• Title/Summary/Keyword: 함수적 사고

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The Statistical Correlation Between Continuous Driving Time and Drowsy Accidents (연속주행시간과 졸음사고간 통계적 상관관계 분석)

  • KIM, Ducknyung;KIM, Sujin;CHOI, Jaeheon;CHO, Jongseok
    • Journal of Korean Society of Transportation
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    • v.35 no.5
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    • pp.423-433
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    • 2017
  • During recent 5 years, it was recorded that 20% of total accident frequency and 30% of total number of death have been occurred due to drowsy driving. Drowsy driving accident is result from the loss of driving ability due to driver's accumulated fatigue. Continuous driving time can be measured as a surrogate variable to quantify the level of fatigue. The main purpose of this research is to investigate statistical correlation between the proportion of continuous driving vehicle (more than 2 hours) and the number of drowsy accidents. To carry this out, continuous driving time was measured using GPS route-guidance trajectory data. Also, accident frequency, traffic volume and segment length were collected to estimate safety performance function (SPF) for Jungbunearuk expressway in Korea. Through various types of estimated SPFs, statistical correlation was analyzed based on estimated statistical indices. This research can provide theoretical background for enforcement to regulate commercial vehicle driver's continuous driving time. In addition, throughout the trajectory data expansion, it is expected that strategy for anti-drowsy driving facilities installation can be established based on the suggested methodology.

Characteristics of Algebraic Thinking and its Errors by Mathematically Gifted Students (수학영재의 대수적 사고의 특징과 오류 유형)

  • Kim, Kyung Eun;Seo, Hae Ae;Kim, Dong Hwa
    • Journal of Gifted/Talented Education
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    • v.26 no.1
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    • pp.211-230
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    • 2016
  • The study aimed to investigate the characteristics of algebraic thinking of the mathematically gifted students and search for how to teach algebraic thinking. Research subjects in this study included 93 students who applied for a science gifted education center affiliated with a university in 2015 and previously experienced gifted education. Students' responses on an algebraic item of a creative thinking test in mathematics, which was given as screening process for admission were collected as data. A framework of algebraic thinking factors were extracted from literature review and utilized for data analysis. It was found that students showed difficulty in quantitative reasoning between two quantities and tendency to find solutions regarding equations as problem solving tools. In this process, students tended to concentrate variables on unknown place holders and to had difficulty understanding various meanings of variables. Some of students generated errors about algebraic concepts. In conclusions, it is recommended that functional thinking including such as generalizing and reasoning the relation among changing quantities is extended, procedural as well as structural aspects of algebraic expressions are emphasized, various situations to learn variables are given, and activities constructing variables on their own are strengthened for improving gifted students' learning and teaching algebra.

A New Functional Synthesis Method for Macro Quantum Circuits Realized in Affine-Controlled NCV-Gates (의사-제어된 NCV 게이트로 실현된 매크로 양자회로의 새로운 함수 합성법)

  • Park, Dong-Young;Jeong, Yeon-Man
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.4
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    • pp.447-454
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    • 2014
  • Recently most of functional synthesis methods for quantum circuit realization have a tendency to adopt the declarative functional expression more suitable for computer algorithms, so it's difficult to analysis synthesized quantum functions. This paper presents a new functional representation of quantum circuits compatible with simple architecture and intuitive thinking. The proposal of this paper is a new functional synthesis development by using the control functions as the power of corresponding to affine-controlled quantum gates based on the mathematical substitution of serial-product matrix operation over the target line for the arithmetic and modulo-2 ones between power functions of unitary operators. The functional synthesis algorithm proposed in this paper is useful for the functional expressions and synthesis using both of reversible and irreversible affine-controlled NCV-quantum gates.

퍼지멤버쉽 함수를 이용한 환경중 방사능 비상 사고의 모델링

  • 정효준;황원태;서경석;김은한;한문희
    • Proceedings of the Korean Environmental Sciences Society Conference
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    • 2003.05a
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    • pp.407-408
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    • 2003
  • 다중입력조건에 따른 단일 출력퍼지시스템인 인구밀도와 도로조건에 따른 소개속도의 모델링시스템에서는 인구밀도와 도로조건의 퍼지멤버쉽에 대한 소개속도의 상승작용을 확인할 수 있었다. 그러나 도로조건을 평가하는 방법을 포장과 비포장으로만 구분함으로 인해 발생하는 퍼지추론과정에서 비탄력성은 향후 도로조건에 대한 세밀한 조사를 통하여 퍼지멤버쉽함수의 형태를 재고해야 할 것으로 판단된다. 실제 원자력시설에서 발생할 수 있는 사고의 경우 방사능에 노출될 수 있는 일반대중은 방사능에 대한 깊은 지식을 가지지 못하는 경우가 대부분이다. 따라서 차폐효과 혹은 소개속도를 정량적으로 파악하기 힘든 경우가 많다. 따라서, 이러한 퍼지시스템은 방사선 비상대응 시스템을 개발하는 의사결정자나 비상시 방사능에 노출되는 사람들의 대응 방식을 모델링하는데 유용할 것으로 판단된다.

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A Hierarchical Approach for Diagnose of Safety Performance and Factor Identification for Black Spots (Black on Suwon-city) (사고다발지점의 안전성능진단 및 위치별 사고요인분석(수원시를 중심으로))

  • Kim, Suk-Hui;Jang, Jeong-A;Choe, Gi-Ju
    • Journal of Korean Society of Transportation
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    • v.23 no.1
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    • pp.9-20
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    • 2005
  • Accident type and/or factor identification is important in accident reduction planning. The aim of this paper is to apply the hierarchical approach with binomial distribution and logistic regression analysis to find out types and factors, respectively. Based on 2001 Suwon city black spot data, a binomial distribution modeling approach has been applied to diagnose the black spots, with the help of safety performance modeling approach has been applied to diagnose the black spots, with the help of safety performance function. Then, the logistic regression analysis has been employed to identify the critical factors. Some accident remedies are also reviewed in the light of the model outcomes. The proposed research framework sheds light on a different accident related research and can also be successfully applied to similar studies and sites.

Design of education program for mathematical-gifted student and Teaching-learning strategy - Focusing on functions - (수학영재교육 프로그램의 설계 및 교수-학습전략 -함수중심으로-)

  • Lee Joong-Kwoen;Lee Jea-Hyun
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.61-73
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    • 2006
  • Studying functions is the fundamental that makes people understand complicate social events by using mathematical symbol system. But there are not enough program design and Teaching-learning strategy for mathematical-gifted student. So this research aim to design education program and teaching-learning strategy in functions area for mathematical-gifted student. 1 use real life-related problems to make students develop their problem-solving skill. And in this research I encourage students to study functions by grouping, discussion and presentation for self-directed teaming.

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Analysis on Characteristics of University Students' Problem Solving Processes Based on Mathematical Thinking Styles (수학적 사고 스타일에 따른 함수의 문제해결과정의 특징 분석)

  • Choi, Sang Ho;Kim, Dong Joong;Shin, Jaehong
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.153-171
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    • 2013
  • The purpose of this study is to investigate characteristics of students' problem solving processes based on their mathematical thinking styles and thus to provide implications for teachers regarding how to employ multiple representations. In order to analyze these characteristics, 202 university freshmen were recruited for a paper-and-pencil survey. The participants were divided into four groups on a mathematical-thinking-style basis. There were two students in each group with a total of eight students being interviewed. Results show that mathematical thinking styles are related to defining a mathematical concept, problem solving in relation to representation, and translating between mathematical representations. These results imply methods of utilizing multiple representations in learning and teaching mathematics by embodying Dienes' perceptual variability principle.

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Children's Proportional Reasoning on Problem Type of Proportion according to Ill-Structured Degree (비(非)구조화된 정도에 따른 비례 문제 유형에서 나타난 초등학생의 비례추론에 관한 연구)

  • Kim, Min Kyeong;Park, Eun Jeung
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.719-743
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    • 2013
  • Proportional reasoning is considered as a difficult concept to most elementary school students and might be connect to functional thinking, algebraic thinking, and mathematical thinking later. The purpose of this study is to analyze the sixth graders' development level of proportional reasoning so that children's problem solving processes on different proportional problem items were investigated in a way how the problem type of proportion and the degree of ill-structured affect to their levels. Results showed that the greater part of participants solved problems on the level of proportional reasoning and various development levels according to type of problem. In addition, they showed highly the level of transition and proportional reasoning on missing value problems rather than numerical comparison problems.

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New Directions for School Algebra in ICT based Society (ICT시대의 대수교육의 방향과 과제)

  • Chang, Kyung-Yoon
    • School Mathematics
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    • v.9 no.3
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    • pp.409-426
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    • 2007
  • The relevance of secondary school algebra focused on paper and pencil manipulation has been reconsidered along with the expansion of universal education and the development of ICT such as computer or calculators. This study was designed to investigate the issues and trends of the recent algebra so as to provide implementations for algebra curriculum in Korea. The focus of algebra education has being shifted from paper pencil manipulation to algebraic thinking. The early algebra or informal algebra is one of the important traits of revolution, and the role of ICT is integrated in newly developed curricula. In Korea, algebra education has been retaining the traditional line even though the national curriculum documents allows ICT for instruction. The reasons of these discrepancies were analyzed and the tasks for the new curriculum in accordance with the current trends were suggested in this paper.

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Development of Time-based Safety Performance Function for Freeways (세부 집계단위별 교통 특성을 반영한 고속도로 안전성능함수 개발)

  • Kang, Kawon;Park, Juneyoung;Lee, Kiyoung;Park, Joonggyu;Song, Changjun
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.20 no.6
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    • pp.203-213
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    • 2021
  • A vehicle crash occurs due to various factors such as the geometry of the road section, traffic, and driver characteristics. A safety performance function has been used in many studies to estimate the relationship between vehicle crash and road factors statistically. And depends on the purpose of the analysis, various characteristic variables have been used. And various characteristic variables have been used in the studies depending on the purpose of analysis. The existing domestic studies generally reflect the average characteristics of the sections by quantifying the traffic volume in macro aggregate units such as the ADT, but this has a limitation that it cannot reflect the real-time changing traffic characteristics. Therefore, the need for research on effective aggregation units that can flexibly reflect the characteristics of the traffic environment arises. In this paper, we develop a safety performance function that can reflect the traffic characteristics in detail with an aggregate unit for one hour in addition to the daily model used in the previous studies. As part of the present study, we also perform a comparison and evaluation between models. The safety performance function for daily and hourly units is developed using a negative binomial regression model with the number of accidents as a dependent variable. In addition, the optimal negative binomial regression model for each of the hourly and daily models was selected, and their prediction performances were compared. The model and evaluation results presented in this paper can be used to determine the risk factors for accidents in the highway section considering the dynamic characteristics. In addition, the model and evaluation results can also be used as the basis for evaluating the availability and transferability of the hourly model.