• Title/Summary/Keyword: Mathematics classroom

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Teaching Practices Emphasizing Mathematical Argument for Fifth Graders (초등학교 5학년 학생들의 수학적 논증을 강조한 수업의 실제)

  • Hwang, JiNam
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.257-275
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    • 2023
  • In this study, we designed and implemented a instruction emphasizing mathematical argument for fifth-grade students and analyzed the teaching practices. Through a literature review related to instruction emphasizing mathematical argument, we organized a teaching model of five phases that explain why the general claim that the sum of consecutive odd numbers equals a square number is true: 1) noticing patterns, 2) articulating conjectures, 3) representing through visual model, 4) arguing based on representation, 5) comparing and contrasting. Then, we analyzed the argumentation stream by phases to observe how the instruction emphasizing mathematical argument is implemented in the elementary classroom. Based on the results of this study, we discuss the implications of teaching a mathematical argument in elementary school.

A Case Analysis of Study on Verbal Interaction during the Math Class of a Special Classroom (특수학급 수학 수업에서 나타난 언어적 상호작용 사례 분석)

  • Hong, Jae-Young
    • Journal of the Korea Convergence Society
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    • v.8 no.8
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    • pp.215-224
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    • 2017
  • The purpose of this study was to analyze the cases of verbal interactions occurring during the mathematics lessons taught in middle school special classes in order to examine the elements and types of verbal interactions that occur between the teachers and students. Data were collected and analyzed for the sessions on geometric units that formed part of the mathematics lessons routinely implemented in the special classes. The analysis showed that the teachers initiated 237 (84.1%) of the 291 instances of verbal linguistic interactions. A total of 240 teachers' questions were analyzed, and questions in the area of knowledge occurred the most frequently, at 160 times (66.7%). A total of 617 student responses were analyzed, and short answers occurred the most frequently, at 367 times (59.5%). Teacher feedback occurred 581 times in total, and correct/incorrect (simple) feedback occurred the most frequently, at 234 times (40.3%). A total of 237 verbal interactions were observed between the teachers and children, and the I (RF) type (one teacher question, one student response, and one instance of teacher feedback) occurred most frequently, at 83 times (35.0%).

An Analysis of the Communication Patterns according to the Mathematical Problem Types in Small Group (소집단 문제해결 학습에서 수학 문제 유형에 따른 의사소통의 패턴 분석)

  • Choi, Ji-Young;Lee, Dae-Hyun
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.247-265
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    • 2009
  • In the 21C information-based society, there is an increasing demand for emphasizing communication in mathematics education. Therefore the purpose of this study was to research how properties of communication among small group members varied by mathematical problem types. 8 fourth-graders with different academic achievements in a classroom were divided into two heterogenous small groups, four children in each group, in order to carry out a descriptive and interpretive case study. 4 types of problems were developed in the concepts and the operations of fractions and decimals. Each group solved four types of problems five times, the process of which was recorded and copied by a camcorder for analysis, among with personal and group activity journals and the researcher's observations. The following results have been drawn from this study. First, students showed simple mathematical communication in conceptual or procedural problems which require the low level of cognitive demand. However, they made high participation in mathematical communication for atypical problems. Second, even participation by group members was found for all of types of problems. However, there was active communication in the form of error revision and complementation in atypical problems. Third, natural or receptive agreement types with the mathematical agreement process were mainly found for conceptual or procedural problems. But there were various types of agreement, including receptive, disputable, and refined agreement in atypical problems.

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A Study on the Development of Mathematical-Informatics Linkage·Convergence Class Materials according to the Theme-Based Design Model (주제기반 설계 모형에 따른 수학-정보 연계·융합 수업 자료 개발 연구)

  • Lee, Dong Gun;Kim, Han Su
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.517-544
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    • 2023
  • This study presents the process and outcomes of developing mathematical-informatics linkage·convergence class materials, based on previous research findings that indicate a lack of such materials in high schools despite the increasing need for development of interdisciplinary linkage·convergence class materials In particular, this research provides insights into the discussions of six teachers who participated in the same professional learning community program, aiming to create materials that are suitable for linkage·convergence class materials and highly practical for classroom implementation. Following the material development process, a theme-based design model was applied to create the materials. In alignment with prior research and consensus among teacher learning community members, mathematics and informatics teachers developed instructional materials that can be utilized together during a 100-minute block lesson. The developed materials utilize societal issue contexts to establish links between the two subjects, enabling students to engage in problem-solving through mathematical modeling and coding. To increase the validity and practicality of the developed resources during their field application, CVR verification was conducted involving field teachers. Incorporating the results of the CVR verification, the finalized instructional materials were presented in the form of a teaching guide. Furthermore, we aimed to provide insights into the trial-and-error experiences and deliberations of the developers throughout the material development process, with the intention of offering valuable information that can serve as a foundation for conducting related research by field researchers. These research findings hold value as empirical evidence that can explore the applicability of teaching material development models in fields. The accumulation of such materials is expected to facilitate a cyclical relationship between theoretical teaching models and practical classroom applications.

A study on the Career of the civil engineering student at Technical High School (공업계 고등학교 토목과 학생의 진로에 대한 조사연구)

  • Kwon, Young hwan
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.8 no.1
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    • pp.23-33
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    • 2009
  • The purpose of this study was to examine the basic academic achievement of technical high school students, their learning capability about major, their adaptability to school instruction and whether those factors of them was linked to their career in an effort to suggest workable reform measures. Technical high school seniors to grasp their basic learning capabilities and their opinions on the curricula. The findings of the study were as follows: First, the civil engineering students at technical high school weren't fully able to understand what they learned because of their poor basic achievement. They should take all the required courses to fix their academic deficiencies in the first year of high school, and client-centered additional education should be provided about particular subjects, such as mathematics, which they should learn to study their major. Second, many of the students chose technical high school through the advice of parents or since they weren't able to go onto academic high school. So they entered technical high school without knowing well about their major, and vocational education wasn't properly publicized. As students make a critical career decision in middle school, the government should build permanent pavilions for vocational-education exhibition where interested students can acquire information and explore their career without any restraints. Current fragrant vocational education that is based on experiential learning should be avoided. Third, the government substituted regular classroom teaching for field practice, and that resulted in providing just uniform instruction, destroying learning atmosphere and eventually holding teachers back from offering quality education. To remedy the situation, two different sorts of classes should be prepared. One type of classes are for college- bound students, and the others are for job-seeking students. College- bound students should receive education about humanities to improve their academic deficiencies, and job-seeking seniors should be allowed to take field-practice courses at authorized companies in the second semester. It's advisable personally and socially to help ensure their successful and immediate social adjustment.

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A Study on the Development of Programming Education Model Applying English Subject in Elementary School (초등학교 영어교과를 적용한 프로그래밍 교육 모델 개발)

  • Heo, Miyun;Kim, Kapsu
    • Journal of The Korean Association of Information Education
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    • v.21 no.5
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    • pp.497-507
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    • 2017
  • Research on software education and linking and convergence of other subjects has been mainly focused on mathematics and science subjects. The dissatisfaction of various preferences and types of learning personality cause to learning gap. In addition, it is not desirable considering the solution of various fusion problems that can apply the computational thinking. In this way, it is possible to embrace the diverse tendencies and preferences of students through the linkage with the English subject, which is a linguistic approach that deviates from the existing mathematical and scientific approach. By combining similarities in the process of learning a new language of English education and software education. For this purpose, based on the analysis of teaching - learning model of elementary English subject and software education, we developed a class model by modifying existing English subject and software teaching - learning model to be suitable for linkage. Then, the learning elements applicable to software education were extracted from the contents of elementary school English curriculum, and a program applied to the developed classroom model was designed and the practical application method of learning was searched.

Development of the Scientific Creative Problem Solving Test for the Selection of Gifted Science Students in Elementary School (초등학교 과학영재학급 학생선발을 위한 과학 창의적 문제해결력 검사도구 개발)

  • Choi, Sun-Young;Kang, Ho-Kam
    • Journal of Korean Elementary Science Education
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    • v.25 no.1
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    • pp.27-38
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    • 2006
  • The purpose of this study was to develop a test of a creative problem solving (CPS) for the selection of gifted science students in elementary school. For this, the methods and procedures of the selection of gifted science students was investigated through the internet homepages 23 gifted science education centers of universities and 16 city. province offices of education. The results of this study were as follows: Most of the gifted science students were selected through a multi-step examination process. They were selected on the basis of their records by recommendation of a principal or a classroom teacher in their school, by operation of standardized tests (ex. intelligence quotient score, achievements in science and mathematics, interest and attitude/aptitude for science as well as through other means), as well as through intensive observation of those gifted science students who are selected by interview and oral tests. The selection of gifted students was not evaluated through creativity testing; giftedness in city. province office of education. Testing of CPS was found to be especially lacking in these organizations. For the development of the test items of CPS in science, the five elements were extracted through the framework for the content analysis of the CPS: problem exploration, problem statement, solution thinking, experiment design, and assesment. In addition, suggestions were made regarding an appropriate scoring system for the test of the CPS. As the result of the developed test was applied to the 4th grade of the gifted and general student, we found that gifted students were superior to general students. In conclusion, it was that the CPS test developed in this study should be used to evaluate the CPS for the selection of gifted students.

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Reaching Beyond the Science Education Guidelines: Project-Centered Approaches

  • Son, Yeon-A;Shin, Young-Joon;Lee, Yang-Rak;Choi, Don-Hyung
    • Journal of The Korean Association For Science Education
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    • v.24 no.1
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    • pp.29-47
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    • 2004
  • Two project-centered secondary school programs were studied as part of an effort to elucidate successful components for science reform-based curriculum development. The Teachers for Exciting Science (TES), and Foundational Approaches in Science Teaching (FAST) programs in Korea and U.S., respectively, are project-centered programs because their curricula are centered on the activities initiated and engaged in by the students. Students serve as principal investigators in their projects, and teachers serve as guides. Both programs were analyzed based on criteria such as curriculum design, teaching, lives of students, lives of teachers, evaluation of program, from the Third International Mathematics and Science Study (TIMSS). In the programs, teachers and students directed the development of curricula and their implementation. Students assumed teacher roles as mentors of other students. And emphasis was on development of communication skills through student-delivered talks and written papers, and professional development of teachers as educators and scientists. Participation in TES stimulated secondary school student interest in science, encouraged inquiry thinking, increased achievement in learning science, and promoted better awareness of science related to real life. FAST students practice laboratory and field techniques, experimental design, hypothesis formation, generalization, and practical implications of research as academic and applied disciplinarians. These project-centered programs have been successfully implemented in field, lab, and classroom curricula for secondary science education. Comparison of these programs will provide an opportunity for identifying key elements instrumental in successful implementation of guidelines for science education, as measured through successful outcomes.

Exploring Science Classes and Science Teachers of New York Using Professional Teaching Standards by Korean Teachers

  • Yu, Eun-Jeong;Kim, Kahye;Kim, Myong-Hi
    • Journal of the Korean earth science society
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    • v.34 no.5
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    • pp.435-449
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    • 2013
  • The purpose of this study was to investigate the difference of teachers' interaction with their students when teaching science in New York (NY) and in Korea. As part of the 2011 Korean International Teacher Fellows (KITF), supported by the Ministry of Education, Science and Technology (MEST) and the National Institute for International Education Development (NIIED), Korean science teachers observed, for six months, New York's science classes in terms of how teachers interact with their students and how students learn science during science instruction. The participants were 10 science teachers in five middle and high schools that taught Physics, Chemistry, Biology, Earth Science, and Environment Science in NY. The National Board for Professional Teaching Standards (NBPTS, 2003) and Instruction as Interaction (Cohen et al., 2003) were used as an instrument to identify each teacher's teaching and classroom interaction. Several characteristics of science classes in NY were revealed, which are different from Korean science classes. First, science teachers in NY dominantly put more focus on their subject of teaching during science interaction while, Korean science teachers not only teach science but also do counseling to students as a homeroom teacher. Second, science teachers in NY acknowledged the students' individuality and have positive experiences of professional development supported by their school and district more than Korean science teachers do. Third, science teachers in NY sometimes showed limited knowledge about the concepts of science and lack of collaboration with other science teachers. This characteristics may prevent the school from strengthening its subject program and keeping equity across the grade levels and courses.

Analyses of Female Engineering Education Programs Abroad (해외 여성 공학교육 프로그램의 분석)

  • Park, Ji-Eun;Kim, Ji-Hyeon;Jeong, Yoon-Kyung;Oh, Myong-Sook
    • Journal of Engineering Education Research
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    • v.12 no.3
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    • pp.79-95
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    • 2009
  • Women engineering education programs in the United States, Europe and Australia were analyzed. From 1970s, these countries focused on the low representation of women in engineering, and carried out extensive research and programs. Numerous studies identified the causes of low representation as low interests in mathematics and science during K-12 years, classroom environments which treat women differently (often referred as chilly climate), and the masculine culture in engineering. Comprehensive approaches were taken in the development of the programs: the programs utilized the schools and universities as well as various local institutes, and the programs were designed not only for female students from elementary to graduate levels, but also for parents, teachers, professors, and school administrators. In order to adopt these programs in Korea, the problems that Korean female engineering students are facing in the education environment must be investigated first. Then, unified efforts to change the educational system, environments and culture are needed by all in engineering fields, along with nation-wide policies and funding.