• Title/Summary/Keyword: 실용 수학

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A Mathematics Tutoring Model That Supports Interactive Learning of Problem Solving Based on Domain Principles (공식원리에 기반한 대화식 문제해결 학습을 지원하는 수학교수 모형)

  • Kook, Hyung-Joon
    • The KIPS Transactions:PartB
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    • v.8B no.5
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    • pp.429-440
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    • 2001
  • To achieve a computer tutor framework with high learning effects as well as practicality, the goal of this research has been set to developing an intelligent tutor for problem-solving in mathematics domain. The maine feature of the CyberTutor, a computer tutor developed in this research, is the facilitation of a learning environment interacting in accordance with the learners differing inferential capabilities and needs. The pedagogical information, the driving force of such an interactive learning, comprises of tutoring strategies used commonly in various domains such as phvsics and mathematics, in which the main contents of learning is the comprehension and the application of principles. These tutoring strategies are those of testing learners hypotheses test, providing hints, and generating explanations. We illustrate the feasibility and the behavior of our propose framework with a sample problem-solving learning in geometry. The proposed tutorial framework is an advancement from previous works in several aspects. Firstly, it is more practical since it supports handing of a wide range of problem types, including not only proof types but also finding-unkown tpes. Secondly, it is aimed at facilitating a personal tutor environment by adapting to learners of varying capabilities. Finally, learning effects are maximized by its tutorial dialogues which are derived from real-time problem-solving inference instead of from built-in procedures.

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Scientific Qualifications Reflected in the Exploration of Space Geometry Utilizing 4D Frame (4D 프레임을 활용한 공간도형탐구 담화에 나타난 과학적 소양)

  • Kim, Hwa-Soo
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.595-618
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    • 2010
  • To grow as talents with future oriented knowledge and creativity, students need imaginative power and creativeness, and to that end, mathematics and science subjects may help. Students need activities that help gain explorative mind for new things, concentrating ability, researching ability and creativeness, and such attributes can be improved through the activities of making various shapes utilizing space geometry in 4D-frame. Such activities not only contribute to defining ability in mathematics but also cherish the qualifications required as architects and space scientists.

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An Analysis on Statistical Graphs in Elementary Textbooks of Other Subjects to Improve Teaching Graphs in Mathematics Education (타 교과 통계 그래프 분석을 통한 초등학교 수학 수업에서의 그래프 지도 개선 방안 탐색)

  • Lee, Hyeungkeun;Kim, Dong-Won;Tak, Byungjoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.119-141
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    • 2019
  • This study was carried out in order to draw some implications for teaching statistical graph in mathematics education with respect to practical statistics education for promoting students' statistical literacy. We analyze 133 graphs appearing in 99 elementary textbooks of other subjects (subjects except from mathematics) by subjects and types, and identify some cases of graphs addressed by other subjects. As a results, statistical graph was most addressed in social studies, and bar graphs, line graphs, tables, and circle graphs are most used in other subjects. Moreover, there are some issues related to contents-(1) the problem of curricular sequencing between mathematics and other subjects, (2) the level of addressing ratio graph, and (3) the use of wavy lines. In terms of forms, (1) the visual variation of graphical representations, (2) representation combining multiple graphs, and (2) graphs specialized for particular subjects are drawn as other issues. We suggest some implications to be considered when teaching the statistical graph in elementary mathematics classes.

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The 6th Graders' Graph Interpretation and its Teaching Methods (초등학교 6학년 학생들의 그래프 해석 및 지도 방안)

  • Jo, Ah;Lee, Kwang-Ho;Choi, Sung Taek
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.113-125
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    • 2014
  • The purpose of the study is to examine how the 6th graders interpret graphs, and on basis of the research, to seek for guidance on ways to improve their analysis capabilities. All the students from two classes of D elementary school in Busan became the target to examine how to interpret graphs. On the basis of the result, 6 students who characterized by graph interpretation got an in-depth interview and the outcome was analyzed in detail. The students are able to understand both quantitative and qualitative meaning of graphs and they learned practicality while they think of graphs connecting with real life, most of all they have been interested in interpreting the meaning of graphs.

A Controller Development of Water Heating in a Ceramic Pipe Using Electronics Control System (전자제어 장치를 이용한 세라믹 파이프의 온수제어기 개발)

  • Lee, Jung-Suk
    • The Journal of the Korea institute of electronic communication sciences
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    • v.6 no.5
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    • pp.717-722
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    • 2011
  • This paper presents that the electronic controller is developed for controlling the setting temperature and water in the ceramic pipe system. The heating water system is designed for controlling the temperature to supply the heat through the ceramic pipe heater to input the water, also for controlling quantity of water using the water sensor and impeller. The control method of the heating water system is applied the mathematic modeling of the ceramic pipe heater on the suppling the heat at coming water, and the test result of the electronic controller is present to smartly control the setting temperature, therefore the ceramic pipe heater is proposed to be able to apply the heating structure and the control methods as a product.

An Analysis of Elementary Mathematics Curriculum in Korea through the Philosophical View of Mathematics Education (수학 교육 철학적 분석을 통한 초등 수학과 교육과정의 경향 파악)

  • Lee Myeong Hee;Paik Seok Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.4 no.1
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    • pp.39-55
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    • 2000
  • The purpose of this research is to analyse Korean elementary mathematics curriculum taking a philosophical view of mathematics education. In this research, 1 will analyze not only the current elementary mathematics curriculum but also the past ones. There have been intermittently quantitative and external analysis so far to comprehend the elementary mathematics curriculum. But, I thought we also need qualitative and internal comprehension and examined the curriculums through a philosophical analysis. Generally, mathematics curriculums at every period have their own mathematical philosophy consciously or tacitly. And, the school mathematics is the practice of mathematics curriculum based on that mathematical philosophy. Mathematical curriculum reflects both the philosophical aspect in mathematical philosophy that forms the background of the mathematical curriculum and the sociological aspect in real-class that is the output of the curriculum. With this view, the logic of social constructivism can be an appropriate way that leads mathematical philosophical analysis and sociological analysis in mathematics education. So, I comprehend the tendency of the Korean elementary mathematics curriculum from the first to the seventh through the philosophical views. In view of the results so far achieved, after the second half of the 20th century, the Korean mathematical curriculums mainly have the tendency from the Ideology of progressive educator (the first) to of technological pragmatist (the second), from that of old humanist (the third and forth) to progressive educator (the fifth and sixth), and lastly that of social constructivism (the seventh).

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Mathematics Preservice Teachers' Disposition about Methods of Instruction Which Is Based on Shulman's Pedagogical Reasoning (중등 수학 예비 교사들의 다양한 교수.학습 방법에 대한 성향)

  • Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.1-25
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    • 2009
  • The purpose of this research is the investigation of mathematics pre service teachers' disposition. Their disposition will be used for preposition of preservice Leacher program for making pre service teachers' participate any program willingly and extend their thinking. For this research, the researcher collected various data from investigation-presentation, report for practice and beauty of mathematics, micro teaching, and peer-evaluation. Preservice teachers had positive attitude for mathematics. They described their feeling, thinking and reflection about various methods of instruction and prefer to have micro teaching. They described that the investigation-presentation was needed to change some. From the results, the teacher preparation program is needed to integrate theory and practice to make preservice teachers gain profound knowledge on pedagogical content knowledge by making them high their interest and sensitivity on mathematics.

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Current status and future direction of constructed-response assessments - Cases of secondary mathematics in Gyeonggi-do and Ohio - (중등 수학과 서술형평가 체계의 실제와 대안적 발전 방향 모색 - 경기도 창의.서술형 평가와 미국 오하이오 주 평가를 중심으로 -)

  • Kim, Rae-Young;Kim, Goo-Yeon;Noh, Sun-Sook;Kim, Min-Kyeong;Jeon, Ji-Hoon;Kim, Ki-Young;Lee, Min-Hee
    • Communications of Mathematical Education
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    • v.26 no.3
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    • pp.273-299
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    • 2012
  • The purpose of this study is to investigate how constructed-response assessments are currently defined and used to find an alternative way of developing well-defined constructed-response questions and an assessment system. Based on our review of the literature, we analyze constructed-response assessments developed and used in Gyeonggi-do, South Korea and Ohio, U.S.A. in terms of their definitions, types of questions, information and guidelines given by the government agencies in each place, and scoring rubrics and their use. The results provide meaningful implications for the development of constructed-response assessments in the future.

An Analysis on Classifying and Representing Data as Statistical Literacy: Focusing on Elementary Mathematics Curriculum for 1st and 2nd Grades (통계적 소양으로서 자료의 분류 및 표현 활동의 의의 분석: 초등학교 1~2학년군 수학과 교육과정을 중심으로)

  • Tak, Byungjoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.3
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    • pp.221-240
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    • 2018
  • In this study, we focus on the classifying and representing data in the elementary mathematics curriculum for 1st and 2nd grades which have been rarely addressed in the previous studies. We analyze the significance of classifying and representing sata in terms of statistical problem solving and variability as the core of statistical literacy. As a result, the classifying and representing data are important for students to recognize the variability which is ubiquitous in the data and to construct distribution of data, respectively. They are reflected in the 2015 revised mathematics curriculum as the statistical literacy for addressing data. We suggest some implications to teach the classifying and representing data as the practice of statistical literacy education in their statistics classes for 1st and 2nd grades.

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The Development of STEAM Education Material Focused on Elementary Mathematics Using Architectures (건축을 활용한 초등학교 수학 중심의 융합교육 수업자료 개발)

  • Lee, Jeong-Hak;Yoon, Ma-Byong
    • The Journal of the Korea Contents Association
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    • v.14 no.6
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    • pp.499-512
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    • 2014
  • Architecture is usually seen as a product of art and technology. However, most historical buildings also exemplify various sophisticated principles of mathematics. Outstanding examples of architecture around the world such as Seokguram, Daewoongjun of Bulguksa, Muryangsujeon of Buseoksa, and the Parthenon provide students with a great opportunity to study their underlying mathematical properties and principles. The activity of identifying and investigating such mathematical principles in historical buildings enables students to realize that mathematics is a practical subject, and thus provides justification for the study and importance of mathematics. For the purpose of this study historical architecture was reviewed with this in mind in order to develop STEAM education materials focused on elementary school mathematics. The result of this study is as follows: first of all, appropriate examples of historical architecture were selected on the basis of the 2009 revised curriculum's content and teaching goals. These involved chapters on 'proportion', 'symmetry', 'movement of figures', 'building blocks', and 'triangles'. Secondly, a meta-analysis was performed on the historical buildings that clearly illustrate mathematical principles. Thirdly, STEAM education materials focused on elementary mathematics using architectural examples were developed which made actual application in classrooms possible. And lastly, surveys of professional groups were conducted to verify whether the produced materials were suitable teaching resources.