• Title/Summary/Keyword: deductive

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Comparative Study of Mathematics and Mathematics Education as an Academic Field - Focusing on Research Method - (수학과 수학교육학의 학문학적 비교연구 - 연구 방법을 중심으로 -)

  • Lee, Young-Ha;Tae, Sung-Yee
    • Journal of Educational Research in Mathematics
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    • v.19 no.4
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    • pp.493-511
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    • 2009
  • The purpose of this thesis is to discuss the characteristic methods of Mathematics Education. However, it is not simple to find the proper research method of Mathematics Education since Mathematics Education deals with the practice of teaching and learning mathematics, as well as the topics of scholarly research on the practice. Issues on Mathematics Education might vary with the epidemical aspects, which are basic attitudes toward the knowledge and understanding about Mathematics. Thus, this thesis will discuss two questions: First, What are the distinguishing characteristics of Mathematics Education as a field of study, when compared with ones of mathematics? Second, What are the characteristic methods of Mathematics Education, when compared with ones of other academic fields? For solving those questions, this thesis starts from meanings of science and education. And it also classifies Mathematics as formal science whereas Mathematics Education as social science by showing differences between Mathematics and Mathematics Education: research subject of Mathematics targets on mathematics itself and it uses the deductive method. On the other hand, Mathematics Education research handles the practice of mathematics of students and uses plausible reasoning. Also, it will also show why Mathematics Education shares lots of aspects with social science, not with natural science, which has many different characteristics from those of social science. Many researchers have agreed that Education should be categorized into the social science but misplaced Mathematics Education and Science Education into the natural science. It is true that physics and chemistry are natural science. And also it should be said that pure science is formal science. But it should be considered that just like Education, Mathematics Education and Science Education are in the category of social science.

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Development and Application of Cognitive Scaffolding Tools for Enhancing the Integrated Science Process Skills of High School Students (고등학생들의 통합 탐구 기능 향상을 위한 인지적 스캐폴딩 도구 개발 및 적용)

  • Lee, Kiyoung;Heo, Junhyuk;Park, Jaeyong
    • Journal of The Korean Association For Science Education
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    • v.39 no.4
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    • pp.545-562
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    • 2019
  • The purpose of this study is to develop cognitive scaffolding tools and to explore their effects on integrated science process skills of high school students. For this purpose, we developed cognitive scaffolding tools including one kind of classroom instruction for training integrated process skills and two kinds of individual learning materials that students can selectively study according to their level of inquiry ability. In addition, we developed hypothetico-deductive inquiry tasks as a tool to investigate the level of students on the integrated process skills for pre-test and post-test respectively. In order to verify the effectiveness of the cognitive scaffolding tools, we conducted inferential statistics on the pre-and post-tests of the experimental group and control group to examine statistical significance of students' inquiry level change depending on the usage of the cognitive scaffolding tools. We also produced Wrightmaps based on Rasch model to compare the change of inquiry ability depending on usage of the cognitive scaffolding tools. As a result, the experimental group using the cognitive scaffolding tools showed a significantly higher scores in all the components of integrated process skills namely, designing inquiry, collecting data, analyzing data, and forming conclusion than the control group. In addition, students who used cognitive scaffolding tools improved their inquiry ability and showed a distinct transition to higher level in each component of the integrated process skills. The results of this study suggest that high school students need cognitive scaffolding to alleviate or eliminate the functional barriers they face in conducting scientific inquiries.

A Cognitive Developmental Analysis on Children's Understanding of Death (유아의 죽음 개념화에 대한 인지발달적 분석)

  • Yang, Sungeun;Kim, Sang Lim
    • Korean Journal of Child Education & Care
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    • v.18 no.4
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    • pp.213-225
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    • 2018
  • Objective: Research on children's death concepts requires an approach considering social and cultural context. A qualitative method is necessary to explore children's cognitive process of understanding death. Thus, this study, to overcome the limitations of the quantitative approach based on the deductive logic led by adult researchers, adopted a qualitative research method. Methods: The data collection, referring to the theories of Corr and Balk (2010) and Smilansky (1987), used Death Concept Questionnaire. Each structured question was followed by open follow-up questions to explore how children understood each concept of death. Results: The results showed that participant children were still lacking in the acquisition of death sub-concepts. The qualitative result from open interview showed how children can and can not acquire the concepts of death. Conclusion/Implications: The study could be used in future development of death education programs for children. Based on the results of this research, it is necessary to develop programs for children's death education, which would help them coping with death related anxiety and loss experiences.

Secondary Science Teachers' PCK Components and Subcomponents Specific to the Learning Environment in an Online-offline Mixed Learning Environment (온-오프라인 혼합 학습환경에서 중등과학교사의 학습환경 특이적인 PCK 요소 및 하위요소)

  • Jisu, Kim;Aeran, Choi
    • Journal of the Korean Chemical Society
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    • v.66 no.6
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    • pp.472-492
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    • 2022
  • The purpose of this study was to investigate secondary science teachers' PCK components and subcomponents that are specific to online and offline learning environment. Data collection consisted of survey, class observation, and individual interviews of twelve science teachers. This study used a theoretical framework of PCK for deductive data analysis and articulated codes and themes through the following inductive analysis. Data analysis revealed that each of PCK components showed different specificity to the online and offline learning environment. And subcomponents of each PCK component were different according to the specificity of the online and offline learning environment. Teaching orientation toward science had a specific orientation for the online learning environment, i.e., 'learning science concept' and 'lecture centered instruction.' Knowledge of the science curriculum had online-offline mixed learning environment specific knowledge, i.e., 'reorganization of curriculum' and online learning environment specific knowledge, i.e., 'development of learning goal' and 'science curricular materials.' Knowledge of science teaching strategies had online learning environment specific knowledge, i.e., 'topic-specific strategy', 'subject-specific strategy', and 'interaction strategy' and COVID-19 offline learning environment specific knowledge, i.e., 'topic-specific strategy' and 'interaction strategy'. Knowledge of student science understanding had online learning environment specific knowledge, i.e., 'student preconception', 'student learning difficulty', 'student motivation and interest', and 'student diversity' and COVID-19 offline learning environment specific knowledge, i.e., student learning difficulty'. Knowledge of science assessment had online-offline mixed learning environment specific knowledge and online learning environment specific knowledge, i.e., assessment contents and assessment methods for each.

An Analysis of the Choice of Wedding Time Based on the Gimundungap Theory (기문둔갑으로 보는 혼인 택일법의 사례분석)

  • Cheong-Ha Lee;Ki-Chan Kim
    • Industry Promotion Research
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    • v.8 no.1
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    • pp.119-134
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    • 2023
  • An Analysis of the Choice of Wedding Time Based on the Gimundungap Theory. The purpose of this study is to research the utility and validity of wedding time selection based on the principles of Ungokgimun, a recent development of Gimundungap theory. Unlike the conventional way of choosing from common auspicious hours and days deemed available for important ceremonial occasions, Ungokgimun determines the propitious heavenly wedding time catered for a particular couple based on the birth table consisting of the four pillars of the bride- and groom-to-be. Using the Hong Guk-soo numbers which are drawn from the basic principles of oriental philosophy, it utilizes a deductive approach to wedding time choice, which is considered decisive and logical. Wedding time selection for a bride and a bridegroom is determined by auspicious combinations of matching and supporting HongGuk-soo numbers. Some relevant determining factors for the time choice are three number combination of samhap, two number combination of half-hap, latitudinal combination of yuk-hap, support and control relationships between related elements, two number punishment of hyung-sal, and three number punishment of samhyung-sal, etc. The specific auspicious palace of the spouse-to-be's luck is selected on the basis of supporting or brotherly combination of numbers which are manifested on the baseline earthly plate of the bride- and groom-to-be. This is followed by the selection of the ten-year luck, and year and month luck, and finally by the selection of auspicious day and hours. The validity of this study was verified through theoretical consideration of the Ungokgimun and practical analysis of a variety of marriage cases. It was found that the way of wedding time selection using Ungok Gimundungap was relatively more effective than other conventional methods.

Clarifying the Meaning of 'Scientific Explanation' for Science Teaching and Learning (과학 학습지도를 위한 '과학적 설명'의 의미 명료화)

  • Jongwon Park;Hye-Gyoung Yoon;Insun Lee
    • Journal of The Korean Association For Science Education
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    • v.43 no.6
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    • pp.509-520
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    • 2023
  • Scientific explanation is the main goal of scientists' scientific practice, and the science curriculum also includes developing students' abilities to construct scientific explanations as a major goal. Thus, clarifying its meaning is an important issue in the science education community. In this paper, the researchers identified three perspectives on 'scientific explanation' based on the scoping review method (Deductive-Nomological, Probabilistic, and Pragmatic explanation models). We argued that it is important to clarify and distinguish the meanings of 'scientific explanation' from other concepts used in science education, such as 'description', 'prediction', 'hypothesis', and 'argument' based on a review of the literature. It is also pointed out that there is a difference between 'scientific explanation' as a product and 'explaining scientifically' as communication, and several ways to revise achievement standard statements in the science curriculum are suggested, to guide students to construct scientific explanations and to help students to explain scientifically. By adopting the three scientific explanation models, the important factors to be considered were classified and organized, and examples of science learning activities for scientific explanation considering such factors were suggested. It is hoped that the discussion in this study will help establish clearer learning goals in science learning related to scientific explanation and aid the design of more appropriate learning activities accordingly.

A Study on the Gungwi Perception of Year, Month, Day and Hour in the East (동양의 연월일시 궁위 인식에 관한 고찰)

  • Sun-Ok Shin;Hyeok-Jin Na
    • Industry Promotion Research
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    • v.9 no.1
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    • pp.167-177
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    • 2024
  • The purpose of this paper is to restore the academic status of Gungwi perception a little. The symbolism of Gungwi, or Year Month Day Hour, likened to Geun Myo Hwa Sil, is not just a technique of interpretation. Recognizing that it corresponds to Saju's most fundamental Mingli principle, the study was conducted to the effect that more academic research should be conducted in the future. The intrinsic idea that constitutes Saju is the yin-yang and the five elements, the letters recorded are twelve-dimensional, and the elements in charge of the space and time are Cheongan, Jeeji, and Gungwi, which are woven into four pillars. Through this consideration of Gungwi's perception, we presented the "spectrum of time" phenomenon that past time and information pass through the point of time, spread like a spectrum, and lead future time and action at the time when humans are born, that is, the energy of the universe is formatted throughout the brain and body. We discussed the change point of Eight Trigrams used by Lim Cheol Cho as a basis for explaining 'Won Hyong I Jeong' and the assumption that the time change or distortion of the two cones penetrating the present, which is assumed in parallel theory, one of the modern cosmologies, leaves an afterimage in the future universe as Gungwi's deductive basis.

Development of a Three-Dimensional Analytical Framework for Analyzing Chemistry I Questions on the CSAT and Analysis of Chemistry I Questions (대학수학능력시험 화학 I 문항 분석을 위한 3차원 분석틀 개발과 화학 I 문항 분석)

  • Jihun Park;Sunhyang Park;Jeonghee Nam
    • Journal of the Korean Chemical Society
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    • v.68 no.1
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    • pp.40-53
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    • 2024
  • The study investigates the number and proportion of questions in each area by examining Chemistry I questions from the College Scholastic Ability Test from 2019 to 2022. The analysis was conducted using a three-dimensional framework that included key concepts in chemistry, behavioral domains in chemistry, and behavioral domains in mathematics. The results indicated that Chemistry I questions on the College Scholastic Ability Test had a relatively even distribution of questions across core individual topics, but highly difficult questions were predominantly biased toward stoichiometry. In terms of the behavioral domains in chemistry, there was a remarkably low proportion of questions related to problem recognition and hypothesis establishment, as well as designing research and implementing research. Conversely, highly difficult questions were more inclined towards drawing conclusions and evaluations. Regarding behavioral domains in mathematics, there was a limited number of questions addressing heuristic reasoning and deductive reasoning. On the other hand, high-difficulty questions favored internal problem-solving ability. Additionally, certain key concepts in chemistry and behavioral domains in chemistry exhibited a strong correlation with specific behavioral domains in mathematics. This characteristic was particularly evident in questions that encompassed higher-dimensional behavioral domains in mathematics, which students tend to find challenging.

Changes in High School Student Views on the Nature of Science according to Curriculum Change (교육 과정의 변화에 따른 과학의 본성에 대한 고등학생의 관점 변화)

  • Moon, Seong-Sook;Kwon, Jae-Sool
    • Journal of The Korean Association For Science Education
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    • v.26 no.1
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    • pp.58-67
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    • 2006
  • Student understanding of the nature of science is necessary not only because it is helpful for solving everyday problems with growing science literacy, but also because it influences students' science learning. Therefore, it was necessary to investigate student views on the nature of science under the 7th national curriculum and compare with those before the 7th national curriculum in order to probe the elements which contribute to changes in student views on the nature of science. A significant number of differences were found between subdimensions of views on the nature of science through the comparison. High school students under the 7th national curriculum had more relativistic, instrumental, and deductive but less process-oriented views than high school students before the 7th national curriculum. The differences between mean values which showed high school student views on the nature of science under and before the 7th national curriculum were significant, except for the subdimension of instrumentanlism/realism. In particular, high school students under the 7th national curriculum possessed a contextual view, whereas those before the 7th national curriculum possessed a decontextual view. Although other factors might be the cause for differences found in this study, we argued by discussion that differences among textbook contents seemed to be the major factor.

The Persuit of Rationality and the Mathematics Education (합리성의 추구와 수학교육)

  • Kang Wan
    • The Mathematical Education
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    • v.24 no.2
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    • pp.105-116
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    • 1986
  • For any thought and knowledge, its growth and development has close relation with the society where it is developed and grow. As Feuerbach says, the birth of spirit needs an existence of two human beings, i. e. the social background, as well as the birth of body does. But, at the educational viewpoint, the spread and the growth of such a thought or knowledge that influence favorably the development of a society must be also considered. We would discuss the goal and the function of mathematics education in relation with the prosperity of a technological civilization. But, the goal and the function are not unrelated with the spiritual culture which is basis of the technological civilization. Most societies of today can be called open democratic societies or societies which are at least standing such. The concept of rationality in such societies is a methodological principle which completes the democratic society. At the same time, it is asserted as an educational value concept which explains comprehensively the standpoint and the attitude of one who is educated in such a society. Especially, we can considered the cultivation of a mathematical thinking or a logical thinking in the goal of mathematics education as a concept which is included in such an educational value concept. The use of the concept of rationality depends on various viewpoints and criterions. We can analyze the concept of rationality at two aspects, one is the aspect of human behavior and the other is that of human belief or knowledge. Generally speaking, the rationality in human behavior means a problem solving power or a reasoning power as an instrument, i. e. the human economical cast of mind. But, the conceptual condition like this cannot include value concept. On the other hand, the rationality in human knowledge is related with the problem of rationality in human belief. For any statement which represents a certain sort of knowledge, its universal validity cannot be assured. The statements of value judgment which represent the philosophical knowledge cannot but relate to the argument on the rationality in human belief, because their finality do not easily turn out to be true or false. The positive statements in science also relate to the argument on the rationality in human belief, because there are no necessary relations between the proposition which states the all-pervasive rule and the proposition which is induced from the results of observation. Especially, the logical statement in logic or mathematics resolves itself into a question of the rationality in human belief after all, because all the logical proposition have their logical propriety in a certain deductive system which must start from some axioms, and the selection and construction of an axiomatic system cannot but depend on the belief of a man himself. Thus, we can conclude that a question of the rationality in knowledge or belief is a question of the rationality both in the content of belief or knowledge and in the process where one holds his own belief. And the rationality of both the content and the process is namely an deal form of a human ability and attitude in one's rational behavior. Considering the advancement of mathematical knowledge, we can say that mathematics is a good example which reflects such a human rationality, i. e. the human ability and attitude. By this property of mathematics itself, mathematics is deeply rooted as a good. subject which as needed in moulding the ability and attitude of a rational person who contributes to the development of the open democratic society he belongs to. But, it is needed to analyze the practicing and pursuing the rationality especially in mathematics education. Mathematics teacher must aim the rationality of process where the mathematical belief is maintained. In fact, there is no problem in the rationality of content as long the mathematics teacher does not draw mathematical conclusions without bases. But, in the mathematical activities he presents in his class, mathematics teacher must be able to show hem together with what even his own belief on the efficiency and propriety of mathematical activites can be altered and advanced by a new thinking or new experiences.

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