• Title/Summary/Keyword: 수학 문화

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Principles and Methods for Critical Mathematics Education: An Explorative Study of a Program (비판적 수학교육의 원리와 방법 탐색: 프로그램 개발을 위한 기초연구로서)

  • Song, Ryoon-Jin;Ju, Mi-Kyung
    • Journal of Educational Research in Mathematics
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    • v.27 no.4
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    • pp.857-888
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    • 2017
  • Due to globalization, diversification, and informatization, modern society confronts change and crisis in a variety of areas such as economy, politics, and culture. In that context, mathematics educators seek for how to reform school mathematics for democratic and just society. This research proposes critical mathematics education as an alternative model of school mathematics for democratic society. In particular, this research is an explorative study to construct a model of critical mathematics education program. For the purpose, we conducted a comprehensive literature review to identify goals, contents, and methods of teaching and learning, and method of assessment for critical mathematics education. We checked the validity of the model by using the cases of critical mathematics education. Since this research is explorative in the regard that the model is based on theoretical literatures, further research is necessary to extend the model through design research in school context.

Prospective Teachers' Perception of Mathematical Modeling in Elementary Class (수학적 모델링 수업에 대한 초등 교사의 인식)

  • Choi, Jisun
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.313-328
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    • 2017
  • This study aims to identify prospective elementary school teachers' perception of mathematical modeling in elementary class. Forty elementary school teachers participated in this study. Each teacher analysed the previous case studies about mathematical modeling in elementary class, developed a hypothetical learning trajectory, applied the hypothetical learning trajectory to his/her class, reflected students' learning and his/her teaching, and made reflective journals. These journals contained teachers' perception of mathematical modeling and the difficulties that teachers experienced in teaching mathematics as mathematical modeling. These journals were analyzed to identify teachers' perception of mathematical modeling in elementary class. This study shows that teachers have common features of mathematical modeling but their perspectives are little bit different, are classified into four kinds. And the difficulties that teachers experienced in teaching mathematics as mathematical modeling are classified into 5 categories; Task, Students' cognitive demand, Teacher' monitering, All students' participation, and Classroom culture. At last, suggestions for mathematical modeling in elementary class are done according to the result of this study.

An Analysis of 2009 Revised Elementary Mathematics 6th Grade Textbooks and Teacher's Manuals Based on STEAM-related Subject Contents (2009 개정 초등 수학 6학년 교과서 및 교사용 지도서의 STEAM 관련 교과 내용 분석)

  • Kim, Hae Gyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.1
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    • pp.163-192
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    • 2016
  • In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary mathematics 6th grade textbooks and teacher's manuals. The STEAM-related subject contents in the textbooks and the teacher's manuals were examined by unit, by semester, and by strand of the content in the elementary school mathematics curriculum. The results are the following: First, in each unit and in each strand of mathematics, the most frequent STEAM-related subject content is storytelling, followed by the STEAM-related subject contents of technology and engineering, natural science, and social studies in order. On the other hand, the number of culture, physical education, music and fine arts contents is very small. Second, the number of STEAM-related subject contents in the textbook for the second semester(textbook 6-2) of the 6th grade year is 61 more than that in the textbook for the first semester(textbook 6-1). The number of non-storytelling STEAM-related subject contents in textbook 6-2 is 107, 2.7 times more than that in textbook 6-1. Third, the teacher's manual for textbook 6-1 is insufficient in complementing the textbook units which lack in STEAM-related subject contents, while the teacher's manual for textbook 6-2 is comparatively good in its complementing role. Therefore, it is recommended that we develop different STEAM materials for our 6th grade mathematics classes.

Adults' perception of mathematics: A narrative analysis of their experiences in and out of school (수학에 대한 성인들의 인식: 학교 안팎에서의 수학적 경험에 대한 내러티브 탐구)

  • Cho, Eun Young;Kim, Rae Young
    • The Mathematical Education
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    • v.61 no.3
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    • pp.477-497
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    • 2022
  • The rapidly changing world calls for reform in mathematics education from lifelong learning perspectives. This study examines adults' perception of mathematics by reflecting on their experiences of mathematics in and out of school in order to understand what the current needs of adults are. With the two questions: "what experiences do participants have during their learning of mathematics in schools?" and "how do they perceive mathematics in their current life?", we analyzed the semi-structured interviews with 10 adults who have different sociocultural backgrounds using narrative inquiry methodology. As a result, participants tended to accept school mathematics as simply a technique for solving computational problems, and when they had not known the usefulness of mathematical knowledge, they experienced frustration with mathematics in the process of learning mathematics. After formal education, participants recognized mathematics as the basic computation skill inherent in everyday life, the furniture of their mind, and the ability to efficiently express, think, and judge various situations and solve problems. Results show that adults internalized school education to clearly understand the role of mathematics in their lives, and they were using mathematics efficiently in their lives. Accordingly, there was a need to see school education and adult education on a continuum, and the need to conceptualize the mathematical abilities required for adults as mathematical literacy.

An Analysis on the Problem Solving of Korean and American 3rd Grade Students in the Addition and Subtraction with Natural Numbers (한국과 미국 초등학교 3학년 학생들의 자연수 덧셈과 뺄셈 문제해결 분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • v.19 no.3
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    • pp.177-191
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    • 2016
  • Students can calculate the addition and subtraction problem using informal knowledge before receiving the formal instruction. Recently, the value that a computation lesson focus on the understanding and developing the various strategies is highlighted by curriculum developers as well as in reports. Ideally, a educational setting and classroom culture reflected students' learning and problem solving strategies. So, this paper analyzed the similarity and difference with respect to the numeric sentence and word problem in the addition and subtraction. The subjects for the study were 100 third-grade Korean students and 68 third-grade American students. Researcher developed the questionnaire in the addition and subtraction and used it for the survey. The following results have been drawn from this study. The computational ability of Korean students was higher than that of American students in both the numeric sentence and word problem. And it was revealed the differences of the strategies which were used problem solving process. Korean students tended to use algorithms and numbers' characters and relations, but American students tended to use the drawings and algorithms with drawings.

Effect of mathematics activities in connection with outdoor movement activities on the motor abilities of young children (실외 동작활동을 연계한 수학활동이 유아의 운동능력에 미치는 효과)

  • Park, Ji-Hee
    • The Journal of the Convergence on Culture Technology
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    • v.6 no.3
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    • pp.167-174
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    • 2020
  • The aim of this study is to find out how the mathematics activities linked to outdoor movement activities affect children's motor abilities. S kindergarten located in Gyeonggido do conducted a fifteen week program for young children aged five years. In this study, young children's motor perfromenace test scale of Ji Sungae(2007) was conducted. Each area consists of a five-point scale. There were a total of thirty-three questions. pre-tests and post-tests were performed for young children's motor performance. t-test was used. As a result of this study, it was found that mathematics activities in connection with outdoor movement activities had a positive effect on the improvement of overall exercise ability, non-movement exercise ability, and mobility exercise ability of young children. Based on the results of this study, it is expected that various programs for young children integrated with outdoor motor activities will be developed and applied to the site.

An Analysis of Strengths and Weaknesses in the Study of Elementary Mathematics Lessons via Teacher Learning Community (교사학습공동체를 기반으로 한 초등학교 수학 수업연구의 긍정적인 측면과 한계점 분석)

  • Jin, Sunwoo;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.17 no.3
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    • pp.189-203
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    • 2014
  • The purpose of this study was to analyze the strengths and weaknesses resulting from a study of elementary mathematics lessons among in-service teachers and to discuss implications for the direction of improvement of the study on elementary mathematics lessons based on teacher learning community. The results of this study showed that the study on elementary mathematics lessons based on teacher learning community improved teacher knowledge related to teaching mathematics, enhanced teacher's accomplishment and self-esteem, made it possible for participant teachers to teach one another, created atmosphere in which teachers investigated instruction via sustainable and systematic lesson study. However, some limitations were noticed such as regulations by the social norms of the teacher learning community, the influence of an expert teacher, teachers' unprofessional decision making, and lack of systematic evaluation and reflection on lessons. Based on these results, this paper closes with critical implications to enhance teacher learning community.

A View on Mathematics Education of Israel and Singapore (이스라엘과 싱가포르 수학교육에 대한 소고)

  • Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.1
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    • pp.107-121
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    • 2015
  • The purpose of the present study is to find out some implications from comparing mathematical education of Israel and Singapore. This study examined what values are represented in schooling of both Israel and Singapore and what factors are influencing mathematics teacher education of both countries. Education in Israel and Singapore plays a significant role for the survival of the nation and economic success, and the education system is focused on elitism, especially in terms that they have selective system of students and restrictive exams from the elementary school level. The educational system in both countries provides students with little opportunities for social mobility, because students from the low SES families are not equally exposed to educational facilities and experiences. The results of this study imply that the critical factor affecting students achievement in Israel and Singapore seems to be the quality of teacher education system and the quality of teachers. In particular, it seems that we need to be very careful of uncritically adopting mathematical ideas from both Israel and Singapore, because they both have very different contexts of educational goals, educational policies, racial and cultural factors from Korea.

A Study on the Factors Influencing Gender Differences Changes of Korean students in PISA Mathematics Assessment (PISA수학성취도 평가에 나타난 한국 학생들의 성차 추이의 배경 요인 연구)

  • Lee, Eun-Jung;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.313-326
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    • 2011
  • The purpose of this study is to analyze changes in gender differences of Korean students in PISA mathematics assessment and investigate possible factors influencing the decrease of gender gap in mathematics performances. According to the results of PISA mathematics assessment, Korea showed significant large gender differences in mathematics achievement in both 2000 and 2003. The gender gap in favor of boys, however, has decreased since 2006. An interesting point from these results is that Korean girls' significant improvement led to the decrease in gender difference in 2006 and 2009 assessment. Based on a review of literature on gender differences in mathematics, possible explanations for the girls' improvement in mathematics achievements are identified as follows: the Korean government policy to encourage and support girls' study in mathematics and science and supportive environments could influence positively girls' attitudes toward mathematics and their mathematics learning; the changes in the mathematics curriculum and textbooks which emphasize similar characteristics to PISA mathematics assessment could affect the girls' improvement by reducing their unfamiliarity with PISA mathematics assessment items.

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An Overview on Importance of Writing in Mathematics Education (수학교육에서 글쓰기의 중요성에 관한 소고)

  • Kim, Jeonghyeon;Choi-Koh, Sangsook
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.591-614
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    • 2023
  • For a long time, mathematics education institutions such as NCTM(National Council of Teachers of Mathematics) have emphasized the essential role of writing, and recent surveys by the Ministry of Education report a decline in foundational academic skills in the post-COVID19 period. The purpose of this study is to redefine the significance of mathematics writing in mathematics education, focusing on competencies highlighted in the field, particularly in the areas of problem-solving, communication, and reasoning. The research findings indicate that writing in problem-solving enhances cognitive organization, fostering the ability to grasp concepts and methods. Writing in communication builds confidence through the meta-cognitive process, and writing in inference allows self-awareness of step-by-step identification of areas lacking understanding. Particularly in the future society where artificial intelligence(AI) is utilized, changes in the learning environment necessitate research for the establishment of authenticity judgment through writing and the cultivation of a proper writing culture.