• Title/Summary/Keyword: mathematics classroom culture

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Mathematics teacher learning and professional development in communities (수학 교사 학습과 전문성 신장에 관한 소고)

  • 방정숙
    • Journal of Educational Research in Mathematics
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    • v.13 no.2
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    • pp.143-157
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    • 2003
  • This paper is to make strides toward an enriched understanding of mathematics teacher learning and professional development. Different theoretical frameworks in understanding mathematics teacher learning are reviewed, followed by a discussion of the relationships of knowledge and teaching practice. This paper then analyses contemporary conceptions about effective professional development and, in particular, deals with teacher learning in inquiry communities. This paper introduces a research project describing transition processes from teacher- centered mathematics classroom culture to student-centered culture and analyzing teacher learning in communities and its concomitant change in teaching practice. On the basis of the emerging problems in doing the project, this paper finally addresses some crucial issues on teacher learning and professional development, including the management of an inquiry community, the description of teaching practice from the researcher's perspective, and the analysis of teacher learning in communities.

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A Study on the Factors Influencing Mathematics Teachers' Instruction (수학교사의 교수방법에 영향을 미치는 요소에 관한 소고)

  • 방정숙
    • The Mathematical Education
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    • v.41 no.3
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    • pp.257-271
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    • 2002
  • As a part of attempts to understand better mathematics classroom culture, this paper first reviews plausible factors which influence the mathematics teacher's own development of instructional goals. The proposed factors consist of teacher characteristics and sociocultural factors. The teacher factors include learning and teaching experience, knowledge, beliefs, and personality traits. The sociocultural factors include cultural and educational norms, curriculum development and administration, teacher education, and professional models with community, This paper then presents detailed interview questions to explore significant influences on the teacher's conceptions of mathematics and its teaching. The interview probes 12 topic areas: (a) early influences on becoming a teacher, (b) the decision to become a teacher, (c) the teacher education years, (d) early mathematics interests, (e) early teaching experiences, (f) career path, (g) influence of peers within the school, (h) influence of administrators, (i) professional development, (j) professional self-development, (k) mathematics teaching, and (i) educational policies.

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The 'Two Basics' Mathematics Teaching Approach and the Open Ended Problem Solving in China

  • Zhang, Dianzhou;Dai, Zaiping
    • Research in Mathematical Education
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    • v.8 no.3
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    • pp.123-144
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    • 2004
  • There is a tradition of advocating the 'two basics' (basic knowledge and basic skills) in Chinese mathematics education. The direct consequence is that Chinese students are able to produce excellent performance in the international mathematics examinations and outstanding results in the international mathematics competitions. In this article, we will present why and how Chinese teachers teach the 'two basics,' and how combine the pupil's creativity with their 'two basics.' Open ended problem solving is a way to meet the goal. The following topics will be concerned: Culture background; the speed of computation; 'make perfect' ; Efficiency in classroom; Balance between 'two basics' and personal development. In Particular, Chinese mathematics educators pay more attentions to the link between open ended problem solving and the 'two basics' principal.

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A Case Study of Teacher's Role in Inquiry-Oriented Mathematics Instruction: Centered on Science High School Students (탐구-중심 수학 수업에서 교사의 역할에 관한 사례연구: 과학고등학교 학생들을 중심으로)

  • Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.177-199
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    • 2008
  • In the Netherlands, Streefland(Elbers, 2003) gave a solution on how teachers can help students to participate in the process of knowledge construction by investigating constructions and activities of a community of inquiry for a primary school students(between 11 and 13 years of age). In Australia, Goos(2004) analyzed the teacher's role in creating a classroom culture of inquiry, which appeared to be taken for granted by the Grade 12 group, for the Grade 11 students by classroom observation and interviews. In Korea, because of diverse obstacles with a university entrance examination, a study about teacher's role in inquiry-oriented instruction for high school mathematics schooling has rarely appeared in the literature. The purpose of this study is to investigate teacher's role for promoting and managing inquiry-oriented mathematics instruction effectively by a case study. To fulfill this purpose, we develop inquiry-oriented instruction model by investigating teacher's role as an assistant for helping students to do mathematical activity.

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The Analysis on the Results of Mathematics Field Trips for Pre-service Mathematics Teacher (예비교사를 위한 수학답사활동 수행 결과 분석)

  • Suh, Bo Euk
    • Communications of Mathematical Education
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    • v.30 no.2
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    • pp.139-159
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    • 2016
  • This study is the field of mathematics education on the assumption that they can extend outside the classroom. Recent mathematics education is increasing the importance of field experience and various activities based on real-life math education. Thus, it is necessary to consider this situation in pre-service teacher's education. The purpose of this study is to apply the 'Mathematics Field Trips Activities' in the pre-mathematics teacher education. So the specific case of 'Mathematics Field Trips Activities' was analyzed. Mathematics teachers conducted preliminary exploration activities on the historical cultural property which were effective in the following four aspects. First, cognitive effects and second, definitive effect. Third, cultural-mathematical effect. Fourth, the effect on improving math class. Finally they were summarized and divided into classes target content knowledge and teaching knowledge both sides. As a result, the 'Mathematics Field Trips Activities' were found to have significant effects on pre-service math teacher. Finally, ongoing research is needed to settle into a new teaching and learning methods.

An analysis of the educative features of mathematics teacher guidebooks for grades 3 and 4 (초등학교 3~4학년군 수학 교사용 지도서의 교육적 특징 분석)

  • Pang, JeongSuk;Oh, MinYoung;Park, Yejin
    • The Mathematical Education
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    • v.62 no.4
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    • pp.531-549
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    • 2023
  • Despite the significance of mathematics teacher guidebooks as a support for teacher learning, there are few studies that address how elementary mathematics teacher guidebooks support teacher learning. The purpose of this study was to analyze the educative features of elementary mathematics teacher guidebooks for grades 3 and 4. For this, six units from each of ten kinds of teacher guidebooks were analyzed in terms of seven dimensions of Teacher Learning Opportunities in Korean Mathematics Curriculum Materials (TLO-KMath). The results of this study showed that mathematics content knowledge for teaching was richly provided and well organized. Teacher guidebooks provided teacher knowledge to anticipate and understand student errors and misconceptions, but were not enough. Sample dialogues between a teacher and students were offered in the teacher guidebooks, making it easier for teachers to identify the overall lesson flow and key points of classroom discourse. Formative assessment was emphasized in the teacher guidebooks, including lesson-specific student responses and their concomitant feedback examples per main activity. Supplementary activities and worksheets were provided, but it lacked rationales for differentiated instruction in mathematics. Teacher knowledge of manipulative materials and technology use in mathematics was provided only in specific units and was generally insufficient. Teacher knowledge in building a mathematical community was mainly provided in terms of mathematical competency, mathematical classroom culture, and motivation. This paper finally presented implications for improving teacher guidebooks to actively support teacher learning.

A Study on the Questioning in the Elementary Mathematics Textbook (초등 수학교과서의 창의성 신장을 위한 발문)

  • Park, Man-Goo
    • Education of Primary School Mathematics
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    • v.13 no.1
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    • pp.25-35
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    • 2010
  • The purpose of this research was to analyze questioning types of the Korean Elementary Mathematics Textbook in grade 3 and suggest the direction of questioning strategies for enhancing creativity in mathematics lessons. For the research, the researcher analyzed questioning types of the 3rd grade mathematics textbook and the changes of the questions compared with the questions in the previous textbooks. The author suggested the following recommendations. First, the questioning strategies of the revised mathematics textbook tends more to enhance students' creativity than the previous ones did. Second, teachers need to know the students' level of mathematics before starting their mathematics lessons because teachers can provide more effective differentiated questioning to the students. Third, students can response tuned to their level of mathematics if they meet with open-ended questions. It is desirable to develop good open-ended questions to fit students' abilities. Last, teachers should provide opportunities for students to share their own mathematical thinking. In risk-free environment, students can willingly participate at debating over mathematics proofs and refutation. Teachers should make efforts to make the classroom norm or culture free to debate among students, which leads to enhancement of students' creativity or mathematical creativity.

Reconstructing Mathematics Education for Social Justice from a Critical Race Perspective (사회 정의를 위한 수학 교육의 원리와 방법 탐색: 비판적 인종 이론을 중심으로)

  • Kim, Rina
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.3
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    • pp.289-303
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    • 2019
  • The aim of this study was to seek for the purpose of social justice of mathematics education based on the understating of a critical race perspectives. This paper is consisted of two parts. First, I analyzed literatures of mathematics education for social justice in order to understand the discussions and concerns related to the topic. Second, I used the selected tenets of critical race theory to examine mathematics education for social justice scholarship. From the analysis, I concluded the current capacity of mathematics education for social justice toward addressing race issues in a mathematics classroom.

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An Analysis on Argumentation in the Task Context of 'Monty Hall Problem' at a High School Probability Class (고등학교 확률 수업의 '몬티홀 문제' 과제 맥락에서 나타난 논증과정 분석)

  • Lee, Yoon-Kyung;Cho, Cheong-Soo
    • School Mathematics
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    • v.17 no.3
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    • pp.423-446
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    • 2015
  • This study aims to look into the characteristics of argumentation in the task context of 'Monty Hall problem' at a high school probability class. As a result of an analysis of classroom discourses on the argumentation between teachers and second-year students in one upper level class in high school using Toulmin's argument pattern, it was found that it would be important to create a task context and a safe classroom culture in which the students could ask questions and refute them in order to make it an argument-centered discourse community. In addition, through the argumentation of solving complex problems together, the students could be further engaged in the class, and the actual empirical context enriched the understanding of concepts. However, reasoning in argumentation was mostly not a statistical one, but a mathematical one centered around probability problem-solving. Through these results of the study, it was noted that the teachers should help the students actively participate in argumentation through the task context and question, and an understanding of a statistical reasoning of interpreting the context would be necessary in order to induce their thinking and reasoning about probability and statistics.

Prospective Teachers' Perception of Mathematical Modeling in Elementary Class (수학적 모델링 수업에 대한 초등 교사의 인식)

  • Choi, Jisun
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.313-328
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    • 2017
  • This study aims to identify prospective elementary school teachers' perception of mathematical modeling in elementary class. Forty elementary school teachers participated in this study. Each teacher analysed the previous case studies about mathematical modeling in elementary class, developed a hypothetical learning trajectory, applied the hypothetical learning trajectory to his/her class, reflected students' learning and his/her teaching, and made reflective journals. These journals contained teachers' perception of mathematical modeling and the difficulties that teachers experienced in teaching mathematics as mathematical modeling. These journals were analyzed to identify teachers' perception of mathematical modeling in elementary class. This study shows that teachers have common features of mathematical modeling but their perspectives are little bit different, are classified into four kinds. And the difficulties that teachers experienced in teaching mathematics as mathematical modeling are classified into 5 categories; Task, Students' cognitive demand, Teacher' monitering, All students' participation, and Classroom culture. At last, suggestions for mathematical modeling in elementary class are done according to the result of this study.