• Title/Summary/Keyword: analyzing mathematics

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An Effectiveness Analysis of the Development and Application of a Prescribed Program for the Mixed Calculation of Natural Numbers (자연수 혼합계산에서 처방 프로그램의 개발.적용에 대한 효과 분석)

  • Jeong, Gi-Geun;Kim, Min-Jeong;Roh, Eun-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.10 no.4
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    • pp.471-485
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    • 2007
  • In this study, a 27 class hour prescribed program for the fourth grade students is to be developed and applied by extracting the contents associated with basic operations studied prior to the fourth grade level of mixed calculations. After analyzing the results of the research, the following conclusions are obtained. First, the prescribed program for mixed calculations brought about the improvement in the mixed calculation problem solving ability of the students. Second, applying the prescribed program for mixed calculation resulted in an increase in students' interest and concentration on problem solving. In synthesis of the above conclusions, the development and application of the prescribed program for mixed calculation improved the students' concentration on the problem and the students' problem solving ability.

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An Analysis of the PCK of Teachers and Their Educational Practice about Division of Decimals (소수 나눗셈에 대한 교사의 PCK와 실제 수업의 분석)

  • Kim, Bang-Jin;Ryu, Sung-Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.533-557
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    • 2011
  • The purpose of this study was to understand PCK to improve professionalism of teachers and derive implications about proper teachings methods. For achieving these research purposes, different PCK and teaching methods in class of three teachers(A, B, C) were compared and analyzed targeting division of decimals for 6th grade. For this study, criteria of PCK analysis of teachers was set, PCK questionnaires were produced and distributed, teachers had interviews, PCK of teachers were analyzed, division of decimals class for 6th grade was observed and analyzed, and PCK of teachers and their classes were compared. The implications deriving from comparative analyzing PCK and classes are as follows. First of all, there was a close relation between PCK and classes, leading to a need for efforts of increasing PCK of teachers in every field in order to realize effective classes. Secondly, self study and in-service training are needed to enhance PCK of teachers. Thirdly, more of expertises and materials have to be provided on the instruction manual for teachers.

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Development of the Items for the Assessment of Mathematical Thinking (수학적 사고력 측정을 위한 수학 평가 도구의 개발)

  • Shin, Joon-Sik;Ko, Jung-Hwa;Park, Moon-Hwan;Park, Sung-Sun;Seo, Dong-Yeop
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.619-640
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    • 2011
  • The study aims the introducing the items for the assessment of mathematical thinking including mathematical reasoning, problem solving, and communication and the analyzing on the responses of the 5th grade pupils. We categorized the area of mathematical reasoning into deductive reasoning, inductive reasoning, and analogy; problem solving into external problem solving and internal one; and communication into speaking, reading, writing, and listening. And we proposed the examples of our items for each area and the 5th grade pupils' responses. When we assess on pupil's mathematical reasoning, we need to develop very appropriate items needing the very ability of each kind of mathematical reasoning. When pupils solve items requesting communication, the impact of the form of each communication seem to be smaller than that of the mathematical situation or sturucture of the item. We suggested that we need to continue the studies on mathematical assessment and on the constitution and utilization of cognitive areas, and we also need to in-service teacher education on the development of mathematical assessments, based on this study.

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Performing an Instructional Simulation Using a Socrates' Method by the Connection of In-Service Teachers Education and Pre-Service Teachers Education (현직교사 교육과 예비교사 교육의 연계를 통한 산파법 관점에서의 모의수업 실행 사례)

  • Kim, Nam Hee
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.509-525
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    • 2016
  • This study is a follow-up study of the previous research for teacher education(Kim Nam Hee, 2006, 2009, 2013, 2014). This study was conducted with third grade students of the college of education in 2016. In this study, we guided to allow pre-service teachers to develop their teaching research ability and teaching practical skills using the results obtained from the in-service teachers training courses. Processes mainly performed in this study are as follows; learning the theory on Socrates' method, case study for thought experiment activities, instructional simulation using a Socrates' method, class analysis, textbook analysis, peer evaluation, self-assessment. Observing tutorial examples by in-service teachers, pre-service teachers were expanding their limited knowledge and experience. By analyzing the results obtained from this research processes, we checked the points to put more attention in future pre-service teachers education.

A Case Study on Lessons for Counting, Addition and Subtraction of Natural Number with Counting Board for Students with Autism Spectrum Disorder (수판을 이용한 자폐성 장애 학생의 수세기와 덧셈, 뺄셈의 지도 사례)

  • Jung, YooKyung
    • Education of Primary School Mathematics
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    • v.21 no.4
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    • pp.415-430
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    • 2018
  • The purpose of this study was to get reflections on teaching numbers and operations for special education from analyzing lessons for counting, addition and subtraction of natural number with counting board for students with autism. In order to attain these purposes, this study analyzed the lessons for counting, addition and subtraction of natural number to students with autism in 4th and 6th graders in special class at regular elementary school using counting board for one hour per week for 30 weeks. According to the analysis, counting board that reveals the structure of numbers becomes an effective mathematical materials, and using the counting strategy and computation strategy can be an effective method of teaching, and it is possible to teach mathematical communication to students with autism. From this result, this study presented suggestions for teaching counting, addition and subtraction for students with disabilities.

An analysis of types and functions of questions presented in data and chance area of elementary school mathematics textbooks (초등수학 교과서의 자료와 가능성 영역에 제시된 발문의 유형과 기능 분석)

  • Do, Joowon
    • The Mathematical Education
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    • v.60 no.3
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    • pp.265-279
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    • 2021
  • In this study, by analyzing of types and functions of questions presented in Data and Chance area of the mathematics textbooks for grades 1-6 of the 2015 revised curriculum, the characteristics of the questions presented in the textbook were identified, and implications for teaching and learning related to the questions in this textbook were obtained. Types and functions of the presented questions showed different proportions of appearance according to the grade clusters, and this seems to be related to the learning contents for each grade clusters and the characteristics of grade clusters. In addition, it can be seen that the functions of questions are related to the types of questions. Teachers should have pedagogical content knowledge about Data and Chance area as well as developmental characteristics for each grade clusters. In addition, the teacher should present an suitable question for the level of grade clusters and the nature of the content to be taught so that effective learning can be achieved based on the understanding of the characteristics and functional characteristics of each type of questions. The results of this study can contribute to statistical teaching in a progressive direction by providing a foundation for textbook writing and teaching/learning.

Analyzing the changes of elementary pre-service teacher's noticing occurred in the process of participating in the actual class and learning community (실제 수업 및 학습공동체 참여 과정에서 나타난 초등 예비교사의 주목하기 변화 분석)

  • Jung, Hye-Yun;Seo, Yumin;Han, Jooho;Seo, Minju
    • Journal of the Korean School Mathematics Society
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    • v.25 no.3
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    • pp.279-306
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    • 2022
  • The purpose of this case study is to get an implication on elementary pre-service teacher education programs by exploring how a pre-service teacher's noticing changes within a learning community. The pre-service teacher participated in a learning community with researchers. Data includes recordings and transcription of actual class and pre- and post discussion in the learning community, the pre-service teacher's reflection essays, field notes, and students' worksheets. Results are as follows. First, the pre-service teacher's attending moved from the result of tasks to students' mathematical thinking. Second, the pre-service teacher's interpretation changed from a lack of diversity and specificity of evidence to diversity and specificity. Third, the pre-service teacher's decision-makings changed from unproductive deciding to productive deciding.

A semi-analytical and numerical approach for solving 3D nonlinear cylindrical shell systems

  • Liming Dai;Kamran Foroutan
    • Structural Engineering and Mechanics
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    • v.87 no.5
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    • pp.461-473
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    • 2023
  • This study aims to solve for nonlinear cylindrical shell systems with a semi-analytical and numerical approach implementing the P-T method. The procedures and conditions for such a study are presented in practically solving and analyzing the cylindrical shell systems. An analytical model for a nonlinear thick cylindrical shell (TCS) is established on the basis of the stress function and Reddy's higher-order shear deformation theory (HSDT). According to Reddy's HSDT, Hooke's law in three dimensions, and the von-Kármán equation, the stress-strain relations are developed for the thick cylindrical shell systems, and the three coupled nonlinear governing equations are thus established and discretized as per the Galerkin method, for implementing the P-T method. The solution generated with the approach is continuous everywhere in the entire time domain considered. The approach proposed can also be used to numerically solve and analyze the nonlinear shell systems. The procedures and recurrence relations for numerical solutions of shell systems are presented. To demonstrate the application of the approach in numerically solving for nonlinear cylindrical shell systems, a specific nonlinear cylindrical shell system subjected to an external excitation is solved numerically. In numerically solving for the system, the present approach shows higher efficiency, accuracy, and reliability in comparison with that of the Runge-Kutta method. The approach with the P-T method presented is practically sound especially when continuous and high-quality numerical solutions for the shell systems are considered.

An Analysis of the International Trends of Research on Artificial Intelligence in Education Using Topic Modeling (인공지능 활용 교육의 토픽모델링 분석을 통한 수학교육 연구 방향의 함의)

  • Noh, Jihwa;Ko, Ho Kyoung;Kim, Byeongsoo;Huh, Nan
    • Journal of the Korean School Mathematics Society
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    • v.26 no.1
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    • pp.1-19
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    • 2023
  • This study analyzed the international trends of research concerning artificial intelligence in education by examining 352 papers recently published in the International Journal of Artificial Intelligence in Education(IJAIED) with the topic modeling method. The IJAIED is the official, SCOPUS-indexed journal of the International AIED Society. The analysis revealed that international AIED research trends could be categorized into eight topics with topics such as analyzing student behavior model in learning systems and designing feedback to student solutions being increased over time, whereas research focusing on data handling methods was decreased over time. Based on the findings implications and suggestions for the research and development of the applications of AIED were provided.

A Case Study on The Changes in Space Composition According to Departmental System - Through the 10 Remodeling Cases of High School - (교과교실제 운영에 따른 공간구성 변화에 대한 현황분석 - 리모델링된 10개 고등학교의 사례 -)

  • Lee, Dong-Wook;Rieu, Ho-Seoup
    • Journal of the Korean Institute of Educational Facilities
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    • v.19 no.1
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    • pp.13-24
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    • 2012
  • Recently, many middle and high schools are remodeling the buildings and facilities based on departmental system. This study, through analyzing on 10 remodeling cases of high school, is showing the variation before and after remodeling, space organization types, and the types of school management. This also gives us the information on the number of classrooms and teachers' rooms for each subject, the area and number of home base, and the current state of all these facilities. Furthermore, this study is comparing and analyzing the rate of use of specialized classrooms to the type of management. Through this analysis, we reach the following conclusions. l. However all the cases remodeled their buildings to implement departmental system, the methods of space composition, the numbers of the classrooms, and the status of home base are in various forms. 2. Taken as a whole, there are only few spaces used by departmental system. 3. The spaces for practical subjects such as Science and Art are inadequate than the ones for major subjects such as Languages and Mathematics. 4. A system to assign a room for a teacher records the lowest space usage rate. 5. The area of home base per one student is only $0.48m^2$, and even the area is mostly filled with lockers. The present condition of the 10 high schools which we surveyed shortly after remodeled shows that departmental system is not firmly settled down yet.