assessments focus on attitudes of character education.

A Study on the Expressive Characteristics of Conceptual Art in Fashion Design - With a focus on the works of Hussein Chalayan and Martin Margiela - (패션디자인에 나타난 개념미술의 표현적 특성 - 후세인 샬라얀(Hussein Chalayan)과 마틴 마르지엘라(Martin Margiela)의 작품을 중심으로 -)

  • Kim, Rooun;NamKoong, Yoonsun;Hwang, Sun Jin
    • Journal of the Korean Society of Costume
    • /
    • v.63 no.2
    • /
    • pp.55-67
    • /
    • 2013
  • The root of cultural and artistic diversity of modern society goes hand in hand with the appearance of new art concepts that started during the social and cultural turmoil. These concepts crossed the boundaries of traditional and universal aesthetic concepts and value criteria. Since there is a close relationship between the fashion industry and the cultural flow of its times, the purpose of this study is to investigate the influences and applications of conceptual art, which became one of the big frameworks of contemporary art on fashion. The study thus sets out to develop and analyze the collections of Hussein Chalayan and Martin Margiela, who were fashion designers that pursued conceptual and ideal values, from the perspective of conceptual art. The goal was to examine the conceptual thoughts they sought after, and to understand their expressive determinations that they pursued conceptually as well as the superficial formativeness of their works. The characteristics according to the expressive methods and conceptual intentions of conceptual art that specified concepts and ideas were as follows: readymade symbolized objects, expanded intervention, data form from process of changing and implementation, and language as visual metaphors. Then those characteristics of conceptual art were used in this study to analyze the collections of Chalayan and Margiela. As a result, both designers applied and mixed many characteristics of the expressive methods of conceptual art. In modern society, art and fashion share a cultural identity and it can be said that it is an accurate reflection of the time. They are not separate genres. Just like the unique flow of modern society that creates new concepts through mixture and infusion of different disciplines, fashion is included in the domain of art. In addition, understanding and studying other disciplines can make a huge contribution to the growth and development of fashion.