• Title/Summary/Keyword: 수학과 정의적 영역

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The Development and Validation of the Survey of Students' Affective Characteristics in the Non-Cognitive Domain of Mathematics Learning (수학학습 정의적 영역 검사 도구 개발 연구)

  • Lee, Hwan Chul;Kim, Hyung Won;Ee, Ji-hye;Yi, Hyun Sook;Ko, Ho Kyoung
    • School Mathematics
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    • v.19 no.2
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    • pp.267-287
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    • 2017
  • Fostering students' positive affect related to mathematics such as attitudes toward mathematics and dispositions toward learning mathematical concepts is one of the major goals of school mathematics programs. In this study, we collected data from students at the 4-1 grade levels to develop an instrument that measures students' affect regarding mathematics learning. To develop the instrument, we first conducted focus group interviews, which we recorded, transcribed, and analyzed. We sorted the results according to seven components of the non-cognitive domain of mathematics learning, which drew from taxonomical constructs of previous research. We then conducted a pilot study in which we administered the instrument as a pretest and a posttest. We chose the final items based on confirmatory factor analysis and a reliability test of the pre and posttest scores. The final instrument contains 24 items, which are classified according to the seven components: interest, attitudes, value, external motivation, internal motivation, learning conation, and efficacy. We anticipate this instrument will be useful for studies that need to measure students' non-cognitive characteristics in relation to learning mathematics.

Elementary School Students Who Give Up on Learning Mathematics: Correlations with Non-cognitive Learner Characteristics (초등학생의 수학학습 포기 인식과 정의적 요인 연관성 분석)

  • Ko, Ho Kyoung;Kim, Hyung Won;Kaji, Shizuo;Choi, Suyoung
    • Education of Primary School Mathematics
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    • v.20 no.2
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    • pp.143-151
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    • 2017
  • An increasing number of students are giving up on learning mathematics at all grade levels, including elementary school. The study in this paper considers seven non-cognitive student characteristics to identify which are strongly correlated with giving up on mathematics at the elementary school level. Data were collected with a survey on the non-cognitive domain of mathematics learning that was developed by the Korea Foundation for the Advancement of Science and Creativity in 2015. The data were collected from 3,636 elementary school students in Korea, and we analyzed the data using the statistical computing program R. Of the seven components, efficacy and interest have a strong correlation with students' tendency to profess that they have given up trying to learn mathematics. The findings of the study shed light on which non-cognitive domain areas mathematics teachers need to pay more attention to in order to make their teaching effective. This study further investigated the correlation between responses to each of the 24 survey items and students' claim that they have given up on mathematics. Using the 8 items with the highest correlations, we have developed a shorter, 8-item version of the survey, which will be useful for similar future studies.

The Actual Condition of Affective Aspects in the North Korean Adolescents Defectors in Learning Mathematics at Alternative Schools (탈북청소년 대안학교 학생들의 수학 학습에서의 정의적 영역에 대한 실태 조사)

  • Gweon, Min Jin;Ee, Ji Hye;Huh, Nan
    • Communications of Mathematical Education
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    • v.33 no.4
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    • pp.455-470
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    • 2019
  • The purpose of this study is to investigate of the North Korean adolescents defectors' mathematics learning. We have investgated the characteristics of the North Korean adolescents defectors' mathematics learning states and their difficulties in mathematics learning. As a result, the affective domain of the North Korean adolescents defectors was less confident, worthy, and motivated to learn than the South Korean students. The abandonment rate of the North Korean adolescents defectors was higher than that of the South Korean students. According to the results of the survey, the North Korean adolescents defectors who attended elementary school in Korea compared to the births of the North Koreans and other countries had higher interest and desire for learning. Especially, the result showed that the difficulty of learning the mathematics of the North Korean defectors was the linguistic factor.

A Case Study on the Affective Change of Underachieving Students in Mathematics During Reciprocal Peer Tutoring (상호 또래교수 활동 과정에서 수학 학습부진학생의 정의적 영역 변화 사례 분석)

  • Kim, KiYun;Lee, BongJu
    • Journal of the Korean School Mathematics Society
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    • v.22 no.3
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    • pp.221-240
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    • 2019
  • The purpose of this study is to suggest Reciprocal Peer Tutoring(RPT) for mathematics underachieving students as one way of the instructional strategies to supplement their lack of mathematics learning and to provide them with successful experiences in learning mathematics. We defined underachieving student in mathematics as the student whose mathematics achievement was high or middle level in the middle school but became lower in high school. Four mathematics underachievers voluntarily participated in this study. We examined the effects and roles of RPT by focusing on their positive change in the affective domain. RPT was conducted for about three months, including pre-training, pretest, and posttest. As the results of this research, RPT has generally made positive changes in the affective domain of underachieving mathematics students. Although four students did not show the same pattern of change and the sub-elements of positive change were different for each student, RPT provided opportunities for 4 all students to experience positive change.

Factor Analysis and Measurement Invariance Test of Mathematical Affectiveness in High Mathematical Achievement Countries (수학 학업성취도가 높은 국가의 수학-정의적 영역 요인 분석 및 측정 동일성 검증)

  • Lee, Chong-He;Kim, Ki-Yoen;Kim, Soo-Jin
    • School Mathematics
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    • v.13 no.2
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    • pp.307-321
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    • 2011
  • Recognizing the importance of affective factors in mathematical learning and achievement, international comparative assessment as PISA and TIMSS survey affective achievement as well as scholastic achievement. On the affective survey those items of PISA are categorized by 5 factors ; interest of mathematics, instrumental motivation, Mathematics self-efficacy, mathematics anxiety, mathematics self-concept) and those of TIMSS are categorized by 3 factors; Positive affect toward mathematics (PATM), Students' Self-Confidence in Learning Mathematics(SCM), and Students' Valuing Mathematics(SVM). In this study we carried out Exploratory Factor Analysis, Confirmatory Factor Analysis and Measurement Equivalence/Invariance to find whether the constructs are well defined and divided. As a result of our analysis, some factors were overlapped in PISA whereas the items of TIMSS were categorized as intended in TIMSS study. Based on these results, it is confirmed that the questionnaire items need to be developed to understand our students affective characteristics. Also, how questionnaire of large-scaled international assessment can give implication to the development of the questionnaire of Korean specific.

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Secondary mathematics teachers' recognition of the affective domain and analysis od condition in mathematics teaching (중등 수학 교사들의 정의적 특성에 대한 인식과 수업 실태 분석)

  • Han, Hye-Sook;Choi, Kye-Hyen
    • Journal of the Korean School Mathematics Society
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    • v.14 no.4
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    • pp.491-518
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    • 2011
  • According to a number of recent studies, Korean students' affective achievement was at much lower level than cognitive achievement, which indicated the needs for nationwide researches. Although a variety of effort was put into finding ways to improve students' affective achievement, few researches focused on teachers was being underway. Thus, this study was conducted with 327 secondary school mathematics teachers in Gyeonggi-do- by survey method to investigate on how teachers feel affective domain in their teaching practice, how much they it into account at class, and what their wills or plans are to put it into action. According to the results, there existed a distinctive gap between teachers and students in affective domain.

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Exploring the Conceptual Elements and Meaning of Meta-affect in Mathematics Learning (수학 학습 메타 정의의 개념 요소와 의미 탐색)

  • Son, Bok Eun;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.35 no.4
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    • pp.359-376
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    • 2021
  • In this study, in accordance with the research trend that the learner's emotions expressed positively or negatively in mathematics learning or the learner's beliefs and attitudes toward mathematics learning affect the results of mathematics learning, the learner's emotions and affective factors are analyzed in the learner's own learning. A power that can be adjusted according to a goal or purpose is needed, and I tried to explain this power through meta-affect. To this end, the meaning of the definitional and conceptual factors of meta-affect was explored based on prior studies. Affective factors of meta-affect were viewed as emotions, attitudes, and beliefs, and conceptual factors of meta-affect were viewed as awareness, evaluating, controlling, utilization, and monitoring, and the meaning of each conceptual factor was also defined. In this study, the conceptual factors and meanings of meta-affect in terms of using them to help in learning mathematics by controlling them, beyond the identification or examination of the characteristics of the affective factors, which are meaningfully dealt with in the field of mathematics education.

Effects of Process-Focused Assessment Using Student Self-Assessment on Mathematics Achievement and Affective Domain (자기 평가를 통한 과정 중심 평가가 수학 학업 성취도와 정의적 영역에 미치는 영향)

  • Moon, Sojung;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.3
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    • pp.279-297
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    • 2020
  • The purpose of this study is to find ways to establish and operate Process-focused Assessment in the classroom as the 2015 revised curriculum has emerged. As a way of doing so, we proposed a Process-focused Assessment through self-assessment and looked at the impact of the applied classes on the mathematical academic performance and affective domain of fifth-grade elementary school students. After selecting two classes of fifth grade with proven homogeneity for research, the experimental group applied Process-focused Assessment through self-assessment and the teacher-led Process-focused Assessment to the comparative group. As a result, it was confirmed that the classes applying Process-focused Assessment through self-assessment significantly improved the math and academic performance of fifth-grade elementary school students. The affective domain of the experimental group did not change significantly, but the analysis of the students' comments and interview data showed that they had more interest and confidence in mathematics.

Reconsideration on the Affective Goals in Mathematics Education (수학 교육의 정의적 목표에 대한 재고)

  • Kim, Sun-Hee;Kim, Ki-Yoen
    • Journal of Educational Research in Mathematics
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    • v.21 no.2
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    • pp.149-163
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    • 2011
  • While the affective aspects are emphasized in the current mathematics curriculum in Korea, it is just indicated a superficial degree. Therefore in this study, based on consideration for internal representational system theories, a dynamic viewpoints of self-system processes, socio-constructivist perspectives, and motivation theories, we discuss the meaning of affective competency, the motive of mathematics learning, mathematical identity of students, social environments and affective experiences, then we suggest an affective frame in mathematical learning. Hereby, we suggest what should be considered in affect instructions and the alternative goal of mathematical education in affective aspects.

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The Effect of Cooperative Learning and Peer Tutoring Program on Cognitive Domain and Affective Domain : A Meta-Analysis (협동학습 및 또래교수 프로그램이 수학학습부진학생의 인지적.정의적 영역에 미치는 효과 메타분석)

  • Lee, Hyeung Ju;Ko, Ho Kyung
    • Journal of Educational Research in Mathematics
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    • v.25 no.1
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    • pp.113-137
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    • 2015
  • The objective of the present study is to systematically examine the effects of on the cognitive and affective domains of elementary, middle, and high school students by conducting a meta-analysis. To this end, this study selected 31 research papers that had analyzed the effects of applying, and performed a meta-analysis of the findings presented in each research paper. The results obtained from the meta-analysis are presented as follows. First, both the collaborative learning program and the peer tutoring program for underachieving students in math manifested an above average size of effect in the cognitive domain. In particular, the effect was the greatest at the elementary school level, and out of the two programs, peer tutoring was identified to have a sizable effect. Second, both programs displayed an above average size of effect in the affective domain, and peer tutoring was identified to have a higher effect than collaborative learning. In addition, when the programs were compared based on school levels, the size of effect was highest at the elementary school level followed by middle school and high school, in that order. When compared based on the criteria of the affective domain, self-efficacy in math, learners' attitude toward math, and learners' interest in math were identified to. Finally, this study presented suggestions for teaching underachieving students in math and conducting follow-up studies based on the analysis results.