• Title/Summary/Keyword: Subject matter content knowledge

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Teaching Definitions without Definitions: How Can Preservice Teachers Teach Differently? (정의 없이 정의 가르치기: 예비교사는 어떻게 자신이 배웠던 방식과 다르게 가르칠 수 있는가?)

  • Lee, Ji Hyun
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.311-331
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    • 2014
  • For preservice teachers' instrumental-to-relational pedagogical content knowledge transformations, this research designed several didactical tasks based on Kinach's cognitive strategies. The researcher identified preservice teachers' understanding about what is a definition and how to teach it. By challenging their fixed ideas about definitions, the researcher could motivate them to embrace the new teaching approach which guides reinvention of definitions. The PCK development was not the simple process of filling their tabular rasa PCK with theories of mathematics education, but the dialectical process of identifying, challenging, changing and extending preservice teachers' existent PCK. This research will contribute to explore new directions of mathematics teachers' PCK development and the method of teacher education.

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A Study on the Development of Pedagogical Content Knowledge on Fraction in the Elementary School Mathematics (초등수학에서 분수에 관한 교수학적 내용 지식 개발 연구)

  • Lee, Dae-Hyun
    • Journal of the Korean School Mathematics Society
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    • v.10 no.2
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    • pp.149-171
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    • 2007
  • This study is aimed at development of pedagogical content knowledge on fraction in the elementary school mathematics. Elementary students regard fraction as the difficult topic in school mathematics. Furthermore, fraction is the fundamentally important concept in studying mathematics. So it is important to develop the pedagogical content knowledge on fraction. The reason of attention to the pedagogical content knowledge is that improving the quality of teaching is the central focus of a high quality mathematics education. Shulman suggested that various knowledges are required for teacher to improve their classes. Of course, pedagogical content knowledge is the most valuable in teaching mathematics. Pedagogical content knowledge is related to the promotion of students' understanding about the learning. Pedagogical content knowledges are categorized by five factors in this study. These are understanding about curriculum, understanding about students and students' knowledge, understanding about teachers and teachers' knowledge, understanding about the methods, contents, and management of class, and understanding about methods of assessments. I develop the pedagogical content knowledge on fraction according to the these categories. I concentrate on the two types of pedagogical content knowledges in developing. That is, I present knowledges which teachers have to know for teaching fraction effectively and materials which teachers can use during the teaching fraction. Pedagogical content knowledges guarantee teachers as the professionalists. Teachers should not teach only content knowledges but teach various knowledges including the meta-knowledges which have relation to fraction.

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Exploration of academic problem between self and subject matter among secondary pre-service teachers in mathematics (중등 수학과 예비교사의 학업 문제에 관한 탐구)

  • Jun, Young-Cook;Kang, Yoon-Soo
    • Journal of the Korean School Mathematics Society
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    • v.8 no.4
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    • pp.509-523
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    • 2005
  • This study empirically examines motivations of entering college of education and academic problems that pre-service teachers encounter under the curricular activities. We analyze the phenomena of professional development under the four categories: motivation toward entering college of education, pedagogical content knowledge, subject matter knowledge and future vision. We conducted survey for the S university students first and interviewed 3 selected participants. Almost 50 students from college of education participated answering to the surveys. Using SPSS package, there was no significant difference between freshmen, sophomore and junior students in any category Male students responded more positively than female students in all the categories. To explore survey results deeply, we selected 3 students from sophomore and junior levels and 2 extra senior students to conduct interviews. The interpretation of the data described how their academic problems unfold partly because they seek another major and how their professional development take place carrying out practicum activities. Most of the interviewees felt that their academic lives were affected motivations of entering college of education and difficulties of studying subject matter knowledge. At the end, several suggestions are added for future research.

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Domestic Research Trends of Teacher Knowledge in Mathematics (수학과 교사지식에 관한 국내 연구의 동향 분석)

  • Song, KeunYoung;Pang, JeongSuk
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.265-287
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    • 2013
  • The purpose of this study was to analyze the trends of domestic research on teacher knowledge in mathematics in terms of its conceptualizations of teacher knowledge, topics, methods, subjects, and content domains. For this purpose, the papers published in 9 professional journals during the recent 14 years (1999-2012) were analyzed by 5 criteria. The results of this study showed that the concept of PCK was the most frequent, whereas its subcategories appeared in different forms. The most frequent research topic was survey of teacher knowledge. The qualitative research methodology was more frequently used than the quantitative methodology, whereas mixed one was hardly used. The subjects for research included a little more elementary school teachers than secondary counterparts, but did similarly both pre-service and in-service teachers. Whereas both the research on number and operations in elementary mathematics education and the research on function in secondary were active, the rest of content domains were not. On the basis of these results, this paper provides several implications for future research direction in teacher knowledge in mathematics.

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An Analysis on the Pedagogical Content Knowledge of Natural number Concepts for Korean Elementary School Teachers (초등 교사의 자연수 개념에 대한 교수학적 내용지식 분석)

  • Lee, Myeong-Hui;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.25 no.4
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    • pp.693-734
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    • 2011
  • The purpose of this research is to analyze the pedagogical content knowledge on the natural number concepts of Korean Elementary School Teachers. Shulman(1986b) had developed a tool in order to understand teachers' knowledge, as he defined three types of knowledge in teaching ; Subject Matter Knowledge, Curricular Knowledge, and Pedagogical Content Knowledge. Pang(2002) defined two types of elements including in the ways of teaching ; individual element, and sociocultural element. Two research questions are addressed; (1) What is the pedagogical content knowledge of Natural number Concepts for Korean Elementary School Teachers? ; (2) What factors are included in the pedagogical content knowledge of Natural number Concepts for Korean Elementary School Teachers? Findings reveal that (1) the Korean Elementary School Teachers had three types of the pedagogical content knowledge on the natural number concepts; (2) Teacher Factors were more included than Social-Cultural Factors in the pedagogical content knowledge on the natural number concepts of the Korean Elementary School Teachers. Further suggestions were made for future researches to include (1) a comparative study on teachers between ordinary teachers and those who majored mathematics education in the graduate school. (2) an analysis on the classroom activities about the natural number concepts.

Preservice and Inservice Science Teachers' Perception on the Coherence and Balance of their Teacher Preparation Programs (과학 교사 양성 프로그램의 정합성 및 균형성에 대한 예비 교사 및 현직 교사의 인식)

  • Lee, Ki-Young
    • Journal of Science Education
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    • v.37 no.1
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    • pp.23-39
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    • 2013
  • Science teachers' perception on their preparation program can help in conceptualizing how science teachers could be prepared. Based on this premise, this study aims to investigate preservice and inservice science teachers' perception on their teacher preparation programs with a focus on the coherence and balance of program. For this purpose, 20 preservice and 39 inservice science teachers were participated. Selection form and open-ended form questionnaires were developed to survey science teachers' perception on their program. The results of study are as follows: Firstly, participating preservice and inservice science teachers perceived the coherence of their program as moderate. The most and least coherent category of program was 'planning & preparation' and 'professional responsibilities' respectively. Inservice teachers perceived the program less coherent than preservice teachers in all four categories. Secondly, participating preservice and inservice science teachers perceived that practical elements were deficient compare to theoretical elements in light of balance of the program. Lastly, participating preservice and inservice science teachers perceived that current science teacher preparation program was biased to test-driven curriculum, and four domains of the program (subject matter knowledge, pedagogical content knowledge, general pedagogical knowledge, and teaching practicum) need to be more strongly connected to secondary school context. Alternative ways to be more coherent and balanced science teacher preparation program were also discussed based on the research.

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Comparison of Perception on Science Teacher Preparation Courses by Beginner and Experienced Science Teachers (과학교사양성과정에 대한 심층면담을 통한 경력과학교사들과 초임과학교사들의 인식 비교)

  • Kim, Young-Min;Mun, Ji-Seon;Park, Jung-Suk;Lim, Gil-Sun
    • Journal of The Korean Association For Science Education
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    • v.30 no.8
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    • pp.1002-1016
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    • 2010
  • The purpose of this study is to investigate beginner and experienced Korean science teachers' perceptions about the science teacher preparation courses from which they graduated, and to compare them. The study was conducted as a qualitative study using in-depth interviews. For the study, interview questions were developed by the authors based on the questionnaire of 'The IMPPACT project' that was being conducted in America. The interview tool includes questions about their experience of science subject matter content knowledge, science pedagogical content knowledge, and general pedagogical content knowledge in their preparation courses. For the interview, seven beginning science teachers, less than five years of teaching experience, and five experienced science teachers, more than five years of teaching experience, were sampled from secondary schools in Korea. The research results are as follows: First, most of the beginner and experienced science teachers perceived that the teaching methods in the classes of science subject matter were not good model for teaching science in their secondary school, because they were not diverse enough and entailed mostly knowledge transfer just through lecture without teacher-student interaction. Second, most of the beginner science teachers perceived that they were affected positively by the teaching strategies and evaluation methods in the classes for science pedagogical subject matter and they could apply those strategies and methods in their current science teaching. Lastly, most of the beginner and experienced science teachers perceived that general pedagogical subject matter is important and prerequisite for science teaching in their schools, but the courses that they experienced at their university were not appropriate for their current teaching.

An Analysis of Novice Teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons (고등학교 미적분 수업에서 나타나는 초임교사의 교수를 위한 전문화된 수학 내용 지식(SCKT))

  • Koh, Hee Jeong;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.157-185
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    • 2013
  • This study was to investigate novice teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons. The lessons of two novice teachers in Kyunggi Do were observed from July, 2011 to Feb. 2012. All observed lessons were audeotaped and transcribed into word files. Their calculus lessons were analyzed into three kinds of knowledge consisting of SCKT. Their SCKT just copied the contents of the textbook and other additional SCKT were not found for teaching. Even though students asked a question that they did not understand, the teacher just repeated the previous contents that already he used. But this study included possible contents of SCKT within the areas these teachers covered so that teachers in school may use for teaching of Calculus. The novice teacher do not have sufficient experience, the program of the college of education and the contents of the teacher certificate-examination should include multi-dimensional approaches in SCKT to pre-service teachers in order to raise better specialized teachers in mathematics.

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A Study of Teachers' Pedagogical Content Knowledge about Area of Plane Figure (평면도형의 넓이 지도에 대한 교사의 PCK 분석)

  • Park, Sun Young;Kang, Wan
    • Journal of Educational Research in Mathematics
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    • v.22 no.4
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    • pp.495-515
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    • 2012
  • This study is to diversely analyze teachers' Pedagogical Content Knowledge (PCK) regarding to the area of plane figures and discuss the consideration for the materialization of the effective class in learning the area of plane figures by identifying the improvements based on problems indicated in PCK. The subjects of inquiry are what the problems with teachers' PCK regarding to the area of plane figures are and how they can be improved. In which is the first domain of PCK, teachers need to fully understand the concept of the area and the properties and classification of the area and length, recognized the sequence structure as a subject of guidance and improve the direction which naturally connects the flow of measurement by using random units in guidance of the area. In which is the second domain of PCK, teachers need to establish understanding of the concept for the area and understanding of a formula as a subject matter object and improve the activity, discovery and research oriented class for students as a guidance method by escaping from teacher oriented expository class and calculation oriented repetitive learning. They also need to avoid the biased evaluation of using a formula and evenly evaluate whether students understand the concept of the area as a performance evaluation method. In which is the third domain of PCK, teachers need to fully understand the concept of the area rather than explanation oriented correction and fundamentally teach students about errors by suggesting the activity to explore the properties of the area and length. They also need to plan a method to reflect student's affective aspects besides a compliment and encouragement and apply this method to the class. In which is the fourth domain of PCK, teachers need to increase the use of random units by having an independent consciousness about textbooks and supplementing the activity of textbooks and restructure textbooks by suggesting problematic situations in a real life and teaching the sequence structure. Also, class groups will need to be divided into an entire group, individual group, partner group and normal group.

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Interpretation of Teacher Knowledge in Geometry with Shulman - Fischbein Framework: Cases of US Preservice Teachers (Shulman-Fischbein 개념틀을 활용한 예비 교사의 기하 영역에 대한 지식 해석 : 미국 예비교사들의 사례)

  • Kim, Ji Sun
    • Journal of the Korean School Mathematics Society
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    • v.21 no.2
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    • pp.113-139
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    • 2018
  • There is no doubt about the importance of teacher knowledge for good teaching. Many researches attempted to conceptualize elements and features of teacher knowledge for teaching in a quantitative way. Unlike existing researches, this article suggests an interpretation of preservice teacher knowledge in the field of geometry using the Shulman - Fischbein framework in a qualitative way. Seven female preservice teachers voluntarily participated in this research and they performed a series of written tasks that asked their subject matter knowledge (SMK) and pedagogical content knowledge (PCK). Their responses were analyzed according to mathematical algorithmic -, formal -, and intuitive - SMK and PCK. The interpretation revealed that preservice teachers had overally strong SMK, their deeply rooted SMK did not change, their SMK affected their PCK, they had appropriate PCK with regard to knowledge of student, and they tended to less focus on mathematical intuitive - PCK when they considered instructional strategies. The understanding of preservice teachers' knowledge throughout the analysis using Shulman-Fischbein framework will be able to help design teacher preparation programs.