• 제목/요약/키워드: the teaching of function

검색결과 430건 처리시간 0.023초

소크라테스 방법의 의의와 실천 - 복소지수함수의 교수.학습에의 적용 - (Meaning and Realization of the Socratic Method - Application to Teaching-Learning of Complex Natural Exponential Function -)

  • 김성아;정문자
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권4호
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    • pp.423-436
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    • 2010
  • In this paper we discuss the Socratic method from the aspects of subject education and examine the meaning of the method in mathematics education that is the most suitable subject for the realization of the Socratic method. In addition, as a realization of the Socratic method, we conducted a teaching-learning experiment of complex natural exponential function with a 2nd year college student. The results of the experiment are analyzed with the intention of improving instruction of the complex analysis that is one of the college mathematics courses.

Mathview를 도구로한 고등학교 함수 단원 구성 (Mathematics Curriculum with Computer Algebra System: The Development of the Function Curriculum Using 'Mathview' in the 10th Grade Mathematics)

  • 류희찬;지현희;조민식
    • 대한수학교육학회지:학교수학
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    • 제2권1호
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    • pp.183-202
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    • 2000
  • The purpose of this study is to restructure the 10th grade mathematics curriculum for teaching the function area under the computer environment using ‘Mathview’, which is a computer algebra system designed for exploring algebra dynamically. The instructional sequence of the function area was redesigned to highlight the functions and properties of the computer software. And, based on the newly designed sequence, this study develops the sample ‘teaching unit’ using Mathview. The basic principle of the materials is to encourage students to investigate mathematics by manipulate various experimental tasks by themselves or through group study. And, the draft of the sequence and teaching unit was reviewed by some mathematics teachers and revised through the feedback.

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汉字教学法研究 - 以声符和同声符字的定量分析为依据

  • 풍동설;강혜근;장용
    • 중국학논총
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    • 제64호
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    • pp.53-73
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    • 2019
  • In the teaching of Chinese characters, making full use of the phonetic function of phonetic symbols can help learners improve their learning efficiency. The research on the characteristics of phonetic symbols and the rules of their construction is the premise of teaching Chinese characters with phonetic symbols. The phonetic symbols that can accurately prompt the pronunciation of the whole word and the homophone characters that they constitute provide the applicable materials for the teaching of Chinese characters. The split method simply and intuitively reflects the internal relationship among shape, sound and meaning in pictophonetic characters. "The analogy method of homophonic character group" and "the converse method of homophonic character group" are the combination of the function of the sound prompt and the characteristics of the analogy and induction of homophonic character, which can not only help students save the time of memorizing the sound, but also effectively increase the amount of literacy. The quantitative analysis of phonetic symbols and homophone symbols is of great significance to the classification of Chinese characters and the improvement of textbook editing.

함수 단원의 수학적 모델링 자료를 활용한 수업이 학생들의 학습능력 향상에 미치는 영향 (Impact on improve Student's learning ability in instruction using mathematical modeling teaching materials of function units)

  • 안종수
    • 한국학교수학회논문집
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    • 제15권4호
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    • pp.747-770
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    • 2012
  • 본 연구에서는 수학교과서 중 함수 단원을 중심으로 수학적 모델링 지도 자료를 개발하고, 이에 알맞은 교수 학습 모형을 정립한다. 그리고 개발한 수학적 모델링 지도 자료를 활용한 수업이 고등학생의 학업성취도, 수학교과에 대한 학습태도와 불안도에 어떠한 영향을 미치는지를 알아보는데 그 목적이 있다. 본 연구의 연구문제는 다음과 같다. 첫째, 수학 모델링 자료를 사용한 수업집단과 전통적인 교과서 중심 수업을 한 수업집단 사이에 학업성취도에 있어 차이가 있는가? 둘째, 수학 모델링 자료를 사용한 수업집단과 전통적인 교과서 중심수업을 한 수업집단 사이에 수학교과에 대한 학습태도와 불안도 에 어떠한 영향을 미치는지를 알아보는 것이다. 셋째, 수학적 모델링 자료를 사용한 수업에 대한 학생들의 반응은 어떠한 가이다.

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계획된 수술전 교육이 수술후 회복에 미치는 영향에 관한 임상실험적 연구 (An Experimental Study on the Effects of Structured Preoperative Teaching on Postoperative Recovery)

  • 김명숙
    • 대한간호학회지
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    • 제14권2호
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    • pp.38-46
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    • 1984
  • The purpose of this study was to test the effect of the structured preoperative teaching on post-operative recovery and to observe the effects of an structured preoperative teaching on the adult surgical patient's ventilatory function ability, the length of hospital stay, the number of analgesics within a 72 hour postoperative period, the length of early ambulation. The research question investigated in this study was: What would be the effects of a structured preoperative teaching upon the adult surgical patients postoperative recovery? This study was based on a sample of 40 patients who were scheduled for abdominal surgery. They were asssigned alternately to experimental and control group. Among 40 subjects, 20 were placed in the experimental group and 20 in the control group. Preoperative ventilation function testing of control and experimental subjects was done the evening before surgery and before the patient received the structured preoperative teaching. A structured preoperative teaching was given to the subjects in the exporimental group only by writer. Postoperative testing was done the 5th postoperative day. The data were collected over a period of two months, from Aug. 8 to Oct. 31, 1983. For the analysis of the data and test for the hypotheses, the t-test with mean difference was used. The results of this study regarding the four-hypotheses were as follows: 1. Experimental group which received structured preoperative eaching will have more increase to-cough and deep breathe as measured byhis forced vital capacity(FVC), forced expiratory volume 1 (FEV1), maximal voluntary volume 15 (MVV 15) than control group without structured preoperative teaching. The ventilation function ability was more increase in experimental group than in control group, the mean difference was statistically significant at 0.01 level. Hypotheses 1 was supported. 2. Experimental group with structured preoperative teaching will have more reduced the length of hospital stay than control group without structured preoperative teaching. The length of hospital stay of the experimental group and control group were 11.90 days and 16.05 days respectively. However, the difference was. not statistically significant at .05 level. Therefore the hypothese 2 was not supported. 3. Experimental group with structured preoperative teaching will have more reduce the number of analgesics within a 72 hour postoperative period than control group. The number of analgesics within a 72 hour' postoperative period of experimental group and control group were 1.65 times and 2.4 times. The difference was not statically significant at .05 level. Therefore, the hypotheses 3 was not supported. 4. Experimental group with structured preoperative. teaching will have more reduce the length of early ambulation than control group without structured preoperative teaching. The length of early ambulation of experimental group and control group were 2.2 days and 3.5 days respectively The difference was statistically signficant at 0.05 level. Thus the hypothess 4 was supported.

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Understanding of Teaching Strategies on Quadratic Functions in Chinese Mathematics Classrooms

  • Huang, Xingfeng;Li, Shiqi;An, Shuhua
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제16권3호
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    • pp.177-194
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    • 2012
  • What strategies are used to help students understand quadratic functions in mathematics classroom? In specific, how does Chinese teacher highlight a connection between algebraic representation and graphic representation? From October to November 2009, an experienced teacher classroom was observed. It was found that when students started learning a new type of quadratic function in lessons, the teacher used two different teaching strategies for their learning: (1) Eliciting students to plot the graphs of quadratic functions with pointwise approaches, and then construct the function image in their minds with global approaches; and (2) Presenting a specific mathematical problem, or introducing conception to elicit students to conjecture, and then encouraging them to verify it with appoint approaches.

덩어리 추론을 하는 학생의 시간-거리함수에서 시간-속력함수 구성에 대한 연구 (A construction of a time-speed function in the time-distance function of students with chunky reasoning)

  • 이동근
    • 한국수학교육학회지시리즈A:수학교육
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    • 제62권4호
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    • pp.473-490
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    • 2023
  • 국내외 선행연구들에서는 교수실험을 통하여 학생들의 연속적인 변화에 대한 추론 방식에 대한 정보를 축적해가고 있다. 이들 연구에서는 연속적인 변화를 매끄러운 추론과 덩어리 추론을 하는 학생들이 교수실험에서 함께 수학적 결과물을 구성해가는 장면들을 다루고 있는데, 이들의 결과를 보다 세밀하게 분석하기 위해서는 특정 방식으로 연속적인 변화를 추론하는 학생이 이전 선행 연구들에서의 과제들에 대하여 어떠한 결과물을 구성해가는지 확인할 필요가 있다. 이러한 연구의 필요에 따라, 연구자는 덩어리 추론을 하는 것으로 확인된 고등학교 1학년 학생 한 명을 대상으로 총 14차시의 교수실험을 진행하였다. 본 연구에서는 덩어리 추론을 하는 학생이 '이전 선행연구에서 연속적인 변화에 대한 추론 방식이 다양한 학생들이 구성하였던 수학적 결과물'과 유사한 산출물을 구성해가는 장면을 관찰할 수 있었다. 특히 본 연구에 참여한 학생에게서 '시간-거리함수에서 시간-속력함수를 구성하는 일관된 구성 방식'이 관찰되었으며, 이러한 학생의 독특한 구성 방식에 대한 정보가 후속 연구에 도움이 될 것이라 기대하였다.

증명이 어떻게 내러티브가 될 수 있는가? -함수의 평행이동에 대한 사례연구- (How Could a Proof Be Constructed into a Narrative? Focused on Function Translations)

  • 이지현;이기돈;이규희;김건욱;최영기
    • 대한수학교육학회지:학교수학
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    • 제14권3호
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    • pp.297-313
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    • 2012
  • 학생들에게 증명을 보다 이해하기 쉽게 전개하는 대안으로, 내러티브의 잠재력과 그 효과를 함수의 평행 이동이라는 사례에서 논의한다. 내러티브의 구성 요소를 고려하여, 평행 이동한 함수의 식을 유도하는 증명을 내러티브로 구성하였다. 두 집단의 학생들에게 내러티브와 형식적 증명을 각각 제시하고, 내러티브가 증명을 제시하는 것보다 함수의 평행 이동에 대한 도구적 및 관계적 이해라는 측면에서 유의미한 효과가 있는지를 살펴보았다. 실험집단과 비교집단에서 사후 도구적 및 관계적 이해 검사 결과의 차이가 통계적으로 유의하지는 않았으므로, 내러티브로 제시하는 것이 증명을 제시하는 것보다 함수의 평행 이동에 대한 도구적 및 관계적 이해의 측면에서 더 효과적이라는 결론을 내릴 수는 없었다. 그러나 학생들의 관계적 이해 반응과 수업 평가에 대한 질적 분석에서는 비교집단과 실험 집단사이에서 몇 가지 다른 양상을 발견할 수 있었으며, 형식적 증명을 보완할 수 있는 내러티브의 가능성을 찾아볼 수 있었다.

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우리 나라 제 7 차 수학과 교육과정의 7-가 단계 내용 중 함수 부분에 관한 비판적 고찰 (A Critical Contemplation on the Contents of Function in 7-first Stage of the 7th Mathematics Curriculum in Korea)

  • 박교식
    • 대한수학교육학회지:학교수학
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    • 제1권2호
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    • pp.401-415
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    • 1999
  • In this paper, 'relations of proportion are used in the introduction of function concept' in 7-first stage of 7th mathematics curriculum is focused. Under the assumption that above statement means dependence-centered view in the teaching of function, the contents of function In 7-first stage is interpreted. Some issues are critically contemplated, And, finally, statement of using relations of proportion in the introduction of function concept is interpreted as dependence-centered view in the teaching of function. Conclusions are as follows: (1) symbol y= f(x) is not inevitable. (2) Term 'codomain' must not be used. (3) Term 'range of x' and 'range of y' must be used. (4) Term 'independent variable' and 'dependent variable' must be used.

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A Force/Moment Direction Sensor and Its Application in Intuitive Robot Teaching Task

  • Park, Myoung-Hwan;Kim, Sung-Joo
    • Transactions on Control, Automation and Systems Engineering
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    • 제3권4호
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    • pp.236-241
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    • 2001
  • Teach pendant is the most widely used means of robot teaching at present. Despite the difficulties of using the motion command buttons on the teach pendant, it is an economical, robust, and effective device for robot teaching task. This paper presents the development of a force/moment direction sensor named COSMO that can improve the teach pendant based robot teaching. Robot teaching experiment of a six axis commercial robot using the sensor is described where operator holds the sensor with a hand, and move the robot by pushing, pulling, and twisting the sensor in the direction of the desired motion. No prior knowledge of the coordinate system is required. The function of the COSMO sensor is to detect the presence f force and moment along the principal axes of the sensor coordinate system. The transducer used in the sensor is micro-switch, and this intuitive robot teaching can be implemented at a very low cost.

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