• Title/Summary/Keyword: teacher understanding

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Problem Posing in the Instruction of Proof: Bridging Everyday Lesson and Proof

  • Kim, Hangil
    • Research in Mathematical Education
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    • v.24 no.3
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    • pp.255-278
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    • 2021
  • Proof serves a critical role in mathematical practices as well as in fostering student's mathematical understanding. However, the research literature accumulates results that there are not many opportunities available for students to engage with proving-related activities and that students' understanding about proof is not promising. This unpromising state of instruction of proof calls for a novel approach to address the aforementioned issues. This study investigated an instruction of proof to explore a pedagogy to teach how to prove. The teacher utilized the way of problem posing to make proving a routine part of everyday lesson and changed the classroom culture to support student proving. The study identified the teacher's support for student proving, the key pedagogical changes that embraced proving as part of everyday lesson, and what changes the teacher made to cultivate the classroom culture to be better suited for establishing a supportive community for student proving. The results indicate that problem posing has a potential to embrace proof into everyday lesson.

Teacher Change in Teaching Practices Towards Developing Students' Reasoning in Mathematics

  • Kim, Hee-Jeong
    • Research in Mathematical Education
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    • v.18 no.3
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    • pp.223-234
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    • 2014
  • Research shows that formative assessment has a more powerful effect on student learning than summative assessment. This case study of an 8th grade algebra classroom focuses on how the implementation of Formative Assessment Lessons (FALs) and the participation in teacher learning communities related to FALs changed in the teacher's instructional practices, over the course of a year, to promote students' mathematical reasoning and justification. Two classroom observations are analyzed to identify how the teacher elicited and built on students' mathematical reasoning, and how the teacher prompted students to respond to and develop one another's mathematical ideas. Findings show that the teacher solicited students' reasoning more often as the academic year progressed, and students also began developing mathematical reasoning in meaningful ways, such as articulating their mathematical thinking, responding to other students' reasoning, and building on those ideas leading by the teacher. However, findings also show that teacher change in teaching practices is complicated and intertwined with various dimensions of teacher development. This study contributes to the understanding of changes in teaching practices, which has significant implications for teacher professional development and frameworks for investigating teacher learning.

Perception of Education Community about Teacher's Competency (교사의 핵심역량에 대한 교육공동체의 인식 조사)

  • SUNG, Bung-Chang;BOO, Jae-Yool;HAN, Kyung-Im;LEE, Kyeong-Hwa
    • Journal of Fisheries and Marine Sciences Education
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    • v.21 no.1
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    • pp.78-95
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    • 2009
  • The purpose of this study is to define areas and standards of kindergarten teacher's competency through survey research and interview with early childhood education community - kindergarten teachers, vice principals, principals, administrators, parents, and professors in early childhood education. Raw data from 62 interviewees were grouped into 25 codes including 'professional knowledge about young children's developmental characteristics, and labeled for representative themes. Based on the result of interview analysis, two areas of 'knowledge and skill' area (15 standards) and 'attitude and grounding' area (20 standards) were classified, survey researched for appropriateness and relative importance of each standard. 704 members of early childhood education community were collected through stratified sampling. The research findings indicate that 'observation and evaluation ability for young children' and 'affection for young children' showed high appropriateness in 'knowledge and skill area' and 'attitude and grounding area', respectively. In the relative importance analysis, 'understanding of young children's development', 'understanding of curriculum for young children', and 'understanding of young children's behavioral problem and counseling' for knowledge and skill area, and 'respect for young children', 'affection for young children', responsibility', 'positive attitude' for attitude and grounding area showed high relative importance in order.

A Study on Elementary Pre-service Teacher's Understanding about 'Estimation' (초등예비교사의 '어림하기' 이해에 대한 고찰)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.33 no.2
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    • pp.177-197
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    • 2017
  • The purpose of this study is to investigate and analyze the understandings of elementary pre-service teachers about 'estimation' in the elementary mathematics. Together with this analysis, we identify elementary pre-service teacher's Mathematical Pedagogical Contents Knowledge(MPCK), especially focusing to Subject Matter Knowledge(SMK). In order to this goals, we investigate contents relating to 'estimation' from $1^{st}$ curriculum to 2009 revised curriculum and compare 'rounding up', 'rounding off', 'rounding' in the elementary mathematics textbooks. As results of investigations, 'estimation' has been teaching at the 'Measurement' domain from $3^{rd}$ curriculum, but contexts of measuring weaken from $7^{th}$ curriculum. 'Rounding up(off)' is defined three types in the textbooks from $1^{st}$ to 2009 revised curriculum. And we examine elementary pre-service teachers through the questions on these 'estimation' contents. On the analysis of pre-service teacher's understanding relating MPCK, four themes is summarized as followings; the understanding of '0' in the 'rounding up', the cognitive gap between 'rounding up' and 'rounding off', the difference of percentage of correct answers according to types of question in the 'rounding up', and the difference between the definition of 'rounding up' and the definition of 'rounding'.

Research on School Health Preliminary Teacher's Teaching Practice to the Use of NVivo 10 in Analyzing (보건교사 교육실습생들의 학교현장실습경험 분석: NVivo 10 활용)

  • Chung, Mi Ja;Moon, Hee;Sun, Chun Ja;Li, Dong Mei
    • Journal of Korean Public Health Nursing
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    • v.28 no.3
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    • pp.574-589
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    • 2014
  • Purpose: This study was designed for understanding their experiences through qualitative research method. There is a growing concern about what the trainee school health teachers experience during teaching practice period, the first experience as a teacher. Method: Data collection was conducted on 2012-2014, using the student teaching practice self-reports. Participants included 43 school health preliminary teacher's teaching practice from G colleges. The study conducted a qualitative analysis by utilizing computer assisted qualitative data analysis software(CAQDAS), NVivo 10. Results: The trainees experienced that tension, excitement and fear was changed to joy, rewarding and gratitude. They defined the practice as a standard of the possibility in the capacity of a future teacher. It was a hard job without a sense of accomplishment. They thought that too much works in school health teacher and thanks to the school and teacher for the teaching opportunities. They think teaching as a hard job to endure without a sense of accomplishment. Conclusion: Findings of this study allow for a comprehensive understanding of trainees. It was investigated the suggestions for the improvement of a teaching practice. The challenge need to the expand school health teacher placement and more research.

Promoting Teacher Learning: Implications for Designing Professional Development Programs (수학교사의 수업전문성 신장을 위한 교사 연수 프로그램 개발의 기본 관점)

  • Kim, Goo-Yeon
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.619-633
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    • 2010
  • To offer insights in organizing professional development programs to promote teachers' substantial ongoing learning, this paper provides an overview of situative perspectives in terms of cognition as situated, cognition as social, and cognition as distributed. Then, it describes research findings on how mathematics teachers can enhance their knowledge and thus improve their instructional practices through participation in a professional development program that mainly provides opportunities to learn and analyze students' mathematical thinking and to perform mathematical tasks through which they interpret the understanding of students' mathematical thinking. Further, it shows that a knowledge of students' mathematical thinking is a powerful tool for teacher learning. In addition, it suggests that teacher-researcher and teacher-teacher collaborative activities influence considerably teachers' understanding and practice as such collaborations help teachers understand new ideas of teaching and develop innovative instructional practices.

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Science Teacher Education in Taiwan

  • Lin, Huann-Shyang
    • Journal of The Korean Association For Science Education
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    • v.22 no.5
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    • pp.1071-1081
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    • 2002
  • This article describes the status of science teacher education in Taiwan. The pre-service and in-service science teacher training system, institutes, curricula, programs, and evaluation on the institutes were briefly introduced. The differences before and after the 1996 reform of science teacher training system were compared. Finally, the attempts and efforts that have been done through the channels of research to promote science teachers' professional development were addressed. These efforts include the Case studies of exemplary science teachers' teaching performances, the development of licensure instruments for the certification of science teachers, the use of computers and distance education for supervising student teachers, the exploration of promoting science teachers' understanding about the nature of science, the exploration of promoting science teachers' pedagogical content knowledge, the exploration of promoting science teachers' ability of increasing effective student-teacher and student-student interactions, and the exploration of effective teaching strategies.

What is Learning in the Mathematics Classroom?

  • Patton, Barba Aldis;Hutto, Nora Nelson
    • Research in Mathematical Education
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    • v.14 no.3
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    • pp.309-322
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    • 2010
  • What is learning in the math classroom? Does a new term need to be coined for learning? Is the term over-used and it has lost it meaning? The responses of one hundred five teacher-candidates and graduate students were coded using the five levels researcher designed rubric which was modeled after Bloom's Taxonomy for depth of knowledge. The effects of understanding learning include the preparation of lesson plans, classroom instruction, the guiding of student learning, and the professional development of teacher leaders.

Elementary School Teachers' Use of Visual Representations and their Perceptions of the Functions of Visual Representations (초등교사의 시각적 표상 활용 실태 및 시각적 표상의 기능에 대한 인식)

  • Yoon, Hye-Gyoung;Park, Jisun
    • Journal of Korean Elementary Science Education
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    • v.37 no.2
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    • pp.219-231
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    • 2018
  • This study surveyed the elementary school teachers' use of visual representations and their perceptions of the functions of visual representations in the teaching of electricity unit. A total of 110 elementary teachers who have experiences in teaching electricity unit responded to online survey. The result showed firstly that most of the teachers use visual representations in their teaching and it is mostly limited to those presented in textbooks or images that they can get easily from internet search. Secondly, elementary teachers thought that they have high ability in using visual representations and low ability in understanding students' visual presentation ability. Thirdly, visual representations are more often preferred to be used as teacher-centered ways than student-centered ways for motivating students and conceptual understanding. However, in case of scientific inquiry, both teacher-centered and student-centered ways were equally preferred. Lastly, the teachers' perceptions of the functions of visual representations were categorized into 'teaching-instrumental function', 'learning-instrumental function', 'communicative-instrumental function' and 8 subcategories were found. The most frequent function was the 'information delivery function' in the 'teaching-instrumental function' category. Implications for teacher education and further studies were discussed.

The Relationships Between Children's Emotional Competence and Play Behavior (유아의 정서능력과 놀이행동 간의 관계)

  • Lee, Hyo Rim;Ohm, Jung Ae
    • Korean Journal of Child Studies
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    • v.26 no.6
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    • pp.1-15
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    • 2005
  • The purposes of this study were to assess children's emotional competence, to examine whether there was a difference in children's emotional competence according to their gender, and to investigate the relationship between children's emotional competence and their play behavior. The subjects of this study were 104 four-year-old children(56 boys, 48 girls). Collected data were analyzed by frequency, percentage, means, standard deviation and Pearson's correlation. The results were as follows : First, there was meaningful correlation among the emotional competence measured by teacher, the understanding and expression of emotion and the emotional regulation measured by mother. Second, there was difference in children's emotional competence according to gender. Specifically, girls showed better competence in the socio-behavioral emotional competence and the understanding and expression of emotion than boys. Third, the dramatic play and the group play had some meaningful correlation with the emotional competence measured by teacher and the understanding and expression of emotion measured by mother.

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