• Title/Summary/Keyword: Teaching of mathematics

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Inductive Analysis Approach on Middle Grade Mathematics Pre-Service Teachers' Teaching Philosophies (중등 예비 수학 교사의 교육철학에 대한 귀납적 분석)

  • Han, Sunyoung
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.599-615
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    • 2015
  • Teachers' philosophies have not been emphasized enough in the current teacher education curriculum even though teacher's philosophy palys a critical role in schools and classrooms. The examination on pre-service teachers' teaching philosophies is necessary to improve teacher education curriculum so that teaching philosophies are often discussed in the courses of 'pedagogical content knowledge' as well as 'general education.' Therefore, the current study investigated 44 pre-service teachers' teaching philosophies, their sub domains, and relationships among the sub domains. The previous studies regarding mathematics teacher's teaching philosophy were more about 'teacher's belief' and employed deductive inference approach using surveys or questionnaires. These studies commonly pointed out that there were three major domains of 'belief on mathematics itself,' 'belief on teaching mathematics,' and 'belief on learning mathematics.' As these three domains of teacher's philosophy has been strengthened, there were very few studies examining the other potential domains of teacher's teaching philosophy. According to the findings of the present study, which employed inductive inference approach and pre-service teachers' free essay writing assignment, 'belief on teacher's role in mathematics classroom,' 'belief on the purpose of mathematics education,' and 'motivation to be a mathematics teacher' were additionally illuminated as sub domains of teacher's teaching philosophy. Moreover, the interrelationship among the sub-areas of teacher's teaching philosophy was disclosed. Specifically, 'belief on the purpose of mathematics education' and 'motivation to be a mathematics teacher' influenced the other sub domains. This implies that the relationships among the sub domains of teacher's teaching philosophy were more likely to be causal and vertical relationships rather than independent and parallel relationships. Finally, the findings from the current study provide implications indicating how pre-service teachers' teaching philosophies might be established in mathematics education courses for future research and education.

Insight into the Development of Mathematics Teaching: A Comparative Study of Two Videotaped Lessons

  • Li, Shiqi;Yang, Yudong
    • Research in Mathematical Education
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    • v.11 no.3
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    • pp.165-176
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    • 2007
  • From the perspective of phenomenongraphy(根据登的象式), two videotaped mathematics lessons were observed, compared and analyzed, and the features of those times were extracted. The quantitative and qualitative analysis of the global structure and the questioning in the lessons etc. showed that in teaching behaviors there were some essential differences reflecting the impact of new beliefs and principles of teaching. Evidences also show that excellent teachers did keep and carry on the good tradition teaching for basic knowledge and basic skills were seen as the most important thing in mathematics teaching in China.

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A Study on the Model for the Development of Tools for Math Activities & it's Application (수학체험교구 개발 모형 및 이를 적용한 최대공약수 교구 개발 연구)

  • Suh, Bo Euk
    • Communications of Mathematical Education
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    • v.34 no.4
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    • pp.587-603
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    • 2020
  • This study is a basic study to effectively develop a mathematics experience object, an important tool and educational tool in mathematics education. Recently, as mathematics education based on action theory is emphasized, various mathematics experience objects are being developed. It is also used through various after-school activities in the school. However, there are insufficient cases in which a mathematics experience teaching tools is developed and used as a tool for explaining mathematics concepts in mathematics classrooms. Also, the mathematical background of the mathematics experience teaching tools used by students is unclear. For this reason, the mathematical understanding of the toolst for mathematics experience is also very insufficient. Therefore, in this study, a development model is proposed as a systematic method for developing a mathematics experience teaching tools. Also, in this study, we developed 'the Great Common Divisor' mathematics experience teaching tool according to the development model. Through the model proposed through this study and the actual mathematics experience teaching tool, the development of various tools for mathematical experience will be practically implemented. In addition, it is expected that various tools for experiencing mathematics based on mathematical foundations will be developed.

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.

The Effects of Constructive Teaching Beliefs and Eco-friendly Teaching Attitudes on The Mathematics Teaching Efficacy of Early Childhood Teachers (유아교사의 구성주의적 교육신념과 자연친화적 교수태도가 수학교수효능감에 미치는 영향)

  • Oh, Injeong;Kim, Jihyun
    • Korean Journal of Childcare and Education
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    • v.14 no.1
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    • pp.269-286
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    • 2018
  • Objective: The purpose of this study was to clarify the influences of constructivist educational beliefs and eco-friendly teaching attitudes on early childhood teachers' mathematics teaching efficacy. This study also examined the mediating effect of eco-friendly attitudes on the relationship between the other two variables. Methods: A total of 399 teachers teaching 3,4 and 5-year-olds in Seoul, Gyeonggi and Incheon participated in this study. The data were analyzed using the SPSS Win 21.0 program and the Sobel test. Results: First, mathematical teaching efficacy of early childhood teachers was significantly correlated with constructivist educational beliefs and eco-friendly teaching attitudes. Second, with teacher's career as the control variable, constructivist educational beliefs have more influence in mathematical teaching efficacy than the other variable. Third, eco-friendly teaching attitude partially mediated between the other two variables. Conclusion/Implications: The results of this study imply that constructivist educational beliefs and eco-friendly teaching attitudes are important factors on mathematics teaching efficacy. It is expected that it will be used as basic data for various programs that increase constructivist educational beliefs and eco-friendly teaching attitudes.

The Study on the Investigation of the Mathematics Teaching Evaluation Standards Focused on Teaching and Learning Methods and Assessment (수학 수업의 교사 지식에 관한 평가 요소 탐색 - 교수.학습 방법 및 평가를 중심으로 -)

  • Hwang, Hye-Jeang
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.241-263
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    • 2011
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including ‘teaching and learning methods and assesment' between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those three studies (namely, evaluation standards) focused on the knowledge of 'teaching and learning methods and assessment'. For this purpose, seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. According to those seventh evaluation domains, elements on teaching evaluation focused on the knowledge of 'teaching and learning methods and assessment' were established.

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A Study on the Relationship between Mathematics Anxiety and Mathematics Teaching Anxiety in Elementary School Teachers (초등학교 교사의 수학불안과 수학교수불안의 상관관계 분석 연구)

  • Kim, Rina
    • Education of Primary School Mathematics
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    • v.24 no.2
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    • pp.71-81
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    • 2021
  • In this study, I investigate the relationship between mathematics anxiety and mathematics teacher anxiety of elementary school teachers with integrated method. As a result of statistical analysis of the survey of 256 elementary school teachers, there was a statistically significant positive correlation between the two factors (r = .630, p <.05). The analysis show that teaching experience and degree may affect mathematics anxiety and teaching experience, degree, and teacher qualification may affect mathematics teaching anxiety. Subsequently I conduct a qualitative study focusing on interviews with 20 elementary school teachers. As a result of the analysis, I confirm that even if the mathematics anxiety is low, mathematics teaching anxiety may occur due to the teaching environment. As a result of the quantitative and qualitative analysis of this study, Korean elementary school teachers' mathematics anxiety and mathematics teaching anxiety might be regarded as separate factors. From the result of the study, I suggest that mathematics anxiety and mathematics teaching anxiety of elementary school teachers, each emotional state might be considered as independent emotional status. The implication of the study indicate that independent methods might be developed in order to prevent and treat mathematics anxiety and mathematics teaching anxiety in elementary school teachers.

A Study on pre-service mathematics teachers' perceptions of the role and teaching guidance of cooperating teachers in mathematics teaching practicum (수학과 수업실습에서 실습지도교사의 지도 활동 및 역할에 관한 교육실습생들의 인식 연구)

  • Han, Hyesook
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.747-769
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    • 2014
  • The purposes of this study were to investigate pre-service mathematics teachers' perceptions of the role of cooperating teachers and teacher interactions during teaching practicum. Thirty-four pre-service mathematics teachers who finished student teaching participated in the study. The researcher collected data from various sources such as a questionnaire, interviews, and written documents. According to the results of the study, more than 50 percent of the participants showed negative responses to all of the questionnaire items on teaching activities or guidance of cooperating teachers. Cooperating teachers mainly played a role in the stage of reflection of student teacher's teaching practice, and they provided specific feedback and guidance of teaching and learning methods and contents. Cooperating teachers played roles as (mathematics) teacher educators, classroom observers, and co-teachers, but their roles as teacher educators or co-teachers should be more stressed for pre-service mathematics teachers' professional development.

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A Study on the Characteristics of Advanced Students and Teaching Material for Them in Elementary Mathematics Education (초등수학 우수아의 특성과 지도 자료의 예시)

  • 이경화
    • Journal of Educational Research in Mathematics
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    • v.11 no.1
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    • pp.37-50
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    • 2001
  • This is the study on the characteristics of advanced students and teaching material in elementary mathematics education. There is a survey on the needs of considering mathematically advanced students in teacher's, students', and social point of view, respectively. We present an exemplary teaching plan and material.

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A Comparative Study on Problem Situation of Multiplication Facts (1st and 0th multiplication) in Elementary Mathematics (초등수학에서 곱셈구구 1단 및 0의 곱 문제 상황 비교)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.35 no.4
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    • pp.467-488
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    • 2019
  • The purpose of this study is to analyze multiplication facts(1st and 0th multiplication) in elementary mathematics. In the 2015 revised curriculum, students learn multiplication and multiplication facts in the 2nd grade. Many teachers experience difficulties in organizing the multiplication problem situation in multiplication facts(1st and 0th multiplication). This study aims to consider the causes of these difficulties and devise teaching methods. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2015 revised curriculum) and the six foreign elementary mathematics textbooks(Taiwan, Japan, Finland, Unites States, Hongkong, Singapore). As a result, the multiplication problem situation and the multiplication model assume the same bundle and bundle model. Also, we must consider the teaching timing of multiplication facts(1st and 0th multiplication) and the use of commutative law. In this study, we proposed a multiplication teaching scheme in consideration of the multiplication problem situation and teaching model, teaching period and commutative law etc.. to teach multiplication facts(1st and 0th multiplication) in elementary mathematics.