• Title/Summary/Keyword: mathematical knowledge for teaching

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Reflections in Peer Evaluation: Is the Attended Teacher Training Program the Implemented Training program?

  • Delice, Ali;Sevimli, Eyup;Aydin, Emin
    • Research in Mathematical Education
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    • v.13 no.2
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    • pp.141-150
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    • 2009
  • This study gives opportunity for investigating how student teachers view the teaching profession and how they transfer their pedagogical knowledge into practice. The aim of the study is to investigate the teaching skills student teachers gained in the assessment of micro teaching of their peers. The participants are 30 mathematics student teachers enrolled in the teacher training program in a state university. Document analysis and semi-structured interviews are the research instruments and inferential & descriptive statistics are used for the data analysis. The findings suggest that the qualitative and quantitative peer assessments of student teachers were graded differently which results from the difference of perceptions about teaching and different conceptualizations of the teaching qualifications.

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The Effects of Science Drama Teaching on Pupils' Perceptions about the Nature of Science (과학 연극 수업이 과학 본성에 대한 초등학생의 인식에 미치는 영향)

  • Na Ji Yeon;Jang Byung-Ghi
    • Journal of Korean Elementary Science Education
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    • v.24 no.5
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    • pp.558-570
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    • 2005
  • The importance of teaching the nature of science (NOS) has been always emphasized in science education. However, the NOS is hardly taught in elementary science class. We are lacking in the strategies and materials for teaching NOS. So we designed the science drama teaching, and investigated the effects on pupils' perceptions about NOS. The subjects of this study were 185 third graders from a elementary school. The treatment group was provided with science drama lessons and the control group was provided with traditional lecture-type lessons. Their perceptions about NOS were investigated before/after the science lessons and after 3 months following them, and both of two groups were compared. The pretest results revealed that the pupils of both groups were found to have similar views on NOS. Dey had traditional views of the most items except for social construction of theories, mathematical knowledge and decision-making. After science lessons, they tended to change their views toward modem views, but the pupils of the treatment group showed more modem views than those of the control group on the observation, model, social construction of theories, predictions. After 3 months, the pupils of the control group tended to come back to their traditional views, but those of the treatment group showed tendencies that their changed views were kept up on the observation, scientific model, scientific knowledge, scientific methods, decision-making, social construction of theories, mathematical knowledge. Therefore this study suggests that science drama teaching could be one of the effective ways for teaching NOS.

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A Study on the 2nd Grade Multiplication Units in 2015 revised Elementary Mathematics Textbooks (2015 개정 초등수학 교과서 2학년 곱셈 단원 분석)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.33 no.4
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    • pp.353-380
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    • 2017
  • The purpose of this study is to analyze the multiplication units in the elementary school mathematics. In the 2015 revised curriculum, students learn multiplication in $2^{nd}$ grade. The multiplication units is divided into two: multiplication and multiplication facts. In these two units, we mainly analyze situations involving multiplication, models for teaching multiplication, and multiplication strategies for teaching multiplication facts in relation to Subject Matter Knowledge. We called these contents Multiplication Matter Knowledge. We examined the precedent study with regard to multiplication at the elementary mathematics. As results, we prepared an analysis framework for this study. This study was conducted according to qualitative research methods, expecially 'qualitative contents analysis'. The contents here refer to Multiplication Matter Knowledge that can be found in the elementary mathematics textbooks and working books etc. As results of analysis, We can confirm that various multiplication situations and multiplication models are presented in the textbooks. And it has been examined that various multiplication properties are presented in the textbook according to the multiplication strategy levels. We insist elementary school teachers should be aware of these Multiplication Matter Knowledge. This study aims to provide elementary school teachers with basic data in these contexts.

A Study on the Method of Mathematical Situation Posing (수학적 상황 설정 방법에 관한 연구)

  • 홍성민;김상룡
    • Education of Primary School Mathematics
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    • v.6 no.1
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    • pp.41-54
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    • 2002
  • The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

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An Analysis of Mathematical Communication in Elementary Mathematics (초등수학의 수학적 의사소통에 관한 분석)

  • Ahn, Byoung-Gon
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.161-178
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    • 2011
  • For the students who live in the knowledge-information oriented society, thinking rationally and training mathematical communication ability are necessary. I represented three ways of teaching-learning related to mathematical communication in revised 2006 curriculum of elementary mathematics. In this study, based on three matters from devised curriculum, I have done survey-analysis of mathematical representation and characteristics of contents of major theses about mathematical communication published after 2007 curriculum revision, for further mathematical communication teaching.

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The Effects of Mentoring Experience in STEAM Classes on Pre-service Mathematics Teachers' Teaching Competency for STEAM Education (STEAM 수업에서의 멘토교사 경험이 예비수학교사들의 STEAM 교수 역량에 미치는 효과)

  • Han, Hyesook
    • Communications of Mathematical Education
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    • v.32 no.1
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    • pp.1-22
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    • 2018
  • The purpose of the study was to examine the effects of mentoring experience in STEAM classes on pre-service mathematics teachers' teaching competency for STEAM education. The study was conducted with 23 pre-service mathematics teachers who participated in the mentoring program affiliated with free learning semester system during one semester. To investigate the changes of pre-service mathematics teachers' teaching competencies for STEAM education and the effects of the mentoring program, pre, post questionnaires, lesson journals, and whole group discussion data were collected. According to the results, pre-service mathematics teachers' competencies for 'knowledge of STEAM education', 'subject matter knowledge', 'teaching and learning methods', and 'learning environments and circumstances' categories were improved significantly after the mentoring program. Especially, some results indicated that pre-service mathematics teachers' teaching experiences in real STEAM classrooms were very helpful for the development of understandings of STEAM education and construction of practical knowledge.

A Case Study on J University Teachers College Juniors' Mathematical Knowledge for Teaching on Number and Operations I (J 대학교 교육대학 3학년 학생들의 수와 연산 영역을 가르치는데 필요한 수학적 지식에 대한 사례연구 I)

  • Kim, Hae Gyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.3
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    • pp.491-509
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    • 2012
  • The purpose of this study is to analyze some Korean elementary pre-service teachers' Mathematical Knowledge for Teaching(MKT). For this purpose, we selected the MKT items on number and operations which were adapted for Korean in-service teachers by Lee(2011). The survey consisting of those items was administered to 76 Korean elementary pre-service teachers at Teachers College, J University. The results are the following: First, the respondents, elementary pre-service teachers, showed that the preference for the MKT items was very affirmative, but the percentages of correct answers to the MKT items weren't generally high. Second, the preference for the instructional consultation by experienced teachers was very affirmative. Third, the percentages of correct answers to KCS, SCK, CCK and KCT were 70.13%, 55.71%, 43.87% and 29.27%, respectively. Fourth, the percentages of correct answers to type 5, 6, and 7 were more than 60%, but those of correct answers to type 1, 2, 3, 4, and 8 were less than 60%. This means we need to strengthen type 1, 2, 3, 4, and 8 in education of elementary mathematics subject at Teachers College of J University.

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Utilizing Teacher Noticing within a Representation of an Elementary Engineering Lesson to Support Responsive Teaching in the Classroom

  • Estapa, Anne;Tank, Kristina M.;DuPont, Michael
    • Research in Mathematical Education
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    • v.24 no.3
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    • pp.201-228
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    • 2021
  • Teacher noticing has been termed consequential to teaching because what you see and do not see impacts decisions made within the classroom. Further, how a teacher responds to student thinking depends on what a teacher sees in student thinking. Within this study we sought to understand what teachers noticed within an engineering lesson and the decisions made as a result of that noticing. Findings indicate that student teachers and cooperating teachers drew on their pedagogical knowledge for decisions, rather than taking up the integrated content of student thinking and understanding. These findings serve as a guide for the experiences needed to engage in the complex work of teaching or, more specifically, implementing engineering into instruction through a responsive teaching frame.

A Case Study of Teaching Mathematics for Integrated Essay Education: Instruction of Conic Section using Concrete Materials and Technology (통합형 수리논술 지도 사례 - 구체물과 공학적 도구를 활용한 원뿔곡선 수업 -)

  • Ryu, Hyunah
    • Communications of Mathematical Education
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    • v.27 no.4
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    • pp.567-580
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    • 2013
  • As integrated essay writing is performed in university entrance examinations, teachers and students recognize the importance of integrated essay, but teachers have still difficulties of teaching methods. The purpose of this study is to derive educational implications through case of mathematics instruction for integrated essay education to pre-service mathematics teachers. The content knowledge of this class is a definition of conic section in mathematics and properties of conic section in an antenna reflector. The students have to discover them using the history of math, manipulative material, paper-folding and computer simulation. In this teaching and learning process the students can realize mathematical knowledge invented by humans through history of mathematics. The students can evaluate the validity of that as create and justify a mathematical proposition. Also, the students can explain the relation between them logically and descript cause or basis convincingly in the process of justifying. We should keep our study to instructional materials and teaching methods in integrated essay education.

Teachers' Decision and Enactment of Their Content Knowledge Assessed Through Problem Posing - A U.S. Case (문제 만들기를 통해 알아본 교사의 내용지식 사용에 대한 결정과 수행 - 미국 사례를 중심으로)

  • Noh, Jihwa
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.153-166
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    • 2017
  • 164 preservice elementary teachers' decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed.