• Title/Summary/Keyword: Mathematical Principles

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An Analysis of 'Related Learning Elements' Reflected in Textbooks (<인공지능 수학> 교과서의 '관련 학습 요소' 반영 내용 분석)

  • Kwon, Oh Nam;Lee, Kyungwon;Oh, Se Jun;Park, Jung Sook
    • Communications of Mathematical Education
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    • v.35 no.4
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    • pp.445-473
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    • 2021
  • The purpose of this study is to derive implications for the design of the next curriculum by analyzing the textbooks designed as a new subject in the 2015 revised curriculum. In the mathematics curriculum documents of , 'related learning elements' are presented instead of 'learning elements'. 'Related learning elements' are defined as mathematical concepts or principles that can be used in the context of artificial intelligence, but there are no specific restrictions on the amount and scope of dealing with 'related learning elements'. Accordingly, the aspects of 'related learning elements' reflected in the textbooks were analyzed focusing on the textbook format, the amount and scope of contents, and the ways of using technological tools. There were differences in the format of describing 'related learning elements' in the textbook by textbook and the amount and scope of handling mathematics concepts. Although similar technological tools were dealt with in each textbook so that 'related learning elements' could be used in the context of artificial intelligence, the focus was on computations and interpretation of results. In order to fully reflect the intention of the curriculum in textbooks, a systematic discussion on 'related learning elements' will be necessary. Additionally, in order for students to experience the use of mathematics in artificial intelligence, substantialized activities that can set and solve problems using technological tools should be included in textbooks.

Tutorial on the Principle of Borehole Deviation Survey - An Application of the Coordinate Transforms (시추공 공곡 측정의 원리 - 좌표계 변환의 응용)

  • Song, Yoonho
    • Geophysics and Geophysical Exploration
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    • v.23 no.4
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    • pp.243-252
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    • 2020
  • To share an understanding of trajectory measurement in surveys using borehole, this tutorial summarizes the relevant mathematical principles of the borehole deviation survey based on coordinate transform. For uncased or open holes, calculations of the azimuth-deviation-tool face rotation using three-component accelerometer and magnetometer measurements are summarized. For the steel-cased holes, calculations are based on the time-derivative formula of the coordinate transform matrix; yaw-pitch-roll angles through time are mathematically determined by integrating the threecomponent angular velocity measurements from the gyroscope while also removing the Earth's rotation effect. Sensor and data fusion to increase the accuracy of borehole deviation survey is explained with an example of the method. These principles of borehole deviation surveys can be adapted for attitude estimation in air-borne surveys or for positioning in tunnels where global positioning system (GPS) signals cannot be accessed. Information on the optimization filter that must be incorporated in sensor fusion is introduced to help future research.

Lesson Planning: How Do Pre-service Teachers Benefit from Examining Lesson Plans with Mathematics Teaching Practices as an Analytical Lens? (수업설계와 예비교사의 학습: 수학교수관행을 분석틀로 사용한 예비교사의 수업지도안 검토 활동이 어떤 도움이 되는지에 관한 고찰)

  • Lee, Ji-Eun;Lim, Woong;Kim, Hee-Jeong
    • Education of Primary School Mathematics
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    • v.19 no.3
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    • pp.211-222
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    • 2016
  • This article examines K-8 pre-service teachers' (PSTs) engagement in lesson plan modification using the eight Mathematics Teaching Practices (MTPs) in Principles to Actions, the most recent landmark publication of framework by National Council of Teachers of Mathematics (NCTM) in the U.S. The activity consisted of four phases that involved the analysis and modification of an existing lesson plan. Fifty-seven PSTs participated in the activity throughout the semester, and data from each phase was analyzed using the inductive content analysis approach. PSTs' initial conceptions of lesson planning reflected little on teaching practices (i.e., the MTPs) with more emphasis placed on the form - rather than function - of lesson elements. With the opportunity to interpret MTPs and analyze lesson plans using MTPs as an analytical lens, PSTs demonstrated various interpretations of MTPs, made efforts to incorporate MTPs into lessons, and attended to the interwoven nature of MTPs. This article also shares the challenges, conflicts, and tensions reported by PSTs during their participation of lesson plan modification; as such, the results from this study will inform the research examining the pedagogical (im)possibilities for utilizing MTPs in mathematics teacher training programs.

A Development and Application of the Learning Objects of Geometry Based on Augmented Reality (증강현실기반 도형영역 학습 객체 개발 및 적용)

  • Lee, SangYoon;Kim, Kapsu
    • Journal of The Korean Association of Information Education
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    • v.16 no.4
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    • pp.451-462
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    • 2012
  • In this study, our primary areas of mathematical shapes as a way to solve the problem of sixth grade math and geometry around the area in addition to the real world, the virtual objects to explore on their own learning, heuristic principles and learning concepts are developed. To this end, second-class sixth grade in Seoul class M is selected and the area of Augmented Reality class shapes students' academic achievement sure to affect how much agreed. experimental study was developed and then applied to the actual class content across pre and post implementation evaluation, and subsequent academic achievement levels were compared and analyzed. As a result, learners in the experimental group and control group than the class of interested students and class satisfaction, a statistically higher achievement. Learning on augmented reality, which shapes have the gumption to participate in classes, and concepts related to shape the formation and indicates that academic achievement is related.

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A philologicalStudyonHuangdizhaijing(黃帝宅經) (황제택경(黃帝宅經)의 문헌적 연구)

  • Chang, Sung-Kyu
    • Journal of architectural history
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    • v.18 no.6
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    • pp.65-84
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    • 2009
  • This study was to analyze the philological character of Huangdizhaijing(黃帝宅經). Huangdizhaijing is a first stage scriptures of YangzhaiFengshui(陽宅風水) which is the firstly mentioned book in Sikuquanshu(四庫全書). Huangdizhaijing is an obligatory book to read to understand the palace of ancient dynasty as well as general housing of people. Huangdizhaijing measured housing conditions divided into Yangzhai(陽宅) and Yinzhai(陰宅). The contents succeeded traditional Yangzhaiguan(陽宅觀) which values direction(方向) and Jiri(吉日). Thatis, classifying Yangzhai into 24 directions based on Qi of YinYang(陰陽之氣) theory, general contents of Huangdizhaijing explains regulatory rules and propitious day in accordance with the Yangzhai mathematical principles and archaeology through Jixiongshenshalun(吉凶神煞論). Huangdizhaijing includes the kernel of understanding the chinese architect system and housing culture because it describes close reciprocal influences between man and house. It seems that the author of Huangdizhaijing is not the emperor but he was represented by descendants who systemized the idea of Huangdizhaijing in Yangzhai shu(陽宅書). Being there many of documents presented by emperor like Huangdineijing(黃帝內徑), It is counted that the reason of the representing emperor is to show off its origin has long and authoritative history. It seems that the preserved period of writing Huangdizhaijing is Tang(唐) dynasty, but counting that various Yangzhaishu prevailed, Huangdizhaijing's contents has much in common with Dunhuangben(敦煌本), and it valued Menfazhidu(門閥制度) of Weijinnanbeichao(魏晉南北朝) dynasty, the many of the contents of Huangdizhaijing should be formed before Tang dynasty. The exiting editions of Huangdizhaijing could be divided into generally 8 kinds:(1) Zhengtongdaocangben(正統道藏本) (2)Yimenguangduben(夷門廣牘本) (3)Jindaimishuben(津逮秘書本) (4)Shuofuben(說?本) (5)Gujintushujichengben(古今圖書集成本) (6) Sikuquanshuben(四庫全書本) (7)Xuejintaoyuanben(學津討原本) (8)Dunhuangben(敦煌本).

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A Study on the Relation between Mathematics Learning Contents of High School Liberal Arts Course and Major Fields of College of Business Administration (고등학교 인문계 수학과 대학 경상계열 전공학문과의 연계성)

  • Park, Yeongyong;Lee, Heonsoo
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.423-443
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    • 2017
  • In this paper, In this paper, we study the recognition of undergraduate students and professors about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We chose 155 undergraduate students and 6 professors at college of business administration in M university and investigate their recognition about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We found following facts. First, mathematics education in high school should be based on understanding of mathematical conceptions and principles rather than problem-solving skills to intensifying the relation between mathematics of high school liberal arts course and major fields of college of business administration. Second, we have impressed upon them, whom are going to college of business administration, the need for more mathematics to study a major field.

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Effects of STEAM-based Mathematics Instruction on Elementary School Students' STEAM Attitudes (STEAM 기반 수학 수업이 초등학생의 융합적 태도에 미치는 효과)

  • Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.345-368
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    • 2017
  • The purpose of this study is to investigate the educational significance of STEAM in school mathematics education by developing a STEAM program that learns mathematical and scientific principles based on patterns and analyzing the effects of developed program. For this purpose, we conducted an experimental class based on the STEAM program developed. STEAM attitude and satisfaction were tested for 120 elementary school students. The results of this study are as follows. First, in terms of STEAM attitude, STEAM-based experimental instruction did not differ significantly in the second grade students. However, there were positive effects in the other five grades. Second, in terms of satisfaction, the proportion of students who were 'generally' was 89%. the proportion of students who were 'not generally' was 3%. Study subject students were found to be generally satisfied with the STEAM-based instruction.

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Development of Class-Based Learning Applet on Numbers and Number Operations (수와 연산 학습을 위한 클래스기반 학습 애플릿 개발)

  • Kim, Min-Jeong;Kim, Kap-Su;Min, Mee-Kyung
    • Journal of Digital Contents Society
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    • v.8 no.2
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    • pp.235-243
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    • 2007
  • Students develop mathematical concepts through concrete operations in the area of mathematics. However, most of the learning contents provided on the web are not interactive and limit interactions with learners. To overcome the limitations, there have been needs to develop learning contents to support active interactions with students according to their cognitive levels. In this study, the curriculum of numbers and number operations in elementary mathematics was analyzed. Based on the object-oriented design principle, "Number Classes" on numbers and number operations were designed and implemented. A class-based learning applet was developed with theses "Number Classes". It was developed in small unit programs based on learning themes of mathematics in elementary schools. With this learning applet, the active explorations through easy operations will help students to learn concepts and principles of numbers and number operations. It will strengthen active interactions of students with computer.

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Availability of Energy and Reconstruction of Thermodynamics(I) Thermodydamics of the Reversible World (에너지의 가용성과 열역학의 재구성 (I) 가역세계 열역학)

  • 정평석;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.5
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    • pp.1227-1236
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    • 1993
  • In conventional thermodynamics, energy is regarded as a physical quantity transferring from one system to another, but in present study, the real energy is regarded as a physical quantity coming out from one interaction and absorbing into another interaction between two systems. To reconstruct thermodynamics with such a point of view, available work is distinguished from half work in conventional work concepts, and a special space named reversible world is proposed in which every process is reversible and the only measurable quantity is available work and just the equality between the intensities of two systems can be verified. As results, thermodynamic laws are arranged into two principles in the reversible world-conservations of energy elements and conservation of available energy. It means the exsistences of state properties corresponding to transferring energy elements and the available work. The former are extensive properties and the later is named potential work which is a property of the composite system and a kind of mathematical distance. The conventional available energy (exergy) and internal energy can be explained as the special cases of potential work, and the conventional first law of thermodynamics can be derived from the principle of the conservation of available energy. With these new concepts, the description of thermodynamic processes is more comprehensive. The second law of thermodynamics is no longer needed in the reversible world.

A Systemic Review of Pulse Contour Analysis and Fourier Spectrum Analysis on the Photoplethysmography of Digit (지첨용적맥파의 파형분석과 주파수분석에 대한 문헌적 연구)

  • Nam, Tong-Hyun;Park, Young-Bae;Park, Young-Jae;Shin, Sang-Hoon
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.11 no.1
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    • pp.48-60
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    • 2007
  • Palpation of the pulse has been used in Korean traditional medicine since ancient times to assess physical health. Pulse wave contour may be obtained by measuring arterial pressure or blood volume change of skin. The latter is called as Photoplethysmography(PPG) or digital volume pulse(DVP). The PPG signal is measured by a device comprising an infrared light sourece and a photodetector. Although less widely used, this technique deserves further consideration because of its simplicity and ease of use. The contour of the PPG is formed as a result of a complex interaction between the left ventricle and the systemic circulation. It usually exhibits an early systolic peak and an early diastolic peak. the first peak is formed mainly by pressure trasmitted along a direct path from the left ventricle to the finger. The second peak is formed in part by pressure transmitted along the aorta and large arteries to sites of impedance mismatch in the lower body. The contour of the PPG is sensitive to changes in arterial tone and is influenced by ageing and large artery stiffness. Measurements taken directly from the PPG or from its second derivative can be used to assess these properties. In some mathematical approaches, the extraction of periodic components using frequency analysis was tried to analysis of the PPG. But we don't understand yet what kind of factor in the cardiovascular system or human body is related with the respective specific Fourier components of PPG. This review describes the background to measurement principles, representative contour, contour analysis and frequency domain analysis of PPG, and current and future.

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