• Title/Summary/Keyword: 수학활동

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On Explaining Rational Numbers for Extending the Number system to Real Numbers (실수로의 수 체계 확장을 위한 유리수의 재해석에 대하여)

  • Shin, Bo-Mi
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.285-298
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    • 2008
  • According to the 7th curriculum, irrational numbers should be introduced using infinite decimals in 9th grade. To do so, the relation between rational numbers and decimals should be explained in 8th grade. Preceding studies remarked that middle school students could understand the relation between rational numbers and decimals through the division appropriately. From the point of view with the arithmetic handling activity, I analyzed that the integers and terminating decimals was explained as decimals with repeating 0s or 9s. And, I reviewed the equivalent relations between irrational numbers and non-repeating decimals, rational numbers and repeating decimals. Furthermore, I suggested an alternative method of introducing irrational numbers.

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A Study on the Effect of the Visualization in the Learning of Probability Calculation at a Middle School (중학교 확률계산학습에서 시각화활동의 효과에 대한 연구)

  • 권병주
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.43-53
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    • 1999
  • Two (second-grade) classes of Yu-song middle school were chosen to research the effect of the visualization in the learning of probability calculation at a middle school. One class, as an experiment class, was taught the probability calculation of probability unit by the visualization learning and the other, as a controlled class, was taught it by the traditional lecture, and then through the writing tests there was a verification on the effect of right after test and the delaying test after 3 weeks to examine the learning effect of high- and low-level groups. It was difficult for the students to visualize the problems of the probability calculation, but I suggested simple models to the students and helped them to learn meaningfully. As a result of this study, there showed statistically significant difference in high-level group in the right after test.(P< .05) In the delaying test after 3 weeks, there also showed statistically significant marks only in high-level group.(P< .05) The visualization in the learning of probability calculation took more affirmative effect in the experiment class than the comparative class only in high-level group. The students in low-level group has difficulties in the visualization activities, but all the students in high-and low-level group thought the visualization was a great help to them in learning probability calculation.

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Use of MonteCarlo Simulation for More Effective Teaching of Business Statistics (효과적인 경영통계 교육을 위한 시뮬레이션 활용)

  • 김영일;안철환
    • The Korean Journal of Applied Statistics
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    • v.15 no.1
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    • pp.153-163
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    • 2002
  • There seems to be a little trouble in delivering an effective teaching of statistics at the school of Business. Students attitude toward the understanding of mathematics appears to be one of the hindrances encountered to the wide spread use of statistics. Nevertheless, the usefulness of statistics is notably appreciated these days although students may not be aware of it. It is true that many processes of decision-making are based on various future uncertainties, however, decisions must be made at the present. In this synopsis, we would like to solve simple business problems, thereby, suggest more constructive ways to match the statistics with the interest of management. We, in the mean time, will talk about the understanding of business, method of teaching, and Monte Carlo education.

Effects of Noise Power Uncertainty on Energy Detection for Spectrum Sensing (잡음 전력의 불확실성이 에너지 검파 기반의 스펙트럼 감지에 미치는 영향)

  • Lim, Chang-Heon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.11
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    • pp.22-27
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    • 2011
  • In spectrum sensing, an energy detector compares the energy of a received signal with a predetermined detection threshold and decides whether a primary user is active or not in a licensed frequency band. Here the detection threshold is related to the noise power level in the band. Most previous works on energy detection have assumed that the noise power is exactly known a priori. However, this assumption does not hold in practice since there may be some uncertainty about the noise power. So it is necessary to investigate its effects on the performance of energy detection for spectrum sensing. In this paper, we analyze the effects using the residue theorem for contour integral and present the associated numerical results.

Determination of Optimum pH of Enzyme by Electrochemical Method (전기화학적 방법에 의한 효소의 최적 pH 결정)

  • Yoon, Kil-Joong;Lee, Beom-Gyu;Kwon, Hyo-Shik
    • Analytical Science and Technology
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    • v.13 no.1
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    • pp.41-48
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    • 2000
  • A biosensor for the determination of hydrogen peroxide was constructed by immobilizing of porcine small instestinal tissue in a plain carbon paste, and the effect of varying the $H_2O_2$ concentration and pH on the rate of catalytic reaction was evaluated. For the mathematical simplicity, no mediator was added. Electrochemical properties and the maximal rate could be derived from the quantitative analysis of the observed phenomena related to the electrode reaction. Also, pH dependence of the Michaelis constant enabled to calculate various thermodynamic parameters and subsequently to design a electrochemical method to determine the optimum pH of enzyme.

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Polynomial Time Algorithm for Advertising and Publicity Campaign Problem (광고홍보활동 문제의 다항시간 알고리즘)

  • Sang-Un, Lee
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.23 no.1
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    • pp.151-156
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    • 2023
  • This paper deals with the optimization problem that decides the number of advertising for any media among various medium to maximize the perception quality index of new product meets the given budget and over the minimum reached people constraints. For this problem, there is only in used the mathematical approach as linear programming (LP) software package and has been unknown the polynomial time algorithm. In this paper we suggest the heuristic algorithm with O(nlog n)time complexity to solve the optimal solution for this problem. This paper suggests the evaluation index to select the media most economically-efficient way and decides the media and the number of advertisement. While we utilize Excel, the proposed algorithm can be get the same optimal solution as LP for experimental data.

Childcare Teachers' Perceptions and Practices on Integrating Music-Mathematics Activities (보육교사의 음악-수학 통합활동에 대한 인식과 실제)

  • Suhyun Kwon;Jung Ah Choi
    • Korean Journal of Childcare and Education
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    • v.20 no.2
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    • pp.17-37
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    • 2024
  • Objective: This study aimed to examine childcare teachers' perceptions and practice of music-math integrated activities, and their understanding of these activities. Methods: This study involved 201 childcare teachers from Seoul and surrounding areas. Surveys were employed to collect data on their background, implementation of music-math integrated activities, and the challenges they encountered. Additionally, a tool was also developed and utilized to measure the actual understanding of these activities. Data were analyzed using t-tests and ANOVA. Results: The results indicated that while teachers recognize the importance of integrated activities, they seldom implement them due to challenges related to resources and comprehension of concepts. Significant differences in the understanding of these activities were found based on teachers' experience, workplace type, age group of children under their care, and education level. Conclusion/Implications: In conclusion, the findings emphasize the necessity for the development and provision of pre-service and in-service training programs, along with support in educational materials for childcare teachers. These efforts are crucial to facilitate the effective implementation of music-math integrated activities.

A Study on the Practice of Performance Assessment in the Elementary School Mathematics - Focussing on Self-assessment and Peer-observation - (초등학교 수학과 수행평가 실천에 관한 연구 - 자기평가.동료평가.관찰평가를 중심으로 -)

  • Kim Song-Ja;Choi Chang-Woo
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.1
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    • pp.67-87
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    • 2006
  • This study is to recognize a problem in the practice of performance assessment in elementary school, and to find out some suggestive points for improvement of teaching·learning method in elementary mathematics through assessment by reducing time restriction according to assessment through the practice of self-assessment, peer-assessment and observation, and then by reflecting the results of assessment on teaching learning plan. For that, the questions of study set up are as follows ; 1. How should self-assessment and peer-assessment be applied to in elementary mathematics assessment? 2. How should the time for 'let's play an interesting game' be managed for assessment of elementary mathematics? 3. How should the results of assessment be reflected on the Process of teaching and learning of mathematics? To solve these problems, a researcher of this thesis performed self-assessment, peer-assessment on 40 students of second grade under her charge as a class teacher, and applied observation in the time management process for 'let's play an interesting game' for a semester. self-assessment was made by mathematics journal, self-assessment chart, peer-assessment was by the analysis of conversation record among students in the situations of assessment, and observation was by observation of activity when playing with the results data of play analyzed. the concrete methods of application as follows ; First, mathematics journal was applied $1{\sim}2$ times by each unit with reconstruction into the level of second grade on the basis of the preceding-study models. Second, peer-assessment was applied to the unit-assessment time and the play-activities time by the method of recording·analyzing the contents of conversation among students in the process of assessment. Third, mathematical attitude & dispositions of students making use of the self- assessment table were examined referring to the teaching learning plan. Fourth, the time management for 'let's play an interesting game' was made through the prior recognition of play method and the joyful play-activities by use of the play-plate. Assessment depended on analysis of play-activities results of students making use of an observation form. Fifth, the results of self-assessment, peer-assessment, and observation were analyzed, and then they were made use of as self-observation data, of teacher her/his self, or teaching·learning improvement data. Students' self-assessment datum (mathematics diary, self-assessment sheets, conversation contents in the process of assessment) and observation materials (check lists, Play-activity result materials, conversation contents in the process of play) obtained in the process of application was analyzed as follows ; 1. From the practice of self-assessment in form of mathematics journal, I could obtain not only datum showing how much students was understanding the learning aims by unit time and to any degree they reached but also information about their response to learning datum and favorable type of learning. 2. Assessment by self-assessment chart was useful in planning the mathematics teaching learning process because it helps ascertain mathematical attitude & dispositions of students. 3. Through the application of peer-assessment, students had the opportunity of communicating with other students looking back on his/her explaining process, and teachers could obtain basic materials for assessment of students. 4, In case of time management for 'let's play an interesting game', there was natural extension of play made through time-security by prior looking into the method of play-activity, and then, for a remained time, by making children play a new game. 5, I could easily record the activities of students by use of the observation. form, and make use of it as basic data for descriptive assessment. 6, Each kinds of data obtained from the results of assessment was helpful for securing self-observation materials in the process of teaching learning and for their betterment in mathematics subject. However, because they were in the second grade of elementary school and there was an individual difference, some students could not make use of mathematics diary or self-assessment form properly. In case of these students, assessment data would be obtained through interview or observation. And for effective operation of play, its purpose & method and matters that demand special attention when play-acting should be clearly guided. Also, when applying an effective play in addition to play activities in textbook, to lessons, interesting mathematics lessons could be guided.

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A development and evaluation of practical problem-based Home Economics lesson plans applying to multiple intelligence teaching.learning strategy - Focused on the unit 'Nutrition & Meals' of middle school Home Economics subject matter - (다중지능 교수.학습 방법을 적용한 실천적 문제 중심 가정과 교수.학습 과정안의 개발과 평가 - 중학교 가정과 '청소년의 영양과 식사' 단원을 중심으로 -)

  • Choi, Seong-Youn;Chae, Jung-Hyun
    • Journal of Korean Home Economics Education Association
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    • v.23 no.1
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    • pp.87-111
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    • 2011
  • The purpose of this study was to develop and evaluate practical problem-based Home Economics lesson plans applying to the multiple intelligence teaching learning strategy, focused on the unit 'Nutrition & Meals' of middle school Home Economics subject matter. To achieve this purpose, the lesson plans were developed and evaluated from the 72 middle school students in Chongju after implementing the instruction. The data from the questionnaire were analyzed by SPSS/WIN 12.0 and content analysis. The results were as follows: First, the objectives of practical problem-based 'Nutrition & Meals' Instruction using multiple intelligence teaching strategy were to understand the importance of nutrition and health in an adolescent period and to develop good eating habits. The Practical Problem was 'What should I do for good eating habits?' and the learning contents were healthy life, the kinds and functions of nutriments, food pyramid and a food guide. The learning activities were progressed by various types of teaching and learning methods including 8 types of multiple intelligence teaching strategy. The lesson plans were developed according to the process of practical problem solving model. 6 periods of lesson plans and worksheets were developed. Second, the practical problem-based instruction using multiple intelligence teaching-learning strategy were evaluated to increase students' positive learning attitudes, motivation, and good eating habits.

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Designing a Model of Problem Posing focusing on the Analysis of Meaning (의미 분석을 강조한 문제설정 모형 설계하기)

  • Jun, Young Bae;Roh, Eun Hwan;Kim, Dae Eui;Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.383-407
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    • 2013
  • As an alternative of making students active and independent under the passive learning conditions in school math classes, many researchers have paid much attention to problem posing and done a lot of research on it. Above all, Brown and Walter proposed What I f Not strategy as a means of problem posing. In this strategy, during the process of posing problems, the transformation of their attributes is inevitably made, and so after problem posing, the process is finished by explaining the problem. But only the simple transformation of attributes could pose wrong problems. It suggests that it is very important to recognize the relationship which leads to organic connection between attributes in order to pose the right problem. However, many other studies of problem posing haven't focused on this fact. Thus, this study tried to design a model of problem posing to help recognize inherent knowledge in the problem and then pose the right problem by adding an activity of meaning analysis. We concretely showed a model of problem posing emphasizing the analysis of meaning by means of an example, thereby examining the meaning of the model. This study expects students to have the chance to understand the true meaning of problem posing and to be active learners after all.

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