• Title/Summary/Keyword: Beliefs about Mathematics

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Elementary Teacher's Beliefs and Attitudes on Mathematics and Their Teaching Practices (초등 교사의 수학에 대한 신념과 수학수업의 관계)

  • An Keum Jo;Lee Kyeong Hwa
    • Journal of Elementary Mathematics Education in Korea
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    • v.5 no.1
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    • pp.121-142
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    • 2001
  • The purpose of this study is to investigate elementary teacher's beliefs and attitudes about mathematics and how those reflect their teaching practices. For this goal : (1) Designing questionnaire to measure elementary teachers' beliefs and attitudes about mathematics (2) Inquiring into character of elementary teacher's beliefs and attitudes about mathematics after analyzing questionnaire (3) Analyzing two teachers' mathematics teaching practices to understand how teacher's beliefs and attitudes affect mathematics teaching practices.

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A Study on Teachers' Mathematical Beliefs and Constructivism (교사의 수학관과 구성주의)

  • 남승인
    • Education of Primary School Mathematics
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    • v.2 no.1
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    • pp.15-26
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    • 1998
  • Teachers beliefs for the mathematics can have a powerful impact on how children go about learning mathematics, and theirs mathematical beliefs and abilities. In this study, \circled1 to divided teacher's mathematical beliefs into three - absolutism, progressive absolutism, constructivism - and to search into a theoretical characteristic, \circled2 to analyze and criticize the problems of the behaviorism and to investigate a point of basic view of the constructivism on mathematics education, \circled3 to suggest teacher's a role in mathematics learning be based on the constructivism perspective .

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The Effect of Mathematics Teaching Experience during the Teaching Practicum on Pre-service Elementary Teachers' Beliefs about Mathematics (교육실습에서의 수학 수업이 초등예비교사의 수학에 관한 신념에 미치는 영향)

  • Mun, Hyo-Young;Kwon, Sung-Yong
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.487-521
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    • 2010
  • The purpose of this study was to investigate and analyze the effect of mathematics teaching experience during the teaching practicum on pre-service elementary teachers' beliefs about mathematics. The conclusions drawn from the entire research were, as follow: First, it can be said that mathematics teaching experience during the teaching practicum has a significant effect on the change of pre-service elementary teachers' beliefs about mathematics. Specifically, the teaching experience during the teaching practicum has statistically significantly negative effects(p=.05) on pre-service elementary teachers' beliefs about the teaching mathematics. Second, the factors which help pre-service elementary teachers the most in preparing for mathematics classes are collaborating teachers in charge of supervising them, the teacher's guidebook and materials acquired from the Internet. Third, pre-service elementary teachers are well aware of the importance of understanding students and emphasize concrete manipulative activities, but experience lots of failures due to difficulty of drawing students' attention. Fourth, collaborating teachers do not play a significant role in helping pre-service elementary teachers develop and change their beliefs about mathematics positively. The advise given by collaborating teachers to pre-service elementary teachers is mostly about simple techniques of managing the classroom. So, collaborating teachers do not affect significantly and positively on the change of pre-service elementary teachers' beliefs. Fifth, regardless of their belief tendency, pre-service elementary teachers teach more confidently and feel more satisfactory when they prepared for classes more thoughtfully and understanded students more deeply.

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To Make Sense the Teaching and Learning of Mathematics: Mathematics Teachers' Beliefs (수학의 교수-학습을 이해하기 위하여: 수학교사의 믿음)

  • 조정수
    • Education of Primary School Mathematics
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    • v.4 no.1
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    • pp.19-29
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    • 2000
  • This paper is trying to answer the following two questions: "How does it likely to happen that the same content of mathematics is quite differently taught by classroom teachers\ulcorner" and "What would cause these differences in the teaching and learning of mathematics\ulcorner" According to scholars, teachers' beliefs about mathematics and the teaching and learning of mathematics should be first considered when the educational phenomena taking place in classroom are analyzed and interpreted. In this paper, through discussing the directions of reform movements of mathematics education, the definitions and characteristics of teachers' beliefs, and reviewing the previous research on teachers' beliefs, suggestions for the research on mathematics teachers' beliefs are presented.liefs are presented.

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Development of Elementary Teachers' Mathematical Beliefs Scale: A Validity and Reliability Study (초등학교 교사의 수학적 신념 측정도구 개발: 타당성 및 신뢰성 분석)

  • Hwang, Sunghwan
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.3
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    • pp.259-277
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    • 2020
  • The purpose of this study was to develop and validate a scale of Korean elementary teachers' mathematics beliefs. We examined 299 elementary teachers' mathematical beliefs using 30 items, out of which 12 items covered beliefs about the nature of mathematics and 18 items covered beliefs about mathematics teaching and learning. In the first stage, we performed exploratory factor analysis using 149 survey data to examine the factor structure. In the second stage, we performed confirmatory factor analysis using 150 survey data. Building upon previous studies, we examined the construct validity of three different models to find the best factor structure. The study results indicate that the four-factor model with 14 items provides the best fit for the data: transmissive view of mathematics, constructivist view of mathematics, transmissive view of teaching and learning, and constructivist view of teaching and learning. The findings of the study reveal that each factor has adequate internal consistency and reliability. These results confirm that the beliefs scale is a reliable and valid measurement tool to measure Korean elementary teachers' mathematical beliefs. The implications of the study are discussed.

The Moderated Effects of Mathematics Test-preparation Strategies in the Relation between Elementary School Students' Epistemological Beliefs about Mathematics and Test Anxiety (초등학생의 수학 인식론적 신념과 시험불안의 관계에서 수학 시험준비전략의 조절효과 분석)

  • Yoo, Hyunseok;Yum, Sichang
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.365-382
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    • 2019
  • This study aimed to analyze the moderated effects of mathematics test-preparation strategies in the relation between elementary school students' epistemological beliefs about mathematics and test anxiety. The moderated effects were tested by using structural equation modeling with the Ping's two-step approach. The subjects were 810 6th graders (411 male, 399 female) from 13 elementary schools situated in G Metropolitan City. Tests for epistemological beliefs about mathematics, test anxiety, and mathematics test-preparation strategies were used as measurement scales. The results of this study were as follows. The moderated effects of mathematics test-preparation strategies in the relation between epistemological beliefs about mathematics and test anxiety were statistically significant. Higher level of epistemological belief about mathematics were linked to lower level of test anxiety, while lower level of epistemological belief about mathematics led to an increased influence of test-preparation strategies levels on test anxiety. Students who had higher levels of epistemological belief about mathematics displayed lower level of test anxiety when using high levels of test-preparation strategies. Students who scored lower in the epistemological belief about mathematics had lower level of test anxiety when employing low levels of test-preparation strategies. Therefore, to lower the level of test anxiety among elementary students, the intervention program need to consider the appropriate levels of test-preparation strategies in accordance with each student's level of epistemological belief about mathematics.

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A Study on Mathematics Teachers' Beliefs about Their Use Technology Experiences: Focused Group Interviews (공학 사용의 경험에 근거한 수학교사의 신념 연구 : 포커스그룹 인터뷰)

  • Lee, Eun Suk;Cho, Cheong-Soo
    • The Mathematical Education
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    • v.54 no.2
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    • pp.99-117
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    • 2015
  • The purpose of this study was qualitatively conducted for getting the answer of this problem by searching the beliefs of mathematics teachers with experience in technology and the factors that influences these beliefs. The participants in this study consist of eight teachers and one university professor having technological experiences from three years to ten years with a higher degree than M.A. The data was collected through focused group interviews for twice and individual interview as well. Data analysis was completed through several readings of transcripts and then main themes were derived by classifying, comparing, and contrasting codings. The result of this study showed that teachers with the experiences of technological tools have the concrete belief that technology helps both students and teachers understand mathematical concepts and enhance various representational activities and motivations. The result also identified the impeding factors of three beliefs of mathematics teachers. From these beliefs and factors, this study would suggest how to help teachers hold their beliefs about using technologies to improve their teachings and students' learning.

The Effects of Constructive Teaching Belief, Mathematics Teaching Efficacy and Pedagogical Content Knowledge of Mathematics on Teaching Intention for Mathematics of Early Childhood Teachers (유아교사의 구성주의 교육신념, 수학교수효능감 및 수학교과교육학지식이 수학교수적극성에 미치는 영향)

  • Seo, Jeong Min;Lee, Jeong Hwa
    • Korean Journal of Childcare and Education
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    • v.13 no.1
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    • pp.185-200
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    • 2017
  • Objective: This study was conducted to investigate the effects of early childhood teachers' teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics on their teaching intention of mathematics. Methods: A total of 266 early child teachers in Busan participated in this study. They completed a set of question naires which consisted of questions about teaching beliefs, mathematics teaching efficacy, pedagogical content knowledge of mathematics, and the teaching intention of mathematics. The collected data were analyzed using the SPSS program. Results: First, we observed several positive correlations among the four variables. Second, we found that early childhood teachers' constructive teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics had effects on their teaching intention of mathematics. The knowledge about teaching-learning methods for mathematics among the subcategories of pedagogical content knowledge of mathematics was observed as the strongest predictor for the teachers' teaching intention. Conclusion: We need to take more interest in the pedagogical knowledge about teaching-learning methods of mathematics in teacher training courses in order to enhance teachers' teaching intention of mathematics. As a result, this will makea contribution to high quality math education for young children.

A Study on Elementary Teachers' Beliefs about Teaching Mathematics (초등학교 교사의 수학 교수 신념 체계 분석)

  • Kim, Rina
    • School Mathematics
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    • v.17 no.4
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    • pp.593-611
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    • 2015
  • Under the assumptions that teachers' beliefs toward mathematics education play a role of a filter between teachers' knowledge and teaching practices, this study surveyed and analyzed elementary teachers' beliefs toward mathematics education: helping students to understand mathematics concepts, addressing students' mathematical misconceptions, engaging students in mathematics classroom, and improving students' mathematical thinking. From the analysis of survey results of the study, I found that there were dominant components in elementary teachers' beliefs system regarding teaching mathematics. In addition, there are some constructs affected by teachers' characteristics such as gender and educational backgrounds. In this study, I presented a representative model of elementary teachers' beliefs system toward mathematics education.

The Middle Grade Teachers' Beliefs about Teaching Problem Solving (문제 해결 교수에 대한 중학교 수학 교사들의 신념)

  • Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.385-400
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    • 2007
  • This study pilot tested a researcher-designed instrument based on National Council of Teachers of Mathematics' problem solving standard and middle school teachers' beliefs about teaching problem solving. One hundred twenty four teachers' responses were analyzed. The instrument was validated and found to be reliable. The study found that females and males have significantly different beliefs about teaching problem solving. Age of the teacher did not appear to affect the teaching of problem solving.

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