• Title/Summary/Keyword: the teaching of function

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A Study on the Teaching of 'Function' utilizing the Graph Art - Case study focusing on the activities of Ulsan WISE Science Camp - (Graph Art를 활용한 함수 지도에 관한 연구 - 울산 WISE 과학캠프활동을 중심으로 한 사례연구 -)

  • Chung, Young-Woo;Kim, Boo-Yoon
    • The Mathematical Education
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    • v.51 no.3
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    • pp.197-210
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    • 2012
  • In this study, we will develop and implement the teaching program of 'Function', on the subject of "Poster-Making utilizing the Graph Art" in the Math Camp for middle-school students. And we will examine the didactical significance through student's activities and products. The teaching program of 'Function' utilizing the Graph Art can be promoted self-directly the understanding of 'Function' concept and the ability for handling 'Function'. In the process of drawing up the graph art, in particular, this program help students to promote the ability for problem-solving and mathematical thinking, and to communicate mathematically and attain the his own level. Ultimately, this program have a positive influence upon cognitive and affective and areas with regard to mathematics.

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.

Middle school English textbook evaluation on the basis of the expressive language function analysis (표현기능 지도내용 분석을 통한 현행 중학교 영어교과서 평가)

  • Chang, Bok-Myung
    • English Language & Literature Teaching
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    • no.5
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    • pp.123-147
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    • 1999
  • English textbooks play essential roles in the whole English education context, the analytic study on English textbooks is very important in English education tasks. The purpose of this study is to analyze the expressive functions in the middle school English textbooks on the basis of the 6th national curriculum characteristics and the textbook analysis theories. The results of the expressive language function analysis are as follow: the teaching contents designed for the expressive language functions are not varied, but concentrated on the specific teaching types, and the teaching contents for the expressive language functions are not graded according to the students' development principles stated clearly in the 6th curriculum. The results of the English textbook analysis on the basis of the expressive language function analysis show that the 6th curriculum has some problems in itself and the middle school textbooks do not conform to the 6th curriculum principles. Therefore we need to improve the teaching contents for language functions by means of developing various types of teaching language functions.

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Elementary Children's Mental Functioning and Internalization in Social Constructivist Teaching with Dialogic Inquiry about Strata and Fossils (대화적 탐구를 적용한 '지층과 화석' 단원 수업에서 초등학생들의 심리기능 형성 및 내면화 과정)

  • Lee, Younjin;Maeng, Seungho
    • Journal of Korean Elementary Science Education
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    • v.37 no.4
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    • pp.416-429
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    • 2018
  • In social constructivist teaching, knowledge construction is achieved through learners' collective social interaction. Vygotsky argued that this process is mediated with language use, and the development of higher order thinking is realized through the transition from inter-personal psychological functions to intra-personal psychological functions. In so doing scientific concepts are internalized to learners. This study examined the third grade elementary students' inter/intra-personal psychological functions and their internalization processes during social constructivist teaching plan about strata and fossils. The lessons were designed along with Wells' dialogic inquiry and Leach and Scott's social constructivist teaching-learning sequences. Results showed that a teacher's utterances of talking with questioning to switch attention, creating cognitive disequilibrium, and expanding the width of students' opinions could make effective inter-personal psychological function. In addition, a learner's inner speech expressed into social discourse through talking about personal experiences, comparing epistemic idea with visual representation, or applying to different situation showed his/her intra-personal psychological function. Some cases of learners' internalization through language use could be at the stage of knowledge building and understanding of the spiral of knowing, but not all. Thus it is argued that a teacher's deeper insight into Vygotskian social constructivist teaching can make elementary science classroom teaching more effective in their inter/intra-psychological functions.

Analysis of Misunderstood Types Relate to Trigonometric Function and Its Teaching Method (삼각함수에 관한 오류 유형 분석과 그 지도 방법)

  • 강윤수;박수정
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.101-113
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    • 2003
  • The purpose of this study is to analyze students misunderstood types relate to trigonometric function and to devise its teaching method using GSP. To do this, we performed several steps as followings: First, we performed questionnaire survey to 70 students belong to second year at high school to find students comprehension degree about radian angle representation and trigonometric function graph. Second, we devised the teaching-learning materials relate to trigonometric function graph using GSP. And then, we used them in the class of 35 students who are at the time to learn trigonometric function in the first year at high school. Third, we conducted Questionnaire survey to students studied through teaching and learning materials using GSP. As a result of doing the survey, we found that general students were interested in the class using GSP and they could also operate computer without difficulty.

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An Inquiry on the Building Process of Pedagogical Content Knowledge of Prospective Mathematics Teachers -centered at function concepts- (수학과예비교사들의 교수학적지식 형성 과정 탐구 -함수 개념을 중심으로-)

  • Kang Yun-Soo;Jun Sung-A
    • The Mathematical Education
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    • v.45 no.2 s.113
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    • pp.217-230
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    • 2006
  • The purpose of this study is to inquire the building process of Pedagogical Content Knowledge of prospective mathematics teachers about the function concepts. For this purpose, We performed the following steps; First, we performed the survey relaying to the prospective mathematics teachers' teaching experiences, capabilities of their error evaluation of the students, and viewpoints about the function concepts. Second, we performed the survey on the subject-matter knowledge about the function concepts and the key items of designing teaching plans about the function concepts. And then, we interviewed the participants to check the results of the surveys and to supplement the necessary contents. The collected data was relatively correlative and analyzed in the process. As a result, we found the followings; First, subject-matter knowledge of prospective mathematics teachers about the function concepts is different depending on the grades. Second, prospective mathematics teachers are building more extended function concepts through the major subjects. Third, the major subjects are important to build the Pedagogical Content Knowledge of function concepts. Fourth, teaching experience plays an important role in transforming subject-matter knowledge of function concepts to Pedagogical Content Knowledge of it. Fifth, building the Pedagogical Content Knowledge means transferring the teacher's viewpoint from himself/herself to the learner.

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Analysis of the Design Elements for the Children's Picture Books Based on VR

  • Lu, Kai;Cho, Dong Min
    • Journal of Korea Multimedia Society
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    • v.24 no.7
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    • pp.953-965
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    • 2021
  • The research of combining virtual reality technology with the design elements of children's picture book education is a relatively new topic in virtual reality technology in recent years. Based on the combination of picture book design elements with virtual reality technology and the development of a children's picture book teaching game, this article analyzes the effectiveness of the application of virtual reality technology in children's teaching, and explores the usability of picture book design elements in teaching [1]. Through literature research methods, practical research methods and investigation research methods, this paper lucubrates the application of virtual reality technology in the design elements of children's picture book education so as to provide adequate theoretical and practical support for the research theme. The spatial positioning, vision, sound, and functional requirements of children's picture book games play a leading role in teaching. Practical statistics have proved that it is easier to promote children's mastery of teaching knowledge in a virtual environment. Moreover, use VR's game management function and setting function to solve the boringness of traditional education methods and the limitations of the teaching environment. The feasibility of game operation provides a virtual teaching platform system for children's education, and the teaching effect is remarkable.

The Effect on Forming Functional Concept by Teaching Function Based on Variable (변수에 의한 함수 지도가 함수개념의 형성에 미치는 효과)

  • 이덕호;길영순
    • Journal of the Korean School Mathematics Society
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    • v.4 no.1
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    • pp.103-114
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    • 2001
  • The purpose of this study is to develop learning materials for functional concept on variable and to verify the effect of how well students could learn functional concept after they studied with those materials. To accomplish the purpose of this study, I developed learning materials and after teaching students with them. I have concluded the followings : First, there was little effect in teaching functional concept on variable between two experimental groups, whereas teaching functional concept had greater effect on forming functional concept in high level groups in those two experimental groups. Second, teaching functional concept on variable had little effect on students' understanding of functional concept and perfecting tables in Black box, graph, and mathematical problems, whereas there was much effect in students' understanding functional concept and solving relation formula, image, and range problems related to everyday life or general things. On the basis of the problems which appeared in the process of this study, the following can be suggested : First, we should develop learning materials fit for low level students so that they could understand functional concept. Second, we should continue to teach the basic problems like solving relation formula, image, and range, and understanding functional concept in graph until students are able to understand them exactly. Third, since the goals of Unit Function in a middle school textbook is to solve problems related to everyday life through functional thinking, there should be change in constructing systematic contents of Unit Function in a middle school textbook.

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The Specified Reference Model for Supporting a Teaching&Learning Function of the e-Learning System (e-러닝 시스템의 교수-학습 기능 지원을 위한 명세화된 참조 모델)

  • Lee, Woo-Beom
    • Journal of the Institute of Convergence Signal Processing
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    • v.10 no.1
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    • pp.23-31
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    • 2009
  • Supporting of the user-wanted teaching&learning functions is an important factor to improve the learning effects in a e-learning system. However, most methods are not enough to refer a model for supporting a teaching&learning function in a planning, development, operation, and evaluation. Accordingly, we propose the specified reference model for supporting a teaching&learning function in the web-based e-learning system. To verify the validity of the proposed system, we consulted the students experienced in e-learning system. As a results, The proposed specified reference model can be expected more $11%{\sim}23%$ effectiveness improvement than that of their experienced in the previous system. Also, as the pre-evaluated results using the teaching&learning services supporting degree by the proposed reference model, those measurements are very similar to the services requirement degree of their experienced in e-learning system.

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A Study on the Development of Computer Assisted Instruction for the Middle School Mathematics Education - Focused on the graph of quadratic function - (중학교 수학과 CAI 프로그램 개발 연구 -이차함수의 그래프를 중심으로-)

  • 장세민
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.151-163
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    • 1998
  • In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws, acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, character and movement state of various quadratic function graph types can be used. Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Then, students understand the mathematical concepts and the correct quadratic function graph correctly. Consquently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the quadratic function graph", which exists in mathematical curriculum the middle school. When this program is used for students, it is expected the following educational effect. 1, Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 2. This program will cause students to form the mathematical concepts correctly. 3. By visualizing the process of drawing the quadratic function graph, students understand the quadratic function graph structually. 4. Through the feedback, the recognition ability of the trigonometric function can be improved. 5. It is possible to change the teacher-centered instruction into the student-centered instruction. For the purpose of increasing the efficiencies and qualities of mathmatics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, tearchers have to use the CIA program carefully.

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