• The Mathematical Education
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• v.62 no.1
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• pp.1-21
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• 2023

The purpose of this study is to explore how the student, who interiorized three levels of units, constructed fractions as multipliers by analyzing her ways of conceiving improper fractions with three levels of units and coordinating two three-levels-of-units structures. Among the data collected from our teaching experiment with two 4th grade students meeting 13 times for three months, we focus on how Seyeon, one of the participating students, wrote numerical expressions in the form of "× fraction" for the given situations using her splitting operation for composite units. Given the importance of splitting operation for composite units for the construction of fractions as multipliers, implications for further research are discussed.

• Education of Primary School Mathematics
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• v.23 no.2
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• pp.87-116
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• 2020

The purpose of this study is to explore how units-coordination ability is related to understanding fraction concepts. For this purpose, a teaching experiment was conducted with one fourth grade student, Eunseo for four months(2019.3. ~ 2019.6.). We analyzed in details how Eunseo's units-coordinating operations related to her understanding of fraction changed during the teaching experiment. At an early stage, Eunseo with a partitive fraction scheme recognized fractions as another kind of natural numbers by manipulating fractions within a two-levels-of-units structure. As she simultaneously recognized proper fraction and a referent whole unit as a multiple of the unit fraction, she became to distinguish fractions from natural numbers in manipulating proper fractions. Eunseo with a reversible partitive fraction scheme constructed a natural number greater than 1, as having an interiorized three-levels-of-units structure and established an improper fraction with three levels of units in activity. Based on the results of this study, conclusions and pedagogical implications were presented.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.323-345
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• 2019

This study examines the introduction of fractions in the third grade mathematics textbooks focusing on stages of units coordination and suggests alternative activities to help students develop their understanding of fractions. As results, the sessions of introduction units in textbooks was well organized to allow students to construct more extensive fraction schemes (i.e., Part-whole fraction scheme → Partitive unit fraction scheme → Partitive fraction scheme). However, most of the activities in textbooks were related to stages 1 and 2 of units coordination. In particular, the operations and partitioning schemes (i.e., equi-partitioning and splitting schemes), which are key to the development of students' fraction knowledge, were not explicitly revealed. Fraction schemes also did not extend to the Iterative fraction scheme, which is central to the construction of improper fractions. Based on these results, this study is expected to provide implications for the introduction of fractions in textbooks focusing on stages of units coordination to teachers and textbook developers.

• The Mathematical Education
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• v.61 no.1
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• pp.1-28
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• 2022

The purpose of this study is to explore how students' fractional knowledge is related to their solving of proportion problems. To this end, 28 clinical interviews with four middle-grade students, each lasting about 30~50 minutes, were carried out from May 2021 to August 2021. The present study focuses on two 7th grade students who exhibited their ability to coordinate three levels of units prior to solving whole number problems. Although the students showed interiorization of three levels of units in solving whole number problems, how they coordinated three levels of units were different in solving proportion problems depending on whether the problems required reasoning with whole numbers or fractions. The students could coordinate three levels of units prior to solving the problems involving whole numbers, they coordinated three levels of units in activity for the problems involving fractions. In particular, the ways the two students employed partitioning operations and how they coordinated quantitative unit structures were different in solving proportion problems involving improper fractions. The study contributes to the field by adding empirical data corroborating the hypotheses that students' ability to transform one three levels of units structure into another one may not only be related to their interiorization of recursive partitioning operations, but it is an important foundation for their construction of splitting operations for composite units.

• 전기의세계
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• v.38 no.3
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• pp.26-35
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• 1989

발전플랜트의 입지조건과 경제성을 고려하여 원자력 및 화력발전소의 단위 설비용량이 커지면서 개개 발전소가 전력계통에 미치는 영향이 지대해지고 있다. 따라서 발전제어의 신뢰성 확보, 운전조작의 간편화와 송전의 장거리화로 전력계통의 안정성 향상 및 전압과 주파수의 일정한 유지가 중요한 문제로 대두되고 있다. 이러한 문제를 해결하기 위해서는 터빈제어, 보일러 제어 및 발전기제어 등으로 분리 제어되어 온 발전제어 계통을 통합하고 Digital화하여 발전계통과 송.배전계통을 연계, 제어해야 전기의 품질을 향상시킬 수 있을 것이다. 따라서 현재 전력계통에 보급되고 있는 원방집중 제어방식에 의한 전력계통의 조류 및 전압의 감시, 각 발전소의 운전상황, 송.배전선로의 상태등 모든 변수들은 취합, 전력계통의 상황에 따라 각 발전기의 출력 및 무효전력의 적장분배, 전압과 주파수 조정, 및 조상설비등 제어하는 전력계통 통합시스템이 적용되어야 할 것으로 본다.

• Journal of Digital Convergence
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• v.10 no.11
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• pp.323-329
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• 2012

This study examines the anchoring effect and the adjustment process of two variables(verbal information, cognition load) with snack products. In the results of this study, 1) we found the anchoring effect because the respondents predicted more the number of real units(goraebap) on the packaging painted 25 units than 5 ones. 2) We confirmed the moderating effect of verbal information. The difference of the number of real units predicted between the two packaging was decreased when the visual information was in company with verbal information. And 3) the moderating effect of cognitive load appeared because the more cognitive load was, the less the difference of the number of real units predicted was. This study has shown that we can reduce the errors and biases by adjusting the information frame or the cognitive load. This research provides a theoretical-practical implications to the marketing staffs like packaging designers as well as scholars to study consumer psychology.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.1621-1626
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• 2009

유역 내 수문학적 조건은 변화하게 되고 이러한 변화에 대처해야만 하는 유역관리자는 적절한 수자원의 운용에 어려움을 느끼게 된다. 이러한 수문학적 조건 변화는 갑작스런 인구증가, 산업발전 등에 의해서도 발생될 수 있으며, 이 경우 용수공급, 수력발전, 그리고 환경용수 등 서로 상충되는 이해관계를 조정하여 물이용의 효율성 극대화하는 범 유역 단위의 수자원 평가 및 배분이 고려되어야 한다. 더불어 정치적, 경제적, 그리고 환경목적에 부합된 새로운 수자원 개발을 위해서도 지속적인 수자원 통합관리를 위한 의사결정지원시스템은 매우 중요하다. 복잡하고 다양한 요구를 만족하기 위해서는 유역관리 대상을 통합 관리할 수 있는 효과적인 운영 도구가 필요하다. 본 연구에서는 장기 수자원계획시 댐군의 연계운영을 위한 물수지분석 모형으로 KModSim 모형을 선정하고, 이에 대한 댐군의 연계운영 효과를 비교 및 평가를 수행하고자 한다. KModSim 모형은 수자원배분에 관련된 물리적, 수문학적, 제도적, 그리고 행정적인 요구들을 동시에 만족하도록 디자인된 범용 우선순위 목적 선형최적화 모형으로, 조절점 및 저수지조작에 대한 우선순위를 지정할 수 있을 뿐만 아니라 reservoir balancing 방법을 통하여 저수지별로 용수공급 분담률을 지정할 수 있어 보다 현실에 가까운 연계운영이 가능하다. 따라서 본 연구에서는 의사결정 지원 모형들 중 네트워크 알고리즘을 이용하는 KModSim 모형을 이용하여 낙동강권역에 대한 수자원평가시 댐간 연계운영을 하였을 경우와 하지 않았을 경우를 모두 수행하여 비교 분석함으로써 급속히 변화하고 있는 수자원 이용환경에서 보다 합리적인 댐군의 연계운영 방안을 제시하고자 한다.

• The Journal of the Acoustical Society of Korea
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• v.42 no.5
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• pp.452-459
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• 2023

Acoustic tweezers represent an exceptionally versatile and adaptable collection of instruments that harness the intrinsic power of sound waves to manipulate a wide spectrum of bioparticles, ranging from minuscule extracellular vesicles at the nanoscale to more substantial multicellular organisms measuring in millimeters. This field of research has witnessed remarkable progress over the course of the past few decades, primarily in the domain of Single Beam Acoustic Tweezers (SBAT) which utilizes a single element transducer for its operation. Initially conceived as a method for particle trapping, SBAT has since evolved into an advanced platform capable of achieving precise translation of cells and organisms. Recent groundbreaking advancements have significantly enhanced the capabilities of SBAT, unlocking new functionalities such as particle/cell separation and controlled deformation of single cells. These advancements have propelled SBAT to the forefront of bioparticle/cell manipulation, gathering attention within the scientific community. This review explores the core principles of SBAT and how sound waves affect bioparticles/cells. We aim to build a strong conceptual foundation for understanding advancements in this field by detailing its principles and methodologies.

• The Journal of the Acoustical Society of Korea
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• v.39 no.5
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• pp.435-440
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• 2020

Single-beam acoustic tweezers that are capable of manipulating micron-size particles in a non-contact manner have been used in many biological and biomedical applications. Current single-beam acoustic tweezer systems developed for in vitro experiments consist of a function generator and a power amplifier, thus the system is bulky and expensive. This configuration would not be suitable for in vivo and clinical applications. Thus, in this paper, we present a portable single-beam acoustic tweezer system and its performances of trapping and manipulating micron-size objects. The developed system consists of an Field Programmable Gate Array (FPGA) chip and two pulsers, and parameters such as center frequency and pulse duration were controlled by a Personal Computer (PC) via a USB (Universal Serial Bus) interface in real-time. It was shown that the system was capable of generating the transmitting pulse up to 20 MHz, and producing sufficient intensity to trap microparticles and cells. The performance of the system was evaluated by trapping and manipulating 40 ㎛ and 90 ㎛ in diameter polystyrene particles.