• Title/Summary/Keyword: Concrete thinking

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Teaching and Learning of University Calculus with Python-based Coding Education (파이썬(Python) 기반의 코딩교육을 적용한 대학 미적분학의 교수·학습)

  • Park, Kyung-Eun;Lee, Sang-Gu;Ham, Yoonmee;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.163-180
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    • 2019
  • This study introduces a development of calculus contents which makes to understand the main concepts of calculus in a short period of time and to enhance problem solving and computational thinking for complex problems encountered in the real world for college freshmen with diverse backgrounds. As a concrete measure, we developed 'Teaching and Learning' contents and Python-based code for Calculus I and II which was used in actual classroom. In other words, the entire process of teaching and learning, action plan, and evaluation method for calculus class with Python based coding are reported and shared. In anytime and anywhere, our students were able to freely practice and effectively exercise calculus problems. By using the given code, students could gain meaningful understanding of calculus contents and were able to expand their computational thinking skills. In addition, we share a way that it motivated student activities, and evaluated students fairly based on data which they generated, but still instructor's work load is less than before. Therefore, it can be a teaching and learning model for college mathematics which shows a possibility to cover calculus concepts and computational thinking at once in a innovative way for the 21st century.

The Mediation of Embodied Symbol on Combinatorial Thinking

  • Cho, Han-Hyuk;Lee, Ji-Yoon;Lee, Hyo-Myung
    • Research in Mathematical Education
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    • v.16 no.1
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    • pp.79-90
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    • 2012
  • This research investigated if the embodied symbol using a turtle metaphor in a microworld environment works as a cognitive tool to mediate the learning of combinatorics. It was found that students were able to not only count the number of cases systematically by using the embodied symbols in a situated problem regarding Permutation and Combination, but also find the rules and infer a concept of Combination through the activities manipulating the symbols. Therefore, we concluded that the embodied symbol, as a bridge that connects learners' concrete experiences with abstract mathematical concepts, can be applied to introduction of various mathematical concepts as well as a combinatorics concept.

Park Young Bae's Teaching and Learning Mathematics - Constructivism (박영배의 수업.학습모델 - 구성주의 (천안공업고등학교를 중심으로))

  • 이경복;박수범
    • Journal of the Korean School Mathematics Society
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    • v.6 no.2
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    • pp.55-69
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    • 2003
  • It is clear that students attending at technical high schools, which are commonly believed to have low mathematical learning standard, are able to improve their mathematical learning abilities through concrete operational activities. One thing that teachers should remember is that the subject in learning is the student not the teacher any more, so that teachers are able to become assistants by letting students study independently rather than passively.

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A Study on the Kenneth Frampton's Contribution to Architectural Phenomenology (케네스 프램턴이 건축 현상학에 끼친 영향)

  • Chung, Tae-Yong
    • Korean Institute of Interior Design Journal
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    • v.26 no.5
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    • pp.75-82
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    • 2017
  • The aim of this study is to find phenomenological characteristics in the background and contents of Kenneth Frampton's architectural theories and their contribution to architectural phenomenology. His theories reflect on the interpretations of Modern architecture synchronically and diachronically. This difference makes Frampton have more concrete direction for architectural phenomenology. Hanna Arendt, who contribute to form Frampton's architectural theory, introduced various concepts of Heidegger's phenomenology to Frampton. And criticism of image centered late capitalism also act as a background for Frampton to relate to phenomenology. Frampton emphasized the importance of 'critical regionalism' and 'tectonic' as a poetics of construction as the resistance of globalization. All of these have relations to 'place' and 'perception' that are main themes of phenomenology. Frampton explains his theory with phenomenological terms and above all things, he assimilates concerns of architectural phenomenology with critical thinking. In these aspects, his theories can be recognized as playing an important role to the development of architectural phenomenology.

MATHEMATICAL UNDERSTANDING OF CONSCIOUSNESS AND UNCONCIOUSNESS

  • LEE, NAMI;KIM, EUN YOUNG;SHIN, CHANGSOO
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.21 no.2
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    • pp.75-79
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    • 2017
  • This paper approaches the subject of consciousness and unconsciousness from a mathematical point of view. It sets up a hypothesis that when unconscious state becomes conscious state, high density energy is released. We argue that the process of transformation of unconsciousness into consciousness can be expressed using the infinite recursive Heaviside step function. We claim that differentiation of the potential of unconsciousness with respect to time is the process of being conscious in a world where only time exists, since the thinking process never have any concrete space. We try to attribute our unconsciousness to a special solution of the multi-dimensional advection partial differential equation which can be represented by the finite recursive Heaviside step function. Mathematical language explains how the infinitive neural process is perceived and understood by consciousness in a definitive time.

Investigation of Present State for Teaching Mathematical Communication (수학적 의사소통의 지도에 관한 실태 조사)

  • Lee, Jong-Hee;Kim, Sun-Hee
    • School Mathematics
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    • v.4 no.1
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    • pp.63-78
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    • 2002
  • This research's purpose is to investigate follows. 1. How do middle school teachers recognize the mathematical communication globally? 2. If we classify the modes of mathematical communication as written, spoken, graphic and active ones, how much do teachers use them and how do the students' communication ability come as teachers judge? 3. What are teachers' thinking, the present condition and the future indication for the application of mathematical communication with computer? 4. Do teachers evaluate their students' communication ability? If then, what is the assessment rubric of student's communication ability? The results are analyzed by frequency analysis including percentile and free writings are arranged by similar responses. The result of this study is that global recognition for mathematical communication, current state for students' concrete performance of mathematical communication, and assessment of mathematical communication & proposals are very lacking.

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School Sex Education in Korea and the U.K. (한국과 영국의 학교 성교육 비교연구)

  • 김정옥
    • Journal of Korean Home Economics Education Association
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    • v.8 no.2
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    • pp.1-14
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    • 1996
  • Sex education in the U.K. follows an ideal model, co-operation where ever possible between homes, schools, and communities, whereas in Korea schools are mostly responsible for sex education. Moreover, Central Government and LEAs are deeply involved in school sex education in the U.K., in contrast, the concrete help at Government level is very limited in Korea though the necessity of sex education is acknowledged. These differences be accounted for by the different social and cultural backgrounds of the two countries, especially given the different thoughts of the people-oriental and occidental-. In the U.K., sex education has been a compulsory subject in secondary schools since 1994 (by the Education Act 1993), and it is well managed with the support at Government level as compared with that of Korea. Sex education in the U.K. may give some lessons for practising and developing sex education in Korea because the people in both countries have similarly conservative thinking about school sex education and it is implemented very carefully in the U.K.. In this article, a general comparison of background, policy, aims, content, management, teacher training, and materials of sex education between the two countries is made.

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A Comparative Analysis between the Mathematics Curricula of Kindergarten and Elementary School and A Plan for Connecting the Two Curricula (유치원과 초등학교 수학 교육과정의 비교 분석 및 연계 활동 방안)

  • 김창복
    • Education of Primary School Mathematics
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    • v.5 no.1
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    • pp.41-55
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    • 2001
  • The purpose of this study was to compare and analyze the curricula of kindergarten and elementary school and to present a plan for connecting the two curricula. The curricula emphasized mathematical thinking and problem solving instead of fragmentary knowledge and adopted the streamed curriculum based on children’s ability and interest. And both of them consisted of number and operation, geometry, measurement, statistics, and put emphasis on activity such as real life experience, play, manipulation of concrete objects, and communication. However, there are some kinds of differences between them, because the kindergarten curriculum is not included in the common curriculum, from 1st grade to 10th grade. Thus, this study recommended several ideas based. Thus, this study recommended several ideas based on theories to connect the mathematics curricula of kindergarten and elementary school.

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Integration of QFD and TRIZ to Solve the Inventive Problem in the Design Process (QFD와 TRIZ의 통합에 의한 설계 단계에서의 창의적 문제 해결 방안)

  • Jeong, Hai Sung
    • Journal of Applied Reliability
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    • v.13 no.3
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    • pp.153-163
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    • 2013
  • QFD(Quality Function Deployment) is a very important tool to improve market share by reducing the gap between the voice of customer and the product's performance. But QFD is not a problem solving tool, although it is very useful in identifying what has to be solved or improved in order to meet the customer's desires. TRIZ has proved to be a very strong tool to solve the difficult problems that requires inventive thinking. QFD integrated with TRIZ becomes hot research recently. But merely linking between HOQ(House of Quality) in QFD and the contradiction matrix in TRIZ can not provide designers with a concrete method to solve the technical problem in the design process. Practically, the contradiction matrix and 40 inventive principles are not helpful for solving the technical problem. To solve the technical problem using TRIZ, a search for the tool and the object involved in the problem is made, from which the wanted result should be derived. A practical method to integrate QFD and TRIZ is proposed in this paper.

Conceptualizing the Smart Tourism Mindset: Fostering Utopian Thinking in Smart Tourism Development

  • Gretzel, Ulrike
    • Journal of Smart Tourism
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    • v.1 no.1
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    • pp.3-8
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    • 2021
  • The growing literature on smart tourism and the increasing number of smart tourism initiatives demonstrate that the idea of smart tourism is captivating and that its potential is great. However, its concrete implementation so far has lacked the transformative focus called for by smart development principles. This paper suggests that conceptualizing smart tourism development as a utopian endeavor that requires critiquing the status quo and collective imagining of better tourism and good destinations could help smart tourism efforts transcend their instrumental, short-term, and fragmented character. It further introduces the concept of the Smart Tourism Mindset to propose that, as a utopian enterprise, smart tourism needs to be guided by specific values and traits that permeate actors at all levels. The paper concludes by calling for a greater focus on identifying what these values and traits are and how to best establish and communicate the Smart Tourism Mindset.