• Title/Summary/Keyword: 양적 추론

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Covariational Reasoning of Ninth Graders in Reciprocal Peer Tutoring Process (상호또래교수과정에서 나타나는 중학교 3학년 학생들의 공변 추론)

  • Gil, Seung Ho;Shin, Jaehong
    • Journal of the Korean School Mathematics Society
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    • v.23 no.3
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    • pp.323-349
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    • 2020
  • In this study, we conducted eight reciprocal peer tutoring classes where each student took either role of a tutor or a tutee to study covariational reasoning in ninth graders. Students were given the opportunity to teach their peers with their covariational reasoning as tutors, and at the same time to learn covariational reasoning as tutees. A heterogeneous group was formed so that scaffolding could be provided in the teaching and learning process. A total of eight reciprocal peer tutoring worksheets were collected: four quantitative graph type questions and four questions of the qualitative graph to the group. The results of the analysis are as follows. In reciprocal peer tutoring, students who experienced a higher level of covariational reasoning than their covariational reasoning level showed an improvement in covariational reasoning levels. In addition, students enhanced the completeness of reasoning by modifying or supplementing their own covariational reasoning. Minimal teacher intervention or high-level peer mediation seems to be needed for providing feedback on problem-solving results.

How does the middle school students' covariational reasoning affect their problem solving? (연속적으로 공변하는 두 양에 대한 추론의 차이가 문제 해결에 미치는 영향)

  • KIM, CHAEYEON;SHIN, JAEHONG
    • The Mathematical Education
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    • v.55 no.3
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    • pp.251-279
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    • 2016
  • There are many studies on 'how' students solve mathematical problems, but few of them sufficiently explained 'why' they have to solve the problems in their own different ways. As quantitative reasoning is the basis for algebraic reasoning, to scrutinize a student's way of dealing with quantities in a problem situation is critical for understanding why the student has to solve it in such a way. From our teaching experiments with two ninth-grade students, we found that emergences of a certain level of covariational reasoning were highly consistent across different types of problems within each participating student. They conceived the given problem situations at different levels of covariation and constructed their own quantity-structures. It led them to solve the problems with the resources accessible to their structures only, and never reconciled with the other's solving strategies even after having reflection and discussion on their solutions. It indicates that their own structure of quantities constrained the whole process of problem solving and they could not discard the structures. Based on the results, we argue that teachers, in order to provide practical supports for students' problem solving, need to focus on the students' way of covariational reasoning of problem situations.

A Case Study on the Students' Covariational Reasoning in the Continuous Functional Situations (함수적 상황에 대한 초등학생들의 공변추론 사례연구)

  • Hur, Joonho;Park, Mangoo
    • Education of Primary School Mathematics
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    • v.21 no.1
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    • pp.55-73
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    • 2018
  • The purpose of this study is to investigate the effects of cognitive activity on cognitive activities that students imagine and cope with continuously changing quantitative changes in functional tasks represented by linguistic expressions, table of value, and geometric patterns, We identified covariational reasoning levels and investigated the characteristics of students' reasoning process according to the levels of covariational reasoning in the elementary quantitative problem situations. Participants were seven 4th grade elementary students using the questionnaires. The selected students were given study materials. We observed the students' activity sheets and conducted in-depth interviews. As a result of the study, the students' covariational reasoning level for two quantities that are continuously covaried was found to be five, and different reasoning process was shown in quantitative problem situations according to students' covariational reasoning levels. In particular, students with low covariational level had difficulty in grasping the two variables and solved the problem mainly by using the table of value, while the students with the level of chunky and smooth continuous covariation were different from those who considered the flow of time variables. Based on the results of the study, we suggested that various problems related with continuous covariation should be provided and the meanings of the tasks should be analyzed by the teachers.

A comparative analysis on ratio and rate in elementary mathematics textbooks of Korea and Singapore (비와 비율에 대한 한국과 싱가포르 초등학교 수학 교과서 비교 분석)

  • Lee, Jiyoung;Seo, Eunmi
    • The Mathematical Education
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    • v.61 no.3
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    • pp.499-519
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    • 2022
  • Ratio and rate are key topics in the area of 'Patterns', but there are various perspectives on them. This study compared and analyzed the perspectives of Korean and Singaporean mathematics textbooks on ratio and rate, and explored how teaching and learning methods develop according to each perspective in terms of quantitative reasoning. To this end, we reorganized the analysis criteria based on some studies, and analyzed the textbooks of the two countries in relation to context, relationship, and representation. The results of the study are as follows. Regarding the context, there were differences in the situations, types of units and use of units of the problems presented in textbooks. In terms of relationship, there were differences in the types of two quantities and relationship of quantities. Lastly, there were differences in the representation of ratio and rate. Through these results, we found that elementary mathematics textbooks in Korea and Singapore take different perspectives on ratio and rate. In particular, the perspective taken by Korean textbooks on ratio and rate had unique points different from that of other previous studies. Considering this Korean perspective, we suggested some implications that could help improve textbooks related to ratio and rate and teach them meaningfully.

A Review of Research Trends of Supervison Working Alliance for Counseling in Korea (상담에서 수퍼비전 작업동맹의 국내 연구 동향)

  • Jeong, Ji-ae
    • Journal of Practical Engineering Education
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    • v.10 no.1
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    • pp.63-72
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    • 2018
  • The study was conducted to analyze domestic research trend and suggest directions of research with focusing on the importance of working alliance which relation between supervisor and supervisee in counseling supervision. The study analyzed 12 researches by chronologically, research object, counselor's factor, research method. The result is as follows. First, the research data was scant because there was only 12 articles since 2006. Second, the research, which object was supervisor(83.3%) and supervisee(16.7%) and supervisor(0%) was insufficiency with regard to the research of supervisee(83.3%). In addition to, the research about observable state and observable trait was insufficient, while inference state(56.3%) and inference trait(27.1%) was the highest in the research about Counselor's trait which object was supervisor(17.3%). Third, the method of research was quantitate research(100%), there is no qualitative research. At the last, discussion of the result, limitation of the study, follow study were proposed.

A Comparative Study on Korean Zero-shot Relation Extraction using a Large Language Model (거대 언어 모델을 활용한 한국어 제로샷 관계 추출 비교 연구)

  • Jinsung Kim;Gyeongmin Kim;Kinam Park;Heuiseok Lim
    • Annual Conference on Human and Language Technology
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    • 2023.10a
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    • pp.648-653
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    • 2023
  • 관계 추출 태스크는 주어진 텍스트로부터 두 개체 간의 적절한 관계를 추론하는 작업이며, 지식 베이스 구축 및 질의응답과 같은 응용 태스크의 기반이 된다. 최근 자연어처리 분야 전반에서 생성형 거대 언어모델의 내재 지식을 활용하여 뛰어난 성능을 성취하면서, 대표적인 정보 추출 태스크인 관계 추출에서 역시 이를 적극적으로 활용 가능한 방안에 대한 탐구가 필요하다. 특히, 실 세계의 추론 환경과의 유사성에서 기인하는 저자원 특히, 제로샷 환경에서의 관계 추출 연구의 중요성에 기반하여, 효과적인 프롬프팅 기법의 적용이 유의미함을 많은 기존 연구에서 증명해왔다. 따라서, 본 연구는 한국어 관계 추출 분야에서 거대 언어모델에 다각적인 프롬프팅 기법을 활용하여 제로샷 환경에서의 추론에 관한 비교 연구를 진행함으로써, 추후 한국어 관계 추출을 위한 최적의 거대 언어모델 프롬프팅 기법 심화 연구의 기반을 제공하고자 한다. 특히, 상식 추론 등의 도전적인 타 태스크에서 큰 성능 개선을 보인 사고의 연쇄(Chain-of-Thought) 및 자가 개선(Self-Refine)을 포함한 세 가지 프롬프팅 기법을 한국어 관계 추출에 도입하여 양적/질적으로 비교 분석을 제공한다. 실험 결과에 따르면, 사고의 연쇄 및 자가 개선 기법 보다 일반적인 태스크 지시 등이 포함된 프롬프팅이 정량적으로 가장 좋은 제로샷 성능을 보인다. 그러나, 이는 두 방법의 한계를 지적하는 것이 아닌, 한국어 관계 추출 태스크에의 최적화의 필요성을 암시한다고 해석 가능하며, 추후 이러한 방법론들을 발전시키는 여러 실험적 연구에 의해 개선될 것으로 판단된다.

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Detection of Imprinted Quantitative Traits Loci (QTL) for Reproductive and Growth Traits in Region of IGF II Gene on fig Chromosome (돼지 염색체상의 IGF II 유전자 인접 부위에서 번식 및 성장형질에 연관된 Imprinting 양적형질 유전자 좌위(QTL)의 탐색)

  • Lee, Hakkyo
    • Korean Journal of Animal Reproduction
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    • v.25 no.4
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    • pp.295-304
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    • 2001
  • Characterization of quantitative trait loci (QTL) was investigated in the experimental crosses between Berkshire and Yorkshire breed. A total of 525 F$_2$ progenies from 65 matting of F$_1$ Parents were produced. Phenotypic measurements included average daily gain (ADG), average back fat thickness (ABF), and loin eye area (LEA). To identify the presence of QTL for reproductive performance, birth weight (BWT) and body weight at 16 days (16DAY) were included as indirect trait. QTL segregation was deduced using 8 markers assigned to chromosome 2 (SSC2). Quantitative trait locus analyses were performed using interval mapping by regression under line-cross model. Presence of imprinting was tested under the statistical model that separated the expression of paternally and maternally inherited alleles. To set the evidence of QTL presence, significance thresholds were derived by permutation following statistical tests, respectively. Genome scan revealed significant evidence for three quantitative trait loci (QTL) affecting growth and body compositions, of which two were identified to be QTL with imprinting expression mode near the ICF II gene region. For average back fat thickness (ABF), a paternally expressed QTL was found on chromosome 2 (SSC2). A paternally expressed QTL affecting loin eye area (LEA) was found in the region of SSC2 where evidence of imprinted QTL was found for average back fat thickness (ABF). For average daily gain (ADG), QTL expressed with Mendelian mode was found on chromosome 2 (SS2). Also, QTL affecting average daily gain (ADC), was identified to be expressed with Mendelian express mode.

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Revisited meta-analysis of the effects of practical reasoning instruction on students' achievements in Home Economics classes (가정과수업에서 실천적추론수업의 학생성취에 대한 효과성 연구의 메타분석)

  • Yu, Nan Sook
    • Journal of Korean Home Economics Education Association
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    • v.30 no.3
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    • pp.151-173
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    • 2018
  • The purposes of this study was to identify the magnitude and direction of the effects of Practical Reasoning Instruction (PRI) on students' achievements in Home Economics classes using the meta-analysis method and to examine whether the effects of PRI vary across publication status, study design, year of the studies, school level, gender of students, type of students' achievements, content area, location where the interventions of PRI were conducted, and duration. Thirty-four primary studies with 44 effect sizes were analyzed with calculation method of Becker(1988). A funnel plot method result revealed no publication bias. The results of this meta-analysis are as follows. First, PRI was more effective than traditional instruction on students' achievements. A summary statistic was 0.60 with a standard error of .074, which means that an increase of about two-third of a standard deviation beyond what would be expected from traditional instruction was gained from PRI intervention. Second, categorical and regression analyses were employed to find the sources of variance and moderators that predict the effects of PRI. The moderator analyses revealed no statistically significant effects of publication status, study design, school level, gender of students, type of students' achievements, and duration. Content area, location where the interventions of PRI were revealed to be moderators. It was concluded that PRI was effective in improving students' achievements regardless of publication status, study design, year of the studies, school level, gender of students, type of student achievement, and duration.

Visual Representations for Improving Proportional Reasoning in Solving Word Problems (비례 추론을 돕는 시각적 모델에 대하여: 초등 수학 교과서의 비례식과 비례배분 실생활 문제를 대상으로)

  • Yim, Jae Hoon;Lee, Hyung Sook
    • Journal of Educational Research in Mathematics
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    • v.25 no.2
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    • pp.189-206
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    • 2015
  • There has been a recurring call for using visual representations in textbooks to improve the teaching and learning of proportional reasoning. However, the quantity as well as quality of visual representations used in textbooks is still very limited. In this article, we analyzed visual representations presented in a Grade 6 textbook from two perspectives of proportional reasoning, multiple-batches perspective and variable-parts perspective, and discussed the potential of the double number line and the double tape diagram to help develop the idea 'things covary while something stays the same', which is critical to reason proportionally. We also classified situations that require proportional reasoning into five categories and provided ways of using the double number line and the double tape diagram for each category.

Improving Intrusion Detection System based on Hidden Markov Model with Fuzzy Inference (퍼지 추론을 이용한 은닉 마르코프 모델 기반 침입탐지 시스템의 성능향상)

  • 정유석;박혁장;조성배
    • Proceedings of the Korean Information Science Society Conference
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    • 2001.04a
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    • pp.766-768
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    • 2001
  • 정보통신의 질적 양적 팽창과 더불어 컴퓨터 시스템에 대한 침입 또한 증가하고 있다. 침입탐지시스템은 이를 해결하기 위한 대표적인 수단으로, 최근 관련된 연구의 방향이 오용탐지 기법에서 비정상 행위탐지 기법으로 옮겨가고 있는 상황이다. HMM(Hiddem Markov Model)은 비정상행위탐지 기법에 사용되어 다양한 척도(measure)에 대한 정상행위를 효과적으로 모델링할 수 있는 방법이다. 다양한 척도의 결과값들로부터 침입을 판정하는 방법에 대한 연구는 미흡하다. 본 논문에서는 SOM(self organizing map)을 통해 축약된 데이터를 HMM으로 모델링한 비정상행위기반 침입탐지 시스템의 성능을 향상시키기 위해 퍼지 침입판정 방법을 제시한다. 실험결과 척도에 따른 결과들의 기계적 결합보다 향상된 결과를 얻었으며, 퍼지 관련 파라메터의 개선을 통해 더욱 좋은 효과를 기대할 수 있었다.

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