• Title/Summary/Keyword: Mathematics culture

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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.

An analysis of the educative features of mathematics teacher guidebooks for grades 3 and 4 (초등학교 3~4학년군 수학 교사용 지도서의 교육적 특징 분석)

  • Pang, JeongSuk;Oh, MinYoung;Park, Yejin
    • The Mathematical Education
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    • v.62 no.4
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    • pp.531-549
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    • 2023
  • Despite the significance of mathematics teacher guidebooks as a support for teacher learning, there are few studies that address how elementary mathematics teacher guidebooks support teacher learning. The purpose of this study was to analyze the educative features of elementary mathematics teacher guidebooks for grades 3 and 4. For this, six units from each of ten kinds of teacher guidebooks were analyzed in terms of seven dimensions of Teacher Learning Opportunities in Korean Mathematics Curriculum Materials (TLO-KMath). The results of this study showed that mathematics content knowledge for teaching was richly provided and well organized. Teacher guidebooks provided teacher knowledge to anticipate and understand student errors and misconceptions, but were not enough. Sample dialogues between a teacher and students were offered in the teacher guidebooks, making it easier for teachers to identify the overall lesson flow and key points of classroom discourse. Formative assessment was emphasized in the teacher guidebooks, including lesson-specific student responses and their concomitant feedback examples per main activity. Supplementary activities and worksheets were provided, but it lacked rationales for differentiated instruction in mathematics. Teacher knowledge of manipulative materials and technology use in mathematics was provided only in specific units and was generally insufficient. Teacher knowledge in building a mathematical community was mainly provided in terms of mathematical competency, mathematical classroom culture, and motivation. This paper finally presented implications for improving teacher guidebooks to actively support teacher learning.

A Case Study of Teacher's Role in Inquiry-Oriented Mathematics Instruction: Centered on Science High School Students (탐구-중심 수학 수업에서 교사의 역할에 관한 사례연구: 과학고등학교 학생들을 중심으로)

  • Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.177-199
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    • 2008
  • In the Netherlands, Streefland(Elbers, 2003) gave a solution on how teachers can help students to participate in the process of knowledge construction by investigating constructions and activities of a community of inquiry for a primary school students(between 11 and 13 years of age). In Australia, Goos(2004) analyzed the teacher's role in creating a classroom culture of inquiry, which appeared to be taken for granted by the Grade 12 group, for the Grade 11 students by classroom observation and interviews. In Korea, because of diverse obstacles with a university entrance examination, a study about teacher's role in inquiry-oriented instruction for high school mathematics schooling has rarely appeared in the literature. The purpose of this study is to investigate teacher's role for promoting and managing inquiry-oriented mathematics instruction effectively by a case study. To fulfill this purpose, we develop inquiry-oriented instruction model by investigating teacher's role as an assistant for helping students to do mathematical activity.

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Overcoming framing-difference between teacher and students - an analysis of argumentation in mathematics classroom - (틀의 차이를 극복하기 - 수학교실에서의 논증분석 연구 -)

  • Kim, Dong-Won
    • The Mathematical Education
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    • v.46 no.2 s.117
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    • pp.173-192
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    • 2007
  • We define mathematical learning as a process of overcoming framing difference of teachers and students, two main subjects in a mathematics class. We have reached this definition to the effect that we can grasp a mathematical classroom per so and understand students' mathematical learning in the context. We could clearly understand the process in which the framing differences are overcome by analyzing mutual negotiation of informants in specific cultural models, both in its form as well as in its meaning. We review both of the direct and indirect forms of negotiation while keeping track of 'evolution of subject' in terms of content of negotiation. More specifically, we discuss direct negotiation briefly and review indirect negotiation from three distinct themes of (1) argument structure, (2) revoicing, and (3) development patterns and narrative structure of proof. In addition, we describe the content of negotiation under the title of 'Evolution of Subject.' We found that major modes of mutual negotiation are inter-reference and appropriation while the product of continued negotiation is inter-resemblance.

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The Effects of Teacher's Beliefs about Mathematics on the Method of Class and the Performance of Problem Solving (교사의 수학에 대한 신념이 수업 방법과 학생의 문제해결 수행에 미치는 영향)

  • 김시년
    • Education of Primary School Mathematics
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    • v.3 no.1
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    • pp.79-88
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    • 1999
  • This paper shows how the social tradition and belief of korea on education affects teachers and students and learning. 1 Interview with teacher. During surveying this teacher's class, we knowed that the teacher have accentuated algorism loaming and preparation fur external examination in math class. Teacher's beliefs about mathematics have a strong effect on the method of class and the performance of problem solving 2. Interview with students and short test. 1) Students usually had fine ability of calculation for number. But Many pupils didn't know the meaning of the operations. 2) The most of pupils are good at routine math problem solving but when the question whose the condition don't meet was given, they experienced difficulties.3.Korean sociocultural specialty on education: The korean place high emphasis on education and think of education as the means of success. This emphasis can be traced to the Confucian view. 1) tradition on examination culture. 2) the traditional convention of the learning method. Korean sociocultural specialty on education play role of strengthen role learning and algorism class. The important things to education reformation are getting a balance between practice and understanding. we should make changes not only in national dimension but also in math class.

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Students' Colloquial and Mathematical Discourses on Infinity and Limit: A Comparison of U.S. and Korean Students (학생들의 무한과 극한에 대한 구어적 담화와 수학적 담화: 미국학생과 한국학생의 비교)

  • Kim, Dong-Joong;Sfard, Anna;Ferrini-Mundy, Joan
    • School Mathematics
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    • v.12 no.1
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    • pp.1-15
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    • 2010
  • The study presented in this paper, which serves as a pilot study for a future comprehensive project, was to investigate how students deal with the concepts of infinity and limit. Based on the communicational approach to cognition, according to which mathematics is a kind of discourse, we tried to identify the characteristics of students' discourse on the topics. Four American and four Korean students were interviewed in English on limits and infinity and their discourse was scrutinized with an eye to common characteristics as well as culture, age, and education-related differences.

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A comparative analysis of the MathThematics textbooks with Korean middle school mathematics textbooks - focused on mathematical communication - (현행 중학교 수학 교과서와 MathThematics 교과서의 비교 분석 - 수학적 의사소통 측면을 중심으로 -)

  • Han, Hye-Sook
    • The Mathematical Education
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    • v.49 no.4
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    • pp.523-540
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    • 2010
  • The purpose of the study were to analyze MathThematics textbooks and Korean middle school mathematics and to investigate the difference among the textbooks in the view of mathematical communication. According to the results, the textbook developers made a variety of efforts to develope students' mathematical communication ability. Students were encouraged to communicate with others about their mathematical ideas or problem solving processes in words or writing by means of discussion, oral report, presentation, journal, etc. MathThematics textbooks provided student self-assessment opportunity to improve student performance in problem solving, reasoning, and communication. In communication assessment, students can assess their use of mathematical vocabulary, notation, and symbols, the use of graphs, tables, models, diagrams and equation to solve problem and their presentation skills. The assessment activities would make a positive impact on the development of students' mathematical communication ability. MathThematics textbooks provided a variety of problem situation including history, science, sports, culture, art, and real world as a topic for communication, however, the researcher found that some of Korean textbooks depends heavily on mathematical problem situations.

Development of the Mathematics Teaching Efficacy Beliefs Instrument Korean Version for Elementary Preservice Teachers (초등 예비 수학 교사를 대상으로 하는 MTEBI 한글판 개발)

  • Ryang, Dohyoung
    • The Mathematical Education
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    • v.52 no.3
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    • pp.363-377
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    • 2013
  • 교수효능감은 교사가 교실에서 얼마나 효율적으로 가르칠 것인지를 예측하는 매우 강력한 구인이다. MTEBI는 초등 예비교사를 대상으로 수학 교수 효능감을 재는 유효한 척도이다. 그러나 MTEBI는 미국에서 개발되어 다른 문화에서 바로 사용할 수는 없다. 본 연구는 MTEBI가 한국에서 유효한 지에 대한 실증적 조사이다. 먼저, 영문의 MTEBI를 국문으로 번역하고, 번역한 것을 다수의 수학교사 교육자가 철저하게 검토하였다. 그다음, 506명의 예비 초등교사 표본에서 정규성, 신뢰도, 타당도 등의 통계적 검정을 실시하였다. 그 결과, 한글판 MTEBI의 하위척도인 PMTE와 MTOE의 알파계수가 각각 .836과 .705이었다. 이로써 한글판 MTEBI가 한국에서 효능감 연구에 사용할 수 있을 만큼 믿을 수 있고 문항 구성이 타당함을 입증하였다. 나아가 본 연구에서 제시된 영문판을 바탕으로 한국과 교육에 대한 전통과 문화가 비슷한 이웃 문화에서도 효능감 연구가 일어나기를 기대한다.

Environmental and Interpersonal Factors on Development of the Mathematically Gifted: Cases of International Mathematical Olympiad Winners from Korea

  • Choi, Kyong Mi;McAninch, Melissa;Jensen, Jessica;Susadya, Laurentius
    • Research in Mathematical Education
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    • v.22 no.3
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    • pp.175-201
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    • 2019
  • Spending as much time outside of school as in school, gifted youth are affected by non-school aspects including parents, other family members, peers, mentors, mathematics competitions and camp participations. These influences have been known to shape children's intellectual development, academic achievement, interests, and eventually college and career choices. From interviews with five former Olympians from Korea to identify out-of-school influences on their academic achievement and development, we discovered, in addition to confirmation of previously identified factors, additional sources of positive influence seldom previously mentioned and more common to Korean culture were gleaned - mathematics workbooks and Ha-Gwon. The findings of this study are informative for teachers and parents who are interested in development of gifted youth in providing ways to accommodate their special needs and in showing how they can carefully individualize those sources to be positively affecting intellectual development as well as academic achievement.

Exploring Preservice Teachers' Computational and Representational Knowledge of Content and Teaching Fractions

  • Rosli, Roslinda;Han, Sunyoung;Capraro, Robert M.;Capraro, Mary M.
    • Research in Mathematical Education
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    • v.17 no.4
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    • pp.221-241
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    • 2013
  • The data for the present paper was a part of a large research project conducted to assess preservice teachers' knowledge related to fractions and place value at a southwestern public university in 2007. The study utilized convenience sampling, consisting of 150 elementary preservice teachers who were enrolled in a mathematics methods course before their student teaching. The results demonstrated preservice teachers' knowledge of teaching comparison, addition, subtraction, and multiplication of fractions was insufficient even though these should be basic knowledge. Teacher preparation programs should emphasize profound knowledge for teaching fractions using representations.