• 제목/요약/키워드: 수학적 신념 및 태도

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The Inquiry of Change of Mathematical Beliefs and Attitude in Elementary Cooperative Learning Class. (협동학습에서의 초등학생 수학적 신념 및 태도 변화 연구)

  • 서관석;안진수
    • School Mathematics
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    • v.5 no.4
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    • pp.541-553
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    • 2003
  • The purposes of this study are to look into the changing processes of mathematical beliefs and attitudes of the students and to propose the plans how to manage cooperative learning, what can contribute to cognitive affective domains of mathematics learning in applying STAD-based cooperative loaming to mathematics class. So we, the researchers performed cooperative learning in the fifth grade of elementary school and did the exams of mathematical beliefs and attitudes, interviews, supplementary Questions. And students showed meaningful changes in 'the need of cooperative learning', 'critical thinking', 'the acceptance of thoughts of others'. Meanwhile, there were possibilities what all the members of one group can't recognize their errors in STAD, so we proposed 'Tongsinsa'. And we presented concrete methods how to reconstruct groups and somethings to consider when students are not satisfied with the group activities.

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Understanding and predicting elementary teachers' intention to change in mathematics instruction (초등교사의 수학과 수업 개선 의지의 예측과 이해)

  • 오영열
    • Journal of Educational Research in Mathematics
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    • v.13 no.3
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    • pp.267-286
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    • 2003
  • The purpose of this study was to understand the structures underlying Korean elementary teachers' attitudinal beliefs toward reform-oriented mathematics instruction and predict their intentions to change traditionally-oriented teaching practice. The theory of planned behavior (TPB) developed by Fishbein and Ajzen provided a conceptual framework for the examination of factors that influence Korean teachers' beliefs, attitudes, subjective norms and perceptions of control factors. Data were gathered through a survey instrument from 281 teachers who teach mathematics in a metropolitan city of Korea. Descriptive statistics and multiple regression analyses were conducted to analyze the data. Findings indicate that Korean elementary teachers' change in Instructional practice is based primarily on their judgements regarding the likelihood of occurrences of certain consequences if they engage in teaching mathematics in a reform-oriented way. Teachers' perceptions of important others regarding the reform-oriented mathematics instruction seem to play a minor role in teachers' instructional change. Teachers' perceptions about control factors that prohibit or help teach mathematics in a reform-oriented way do not seem to make significant improvement in predicting their intentions to change traditionally-oriented teaching practice.

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Elementary School Students' Perception of Mathematics Classroom Quality (수학 수업의 질에 대한 초등학교 학생들의 인식)

  • Park, Sungsun
    • Education of Primary School Mathematics
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    • v.21 no.2
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    • pp.151-162
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    • 2018
  • The purpose of this study was to investigate the effects of teacher's mathematical belief and student's mathematical performance, sex on the perception of mathematics classroom quality. And this study also detailed the relation between self-directed learning attitude and perception of mathematics classroom quality. For this purpose, this study used 'Students Perception of Mathematics Classroom Quality(SPOCQ)' as an instrument. This instrument focuses on appeal, challenge, choice, meaningfulness, self-efficacy. The 430 5th and 6th grade elementary school students were included in sample. The results obtained in this research are as follows; First, there was a significant difference in the perception of mathematics classroom quality between positive mathematical belief teacher's group and negative mathematical belief teacher's group. So, teacher's mathematical belief influence on the students' perception of mathematics classroom quality. Second, there was a significant difference according to the student's mathematical performance and sex. The students of high mathematical performance usually had positive perception of mathematics classroom quality and the male students also had higher mean than female students. Third, there was positive correlation between self-directed learning attitude and perception of mathematics classroom quality.

Impact of the Parental Beliefs, Parental Attitude and Parental Behavior of Parents on the Multiple Intelligences of Preschoolers (부모의 양육신념, 양육태도 및 양육행동이 유아의 다중지능에 미치는 영향)

  • Ha, Soon Ryun;Seo, Hyun Ah
    • Korean Journal of Childcare and Education
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    • v.9 no.5
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    • pp.131-156
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    • 2013
  • The purpose of this study was to examine the importance of parental beliefs, parental attitudes and parental behaviors of parents with preschool children and the relationship of the variables in an attempt to help preschoolers to gain multiple-intelligence experiences in an integrated manner in consideration of their interests, needs, strengths and weaknesses. A survey was conducted on the selected parents who had preschool children, and a multiple regression analysis was carried out to look for connections among the variables. The findings of the study were as follows: First, the preschool girls were ahead of the preschool boys in linguistic intelligence, musical intelligence and spatial intelligence, and the latter surpassed the former in logical-mathematical intelligence. Second, whether there would be any differences among the preschoolers in multiple intelligences according to age was analyzed, and those who were at the Western age of five were ahead of the four-year-olds in logical-mathematical intelligence, bodily-kinesthetic intelligence and naturalist intelligence. Third, the parental attitude of the parents was identified as the most influential variable for the multiple intelligences of the preschoolers, followed by parental behavior. Parental beliefs just had a very small impact on their multiple intelligences. The findings of the study imply that parents should be helped to improve their parental attitude and parental behavior to boost the multiple intelligences of their preschool children.

Mathematics as Engaged Practice: Professional Mathematicians' Conceptions of Mathematics (전문수학자의 수학에 대한 신념)

  • Ju, Mi-Kyung
    • Journal of Educational Research in Mathematics
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    • v.20 no.4
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    • pp.477-491
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    • 2010
  • This research took an interpretive approach to investigate professional mathematicians' conception of mathematics, particularly focusing on their beliefs about the nature of mathematics as a discipline, and the relation between the discipline and themselves as knowers. The analysis shows that the professional mathematicians consider mathematics as human practice. For mathematicians, mathematics as a product is considered as a crystalization of practice that emerges in the dialogical relation between the discipline and its practitioners. This dialogical nature of mathematics suggests that professional mathematicians consider mathematics not as isolated fixed knowledge but as something they are playfully engaged with. The results of this research extend our understanding of what mathematics is and provide an alternative perspective on mathematics to make the learning of mathematics more accessible by dismantling the myth of the rationalist pure objectivity in mathematics.

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A Study on the Application of Context Problems and Preference for Context Problems Types (유형별 맥락문제의 적용과 그에 따른 유형별 선호도 조사)

  • Kim, Sung-Joon;Moon, Jeong-Hwa
    • Journal of the Korean School Mathematics Society
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    • v.9 no.2
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    • pp.141-161
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    • 2006
  • In this study, we classified word problems related to real life presented in elementary mathematics textbooks into five types of context problems(location, story, project, scrap, theme) suggested by Freudenthal(1991), and applied context problems to mathematics class to analyze the influence on students' mathematical belief and attitude. Also, we examined the types of context problems preferred according to academic performance and the reasons of preference within a group experiencing context problems. The results of the study are as follows. First, almost lessons in the mathematics textbook presents word problems related to real life, but the presenting method is inclined to a story type. Also, the problems with a story type are presented fragmentarily. Therefore, although these word problems are familiar to the students, they don't include contextual meanings and cannot induce enough mathematical motives and interests. Second, a lesson using context problems give a positive influence on their mathematics belief and attitude. It is also expected to give a positive influence on students' mathematics learning in the long run. Third, the preferred types of context problems and the reasons of preference are different according to the level of academic performance within the experimental group.

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The Effects of Application of Meta-problems on Elementary School Students' Mathematical learning (메타문제의 적용이 초등학생의 수학 학습에 미치는 효과)

  • Baek, Myung-Sook;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.11 no.1
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    • pp.43-59
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    • 2007
  • The goal of this thesis was to examine the effects of applying meta-problems to elementary school mathematics class In their achievements, beliefs and attitudes. To achieve this goal the following research questions were asked. a. What effects does the class applied with meta-problem have on students' mathematical achievements? b. What effects does the class applied with meta-problem have on students' mathematical beliefs and attitudes? To answer questions, an experimental study was designed and conducted. The subjects were 6th-grade students at S Elementary School located in Dobong-Gu, Seoul where the researcher teaches. Among them, the class that the researcher teach was chosen as the experimental group. During the experimental study, a teaching-learning with meta-problems was applied to the experimental group and a teaching-learning with general problems was applied to the comparative group. To examine changes in the mathematical achievements of the experimental group and the comparative group, a post-test of mathematical achievements was conducted and the results were t-tested. As well, to find answers to the second research question, a pre-test and a post-test of mathematical beliefs and attitudes were conducted on the experimental group and the results were t-tested. The results of this study were as follows First, the experimental group which was taught applying meta-problems got higher mathematical achievement than the comparative group. Second, the class with meta-problems did not bring significant changes in students' mathematical beliefs and attitudes. Synthesizing the study results above, a teaching-learning with meta-problems is a teaching-learning method that can accommodate problem solving naturally in school mathematics and give a positive effect on students' mathematical achievements.

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A Profile of Mathematical Literacy on Korean Students in PISA 2003 (PISA 2003에 나타난 우리나라 학생들의 수학적 소양의 특징)

  • Na GwiSoo
    • Journal of Educational Research in Mathematics
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    • v.15 no.2
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    • pp.147-176
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    • 2005
  • This study intends to examine the characteristics of mathematical literacy on Korean Students in PISA 2003(Programme for International Student Assessment 2003). We study the mean performance, the distribution of student performance, the student performance in terms of mathematics contents and process and situation and item format, the differences in mean scores between PISA 2000 and PISA 2003, and the gender differences in student performance. In addition to, we study students' engagement with mathematics, students' beliefs about themselves, students' anxiety in mathematics, and students' teaming strategies. Finally, we discuss the reasons of the characteristics of mathematical literacy on Korean students in PISA 2003, and suggest the implications for mathematics educators and educational policy-makers.

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The Effects of Mathematics Learning Mentoring on Mathematical Knowledge for Teaching of Pre-service Mathematics Teachers (수학학습 멘토링이 예비수학교사의 수학교수지식(MKT)에 미치는 영향)

  • Lee, Heonsoo;Kim, Sol;Kang, Sungmo
    • Journal of the Korean School Mathematics Society
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    • v.24 no.4
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    • pp.327-348
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    • 2021
  • This study examines the effects of mathematics learning mentoring activities on mathematical knowledge for teaching (MKT) of pre-service mathematics teachers. We choose six pre-service mathematics teachers in the department of mathematics education at M University. The pre-service mathematics teachers conducted 1:1 mathematics learning mentoring for two hours at a times and twice a week for 15 weeks. The pre-service mathematics teachers submitted the mentor log, which recorded weekly learning and emotional observations. We collected the mentor log and the reflection log of pre-service mathematics teachers and the interviews with pre-service mathematics teachers. Based on the collected data, we analyzed the effects of MKT, the understanding of students, and pre-service mathematics teachers' introspection by mathematics learning mentoring. We obtained conclusions as follows. First, mathematics learning mentoring provides an opportunity for pre-service mathematics teachers to apply the theory of mathematical education to schools. Thus pre-service mathematics teachers express theoretical knowledge as practical knowledge. Second, mathematics learning mentoring helps pre-service mathematics teachers have the ability to understand students and provide opportunities to reflect on their attitudes as learners. Third, mathematics learning mentoring helps advance teaching activities by providing pre-service mathematics teachers with opportunities to reflect on their teaching activities. Finally, mathematics learning mentoring has positively influenced the change in pre-service mathematics teachers' beliefs and teaching intuition.

Comparative Study between Mathematically Gifted Elementary Students and Common Students in Self-Efficacy and Career Attitude Maturity (초등수학영재와 일반학생의 자기효능감과 진로태도성숙과의 관계 비교)

  • Lee, Jung Hwa;Ryu, Sung Rim
    • Communications of Mathematical Education
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    • v.27 no.1
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    • pp.63-80
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    • 2013
  • Reflecting the recent trends and needs of gifted education, this study set out to compare and analyze mathematically gifted elementary students and common students in self-efficacy and career attitude maturity, understand the characteristics of the former, and provide assistance for career education for both the groups. The subjects include 237 mathematically gifted elementary students and 221 common students in D Metropolitan City. The research findings were as follows: First, mathematically gifted elementary students turned out to have higher self-efficacy than common students at the significance level of .01 in the three self-efficacy subfactors, namely confidence, self-regulated efficacy, and task difficulty preference. The findings indicate that mathematically gifted elementary students have much confidence in themselves and strong faith in themselves, thus forming a habit of preferring a relatively high-level task by taking self-management and task difficulty into proper consideration. Second, mathematically gifted elementary students showed higher overall career attitude maturity than common students. There was significant difference at the significance level of .01 in decisiveness and preparedness between the two groups and significant difference at the significance level of .05 in assertiveness. However, there was no statistically significant difference in purposefulness and independence between the two groups. Finally, there were positive correlations at the significance level of .01 between all the subfactors of self-efficacy and those of career attitude maturity in all the subjects except for self-regulated efficacy and purposefulness, between which there were positive correlations at the significance level of .05. The mathematically gifted elementary students showed positive correlations between more subfactors of self-efficacy and career attitude maturity than common students. Given those findings, it is necessary to take differences in self-efficacy and career attitude maturity between mathematically gifted elementary students and common students into account when organizing and running a curriculum. The findings confirm the importance of providing students with various experiences fit for them and point to a need for helping mathematically gifted elementary students maintain a high level of self-efficacy and guiding them through career education with more appropriate career attitude maturity improvement programs.