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A Study on Effectiveness of Mathematics Teachers' Collaborative Learning: Focused on an Analysis of Discourses

  • Chen, Xiaoying;Shin, Bomi
    • Research in Mathematical Education
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    • v.25 no.1
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    • pp.1-20
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    • 2022
  • Collaborative learning has been highlighted as an effective method of teachers' professional development in various studies. To disclose teachers' discourse threads in the process of collaborative learning for developing their knowledge, this paper adopted two methods including "content analysis" and "time-sequential analysis" of learning analytics. Such analyses were implemented for mining teachers' updated knowledge and the discourse threads in the discussion during collaborative learning. The materials for analysis involved two aspects: one was from the video-taped lesson observation reports written by teachers before and after discussing, and the other was from their discourses during the discussion process. The results proved that teachers' knowledge for teaching the centroid of a triangle was updated in the collaborative learning period, and also revealed the discourse threads of teachers' collaboration contained "requesting information or opinions", "building on ideas", and "providing evidence or reasoning", with the emphasis on "challenging ideas or re-focusing talk"

Integrating Math and Music: Teaching Ideas

  • NOH, Jihwa;HUH, Nan
    • Research in Mathematical Education
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    • v.19 no.3
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    • pp.177-193
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    • 2015
  • Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.

A Mathematical Model Simulating A Grain-Straw Separation Process in an Axial-Flow Separator

  • Lee, Seung-Kyu-;Kim, Sung-Tae-;Park, Kyu-hong-
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1993.10a
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    • pp.676-685
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    • 1993
  • A mathematical model was developed to quantify the separation process of threshed grain-straw mixtures. It was made to predict the separation loss from a separation unit consisted of stationary crimped sieve with rotating inner rotor. Experiments were performed to prove the mathematical model by changing various levels of pertinent variables for rice. Good Agreement between the simulated results and observed data under the various test conditions, such as inclination angle of the separator, vane pitch, rotor speed, MOG/G ratio, feed rate, and crop variety and moisture content, were confirmed.

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공업계 고등학교 수학 교과와 전문 교과와의 수학적 연결성 분석 -전자계산기과 중심-

  • Moon, Chul-Woo;Kim, Young-Ok
    • East Asian mathematical journal
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    • v.26 no.2
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    • pp.233-249
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    • 2010
  • It seems that it is critical to comprehend mathematics as a tool subject in order to understand a number of calculations in the professional subjects in the vocational high schools. This study is designed to determine "how much mathematics is connected to specialized subjects in terms of mathematical content at vocational high schools". To investigate the research questions, this study examined the connections between the mathematical topics included in professional subjects and those of mathematics subjects in the vocational high school. In the end, this study suggest that is should be necessary to make new mathematics textbook which reflects the reality and needs of the present vocational high school students.

Review Report for Middle School Mathematics Textbooks Based on 2015 Revision of National Curriculum (2015 개정 교육과정에 따른 중학교 수학 교과서 검토)

  • Lee, In-Sok
    • Communications of Mathematical Education
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    • v.34 no.2
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    • pp.69-117
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    • 2020
  • This article is a review report on the middle school mathematics textbooks, based on "2015 Revision of National Curriculum". Considering future textbooks, this report is to keep a record of the review. In this report, I mainly discuss the mathematical aspects (but not educational or pedagogical aspects) of the textbooks. I sincerely hope that the content of this article is to be discussed and examined further by the society of mathematics education and the society of mathematics.

A Study on the Problem Solving Competency Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 문제 해결 역량 요소 탐색 - 중학교 1학년 함수 영역을 중심으로 -)

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.35 no.4
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    • pp.407-427
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    • 2019
  • The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the problem solving is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the problem solving such as problem solving process, cooperative problem solving, mathematical modeling, problem posing. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the problem solving competency were shown in each textbook.

Transforming mathematics education with AI: Innovations, implementations, and insights

  • Sheunghyun Yeo;Jewoong Moon;Dong-Joong Kim
    • The Mathematical Education
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    • v.63 no.2
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    • pp.387-392
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    • 2024
  • The use of artificial intelligence (AI) in mathematics education has advanced as a means for promoting understanding of mathematical concepts, academic achievement, computational thinking, and problem-solving. From a total of 13 studies in this special issue, this editorial reveals threads of potential and future directions to advance mathematics education with the integration of AI. We generated five themes as follows: (1) using ChatGPT for learning mathematical content, (2) automated grading systems, (3) statistical literacy and computational thinking, (4) integration of AI and digital technology into mathematics lessons and resources, and (5) teachers' perceptions of AI education. These themes elaborate on the benefits and opportunities of integrating AI in teaching and learning mathematics. In addition, the themes suggest practical implementations of AI for developing students' computational thinking and teachers' expertise.

Influences of Expository Writing on Mathematical Communication in Elementary Mathematics Classes (초등 수학 수업에서 설명식 쓰기 활동이 수학적 의사소통에 미치는 영향)

  • Jung, Daun;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.435-455
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    • 2015
  • This study is aimed at analyzing the level change and features of mathematical communication in elementary students' expository writing. 20 students of 5th graders of elementary school in Seoul were given expository writing activity for 14 lessons and their worksheets was analyzed through four categories; the accuracy of the mathematical language, logicality of process and results, specificity of content, achieving the reader-oriented. This study reached the following results. First, The level of expository writing about concepts and principles was gradually improved. But the level of expository writing about problem solving process is not same. Middle class level was lower than early class, and showed a high variation in end class again. Second, features of mathematical communication in expository writing were solidity of knowledge through a mathematical language, elaboration of logic based on the writing, value of the thinking process to reach a result, the clarification of the content to deliver himself and the reader. Therefore, this study has obtained the conclusion that expository writing is worth keeping the students' thinking process and can improve the mathematical communication skills.

An evaluation on the quality of mathematics instruction for 8th grade based on the instructional quality profile (교수 질 프로필(IQP)에 기반한 중학교 2학년 수학과 교수의 질 분석)

  • Lee, Bongju;Han, Inki;Suh, Boeuk
    • East Asian mathematical journal
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    • v.34 no.2
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    • pp.103-125
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    • 2018
  • This study was conducted as a part of the project to evaluate the quality of mathematics instruction in the national curriculum system. The purpose of this study is to measure the consistency between teaching goals of mathematics curriculum, contents presentation of textbooks, and testing including adequacy of each element in mathematics instruction for 8th grade. To do this, we used MIQP (instructional quality profile for Mathematics) developed basing on the instructional quality profile (IQP) in the previous research of the project. First, the quality of textbooks' content presentation for 8th grade was found that the desirable levels in number and operation area and geometric area was relatively less compared to other areas, but it was generally good. Second, it was found that the quality of mathematics testing for 8th grade was good in terms of consistency with the curriculum's teaching goals, consistency with the content presentation of textbooks, and adequacy of testing. However, regional differences in the quality of testing showed that there were some deficiencies in regions outside the metropolitan.

Analysis of Item Contents of 2010, 2011 National Assessment of Educational Achievement at elementary school for deduction of suggestions to the mathematics teaching-learning (수학과 교수.학습 시사점 도출을 위한 2010, 2011년 국가수준 초등학교 학업성취도 평가 문항 내용 비교 분석)

  • Jo, Yun Dong;Ko, Ho Kyoung
    • The Mathematical Education
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    • v.51 no.4
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    • pp.395-413
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    • 2012
  • National Assessment of Educational Achievement(NAEA) is important standard reference to become the basic data for confirming the effect of the curriculum administrated and the educational policies put in force presently and preparing the new curriculum and educational policies. In this paper, we looked into the mean and standard deviation of the calibrated score of whole group and male/female students, the correct answer ratio of each performance level and the correct answer ratio of each content domain, etc. in the results of NAEA at 6th elementary school. The analytic objects are 2010 and 2011 NAEA that are changed into complete enumeration survey and the standard reference prepared on the basis of the new calibrated score is applied to. And we analysed and compared correct answer ratio of the each content domain and each item to conform the difference between male and female students. On the basis of the these informations, we investigated that here is what kind of characteristics and trends to the whole group and what kind of suggestions to the teaching-learning. And we were going to provide the information of the needs to understand which content of mathematics is needed and which thinking methods are needed.