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Cognitive Psychological Approaches on Analysing Students' Mathematical Errors (인지심리학의 관점에서 수학적 오류의 분석가능성 탐색)

  • 김부미
    • Journal of Educational Research in Mathematics
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    • v.14 no.3
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    • pp.239-266
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    • 2004
  • This article presents new perspectives for analysing and diagnosing students' mathematical errors on the basis of Pascaul-Leone's neo-Piagetian theory. Although Pascaul-Leone's theory is a cognitive developmental theory, its psychological mechanism gives us new insights on mathematical errors. We analyze mathematical errors in the domain of proof problem solving comparing Pascaul-Leone's psychological mechanism with mathematical errors and diagnose misleading factors using Schoenfeld's levels of analysis and structure and fuzzy cognitive map(FCM). FCM can present with cause and effect among preconceptions or misconceptions that students have about prerequisite proof knowledge and problem solving. Conclusions could be summarized as follows: 1) Students' mathematical errors on proof problem solving and LC learning structures have the same nature. 2) Structures in items of students' mathematical errors and misleading factor structures in cognitive tasks affect mental processes with the same activation mechanism. 3) LC learning structures were activated preferentially in knowledge structures by F operator. With the same activation mechanism, the process students' mathematical errors were activated firstly among conceptions could be explained.

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Performance Evaluation of LDPC-LDPC Product Code for next Magnetic Recording Channel (차세대 자기기록 채널을 위한 LDPC-LDPC 곱 부호의 성능 평가)

  • Park, Donghyuk;Lee, Jaejin
    • Journal of the Institute of Electronics and Information Engineers
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    • v.49 no.11
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    • pp.3-8
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    • 2012
  • Two-dimensional product code has been studied for correcting burst errors on the storage systems. An RS-LDPC product code consists of an RS code in horizontal direction and an LDPC code in vertical direction. First, we detect the position of burst errors by using RS code, then LDPC code corrects the errors by using the burst error positions. In storage system, long burst errors are occurred by various reason. So, we need a strong code for correcting the long burst errors. RS-LDPC product code is good for long burst errors. However, as the storage density grows the length of the burst errors will be longer. Thus, we propose an LDPC-LDPC product code, it is strong for correcting the very long burst errors. Also, the proposed LDPC-LDPC product code performs better than RS-LDPC product code when the random errors are occurred, because a row direction LDPC code performs better than row direction RS code.

Analyzing eighth grade students' errors in the constructed-response assessment: A case of algebra (중학교 2학년 서술형 평가 문항 반응에서 나타난 오류 분석 : 대수 영역을 중심으로)

  • Kim, Rae Young;Lee, Min Hee
    • Journal of Educational Research in Mathematics
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    • v.23 no.3
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    • pp.389-406
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    • 2013
  • The purpose of this study is to analyze eighth grade students' errors in the constructed-response items to improve teaching and learning of mathematics in schools. By analyzing 99 students' responses to nine constructed-response items, we found several types of students' errors in their responses to the assessment items involving with mathematical reasoning and representations, problems within realistic contexts, and mathematical connections. Not only a single error but also multiple errors (a combination of two or more types of errors) were discovered. In particular, high achieving students showed more simple errors than multiple errors while low achieving students had more multiple errors in various kinds.

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Compensation of Thermal Errors for the CNC Machine Tools (II) - Analysis of Error Compensation Algorithm for the PC-NC Controller - (CNC 공작기계의 열변형 오차 보정 (II) - PC-NC제어기용 오차보정 알고리즘 분석 -)

  • 이재종;최대봉;박현구
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.10a
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    • pp.214-219
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    • 2001
  • One of the major limitations of productivity and quality in metal cutting is the machining accuracy of machine tools. The machining accuracy is affected by geometric errors, thermally-induced errors, and the deterioration of the machine tools. Geometric and thermal errors of machine tools should be measured and compensated to manufacture high quality products. In metal cutting, the machining accuracy is more affected by thermal errors than by geometric errors. In this study, the compensation device and temperature-based algorithm have been presented in order to compensate thermal error of machine tools under the real-time. The thermal error is modeled by means of angularity errors of a column and thermal drift error of the spindle unit which are measured by the touch probe unit with a star type styluses, a designed spherical ball artifact, and five gap sensors. In order to compensate thermal characteristics under several operating conditions, experiments performed with five gap sensors and manufactured compensation device on the horizontal machining center.

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Experimental Verification on a Motion Error Analysis Method of Hydrostatic Bearing Tables Using a Transfer Function

  • Park, Chun-Hong;Oh, Yoon-Jin;Lee, Chan-Hong;Joon hee Hong
    • International Journal of Precision Engineering and Manufacturing
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    • v.4 no.2
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    • pp.57-63
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    • 2003
  • A new method using a transfer function was proposed in the previous paper for analyzing motion errors of hydrostatic tables. The calculated motion errors by the new method, named as the transfer (unction method (TFM), were compared with the results by the conventional multi pad method, and the validity of the proposed method was theoretically verified. In this paper, the relationship between rail form error and motion errors of a hydrostatic table is examined theoretically in order to comprehand so-called 'the averaging effect of an oil film', and the characteristics of the motion errors in a hydrostatic table is tested. The tested hydrostatic table has three single-side pads in the vertical direction and three pairs of double-sides pads in the horizontal direction. The motion errors are tested for three rails which have different form errors. The experimental results are compared with the theoretical results calculated by the TFM, and both results show good agreement. From the results, it is shown that the TFM is very effective to analyze the motion errors of hydrostatic tables.

Computing and Reducing Transient Error Propagation in Registers

  • Yan, Jun;Zhang, Wei
    • Journal of Computing Science and Engineering
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    • v.5 no.2
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    • pp.121-130
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    • 2011
  • Recent research indicates that transient errors will increasingly become a critical concern in microprocessor design. As embedded processors are widely used in reliability-critical or noisy environments, it is necessary to develop cost-effective fault-tolerant techniques to protect processors against transient errors. The register file is one of the critical components that can significantly affect microprocessor system reliability, since registers are typically accessed very frequently, and transient errors in registers can be easily propagated to functional units or the memory system, leading to silent data error (SDC) or system crash. This paper focuses on investigating the impact of register file soft errors on system reliability and developing cost-effective techniques to improve the register file immunity to soft errors. This paper proposes the register vulnerability factor (RVF) concept to characterize the probability that register transient errors can escape the register file and thus potentially affect system reliability. We propose an approach to compute the RVF based on register access patterns. In this paper, we also propose two compiler-directed techniques and a hybrid approach to improve register file reliability cost-effectively by lowering the RVF value. Our experiments indicate that on average, RVF can be reduced to 9.1% and 9.5% by the hyperblock-based instruction re-scheduling and the reliability-oriented register assignment respectively, which can potentially lower the reliability cost significantly, without sacrificing the register value integrity.

A new approach to deal with sensor errors in structural controls with MR damper

  • Wang, Han;Li, Luyu;Song, Gangbing;Dabney, James B.;Harman, Thomas L.
    • Smart Structures and Systems
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    • v.16 no.2
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    • pp.329-345
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    • 2015
  • As commonly known, sensor errors and faulty signals may potentially lead structures in vibration to catastrophic failures. This paper presents a new approach to deal with sensor errors/faults in vibration control of structures by using the Fault detection and isolation (FDI) technique. To demonstrate the effectiveness of the approach, a space truss structure with semi-active devices such as Magneto-Rheological (MR) damper is used as an example. To address the problem, a Linear Matrix Inequality (LMI) based fixed-order $H_{\infty}$ FDI filter is introduced and designed. Modeling errors are treated as uncertainties in the FDI filter design to verify the robustness of the proposed FDI filter. Furthermore, an innovative Fuzzy Fault Tolerant Controller (FFTC) has been developed for this space truss structure model to preserve the pre-specified performance in the presence of sensor errors or faults. Simulation results have demonstrated that the proposed FDI filter is capable of detecting and isolating sensor errors/faults and actuator faults e.g., accelerometers and MR dampers, and the proposed FFTC can maintain the structural vibration suppression in faulty conditions.

The Effectiveness of Error Reporting Promoting Strategy on Nurse's Attitude, Patient Safety Culture, Intention to Report and Reporting Rate (오류보고 촉진전략이 간호사의 오류보고에 대한 태도, 환자안전문화, 오류보고의도 및 보고율에 미치는 효과)

  • Kim, Myoung-Soo
    • Journal of Korean Academy of Nursing
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    • v.40 no.2
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    • pp.172-181
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    • 2010
  • Purpose: The purpose of this study was to examine the impact of strategies to promote reporting of errors on nurses' attitude to reporting errors, organizational culture related to patient safety, intention to report and reporting rate in hospital nurses. Methods: A nonequivalent control group non-synchronized design was used for this study. The program was developed and then administered to the experimental group for 12 weeks. Data were analyzed using descriptive analysis, $\chi^2$-test, t-test, and ANCOVA with the SPSS 12.0 program. Results: After the intervention, the experimental group showed significantly higher scores for nurses' attitude to reporting errors (experimental: 20.73 vs control: 20.52, F=5.483, p=.021) and reporting rate (experimental: 3.40 vs control: 1.33, F=1998.083, p<.001). There was no significant difference in some categories for organizational culture and intention to report. Conclusion: The study findings indicate that strategies that promote reporting of errors play an important role in producing positive attitudes to reporting errors and improving behavior of reporting. Further advanced strategies for reporting errors that can lead to improved patient safety should be developed and applied in a broad range of hospitals.

An Analysis of Korean Word Spacing Errors Made by Chinese Learners (중국인 한국어 학습자의 글쓰기에 나타난 띄어쓰기 오류 양상 및 지도 방향)

  • Wang, Yuan
    • Korean Educational Research Journal
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    • v.40 no.1
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    • pp.59-79
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    • 2019
  • The purpose of this study is to analyze, through questionnaires and interviews, spacing errors in Chinese students' Korean writing and to propose changes for the teaching methods used for Chinese learners by analyzing the causes of errors. By analyzing the learners' writing samples, a total of 148 space errors were found. The rates of errors (77.6%) that were made by combining separate words is much higher than the errors (22.4%) that were made by placing a space within a compound word. Among the error types, "noun + noun," "observer (type) + dependent noun," and postpositional particle errors occur most frequently. In this paper, we propose the direction of spacing starting from the deductive side and the inductive side for nouns and investigations.

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A study on Common Errors in Digital Impressions: (An Example of CEREC$^{(R)}$ AC) (디지털 인상 채득 시 흔히 발생하는 오류에 관한 연구 - CEREC$^{(R)}$ AC의 사례 중심으로 -)

  • Kim, Jae-Hong;Kim, Ji-Hwan;Kim, Hae-Young
    • Journal of Technologic Dentistry
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    • v.33 no.3
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    • pp.211-218
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    • 2011
  • Purpose: The purpose of the study was a quantitative evaluation of common errors in digital impression procedure using CEREC$^{(R)}$ AC system. Methods: Two-hundreds digital impression data comprising 174 inlays, 26 onlays by CEREC$^{(R)}$ AC in-office CAD/CAM system were obtained from a dental clinic. One evaluator assessed errors of the digital impression data and divided into five categories of errors: inappropriate scanner positioning (ISP), improper handling with a scanner (IHS), irregular powder arrangement (IPA), improper cavity preparation (ICP), and insufficient scanned data (ISD). Results: The most common errors were IPA(21%), and ISP and ISD were followed by 17% respectively. IHS was found in 14.5% of all digital impression data. ICP comprising only 6.5% was the rarest. Conclusion: Most errors were due to inaccurate manipulation with an intraoral scanner or improper cavity preparation for scanning. A deliberate manipulation to prevent common errors mentioned may deliver an optimal result in the digital impression procedure.