• 제목/요약/키워드: conceptual mathematics

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An Analysis on Reasoning of 4th-Grade Elementary School Students in Comparing Unlike Fraction Magnitudes (초등학교 4학년 학생들의 이분모 분수 크기 비교에 나타나는 추론 분석)

  • Yoon, Chaerin;Chang, Hyewon
    • Education of Primary School Mathematics
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    • 제26권3호
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    • pp.181-197
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    • 2023
  • The importance of reasoning processes based on fractional concepts and number senses, rather than a formalized procedural method using common denominators, has been noted in a number of studies in relation to compare the magnitudes of unlike fractions. In this study, a unlike fraction magnitudes comparison test was conducted on fourth-grade elementary school students who did not learn equivalent fractions and common denominators to analyze the reasoning perspectives of the correct and wrong answers for each of the eight problem types. As a result of the analysis, even students before learning equivalent fractions and reduction to common denominators were able to compare the unlike fractions through reasoning based on fractional sense. The perspective chosen by the most students for the comparison of the magnitudes of unlike fractions is the 'part-whole perspective', which shows that reasoning when comparing the magnitudes of fractions depends heavily on the concept of fractions itself. In addition, it was found that students who lack a conceptual understanding of fractions led to difficulties in having quantitative sense of fraction, making it difficult to compare and infer the magnitudes of unlike fractions. Based on the results of the study, some didactical implications were derived for reasoning guidance based on the concept of fractions and the sense of numbers without reduction to common denominators when comparing the magnitudes of unlike fraction.

The Characteristic and Implication of the View of Object in Oriental Medicine (한의학적(韓醫學的) 대상관(對象觀)의 특징과 성격)

  • Lee, Choong-Yeol
    • The Journal of Korean Medicine
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    • 제16권1호통권29호
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    • pp.505-530
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    • 1995
  • Recently some people in learned circles of oriental medicine raised a Question about a terminological problem, i.e., 'oriental medical'. This question was thought as an attempt to find out the identity of oriental medicine which exists among the various current medical knowledge systems. In spite of same object, human body, there are diverse medical knowledge systems which has different concepts and theories. This come from the difference of a view of object which defines the experiences of that. The knowledge system of oriental medicine was established by the view of object in oriental medicine which depended on the way of thinking as Yin and Yang. The view of object in oriental medicine has come out in the special cultural soil, namely, the oriental world. Because of this the view of object in oriental medicine cannot be seperated from the oriental world view. What distintive feature does the oriental world view have? It can be summarized as the holistic, dynamical and organic ideas of the world. The term 'oriental medical' is being used to emphasize the characteristic and the peculiarity of the oriental medicine among the various medical knowledge systems. Can the current so called scientific method accept this peculiar and special method of oriental medicine? The efforts of philosophers who had been stimulated by the awful scientific achivements and had tried to find out the unified method penetrating through all the empirical science by mobilizing the logic and mathematics has became out of date for the raise of a question about the inductive method. On the contrary, the theses of theory-laden observation was accepted widely and the relativism was accepted as a new established theory. But the relativism has its own problem. The relativism was founded upon the concept, the incommensurability, which Khun and Feyerabend had proposed. This concept was criticized strongly by some of philosophers because of its own self-refuting. The view of object in oriental medicine has a relative characteristic in the aspect of its urge that in accordance with the perspective a different medical knowledge system can be possible. But our possible choice is the moderate conceptual relativism. Therefore if the view of object in oriental medicine includes the relative aspect, there is the 'conceptual relativity' between the knowledge system of oriental medicine and the western medicine. This preview an important aspect for the standardization and modernizing research of oriental medicine by lending the knowledge of the western medicine. And when we choose the moderate conceptual relativism, it means that we do not support the extreme relativism, that is, 'anything goes'. The concept of truth and rationality cannot be abandoned, and it plays the role of the norm on the knowledge system of oriental medicine and other knowledge systems of medicine in a limited meaning. And the view of object in oriental medicine has an organic view about the human body and the characteristic which wants to interpret the phenomena of human body by using the holistic method. But the availability of this method will be evaluated by the achievements of oriental medicine. Finally what relationship does the theory of oriental medicine have with the world the theory is applied to? It is recognized that the theory of oriental medicine has the instrumental characteristic. But it can be thought the instrumentalism is different from the oriental medical standpoint in the aspect that the instrumentalism seperates the theoretical existence from the observational existence sharply. Because in the oriental thinking way there is no seperation between the mind of observer and the object and no conflict between the idealism and the realism like the western world. For this problem there must be a further study.

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A Study on the Development Direction of Reading Education in the 2015 Revised Curriculum (2015 개정 교육과정에 따른 독서교육의 발전 방향 모색 - 교과서 수록 읽기자료를 중심으로 -)

  • Choi, Young-im
    • Journal of Korean Library and Information Science Society
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    • 제48권4호
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    • pp.429-448
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    • 2017
  • The purpose of this study is to present the development direction of future reading education by examining the characteristics of reading materials within the high school textbook developed as the 2015 revised curriculum. For this purpose, reading materials of high school textbooks were analyzed in Korean language, mathematics, English, integrated science, and integrated social studies. The analysis criteria of reading materials were subject type, purpose, and student activities. As a result of the study, reading materials on various themes such as humanity, liberty, culture, environment, and district were presented in the integrated society and integrated science textbook of the 2015 revised curriculum. In particular, the Korean language curriculum was composed of a unit called "reading one book in one semester". However, most reading materials have no guidance on reading effective or reading direction, and lack of reading materials and information for extended reading. The reader's reading of the textbook was found to be simply supplementing the learning content of each unit or presenting fragmentary cues for conceptual purposes. This suggests that there is a lack of awareness of students' interest in reading, internalization of reading, and extension of reading. In this paper, we suggest supplementary materials of reading materials for expanding the high school textbooks, and explore the developmental relationship between textbooks and reading education through suggestions on aspects of textbook composition and teaching methods.

The Development and the Effects of Educational Program applied on STEAM for the Mathematical Prodigy (융합인재교육(STEAM)을 적용한 초등 수학영재 교육 프로그램의 개발과 적용 효과)

  • Lee, Seungwoo;Baek, Jongil;Lee, Jeonggon
    • Education of Primary School Mathematics
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    • 제16권1호
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    • pp.35-55
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    • 2013
  • The purposes of this study were to development and verify the effect of educational program apply on STEAM for the mathematical prodigy. To accomplish these purposes literature review on development of the program and qualitative study were conducted. The mixed-model design was applied for this qualitative experimental study. The conclusions of this study were as follows. First, the program for mathematical prodigy education applied on the conceptual model of STEAM integration approach was developed. Second, a learning satisfaction about constitution of the workbook was lowly. Third, principal of STEAM was the best interest and difficult of the program applied on STEAM. Fourth, the creativity and problem solving ability was founded about angle and velocity of mathematical domain and making the Angrybirds Game on GeoGebra environment. In spite of difficulty about principal of the Angrybirds Game, confidence and satisfaction were founded about a result product.

Analysis of Korean Middle School Student Science Achievement at International Benchmarks in TIMSS 2003 (TIMSS 2003 성취 수준에 따른 우리나라 중학생들의 과학 성취도 분석)

  • Hong, Mi-Young;Jeong, Eun-Young;Lee, Mee-Kyeong;Kwak, Young-Sun
    • Journal of The Korean Association For Science Education
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    • 제26권2호
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    • pp.246-257
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    • 2006
  • TIMSS (Trends in International Mathematics and Science Study) aims to produce reliable and internationally comparable indicators of student achievement. The TIMSS science achievement scale summarizes student performance on test items designed to measure a wide range of student knowledge and proficiency. This study analyzed Korean middle school students' science achievement at the advanced and high international benchmarks of the four benchmark levels of the benchmarks classified in TIMSS 2003 in light of science content areas (physics, chemistry, biology, earth science, and environmental science) and item characteristics. The average percent correct on items at the advanced benchmark by Korean students was highest in physics followed by earth science, biology, chemistry, and environmental science, whereas internationally the order was earth science, chemistry, biology, physics and lastly environmental science. Korean students performed relatively better in physics yet somewhat worse in chemistry than other top-performing countries. According to item analysis, Korean students reaching the advanced international benchmark understood some fundamentals of scientific investigation, but demonstrated weakness in written explanations of scientific principles, abstract science concept comprehension, and application of scientific concepts to solve quantitative problems. In addition, Korean students reaching the high international benchmark demonstrated relative weak conceptual understanding of ecology compared with other countries.

Domestic and International Experts' Perception of Policy and Direction on STEAM Education (융합인재교육(STEAM)의 정책과 실행 방향에 대한 국내외 전문가들의 인식)

  • Jung, Jaehwa;Jeon, Jaedon;Lee, Hyonyong
    • Journal of Science Education
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    • 제39권3호
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    • pp.358-375
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    • 2015
  • The purposes of this study were to investigate the value, necessity and legitimacy of STEAM Education and to propose practical approaching methods for STEAM Education to be applicable in Korea through a variety of literature review, case studies and collecting suggestions from domestic and international educational experts. The research questions are as follows: (1) To investigate the perception, understanding and recognitions of domestic and foreign professionals in STEAM education. (2) To analyze policy implications for an improvement in STEAM. The following aspects of STEAM were found to be challenges in our current STEAM policy after analyzing multiple questionnaires with the professionals and case studies including their experiences, understanding, supports and directions of the policy from the governments. The results indicate that (1) there was a lack of precise and conceptual understanding of STEAM in respect to experience. Training sessions for teachers in this field to help transform their perception is necessary. Development of practical programs with an easy access is also required. It is important to get the aims of related educational activities recognized by the professionals and established standards for an evaluation. The experts perceived that a theme-based learning is the most preferred and effective approaching method and the programs that develop creative thinking and learning applicable to practice are required to promote. (2) The results indicate that there was a lack of programs and inducements for supporting outstanding STEAM educators. It is shown that making an appropriate environment for STEAM education takes the first priority before training numbers of teachers unilaterally, thus securing enough budget seems critical. The professionals also emphasize on developing specialized teaching materials that include diverse inter-related subjects such as science technology, engineering, arts and humanities and social science with diverse viewpoints and advanced technology. This work requires a STEAM network for teachers to link up and share their materials, documents and experiences. It is necessary to get corporations, universities, and research centers participated in the network. (3) With respect to direction, it is necessary to propose policy that makes STEAM education ordinary and more practical in the present education system. The professionals have recommended training sessions that help develop creative thinking and amalgamative problem-solving techniques. They require reducing the workload of teachers and changing teachers' perspectives towards STEAM. They further urge a tight cooperation between departments of the government related with STEAM.

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