• Title/Summary/Keyword: problem situations

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An Investigation on the Understanding of the Mathematical Modelling Based on the Results of Domestic Articles since 2007 (2007년 이후 국내 논문 결과에 근거한 수학적 모델링 탐색)

  • Hwang, Hye Jeang;Min, Aram
    • Communications of Mathematical Education
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    • v.32 no.2
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    • pp.225-244
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    • 2018
  • Problem solving and its mathematical applications have been increasingly emphasized in school mathematics over the past years. Recently it is recommended that mathematical applications and modelling situations be incorporated into the secondary school curriculum. Many researchers on the approach have been conducted in Korea. This study is planning to investigate and establish the meaning of mathematical modelling and model, mathematical modelling process. And also it does the properties of problem situations introduced and dealt with in mathematical modelling activity. To accomplish this, this study is based on the analysis and comparison of those 24 articles. They are ones which have been published from 2007 to 2017 and are included in the five types of publication. Prior to this study, the previous study was conduct in 2007 with the same purpose. Namely, by the subject of 11 articles and 22 master dissertations published domestically from 1991 to 2005, the analytic and explorative study on the mathematical modelling and its understanding had been conducted.

Analysis on the Changes of Choices according to the Conditions in the Realistic Probability Problem of the Elementary Gifted Students (확률 판단 문제에서 초등 수학영재들의 선택에 미친 요인 분석과 교육적 시사점)

  • Lee, Seung Eun;Song, Sang Hun
    • School Mathematics
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    • v.15 no.3
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    • pp.603-617
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    • 2013
  • The major purpose of this article is to examine what kind of gap exists between mathematically gifted students' probability knowledge and the reality actually applying that knowledge and then analyze the cause of the gap. To attain the goal, 23 elementary mathematically gifted students at the highest level from G region were provided with problem situations internalizing a probability and expectation, and the problems are in series in which conditions change one by one. The study task is in a gaming situation where there can be the most reasonable answer mathematically, but the choice may differ by how much they consider a certain condition. To collect data, the students' individual worksheets are collected, and all the class procedures are recorded with a camcorder, and the researcher writes a class observation report. The biggest reason why the students do not make a decision solely based on their own mathematical knowledge is because of 'impracticality', one of the properties of probability, that in reality, all things are not realized according to the mathematical calculation and are impossible to be anticipated and also their own psychological disposition to 'avoid loss' about their entry fee paid. In order to provide desirable probability education, we should not be limited to having learners master probability knowledge included in the textbook by solving the problems based on algorithmic knowledge but provide them with plenty of experience to apply probabilistic inference with which they should make their own choice in diverse situations having context.

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The Allocation Precedence of the Limited Same Resource to the Concurrent Activities under Multiple Criteria (다기준하 동일 한정 자원의 배당 우선순위 결정)

  • Hwang, Jin-Ha
    • Korean Journal of Construction Engineering and Management
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    • v.9 no.5
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    • pp.159-167
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    • 2008
  • This study provides a effective approach to the construction management problem with the limited number or amount of available resources using the analytic hierarchy process. Construction management is a series of decision making processes for planning and controling of cost, time and quality as main objectives in construction works. When several activities need the limited same resource at the same time, it is very hard to decide the priority of the activities in the real situations. For that the scientific decision making method and procedure for resource allocation are required. This study solves the resource allocation problem by dealing with the decision making problem which the activities are distributed to multiple projects and under multiple criteria. The analytic hierarchy process is a method devised to solve complex multi-criteria decision problems. The result shows that this study can be effectively used to make decisions in situations involving multiple objectives by evaluating the prioritized ranking and degree of the activity alternatives based on the overall preferences.

Aspects of Meta-affect in Problem-Solving Process of Mathematically Gifted Children (수학 영재아의 문제해결 과정에 나타나는 메타정의의 특성)

  • Do, Joowon;Paik, Suckyoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.59-74
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    • 2019
  • According to previous studies, it shows that the metacognitive ability that makes the positive element of the problem solver positively affects the problem-solving process of mathematics. In order to accurately grasp causality, this study investigates the specific characteristics of the meta-affect factor in the process of problem-solving. To do this, we analyzed the types and frequency of data collected from collaborative problem-solving situations composed of 4th~6th grade mathematically gifted children in small group of two. As a result, it can be seen that the type of meta-affect in the problem-solving process of mathematically gifted children is related to the correctness rate of the problem. First, regardless of the success or failure of the problem-solving, the meta-affect appeared relatively frequently in the meta-affect types in which the cognitive factors related to the context of problem-solving appeared first, and acted as the meta-functional type of the evaluation and attitude. Especially, in the case of successful problem-solving of mathematically gifted children, meta-affect showed a very active function as meta-functional type of evaluation.

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Instructional Effects of a Problem Solving Model on Students' Achievement, Science Process Skills, and Perceptions of Science Activities (문제 해결식 교수 방법이 학생의 성취도, 과학 과정 기술, 과학 활동 인식에 미치는 효과)

  • Noh, Tae-Hee;Kim, Dong-Youn;Kim, Hye-Kyung;Hong, Eun-Kyung;Kang, Suk-Jin;Chae, Woo-Ki;Noh, Suk-Goo
    • Journal of The Korean Association For Science Education
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    • v.17 no.1
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    • pp.45-53
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    • 1997
  • The purpose of this study was to investigate the instructional effects of a problem solving model on students' achievement, science process skills, and perceptions of science activities. The problem solving model was developed on the basis of the SSCS (Search, Solve, Create, Share) problem solving model while considering Korean educational situations under a national curriculum. The model developed is composed of 4 stages; identify, solve, create, and share. In this research, the treatment and control groups (6 classes) were selected from a middle school in Seoul and taught about the separation of mixture for four weeks. Prior to instruction, the Group Assessment of Logical Thinking and the Learning Approach Questionnaire were administered, and their scores were used as covariate and blocking variable, respectively. During instruction, classroom observations for each group were conducted with a researcher-made checklist. Immediately following the instructions, students' achievement, science process skills, and perceptions of science activities were measured by a researcher-made achievement test, the Middle Grades Integrated Science Process Skills Test(MIPT), and the Perceptions of Science Activities Questionnaire, respectively. The results indicated that students in the treatment group achieved significantly better than those in the control group. Although students in the treatment group were found to use more science process skills correctly during their science activities, the MIPT scores of the treatment group were not significantly higher than those of the control group. No interaction with students' learning approach was found for both students' achievement and science process skills. On the questionnaire of students' perceptions of science activities, the treatment group showed more positive perceptions and interest than the control group. Educational implications are discussed.

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A Study on the Diagnosis Method of Knowledge Information in Computational Thinking using LightBot (라이트봇을 활용한 컴퓨팅 사고력에서 지식 정보의 진단 방안에 관한 연구)

  • Lee, Youngseok
    • Journal of the Korea Convergence Society
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    • v.11 no.8
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    • pp.33-38
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    • 2020
  • Modern society needs to think in new directions and solve problems by grafting problems from diverse fields with computers. Abstraction and automation of various problems using computing technology with your own ideas is called computational thinking. In this paper, we analyze how to diagnose and improve knowledge information based on computational thinking through the process of presenting a variety of problems in programming education situations and finding several problem-solving methods to solve them. To pretest the learners, they were diagnosed using a measurement sheet and a LightBot. By determining the correlation between the evaluation results and LightBot results, the learners' current knowledge statuses were checked, and the correlation between the evaluation results and the LightBot results, based on what was taught according to the problem-solving learning technique, was analyzed according to the proposed technique. The analysis of the group average score of the learners showed that the learning effect was significant. If the method of deriving and improving knowledge based on computational thinking ability for solving the problem proposed in this paper is applied to software education, it will induce student interest, thereby increasing the learning effect.

An Analysis of Informal Concepts of Average Found in Fifth and Sixth Graders (5, 6학년 학생들의 대표값에 대한 비형식적 개념 분석)

  • Lee Chun-Jae;Jeon Pyung-Kook
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.319-343
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    • 2006
  • The purpose of this study is to investigate how fifth and sixth graders recognize average and to find out suggestions for teaching/learning methods of average by examining which difference there is depending on the way of the word problem presentation. For the this purpose, was conducted experiment study with the way of the world problem presentation set up as experimental treatment. The conclusions drawn from the results obtained in the this study were as follows : First, since students who did not learn the regular course of average had various informal concepts already, it is needed to consider handling more various concepts of average in order to enable students to expand flexible thoughts. Second, compared with fifth and sixth graders showed a wide difference in informal concepts of average depending on the way of the word problem presentation. In expect data with given average, concepts of mean as algorithm, balance point, and mode indicated similar percentage, while in estimate average with given data, the percentage of students who showed the concept of mean was very high at 67.6%. That may be because problems related to mean in the current textbooks are items of 'estimate average with given data', so in types of 'estimate average with given data', students solve questions with mean as algorithm without considering situations of problems. This result suggests that it is necessary to diversify the way of the word problem presentation even in textbooks. Third, as a result of analyzing informal concepts of average, there was significant difference in grades. In addition, the results suggested that there would be difference in the concepts of average depending on gender or attributes of discrete quantity and continuous quantity.

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On Unicast Routing Algorithm Based on Estimated Path for Delay Constrained Least Cost (경로 추정 기반의 지연시간을 고려한 저비용 유니캐스트 라우팅 알고리즘)

  • Kim, Moon-Seong;Bang, Young-Cheol;Choo, Hyun-Seung
    • Journal of Internet Computing and Services
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    • v.8 no.1
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    • pp.25-31
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    • 2007
  • The development of efficient Quality of Service (QoS) routing algorithms in high speed networks is very difficult since divergent services require various quality conditions, If the QoS parameter we concern is to measure the delay on that link, then the routing algorithm obtains the Least Delay (LD) path, Meanwhile, if the parameter is to measure of the link cast, then it calculates the Least Cost (LC) path. The Delay Constrained Least Cast (DCLC) path problem of the mixed issues on LD and LC has been shown to be NP-hard. The path cost of LD path is relatively mere expensive than that of LC path, and the path delay of LC path is relatively higher than that of LD path in DCLC problem. In this paper. we propose the algorithm based on estimated path for the DCLC problem and investigate its performance, It employs a new parameter which is probabilistic combination of cost and delay, We have performed empirical evaluation that compares our proposed algorithm with the DCUR in various network situations.

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Study of Problem Design for PBL in Creative Engineering Design Subject (창의공학설계 교과에서 PBL을 위한 문제 개발에 관한 연구)

  • Lee, Keun-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.8
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    • pp.5242-5247
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    • 2014
  • The aim of this study was to specify the procedures of problem design for employing problem based learning (PBL) and designing problems for the learning content of the subject. The procedures for designing good problems are composed of the selection of educational contents, determining the learner's characteristics, identifying problems, setting roles and situations, and writing down problems. Using the procedures, four integration problems covering the contents of a creative engineering design subject were designed. The talent needed in a current industrial site can be fostered with PBL, not whole-class learning. A creative engineering design subject based on PBL was planned, which focused on the process of design problems. To make an effect of this PBL, studies applying this instructional design to many lectures should be implemented.

The Effect of Simulation Integrated with Problem Based Learning(S-PBL) on Self-leadership, Critical Thinking Disposition, Goal Commitment (PBL기반 시뮬레이션 융합교육이 간호대학생의 셀프리더십, 비판적 사고성향, 목표몰입에 미치는 효과)

  • Kwon, Soon-Jo
    • Journal of the Korea Convergence Society
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    • v.11 no.12
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    • pp.373-381
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    • 2020
  • The purpose of this study was performed to examine the effects of simulation integrated with problem based learning(S-PBL) on self-leadership, critical thinking disposition, goal commitment for nursing students. The design was a one group pre-post test. The subjects consisted of one group of 90 fourth year nursing students of K Colleage. The period for this study was from March to June in 2019. The collected data were analyzed by Paired t-test, Pearson correlation coefficient. This study showed significantly higher self-leadership(t=-16.22, p<.001), critical thinking disposition(t=-11.36, p<.001), goal commitment(t=-7.06, p<.001). There was a significant positive correlation between self-leadership and critical thinking disposition(r=.438, p<.001), self-leadership and goal commitment(r=.285, p<.001). In conclusion, this study show that integrated with problem based learning(S-PBL) can be used for improvement the self-leadership, critical thinking disposition, goal commitment. It is suggested to check the effect of simulation integrated with problem based learning applying various nursing situations in the future.