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Using ChatGPT as a proof assistant in a mathematics pathways course

  • Hyejin Park;Eric D. Manley
    • The Mathematical Education
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    • v.63 no.2
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    • pp.139-163
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    • 2024
  • The purpose of this study is to examine the capabilities of ChatGPT as a tool for supporting students in generating mathematical arguments that can be considered proofs. To examine this, we engaged students enrolled in a mathematics pathways course in evaluating and revising their original arguments using ChatGPT feedback. Students attempted to find and prove a method for the area of a triangle given its side lengths. Instead of directly asking students to prove a formula, we asked them to explore a method to find the area of a triangle given the lengths of its sides and justify why their methods work. Students completed these ChatGPT-embedded proving activities as class homework. To investigate the capabilities of ChatGPT as a proof tutor, we used these student homework responses as data for this study. We analyzed and compared original and revised arguments students constructed with and without ChatGPT assistance. We also analyzed student-written responses about their perspectives on mathematical proof and proving and their thoughts on using ChatGPT as a proof assistant. Our analysis shows that our participants' approaches to constructing, evaluating, and revising their arguments aligned with their perspectives on proof and proving. They saw ChatGPT's evaluations of their arguments as similar to how they usually evaluate arguments of themselves and others. Mostly, they agreed with ChatGPT's suggestions to make their original arguments more proof-like. They, therefore, revised their original arguments following ChatGPT's suggestions, focusing on improving clarity, providing additional justifications, and showing the generality of their arguments. Further investigation is needed to explore how ChatGPT can be effectively used as a tool in teaching and learning mathematical proof and proof-writing.

The Effect of Flipped Learning on the 3D Computer Graphics Class (기초 3D 그래픽 교과에 대한 플립드 러닝 적용 효과 분석)

  • Kang, Seungmook
    • Journal of Korea Multimedia Society
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    • v.19 no.2
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    • pp.460-468
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    • 2016
  • The teaching method of colleges and universities is traditionally lectures then professors has described orally in class and students has listened to accompanying with papers, mid-terms, and final exams. Jon Bergmann and Aaron Sams have developed new way of teaching called flipped learning; Classwork at home and homework in class. By adapting the method, this paper researched how efficient it is and what factors tutors should consider for better results. Specifically this research examined the flipped learning applying to basic 3D graphics class of J University in Korea and students answered surveys and took a couple of tests. Since the most students of the class did not have any background of 3D graphics, it was the first time for them to work with 3 dimensional space coordinate system. As a result, the research showed positive side of flipped learning like increasing peers' interest to the class and positive attitude about video lectures watched before coming to class.

Phonological Awareness Activities Using Story Books : Effects on Reading, Self-Concept, and Learning Motivation in an After-School Program for 1st and 2nd Grade Low Income Children (동화를 이용한 음운인식활동이 저소득층 초등 방과후 교실 1, 2 학년 아동의 읽기, 학습동기 및 자아개념에 미치는 영향)

  • Lee, Jeehyun;Kim, Youjung;Lee, Jung A
    • Korean Journal of Child Studies
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    • v.27 no.5
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    • pp.123-141
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    • 2006
  • The phonemic awareness program included construction of 45 activities emphasizing various sounds in speech and letter names using a storybook. The subjects were thirty 1st and 2nd grade low-income(15 experimental and 15 control group) children attending an after-school program in Seoul. Pre- and post-tests assessed children's reading, self-concept, and learning motivation. The experimental group children had rich opportunity to deal with and discuss sounds, syllables, phonemes, and the Korean alphabet names during storybook reading, games, and play over a 12 week period, while the control group children were provided with worksheets, subject tutoring, and homework guidance. Results showed that the phonemic activities were an effective and useful way to enhance children's reading ability, self-concept, and learning motivation.

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Function Evaulation and Related factors in The Elderly (노인의 기능 평가 및 관련요인)

  • Kang, Jeom-Deok;Kim, Jong-Bong
    • Journal of Korean Physical Therapy Science
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    • v.8 no.1
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    • pp.813-820
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    • 2001
  • Objectives: The objective of this study was to investigate function evaulation and related factors in the elderly. Methods: Korean version of ADL and IADL were measured for 40 normal in the Elderly in July 15-20. 2000. Their ages were 65 or more in years. 14 items from Modified Barthel Index and 14 items from Modified Lambeth Disability Screening Questionnaire were used. Results: The frequency of disability was the highest in Heavy homework(85.0%) folliwed by Walking on level 50 yards or moer(5.0%), Up&down stairs for 1 flight(5.0%) in 28 items from Modified Barthel Index and Modified Lambeth Disability Screening Questionnaire. Conclusions: Results indicated that no smoking and drinking at onset had high Modified Barthel Index. Modified Lambeth Disability Screening Questionnaire was associated with age.

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Development of Smart Education System using Digital Pen (디지털 펜을 활용한 스마트 교육 시스템 개발)

  • Cho, Sang Gyu;Cho, Young Im
    • Journal of Engineering Education Research
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    • v.18 no.6
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    • pp.52-56
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    • 2015
  • Usually, students write on a paper using writing materials and submit it to teachers when they do a homework or take an exam. However, there are temporal and spacial constraints because teachers and students should be in the same place at the time in this system. In addition, it is hard for teachers to maintain numerous papers from students. Applying a digital pen produced by Pen Generations Corporation to education system, we developed a smart education system transmitting image data from written papers using digital pen. As a result, teachers and students can use this system without any constraints. In addition, teachers are able to maintain their papers from students more effectively.

Influence of Family and Work Experience on Occupational Aspirations of Adolescents: A Path Model (가족배경변인과 시간제취업경험이 청소년의 직업소망에 미치는 영향: 경로분석을 중심으로)

  • Ok, Kyung Hee
    • Korean Journal of Child Studies
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    • v.14 no.2
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    • pp.149-168
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    • 1993
  • The purpose of this study was to develop a theoretical model from which to test the influence of family background and work experience on the level of rural high school students' (N=381) occupational aspirations. In the basic model, mother's occupation directly influenced occupational aspirations. Father's education influenced occupational aspirations directly and also indirectly through students' academic achievement. The number of working hours per week had a direct and negative influence on academic achievement. In a different path, working hours had an indirect positive influence on academic achievement through parents' different treatment which especially focused on the fact that parents gave students more freedom compared to the relationship they shared before the students began to work. Enjoying school, studying homework, and extra reading were influenced by students' number of working hours. Two variables, extra reading and job characteristics, predict the social acceptance work attitudes which are a direct predictor of occupational aspirations. Academic achievement had a greater total effect on the level of occupational aspirations than any other variables.

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Home-Based Work and the Tasks of Family Resource Management (재택근로와 가족자원경영학의 과제)

  • 김외숙
    • Journal of Family Resource Management and Policy Review
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    • v.2 no.2
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    • pp.83-92
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    • 1998
  • The purpose of this study is to review the concept of home-based work, introduce the activities of American home economists on home-based work and propose the tasks of family resource management for home-based work. Home-based works is defined as the work which generates income at home and classified 3 types: home-based business, employed home-based work and homework. The activities of American scholars are reviewed focusing on the Coorperative Regional Research Project, NE-167, entitled "At-Home Income Generation: Impact on Management, Productivity and Stability in Rural/Urban Families"and the participants of the project. Finally the tasks of family resource management are pursued in terms of research, education and service.d service.

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Development of Life-Scale for Middle Aged full time homemakers (중년기 전업주부의 생활진단 척도개발)

  • 지영숙;이광자;곽소현
    • Journal of Family Resource Management and Policy Review
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    • v.7 no.1
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    • pp.23-39
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    • 2003
  • The purpose of this study is to develop the life scale of the middle aged homemakers. The life scale are composed of spouse relation 8 items, child education relation 7 items, home economy relation 4 items, homework relation 3 items, selfish health relation 6 items, parent relation 3 items, and interest and social activity relation 4 items. The reliability coefficient of the development scale was Cronbach'α =.83 and the correlations of each demesne was high. For the better future life in this study, the middle aged homemakers are needed the improvement of conjugal relations, the child education, the health, the interest, and the enlargement of social relations. This life scale can help to evaluate their middle age, and to the planning of energetic healthful future, and useful to understanding characteristic and the developmental task of middle aged homemakers.

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Online searching education and training : present situation, problems and recommendations (온라인탐색 교육의 실태와 문제점 및 개선방안)

  • 장혜란
    • Journal of Korean Library and Information Science Society
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    • v.28
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    • pp.263-286
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    • 1998
  • To investigate how the online searching was taught in the departments of Library and Information Science, a survey was done to the professors teaching information retrieval course. Questionnaires were mailed to 32 professors and 26 returned. Information retrieval course, one of the central course attended by almost all of the students, covers online searching in depth. Lecture, hard-on practice, and homework were three favored methods of teaching. Among the 22 topics to be covered in online teaching, respondents showed substantially higher consensus except for sections of information technology and service management. However, respondents showed big differences in hours of hand-on practice and the systems used. Free databases through Internet used dominantly. The chronic problem of terminal and communication is solved by using campus-wide facilities. But the problem of teaching assistance is serious. Based on the results, recommendations to improve online searching education are provided.

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The Study on the Effects of Applying Cooperative Learning Model, Student Teams-Achievement Division to Engineering Education (공학교육에서의 팀성취분담 협동학습 모형(STAD)의 적용과 효과)

  • Baek, Hyun-Deok;Park, Jin-Won
    • Journal of Engineering Education Research
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    • v.15 no.6
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    • pp.34-42
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    • 2012
  • Problem solving by homework assignment is a process of practicing what were discussed in classrooms and thus is considered as an essential part of learning procedure in engineering education. We introduced the concept of cooperative learning, Student Teams-Achievement Division(STAD), to improve the students' learning efficiency by in-class problem solving. The instructor explained fundamental concepts, and lecture materials were handed out to compensate for the time of in-class team activity. Brief tests were given after every chapter, and team-based additional credits were given for the improvement comparing the average of previous tests of each student. This attempt of modified STAD was evaluated to have brought about a significant improvement in students' academic achievement, in addition to activating classroom atmosphere.