• Title/Summary/Keyword: 수학

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Changing the Culture of Elementary Mathematics Classroom : Sociomathematical Norms and Mathematical Practices (초등수학교실문화의 개선 : 사회수학적 규범과 수학적 관행)

  • 방정숙
    • Journal of Educational Research in Mathematics
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    • v.14 no.3
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    • pp.283-304
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    • 2004
  • This study is to make strides toward an enriched understanding of changing a prevailing teacher-centered mathematics classroom culture to a student-centered culture by analyzing six reform-oriented classrooms of three elementary school teachers throughout a year This study provided a detailed description of important classroom episodes to explore how the participants in each class established a reform-oriented mathematics microculture. Despite the exemplary form of student-centered instruction, the content and qualities of the teaching practices are somewhat different in the extent to which students' ideas become the center of mathematical discourse and activity. Given the similarities in terms of general social norms and the differences in terms of socio-mathematical norms and mathematical practice, this study addresses some crucial issues on understanding the culture of elementary mathematics classroom in transition.

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The Effect of the Social Norms of Mathematics Classroom on Mathematical Beliefs (수학 교실의 사회적 규범이 수학적 신념에 미치는 영향)

  • Han, Kyung-Hwa;Kang, Soon-Ja;Jung, In-Chul
    • Journal of the Korean School Mathematics Society
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    • v.8 no.3
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    • pp.343-356
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    • 2005
  • The purpose of this study is to search whether mathematical beliefs have changed when new social norms are formed in math classroom through research using survey papers about mathematical beliefs and math class video photographing. In addition, it would search for social norms of mathematical classroom which affects to students' mathematical beliefs by analyzing culture of mathematical classroom. The result was that the class focusing only general social norms wasn't enough to change students' mathematical beliefs. And as we have examined sociomathematical norms of math classroom through analyzing culture of mathematics classroom, it has affected students' mathematical beliefs.

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Analysis on Elementary Mathematics Textbooks Based on Comparison between Mathematical Processes in 2009 Revised National Curriculum and Mathematical Practices in CCSSM (2009 개정 교육과정의 수학적 과정과 CCSSM의 수학적 실천의 비교에 따른 초등 수학 교과서 분석)

  • Lim, Miin;Chang, Hyewon
    • School Mathematics
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    • v.17 no.1
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    • pp.1-18
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    • 2015
  • The mathematical processes are strongly emphasized in 2009 revised national curriculum for mathematics and are expected to be complemented and extended in 2015 revised one. This study aims to investigate how much the processes are being implemented in mathematics classroom and select some elements which need complementation. To do this, we selected the mathematical practices of CCSSM as a reference, because it plays the corresponding role in the United States to the mathematical processes in Korea. We recognized common elements and different elements between the two and analyzed. Considering those, we searched the possibility of newer mathematical process and analyzed the 4th grade mathematics textbooks in relation to questions for mathematical practices. We provided the results of analyses and several suggestions for revising mathematics curriculum and textbooks.

Mathematical Journal Writing as a Method of Improving Mathematical Attitudes and Achievements for Underachieve Students (수학학습 부진아 지도방안으로써의 수학일지 쓰기)

  • Kim, Hong-Chan;Lee, Jeong-Eun
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.525-548
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    • 2010
  • How to enhance the ability of underachieve students are unsolved problems for mathematics teachers despite of their best efforts to teach them. The purpose of this study is to explore the effectiveness of mathematical journal writing as a method of improving the mathematical attitudes and achievements for underachieve students. Seven students whose performances were below 40% on the final exam in the 1st semester were recruited in order to gather empirical data. Before journal writing procedures, the subjects' characteristics, learning styles and mathematical attitudes were investigated through personal interview and mathematical attitude test. After six-week journal writing, follow-up survey and mathematical attitude test were conducted. The results of this research are as follows: Mathematical journal writing had a positive effect to underachieve students on improving confidence in mathematics and a positive influence on active and effective learning attitude. And mathematical journal writing had an effect on improvement in their mathematics achievement comparing first semester's final exam with second semester's mid-term exam. Finally mathematical journal writing contributes positively to the relationship between students and their teacher.

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Development of the Diagnostic Worksheet for Mathematics Academic Counseling (수학학습 상담을 위한 진단 검사지 개발 연구)

  • Ko, Ho Kyoung;Yang, Kil-seok;Lee, Hwan Chul
    • Communications of Mathematical Education
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    • v.29 no.4
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    • pp.723-743
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    • 2015
  • In this research, The objective of the present study was to develop a preliminary diagnostic worksheet for use in consultations for learning mathematics. In order to achieve this, the worksheet was constructed with questions designed to assess the students. Through standardization, diagnostic worksheets for primary school students in grades 5 and 6 and secondary school students in grades 7 and 8 were produced. The diagnostic worksheet was divided into three sections, consisting of the psychology of learning mathematics in section 1, the methodology in learning mathematics in section 2, and personal preferences in learning mathematics in section 3. The psychology of learning mathematics was composed of questions on factors such as, "confidence in math learning ability," "math anxiety," and "attitude in learning mathematics." Moreover, factors in methodology in learning mathematics were "self-management in learning mathematics" and "math learning strategies." Those for personal preferences in learning mathematics asked about "motivation" and "preferences" with questions about "math learning habits" and "management methods for learning math." This diagnostic worksheet can be used as basic material in consulting students on learning mathematics.

A study on the correlation between mathematics anxiety and mathematics achievement in high school students (고등학생의 수학성취와 수학불안 간의 상관연구)

  • Lew, Kyounghoon;Hwang, Sunwook
    • The Mathematical Education
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    • v.58 no.3
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    • pp.337-346
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    • 2019
  • The purpose of this paper is to investigate the differences of the mathematics anxiety and mathematical achievement of high school students according to gender and grade, and to find out which mathematics anxiety causes have more influence on mathematical achievement and how much it is. The subjects of this study consist of 459 students selected for a class of unit, in high schools located in Seoul, Korea. Huh(1996)'s Mathematics Anxiety Scale was used. The collected data were analyzed by using the 24.0 SPSS program. The data were also tested by using the t-test, correlation and multiple regression. The major results of this study were as follows: Firstly, there was no difference in mathematics score according to gender, but mathematics anxiety was higher in girl students. Mathematics score and mathematics anxiety have significantly related each other. Boy students' mathematics scores were significantly explained by interest, Mathematical Achievement factor, and mathematical confidence factor. For girl students, mathematics achievement factor, interest were the significant predictors. Secondly, mathematical anxiety and mathematics scores were correlated in the first and third grades, and the variables that predict mathematics scores significantly in all grades were interest.

Relationship Between Mathematics Anxiety, Interest and Mathematical Grades of High School Students According to Math Socialization (고등학생의 수학사회화 경험 수준에 따른 수학점수, 수학불안과 수학흥미도 간의 관계 연구)

  • Hwang, Sunwook;Lew, Kyounghoon
    • Communications of Mathematical Education
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    • v.33 no.1
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    • pp.21-34
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    • 2019
  • The purpose of this paper is to investigate the differences of the mathematics anxiety and mathematical achievement of high school students according to math socialization, and to find out which mathematics anxiety causes have more influence on mathematical achievement and how much it is. For this purposes, the problem of this study as follows: firstly, are there any relationship among mathematical grades, mathematics anxiety, interest and math socialization? secondly, are there any math socialization mathematics predict to mathematical grades, mathematics anxiety, interest? lastly, are there any differences in the mathematical grades, mathematics anxiety, interest according to math socialization level? The subjects of this study consist of 479 students selected for a class of unit, in high schools located in Seoul and metropolitan area, Korea. In this study, for students math socialization, Jung(2002)'s scale was used. Mathematical anxiety & interest, Huh(1996)'s Mathematics Anxiety Scale was used. The collected data were analyzed by using the 24.0 SPSS program. The data were also tested by using the t-test, pearson correlation and multiple regression. The major results of this study were as follows: firstly, math socialization, mathematics anxiety, interest and mathematical grades have significantly related each other, secondly, the multiple regression analyses demonstrated that sub factors of math socialization were the significant predictors of mathematical grades, mathematics anxiety and interest, lastly, mathematics grades, and mathematical anxiety and interest have significant differences depending on math socialization.

What is School Mathematics? (학교수학이란 무엇인가?)

  • Lee, Seoung Woo
    • Journal of Educational Research in Mathematics
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    • v.25 no.3
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    • pp.381-405
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    • 2015
  • The nature of school mathematics has not been asked from the epistemological perspective. In this paper, I compare two dominant perspectives of school mathematics: ethnomathematics and didactical transposition theory. Then, I show that there exist some examples from Old Babylonian (OB) mathematics, which is considered as the oldest school mathematics by the recent contextualized anthropological research, cannot be explained by above two perspectives. From this, I argue that the nature of school mathematics needs to be understand from new perspective and its meaning needs to be extended to include students' and teachers' products emergent from the process of teaching and learning. From my investigation about OB school mathematics, I assume that there exist an intrinsic function of school mathematics: Linking scholarly Mathematics(M) and everyday mathematics(m). Based on my assumption, I suggest the chain of ESMPR(Educational Setting for Mathematics Practice and Readiness) and ESMCE(Educational Setting For Mathematical Creativity and Errors) as a mechanism of the function of school mathematics.

An Analysis of Teacher-Student Communication and Students' Mathematical Thinking in Sixth Grade Mathematics Classrooms (초등학교 6학년 수업에서의 수학적 의사소통과 학생의 수학적 사고 분석)

  • Hong, Woo-Ju;Pang, Jeong-Suk
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.201-219
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    • 2008
  • The purpose of this study was to provide useful information for teachers by analyzing various levels of teacher-student communication in elementary mathematics classes and students' mathematical thinking. This study explored mathematical communication of 3 classrooms with regard to questioning, explaining, and the source of mathematical ideas. This study then probed the characteristics of students' mathematical thinking in different standards of communication. The results showed that the higher levels of teacher-student mathematical communication were found with increased frequency of students' mathematical thinking and type. The classroom that had a higher level of Leacher-student mathematical communication was exhibited a higher level of students' mathematical thinking. This highlights the importance of mathematical communication in mathematics c1asses and the necessity of further developing skills of mathematical communication.

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Analysing High School Students' Mathematical Belief System and Core Belief Factors (고등학생의 수학적 신념체계 및 중심신념요인 분석)

  • Kim, Yun Min;Lee, Chong Hee
    • School Mathematics
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    • v.16 no.1
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    • pp.111-133
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    • 2014
  • This study aims to explore mathematical belief system and core belief factors to be found. The mathematical belief system becomes an auto regulation device for students' using mathematical knowledge in mathematical situations and provides them with the context to perceive and understand mathematics. They have individual mathematical beliefs for each of mathematics subject, mathematical problem solving, mathematical teaching and learning and self-concept, and these beliefs of students construct mathematical belief system according to mutual relationships among the mathematical beliefs. Using correlation analysis and multiple regression, mathematical belief system was structuralized and core belief factors were found. Mathematical belief system is structuralized and, as a result the core belief factors that are psychological centrality of high school students' mathematical belief system are found to be persistence, challenge, confidence and enjoyment. These core belief factors are formed on the basis of personal experiences and they are personal primitive beliefs that cannot be changed with ease and cannot be shared with other people but they are related with many other beliefs influencing them.

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