• 제목/요약/키워드: process of statistical problem solving

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A statistical study of mathematical thinkings and problem-solving abilities for logical-type problems with reference to secondary talented students (중등영재학생들의 수학적 사고 선호도와 논리형 문제의 해결능력에 관한 통계적 검증 연구)

  • Pak, Hong-Kyung
    • Journal of Korea Society of Industrial Information Systems
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    • v.14 no.4
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    • pp.198-204
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    • 2009
  • It is one of important and interesting topics in mathematics education to study the process of the logical thinking and the intuitive thinking in mathematical problem-solving abilities from the viewpoint of mathematical thinking. The main purpose of the present paper is to investigate on this problem with reference to secondary talented students (students aged 16~17 years). In particular, we focus on the relationship between the preference of mathematical thinking and their problem-solving abilities for logical-type problems by applying logistic regression analysis.

Development and Application of Statistical Programs Based on Data and Artificial Intelligence Prediction Model to Improve Statistical Literacy of Elementary School Students (초등학생의 통계적 소양 신장을 위한 데이터와 인공지능 예측모델 기반의 통계프로그램 개발 및 적용)

  • Kim, Yunha;Chang, Hyewon
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.717-736
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    • 2023
  • The purpose of this study is to develop a statistical program using data and artificial intelligence prediction models and apply it to one class in the sixth grade of elementary school to see if it is effective in improving students' statistical literacy. Based on the analysis of problems in today's elementary school statistical education, a total of 15 sessions of the program was developed to encourage elementary students to experience the entire process of statistical problem solving and to make correct predictions by incorporating data, the core in the era of the Fourth Industrial Revolution into AI education. The biggest features of this program are the recognition of the importance of data, which are the key elements of artificial intelligence education, and the collection and analysis activities that take into account context using real-life data provided by public data platforms. In addition, since it consists of activities to predict the future based on data by using engineering tools such as entry and easy statistics, and creating an artificial intelligence prediction model, it is composed of a program focused on the ability to develop communication skills, information processing capabilities, and critical thinking skills. As a result of applying this program, not only did the program positively affect the statistical literacy of elementary school students, but we also observed students' interest, critical inquiry, and mathematical communication in the entire process of statistical problem solving.

Analysis of the meaning of histogram and questioning in histogram tasks from a discursive perspective (담론적 관점에서 히스토그램의 의미와 과제 발문 분석)

  • Kim, Won
    • The Mathematical Education
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    • v.62 no.2
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    • pp.237-255
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    • 2023
  • The objective of this study is to explore the meaning generated through discourse in three different types of 1st-grade middle school textbooks in Korea and CMP textbook in the United States, specifically focusing on histograms. Through a discursive perspective, the study aims to analyze the characteristics of questioning within the stages of statistical problem-solving found in histogram tasks. The findings highlight several significant points. Firstly, variations exist in the definitions of histograms between Korean and US CMP textbooks. Secondly, diverse discursive structures contribute to the interpretation and understanding of histograms in textbooks. Thirdly, limitations are observed in the stages of statistical problem-solving reflected in histogram tasks. Lastly, distinctions are identified in the types of questioning employed in histogram tasks between Korean and US CMP textbooks. Building on these insights, the study suggests concrete ideas for enhancing the process of defining histograms and refining the questioning in histogram tasks.

An Analysis on Teaching of Data Collection in Elementary School Mathematics Textbooks for 3rd and 4th Grades from the Perspective of Statistical Problem Solving Education (통계적 문제해결 교육의 관점에 따른 초등학교 수학 교과서의 자료 수집 지도 방식 분석: 3~4학년군을 중심으로)

  • Tak, Byungjoo;Ko, Eun-Sung
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.329-341
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    • 2022
  • Data collection is crucial to the process of statistical problem solving since it influences the quality of statistical data. However, there is little instruction on data collection in the Korean mathematics curriculum. In this study, we examined how the data were collected and how the data collection method was taught in the Korean mathematics textbooks for 3rd and 4th grades. As a result, the data appeared in these textbooks were collected by using a variety of methods, including surveys, experiments, observations, and secondary data collections. There were not enough instructions on experiments and observations, compared to surveys and secondary data collection. Additionally, as each textbook works with a distinct contents while teaching data collection, it is expected that there would be variations in the levels that students learn in relation to data collection. Based on these findings, we draw some discussion points to determine how to improve the mathematics curriculum in order to effectively teach data collection in the elementary school.

A Study on Development of Analysis System for Industrial Calamity Prevention by the Non-Professional foreign Workers(E-9) (비전문 외국인근로자(E-9) 산업재해예방을 위한 분석시스템 개발에 관한 연구)

  • Park, Jae-Hyun;Park, Dong-Jun;Lee, Chul-Min
    • Journal of the Korea Safety Management & Science
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    • v.19 no.2
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    • pp.69-80
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    • 2017
  • This study is analyse method for Industrial disester prevention of E-9 foreign workers. To do this, We adapted tp TRIZ 's creative problem solving theory and AHP, QFD. TRIZ is determined some parameters for problem solving and selected the inventive principles for each parameters. So, We made new parameters and inventive principles under theory of the TRIZ process for reduced to the foreign worker's disaster rate. After, The derived parameters and the inventive principles are used to evaluate the importance of factors through the AHP, and determine the weight of the relation through QFD expansion. Finally. this paper applies statistical data according to the determined model process, analyzes the result and proposes improvement method for the prevention of disaster of foreign workers.

Differential Effect of Item Characteristics on Science Achievement Between Genders

  • Shin, Dong-Hee;Moon, Nan-Moo
    • Journal of The Korean Association For Science Education
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    • v.24 no.1
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    • pp.17-28
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    • 2004
  • The purpose of this study is to determine the patterns of differences between genders in science achievement. Eleventh grade, 140 female and male students were sampled from a school in Seoul. According to the analysis results of pilot study, 20 items were finally selected for the main study. To sharpen our interpretations of the factors and provide some confirmation, we supplemented the statistical analysis with a more detailed cognitive study of the items using think-aloud protocols and interviews with student test takers. The analysis of this study took into account the different item formats, contexts, and presentation styles. The findings are as follows: First, there was no significant gender difference between multiple-choice and open-ended items. Second, male students achieved significantly better in the context of everyday life in multiple-choice items. Third, male students favored items presented as written texts. Fourth, in problem-solving process, female students tend to apply their science concepts, whereas male students tend to apply their everyday experiences. The results of this investigation indicate that gender difference in science achievement depends heavily on item characteristics.

A Study on the Effect of Students' Problem Solving Ability and Satisfactions in Woodworking Product Making Program Using Design Thinking (목공 제품 제작 활동에서 디자인 씽킹의 활용이 학생들의 만족도와 문제해결력에 미치는 영향)

  • Kim, SeongIl
    • 대한공업교육학회지
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    • v.44 no.2
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    • pp.142-163
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    • 2019
  • The purpose of this study is to analyze the effect of problem solving ability and satisfaction of university students who are pre-technology teachers in woodworking products(birdhouse) making program using design thinking. Survey responses are analyzed by statistical programs(SPSS ver.20) such as satisfaction, confidence in problem solving, difficulties and causes of difficulties according to gender and grade of 33 students who conducted experience programs in extra-curricular programs to improve creativity and problem solving ability. The main conclusions of this study are as follows: First, the average of total satisfaction about experience programs is 4.39, which is somewhat high. The highest average response is 'feelings of accomplishment' and 'advice in the surroundings'(M = 4.46). There is no significant difference between male and female, and grade. The students interest in group-based different birdhouse woodworking together with the help of the surrounding people by the process of design thinking rather than practice to follow. Therefore, I'd like to recommend to other students due to this program shows a high self-confidence, sense of accomplishment, and satisfaction. Second, the total average response of students 'self-confidence for problem solving at the group based making experience program using design thinking is 3.80. In result of group activities, the students have self-confidence of 'problem-solving ability and deal with difficult situations'. Later, in making programs, complementing difficulties of making can enhance the satisfaction of the students. Third, in the survey questionnaire related with problem solving ability confidence, between 'I have the ability to solve many problems' and 'I always have the ability to cope with new and difficult business situations' show the highest correlation. Therefore, in order to improve self-confidence of problem solving ability, it is necessary to prepare teaching learning programs that can strengthen problem solving ability. Fourth, in the new design and making process not a given product design, the most difficult step is 'the process of rework and modifying idea product'. The main reason that students have difficulty in the production process is 'lack of knowledge and ability to produce'. To make various woodworking products using design thinking process, it can be helpful to make works if you have enough training on woodworking and design thinking before product making. The students' satisfaction about team-based learning using design thinking that helps improving creativity and problem solving ability is high. Therefore, the result of the research in other making activity program that design thinking is applied and analyzed can improve students' problem solving ability.

Using the Maximin Criterion in Process Capability Function Approach to Multiple Response Surface Optimization (다중반응표면최적화를 위한 공정능력함수법에서 최소치최대화 기준의 활용에 관한 연구)

  • Jeong, In-Jun
    • Knowledge Management Research
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    • v.20 no.3
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    • pp.39-47
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    • 2019
  • Response surface methodology (RSM) is a group of statistical modeling and optimization methods to improve the quality of design systematically in the quality engineering field. Its final goal is to identify the optimal setting of input variables optimizing a response. RSM is a kind of knowledge management tool since it studies a manufacturing or service process and extracts an important knowledge about it. In a real problem of RSM, it is a quite frequent situation that considers multiple responses simultaneously. To date, many approaches are proposed for solving (i.e., optimizing) a multi-response problem: process capability function approach, desirability function approach, loss function approach, and so on. The process capability function approach first estimates the mean and standard deviation models of each response. Then, it derives an individual process capability function for each response. The overall process capability function is obtained by aggregating the individual process capability function. The optimal setting is given by maximizing the overall process capability function. The existing process capability function methods usually use the arithmetic mean or geometric mean as an aggregation operator. However, these operators do not guarantee the Pareto optimality of their solution. Moreover, they may bring out an unacceptable result in terms of individual process capability function values. In this paper, we propose a maximin-based process capability function method which uses a maximin criterion as an aggregation operator. The proposed method is illustrated through a well-known multiresponse problem.

The Effect of a STEAM-based Elementary Mobile Algorithm Class for Flipped Learning on Students' Problem Solving Ability (플립러닝을 위한 STEAM 기반 초등 모바일 알고리즘 학습이 문제해결력에 미치는 영향)

  • Chae, Kyungjeon;Kim, Taeyoung
    • Journal of The Korean Association of Information Education
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    • v.21 no.4
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    • pp.463-474
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    • 2017
  • Software integration becomes very important in these days. Since the 4th industrial revolution has begun and influences its heavy effects on our daily life, software education has been introduced in the 2015 national revised curriculum. The purpose of this study is to verify the effects of a mobile web application for the elementary algorithm class based on STEAM on the problem solving process of elementary school students. To do so, in this study we constructed an algorithm learning contents based on STEAM for new software education and developed a mobile web application for flipped learning to improve their problem solving ability. Further, an experimental group and a controlled group are selected respectively from the 5th grade elementary school students. Then, a new flipped learning class using our mobile materials was applied to the experimental group while a traditional lecture class using the activity papers was applied to the controlled group. Finally the paired samples t-tests were carried out. As a result, we found that there was a statistically significant difference in problem solving process between the two groups. Based on our experimental research and the results of statistical analysis, the mobile web application class based on STEAM turned out to be effective in improving the problem solving ability of elementary school students.

Bayesian Multiple Comparisons for Normal Variances

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.29 no.2
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    • pp.155-168
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    • 2000
  • Regarding to multiple comparison problem (MCP) of k normal population variances, we suggest a Bayesian method for calculating posterior probabilities for various hypotheses of equality among population variances. This leads to a simple method for obtaining pairwise comparisons of variances in a statistical experiment with a partition on the parameter space induced by equality and inequality relationships among the variances. The method is derived from the fact that certain features of the hierarchical nonparametric family of Dirichlet process priors, in general, make it amenable to solving the MCP and estimating the posterior probabilities by means of posterior simulation, the Gibbs sampling. Two examples are illustrated for the method. For these examples, the method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison.

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