• Title/Summary/Keyword: teaching and learning of mathematics

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Research on the Relationships between Students' Beliefs about Mathematics Teaching-Learning and Mathematics Classroom Culture

  • Xiaogui, Zhang
    • Research in Mathematical Education
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    • v.12 no.3
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    • pp.167-177
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    • 2008
  • The students' beliefs about mathematics teaching-learning come from the social activities in mathematics classrooms; and the mathematics classroom culture to a large extent decides the social activities in mathematics classrooms. So, the students' beliefs about mathematics teaching-learning are decided indirectly by the mathematics classroom culture mainly. The students' beliefs about mathematics teaching-learning react to the social activities in mathematics classrooms, and the social activities in mathematics classrooms react to the mathematics classroom culture. Therefore, the students' beliefs about mathematics teaching-learning react indirectly to the mathematics classroom culture. So, the relationships between the students' beliefs about mathematics teaching-learning and the mathematics classroom culture are dialectic, and the social activities in mathematics classrooms are the medium. In addition, the relationships have some inspirations to the current mathematics curriculum reform in the mainland China.

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The Role of Teachers in Reform the Culture of Mathematics Classroom (수학 교실 문화 개선을 위한 교사의 역할)

  • Park, Sung-Sun
    • Education of Primary School Mathematics
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    • v.10 no.2
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    • pp.151-161
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    • 2007
  • There were a lot of attempt to reform mathematics education. These may include reforms of teaching and learning methods, development of mathematics curriculum and textbooks, materials and resources for teaching. But the most important thing is reform of teaching and learning method. The teaching and learning in mathematics is related with culture of mathematics classroom. Thus the culture of mathematics classroom plays a critical role in the learning of mathematics. Although there is consensus what desirable culture of mathematics classroom is, the role of teachers is important to make desirable culture of mathematics classroom. So, this paper suggested the role of teachers in reforming the culture of mathematics classroom. Avoiding from routine and technical teaching, the teachers should play active role in constructing mathematical understanding of students.

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A Study on the Development of a Mathematics Teaching and Learning Model for Meta-Affects Activation (수학 교과에서 메타정의를 활성화하는 교수·학습 모델 개발)

  • Son, Bok Eun
    • East Asian mathematical journal
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    • v.38 no.4
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    • pp.497-516
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    • 2022
  • In this study, we tried to devise a method to activate meta-affect in the aspect of supporting mathematics teaching and learning according to the need to find specific strategies and teaching and learning methods to activate learners' meta-affect in mathematics subjects, which are highly influenced by psychological factors. To this end, the definitional and conceptual elements of meta-affect which are the basis of this study, were identified from previous studies. Reflecting these factors, a teaching and learning model that activates meta-affect was devised, and a meta-affect activation strategy applied in the model was constructed. The mathematics teaching and learning model that activates meta-affect developed in this study was refined by verifying its suitability and convenience in the field through expert advice and application of actual mathematics classes. The developed model is meaningful in that it proposed a variety of practical teaching and learning methods that activate the meta-affect of learners in a mathematical learning situation.

Changes in Teaching Behaviors and Awareness of Pre-service Mathematics Teachers by Using Survey on Self-reflection during Education Practices (반성적 수업 분석지를 활용한 교육실습에서 중등수학 예비교사의 교수행동 및 인식 변화)

  • Kwon, JongKyum
    • Journal for History of Mathematics
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    • v.27 no.5
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    • pp.365-384
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    • 2014
  • The purpose of this study is to assess the changes that occur to pre-service mathematics teachers by using survey on the self-reflection during their education practices. For four weeks of the education practice period, the changes to pre-service teachers are analyzed from teaching and learning perspectives. The teaching perspective is sub-categorized into lesson contents, teaching methods, and evaluation on teaching, and the learning perspective is sub-categorized into monitoring on learning, support for learning and evaluation on learning. The analysis shows that significant changes occur in teaching contents from the teaching perspective and in all the sub-categories from the learning perspective. Based on the analysis, preservice teachers are suggested to utilize self-reflection programs during their education practices to promote their professionalism in teaching.

Development of Elementary Mathematics Teaching-Learning Programs for pre-Service Elementary Teacher (초등교사 양성 대학의 초등수학교육에 대한 교수-학습 프로그램 개발)

  • 신준식
    • The Mathematical Education
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    • v.42 no.4
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    • pp.453-463
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    • 2003
  • The main purpose of this paper is to develope elementary mathematics teaching-learning programs for pre-service elementary teachers. The elementary mathematics education program developed in this work is divided into two parts: One is the theory, the other is the practice. The theory deals with the foundations of mathematics, the objectives of mathematics education, the history of mathematics education in Korea, the psychology of mathematics learning, the theories of mathematics teaching and learning, and the methods of assessment. With respect to the practice, this study examines the background knowledge and activities of numbers and their operation, geometry, measurement, statistics and probability, pattern and function.

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A Study on School Mathematics Field Trips for Teaching & Learning Method in Mathematics Education (수학 교수·학습을 위한 '학교수학답사'의 개념 탐색)

  • Suh, Bo Euk
    • The Mathematical Education
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    • v.54 no.1
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    • pp.31-47
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    • 2015
  • School Math Field Trips(SMFT) for School Mathematics can be defined as teaching and learning activity of mathematics going into the field of Korean history, culture, science and technology. This is a literature analysis study to systemize teaching and learning method of mathematics based on literature analysis and real SMFT activity. First, SMFT was introduced to improve cognitive affective and cultural-mathematical teaching and learning method of mathematics. Second, SMFT has three purposes of cognitive, affective and cultural-mathematical. Third, to conduct mathematical education activity the direction of teaching was set. Forth, the progressing way of developing material and SMFT was researched. Fifth, developing the evaluation standard of SMFT and evaluation method was suggested.

Development of a Teaching/Learning Model for the Mathematical Enculturation of Elementary and Secondary School Students

  • Kim, Soo-Hwan;Lee, Bu-Young;Park, Bae-Hun
    • Research in Mathematical Education
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    • v.1 no.2
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    • pp.107-116
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    • 1997
  • The purpose of this study is to develop a teaching/learning model for the mathematical enculturation of elementary and secondary school students. It is clear that the development of teaching and learning in the classroom is essential for the realization of global innovations in mathematics education. Research questions for this purpose are as follow: (1) What can be learned from literatures reviews of the socio-cultural perspective on mathematics education, and of ethnomathematics as a mathematics intrinsic to cultural activities? (2) What is the direction of teaching and learning from the perspective of mathematical enculturation? (3) What is the teaching /learning model for mathematical enculturation? (4) What is the instructional exemplification based on the developed model? This study promotes the establishment of mathematics education theory from the review of literatures on the socio-cultural perspective, the development of a teaching/learning model, and the instructional exemplification based on the developed model.

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A Study on the Use of Technology in Teaching-learning School Mathematics (학교수학 교수.학습에서 기술공학의 활용 연구)

  • Lee, Jung-Rye
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.29-48
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    • 2010
  • The purpose of this paper is to discuss about the use of technology in teaching-learning school mathematics. In this paper, we study the theoretical background of teaching-learning school mathematics by the use of technology. For the purpose of successful use of technology in teaching-learning school mathematics, we research the present states of it appeared in textbooks of high school mathematics And we give suggestions for the effective use of technology in teaching-learning school mathematics. Furthermore, we introduce models for teaching-learning school mathematics in areas of mathematics by the use of computer programs such as GSP, Maple, and GrafEq.

The Effect of Teaching Experience in After-School Learning Programs: Implication for the Development of Mathematics Teacher Education Program (대학생 교사제의 효과 분석: 사범대학 수학교사교육 프로그램 개발을 위한 제언)

  • Ju Mi-Kyung
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.295-313
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    • 2006
  • University teacher education programs have sought for ways of how to improve student teaching in order to supply mathematics teachers with practical theory to achieve the goals of the current educational reform in school mathematics. In this context, the purpose of this research is to investigate the effect of student teachers' teaching experience in the after-school mathematics programs and the ways of how to develop the after-school learning programs as an effective site for learning to teach based on the inquiry into student teachers' own teaching experience. For the purpose, data were collected through the interviews with the student teachers who had taught after-school mathematics class. In addition, data were collected through survey, class observation, and seminal meetings with the student teachers in order to supplement the findings from the interview analysis. Data analysis focused on the student teachers' experience with teaching in after-school mathematics classes, that is, what and how they had learned as teachers, what kinds of difficulties they encountered in their teaching and supports that they expect to improve their learning through teaching. The analysis shows that the teaching experience in the after-school programs had positively contributed to their development as future mathematics teachers. Specifically, the after-school programs provide the site for learning through teaching at the early stage of teacher education program. The after-school programs provided the students teachers for the opportunity to participate peripherally in educational practice of school. Through the participation, the student teachers developed positive attitudes toward teaching career and became to have more solid ideas about how to teach mathematics. Based on the analysis, this research provides following suggestions concerning how to improve student teaching. First, it is necessary to provide student teachers to participate into the practice of teaching at the early stage of teacher education programs. Second, it is important to give students teacher opportunity to participate in teaching at peripheral and legitimate positions. Finally, it is necessary to construct mentoring networks to support student teachers to move from a peripheral position toward a center of teaching practice.

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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.