• Title/Summary/Keyword: Abstraction Levels

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Mathematics Teachers' Abstraction Levels and Multiple Approaches: The Case of Multiplicative and Divisibility Structure of Numbers

  • Unal, Hasan
    • Research in Mathematical Education
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    • v.13 no.3
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    • pp.197-216
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    • 2009
  • The purpose of this study was to investigate middle and high school mathematics teachers' levels and multiple approaches in United States practicing their abstraction levels and, different strategies and method of solutions towards given number theory problems. The mathematics teachers taking part in this study are consisted of 25 members of online graduate and undergraduate course (MAE 5641 and MAE 4813) delivered through Online Learning System called as the Blackboard (http://www.blackboard.com). Data collection methods include journal entries, written solutions to problems, the teachers' reflections on said problems, and post interviews. Data analysis was done based on [Hazzan, O. & Zazkis, R. (2005). Reducing abstraction: The case of school mathematics. Educ. Stud. Math. 58(1), 101-119]. Analysis of students' written solutions revealed that transitions among the solution methods have major effect on abstraction levels. Elevation and reducing abstraction is a dynamic process.

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Decision Tree Classifier for Multiple Abstraction Levels of Data (다중 추상화 수준의 데이터를 위한 결정 트리 분류기)

  • Jeong, Min-A;Lee, Do-Heon
    • The KIPS Transactions:PartD
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    • v.10D no.1
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    • pp.23-32
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    • 2003
  • Since the data is collected from disparate sources in many actual data mining environments, it is common to have data values in different abstraction levels. This paper shows that such multiple abstraction levels of data can cause undesirable effects in decision tree classification. After explaining that equalizing abstraction levels by force cannot provide satisfactory solutions of this problem, it presents a method to utilize the data as it is. The proposed method accommodates the generalization/specialization relationship between data values in both of the construction and the class assignment phase of decision tree classification. The experimental results show that the proposed method reduces classification error rates significantly when multiple abstraction levels of data are involved.

Improving SoC Design Flow with Unified Modeling Language and HDL (UML과 HDL을 이용한 SoC 설계 개선)

  • Kim, Chang-Hoon;Hwang, Sang-Joon;Hong, Seung-Woo;Sung, Man-Young
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2005.07a
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    • pp.135-138
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    • 2005
  • HDL(Hardware Description Language) is the most important modem tools used to describe hardware, and becomes important as we move to higher levels of abstraction. The HDL has been made brisk use of in analog design, MEMS device[1-2], process related field as well as digital design. The most important characteristics of HDL is Abstraction which is the strongest tool that extend greatly designer's design ability. In this paper by the Modelling Continuum with hierarchical structure of abstraction, we apply UML(Unified Modeling Language) to SoC Design with HDL UML makes an easy and visual description of the various levels of abstraction, and gives designers good flexible modeling capabilty for SoC Design.

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Relationship between the HVM and Cut-Off Level of Means-End Chain (수단-목적사슬(Means-End)이론의 컷오프(Cut-off) 수준과 가치 맵(Hierarchical Value Map)의 관계 분석)

  • Han, Hag-Chin;Cho, Moon-Sik;Oh, Ju-Seong;Seo, Jung-Mo
    • The Journal of the Korea Contents Association
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    • v.11 no.4
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    • pp.414-427
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    • 2011
  • The Means-end theory has successfully been applied in academics circles and is one of the qualitative methodologies, aiming at classifying into groups based on the specific values that they pursue. The more specific purposes of this study is to identify the relationship between the levels of abstraction and HVM(Hierarchical Value Map) and to identify the statistical changes in frequency activated cell and ladders among A-C-V. And lastly, to suggest the HVM according to the levels of abstraction. The subjects of this study includes the 100 hikers who joined the hiking at least once a year for 2007. The results of analysis show that as the level of abstraction goes up, the HVM itself is depicted more simple and the loss of information is also occurred. Consequently, the decision of levels of abstraction is should be made on the basis of objective validity.

Hierarchical Task Planning through Abstraction of World Elements and Operators (월드 엘리먼트와 오퍼레이터의 추상화에 기반한 효율적인 계층적 작업계획)

  • Park, Young-Bin;Suh, Il-Hong;Choi, Byung-Uk
    • The Journal of Korea Robotics Society
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    • v.2 no.3
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    • pp.262-269
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    • 2007
  • Hierarchical Planning based on Abstraction of World Elements and Operators(HiPAWO) is proposed for mobile robots task planning, where abstraction of world elements is used for hierarchical planning and abstraction of operators is used for hierarchical decomposition of abstracted actions. Especially, a hierarchical domain theory based on JAH(Joint of Action Hierarchy)-graph is proposed to improve efficiency of planning, where a number of same actions are included in both adjacent hierarchical levels of domain theories to provide relationships between adjacent hierarchical levels. To show the validities of our proposed HiPAWO, experimental results are illustrated and will be compared with two other classical planning methods.

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The Concept Understanding of Infinity and Infinite Process and Reflective Abstraction (무한 개념이해 수준의 발달과 반성적 추상)

  • 전명남
    • The Mathematical Education
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    • v.42 no.3
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    • pp.303-325
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    • 2003
  • This study sought to provide an explanation of university students' concept understanding on the infinity and infinite process and utilized a psychological constructivist perspective to examine the differences in transitions that students make from static concept of limit to actualized infinity stage in context of problems. Open-ended questions were used to gather data that were used to develop an explanation concerning student understanding. 47 university students answered individually and were asked to solve 16 tasks developed by Petty(1996). Microgenetic method with two cases from the expert-novice perspective were used to develop and substantiate an explanation regarding students' transitions from static concept of limit to actualized infinity stage. The protocols were analyzed to document student conceptions. Cifarelli(1988)'s levels of reflective abstraction and Robert(1982) and Sierpinska(1985)'s three-stage concept development model of infinity and infinite process provided a framework for this explanation. Students who completed a transition to actualized infinity operated higher levels of reflective abstraction than students who was unable to complete such a transition. Developing this ability was found to be critical in achieving about understanding the concept of infinity and infinite process.

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Providing scalable single-operating-system NUMA abstraction of physically discrete resources

  • Baik Song An;Myung Hoon Cha;Sang-Min Lee;Won Hyuk Yang;Hong Yeon Kim
    • ETRI Journal
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    • v.46 no.3
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    • pp.501-512
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    • 2024
  • With an explosive increase of data produced annually, researchers have been attempting to develop solutions for systems that can effectively handle large amounts of data. Single-operating-system (OS) non-uniform memory access (NUMA) abstraction technology is an important technology that ensures the compatibility of single-node programming interfaces across multiple nodes owing to its higher cost efficiency compared with scale-up systems. However, existing technologies have not been successful in optimizing user performance. In this paper, we introduce a single-OS NUMA abstraction technology that ensures full compatibility with the existing OS while improving the performance at both hypervisor and guest levels. Benchmark results show that the proposed technique can improve performance by up to 4.74× on average in terms of execution time compared with the existing state-of-the-art opensource technology.

The Hierarchical Modeling Approach for Integrating the Enterprise Activity Model (기업 액티비티 모델 통합을 위한 계층적인 모델링 접근법)

  • Jun, H.B.;Suh, H.W.
    • Korean Journal of Computational Design and Engineering
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    • v.6 no.3
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    • pp.157-168
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    • 2001
  • The description of enterprise activities is the basis fur process improvement and information system building. To describe such activities, it is necessary to model the enterprise activities from the abstraction level to the implementation level in a stepwise and integrated form. For this reason, several modeling approaches have been proposed. However, most of them lacked the stepwise or integration aspects although some of them covered overall levels. This study proposes the hierarchical modeling approach for integrating the enterprise activity model from the abstraction level to the implementation level systematically. It is composed of five modeling levels such as function level, process level, task level, document workflow level, and event flow level. This study discusses the definition and characteristics of each level and compare our modeling frame with other modeling methodologies in case study.

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Power-conscious high level synthesis using loop folding (루프의 중첩을 이용한 저전력 상위 수준 합성)

  • 김대홍;최기영
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.34C no.6
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    • pp.1-10
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    • 1997
  • By considering low power design at higher levels of abstraction rather than at lower levels of abstraction, we can apply various transformation techniques to a system design with wider view and obtain much more effective power reduction with less cost and effort. In this paper, a transformation technique, called power - conscious loop folding is proposed for high level synthesis of a low power system.Our work is focused on reducing the power consumed by functional units in adata path dominated circuit through the decrease of switching activity. Te transformation algorithm has been implemented and integrated into HYPER, a high level synthesis system for experiments. In our experiments, we could achieve a pwoer reduction of up to 50% for data path dominated circuits.

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Design Approach with Higher Levels of Abstraction: Implementing Heterogeneous Multiplication Server Farms

  • Moon, Sangook
    • Journal of information and communication convergence engineering
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    • v.11 no.2
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    • pp.112-117
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    • 2013
  • In order to reuse a register transfer level (RTL)-based IP block, it takes another architectural exploration in which the RTL will be put, and it also takes virtual platforms to develop the driver and applications software. Due to the increasing demands of new technology, the hardware and software complexity of organizing embedded systems is growing rapidly. Accordingly, the traditional design methodology cannot stand up forever to designing complex devices. In this paper, I introduce an electronic system level (ESL)-based approach to designing complex hardware with a derivative of SystemVerilog. I adopted the concept of reuse with higher levels of abstraction of the ESL language than traditional HDLs to design multiplication server farms. Using the concept of ESL, I successfully implemented server farms as well as a test bench in one simulation environment. It would have cost a number of Verilog/C simulations if I had followed the traditional way, which would have required much more time and effort.