• Title/Summary/Keyword: process of statistical problem solving

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A Comparative Study of Statistical Processes in Korean and U.S. Middle School Mathematics Textbooks (한국과 미국 중학교 수학 교과서의 통계적 문제해결과정 비교연구)

  • Jeon, Hyewon;Kim, Rae Young
    • Communications of Mathematical Education
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    • v.33 no.4
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    • pp.425-444
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    • 2019
  • Comparing to the U.S. mathematics textbooks, this study examines the opportunity to learn statistical processes represented in mathematics textbooks reflecting 2015 revised curriculum. Analyzing four different kinds of Korean middle school mathematics textbooks and two kinds of corresponding U.S. textbooks for seventh graders, we found that the tasks dealing with all the phases of statistical processes were found only in the U.S. textbooks while not even one task in such a case was not observed in the Korean textbooks. To make matters worse, the proportion of the tasks dealing with only one phase of statistical processes was 93.3% of all the tasks in Korean textbooks. In terms of types of tasks, the types of tasks were very homogeneous in Korean textbooks, usually Types FPR or PR while more various types of tasks were found in the U.S. textbooks such as Types FRI, PRI, FR, or RI. In views of features of each phase in statistical processes, Korean textbooks heavily focused only on some particular statistical behaviors such as 'formulating a problem', 'collecting data', 'transforming data', and 'analyzing a part of data.' The findings of this study provide meaningful implications for improving statistics education and developing mathematics textbooks to enhance students' statistical thinking and problem-solving ability.

An Analysis of Methods for Teaching Bar and Line Graphs in Elementary Mathematics Textbooks (초등 수학 교과서의 막대그래프와 꺾은선그래프 지도에 대한 분석)

  • Kim, Somin;Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.23 no.3
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    • pp.259-276
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    • 2020
  • The purpose of this study was to identify how didactic transposition (teaching and learning methods) has occurred and developed in the teaching of graphs in elementary school mathematics textbooks for third and fourth graders according to the previous and current curricula. In this study, we analyzed the lesson units on bar graphs and line graphs in mathematics textbooks for each curriculum, from the fifth curriculum to the 2015 revised curriculum. We also investigated the implication of statistics education deriving from didactic transposition (teaching and learning methods). We found that the timing of teaching bar and line graphs was rarely changed as the curriculum has changed. In addition, the use of technology was not actively implemented in school statistics, although the curriculum emphasized the use of technology in statistical education. Lastly, the textbooks did not address the variability and distribution of data and the sample or sampling process, which are significant statistical concepts. Based on the findings of this study, we suggest how to teach statistical graphs and what to consider for the next mathematics textbook.

Changes in Statistical Knowledge and Experience of Data-driven Decision-making of Pre-service Teachers who Participated in Data Analysis Projects (데이터 분석 프로젝트 참여한 예비 교사의 통계적 지식에 대한 변화와 데이터 기반 의사 결정의 경험)

  • Suh, Heejoo;Han, Sunyoung
    • Communications of Mathematical Education
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    • v.35 no.2
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    • pp.153-172
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    • 2021
  • Various competencies such as critical thinking, systems thinking, problem solving competence, communication skill, and data literacy are likely to be required in the 4th industrial revolution. The competency regarding data literacy is one of those competencies. To nurture citizens who will live in the future, it is timely to consider research on teacher education for supporting teachers' development of statistical thinking as well as statistical knowledge. Therefore, in this study we developed and implemented a data analysis project for pre-service teachers to understand their changes in statistical knowledge in addition to their experiences of data-driven decision making process that required them utilizing their statistical thinking. We used a mixed method (i.e., sequential explanatory design) research to analyze the quantitative and qualitative data collected. The findings indicated that pre-service teachers have low knowledge level of their understanding on the relationship between population means and sample means, and estimation of the population mean and its interpretation. When it comes to the data-driven decision making process, we found that the pre-service teachers' experiences varied even when they worked as a small group for the project. We end this paper by presenting implications of the study for the fields of teacher education and statistics education.

Improvement of Search Efficiency in Optimization Algorithm using Self-adaptive Harmony Search Algorithms (매개변수 자가적응 화음탐색 알고리즘의 성능 비교를 통한 최적해 탐색 효율 향상)

  • Choi, Young Hwan;Lee, Ho Min;Yoo, Do Guen;Kim, Joong Hoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.1
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    • pp.1-11
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    • 2018
  • In various engineering fields, determining the appropriate parameter set is a cumbersome and difficult task when solving optimization problems. Despite the appropriate parameter setting through parameter sensitivity analysis, there are limits to evaluating whether the parameters are appropriate for all optimization problems. For this reason, kinds of a Self-adaptive Harmony searches have been developed to solve various engineering problems by the appropriate setting of algorithm's own parameters according to the problem. In this study, various types of Self-adaptive Harmony searches were investigated and the characteristics of optimization were categorized. Six algorithms with a differentiation of optimization process were applied and compared with not only the mathematical optimization problem, but also the engineering problem, which has been applied widely in the algorithm performance comparisons. The performance of each algorithm was compared, and the statistical performance indicators were used to evaluate the application results quantitatively.

Analysis of TIMSS 2007 Released Items Common with TIMSS 1999, 2003 on the View of Curriculum (교육과정에 근거한 TIMSS 2007 공개 추이문항의 정답률 분석)

  • Kim, Sun-Hee;Kim, Kyung-Hee
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.99-121
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    • 2009
  • This study analyzed the difficulty trend of item which are common with TIMSS 1999, 2003, 2007 and are released since TIMSS 2007. The results show that the 7th curriculum has positive effects on the students' achievement in the domain such as spatial sense of rotation, ratio proportion percent, pattern, calculation of decimal numbers, concept of angle, area of triangle, and qualitative approach to graph. And the results leaved the consideration for the process of scoring, teaching method of statistical probability concept, and making table as a problem solving method.

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The Effect of Software Education on Middle School Students' Computational Thinking (소프트웨어 교육이 중학생의 컴퓨팅 사고력에 미치는 효과)

  • Lee, Jeongmin;Ko, Eunji
    • The Journal of the Korea Contents Association
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    • v.18 no.12
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    • pp.238-250
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    • 2018
  • The 2015 revised curriculum includes 'informatics' course including the process of building software aiming at cultivating creative and convergent ability. This study analyzes the competencies pursued in the revised curriculum and defines computational thinking as the main competency. The subjects of the study were the first grade of a middle school in the first semester of the 2018 school year. Of the 95 collected data, 83 data were used for analysis and the significance was confirmed by the paired t-test. Also, computational concept, computational practice and computational perspectives were confirmed through artifact-based interviews. As a result of statistical analysis, critical thinking, creativity, algorithmic thinking, and problem-solving significantly increased among sub-variables of computational thinking. Statistical results and interview results were analyzed to provide implications for design and implementation of software education in 'informatics' course.

Solutions for Design Creativity Barriers (디자인 창의성 저해요소의 해결방안)

  • Kim, Dong-Ha
    • The Journal of the Korea Contents Association
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    • v.20 no.11
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    • pp.15-27
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    • 2020
  • In the design process that focuses on problem solving, in general, two or three barriers to design creativity appear at the same time and are linked to increase difficulty. Because the design problem always arises in unusual, unique, weird, and difficult to define, it is not possible to extract the correct answer through the formula and the answer is always plural. This study aims to present solutions and prove their effectiveness as a follow-up study that seeks to overcome the representative obstacles to design creativity discussed in the previous study. To this end, a qualitative study was conducted to find solutions to the obstacles suggested in the previous study and to devise key solutions(creativity development cards). At the same time, a quantitative research methodology using experiments and statistical analysis was adopted. After grasping the core characteristics of an object using the creativity development card, it was able to approach the creative solution by utilizing the reductive analysis of the original such as transformation of the core characteristics, reconsideration of essential problems and intentional differentiation. As a result, it was confirmed that the proposed solutions were effective not only as a method of overcoming the barriers to design creativity, but also in improving creativity.

Machine-Learning Based Biomedical Term Recognition (기계학습에 기반한 생의학분야 전문용어의 자동인식)

  • Oh Jong-Hoon;Choi Key-Sun
    • Journal of KIISE:Software and Applications
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    • v.33 no.8
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    • pp.718-729
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    • 2006
  • There has been increasing interest in automatic term recognition (ATR), which recognizes technical terms for given domain specific texts. ATR is composed of 'term extraction', which extracts candidates of technical terms and 'term selection' which decides whether terms in a term list derived from 'term extraction' are technical terms or not. 'term selection' is a process to rank a term list depending on features of technical term and to find the boundary between technical term and general term. The previous works just use statistical features of terms for 'term selection'. However, there are limitations on effectively selecting technical terms among a term list using the statistical feature. The objective of this paper is to find effective features for 'term selection' by considering various aspects of technical terms. In order to solve the ranking problem, we derive various features of technical terms and combine the features using machine-learning algorithms. For solving the boundary finding problem, we define it as a binary classification problem which classifies a term in a term list into technical term and general term. Experiments show that our method records 78-86% precision and 87%-90% recall in boundary finding, and 89%-92% 11-point precision in ranking. Moreover, our method shows higher performance than the previous work's about 26% in maximum.

The Improvement of Hospital Food Service in Quality and Customer Satisfaction by Using 6-sigma Strategy (6시그마 기법을 통한 병원 급식 서비스 품질 개선 및 환자 만족도 향상)

  • Jeong, Su-Hyeon;Yeom, Hye-Seon;Son, Jeong-Min
    • Journal of the Korean Dietetic Association
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    • v.13 no.4
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    • pp.331-344
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    • 2007
  • This study was performed to improve the hospital food service in quality and customer satisfaction by using 6-sigma strategy which was processed by DMAIC methods. The research procedure was as follows; analyzing the main causes of customer dissatisfaction of food service by using numerical method, and then finding out the standardized problem solving methods, and finally reforming food service process. The effectiveness of 6-sigma activity was measured by ‘food service quality index’, ‘customer satisfaction index’ and ‘total food service satisfaction index’. Food service quality index was calculated by adding grade of soup temperature, food service, delivery time, and setting accuracy. Statistical data analyses were completed by using the Minitab Ver. 14. By performing 6 sigma activity, food service quality index was increased from 67 to 79 points (p<0.05) and customer satisfaction index also rise from 73 to 79points (p<0.05). Satisfaction of meals’ taste, diverse menu, food setting accuracy, remove of food service, overall food service were significantly improved(p<0.05). The results of capability analysis in food service quality index, customer satisfaction index, and total food service satisfaction index were improved 2.11$\sigma$ to 2.49$\sigma$, 1.88$\sigma$ to 2.43$\sigma$, and 2.04$\sigma$ to 2.47$\sigma$ respectively (p<0.05). Therefore this study showed that subjective food service improving process could be measured by objective numerical value which might be used for financial value in hospital management.

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A Study on IPA-based Competitiveness Enhancement Measures for Regular Freight Service (IPA분석을 이용한 정기화물운송업의 경쟁력 강화방안에 관한 연구)

  • Lee, Young-Jae;Park, Soo-Hong;Sun, Il-Suck
    • Journal of Distribution Science
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    • v.13 no.1
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    • pp.83-91
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    • 2015
  • Purpose - Despite the structural irrationality of multi-level transportation and the oil price rise, the domestic freight transportation market continues to grow, mirroring the rise in e-commerce and resultant increase in courier services and freight volumes. Several studies on courier services have been conducted. However, few studies or statistics have been published regarding regular freight services although they have played a role in the freight service market. The present study identifies the characteristics of regular freight service users to seek competitiveness enhancement measures specific to regular freight services. Research design, data, and methodology - IPA is a comparative analysis of the relative importance of and satisfaction with each attribute simultaneously. This study used IPA because it facilitates the process of analyzing importance and performance, deriving implications and a visual understanding of results. To enhance the competitiveness of regular freight services, this study surveyed its current users regarding the importance of the regular freight service factors. A total of 200 copies of a questionnaire were circulated and 190 copies were returned. In addition to demographics, respondents answered questions about the importance of and satisfaction with services on a 5-point Likert scale. Excluding 3 inappropriate copies, 187 out of 190 copies were analyzed. PASW Statistics 18 was used for statistical analysis. A total of 20 question items were selected for the service factors presented in the questionnaire based on the 1st pilot survey and previous studies. Results - According to the IPA performed to compare the importance of and satisfaction with service factors, both importance and satisfaction are high in the 1st quadrant, which involves the economic advantage of using regular freight services, quick arrival at destinations, weight freight handling, and less time constraints on freight receipt/dispatch. This area requires continuous management. Satisfaction is higher than importance in the 2nd quadrant, which involves the adequacy of freight, cost savings over ordinary courier services, notification on freight arrival, and freight tracking information. This area requires intensive investment and management. Satisfaction is lower than importance in the 3rd quadrant, involving the credit card payment system, courier delivery service, distance to freight handling sites, easy access to freight handling sites, and prompt problem solving. This area requires further intensive management. Both importance and satisfaction are low in the 4th quadrant, involving the availability of collection service, storage space at freight handling sites, kindness of collection/delivery staff, kindness of outlet staff, and easy delivery checks. This area is a set of variables should be excluded from priority control targets. Conclusions - Based on the IPA, service factors that need priority controls because of high importance and low satisfaction include the credit card payment system, delivery service, distance to freight handling sites, easy access to freight handling sites, and prompt problem solving. The findings need to be applied to future marketing strategies for regular freight services and for developing competitiveness enhancement programs.