• Title/Summary/Keyword: 기하교육과정

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An analysis of factors which affect teachers' self-confidence in using technology for mathematics class (테크놀로지를 활용한 교사의 확신(self-confidence)에 영향을 미치는 요인 탐색)

  • Hong, Ye-Yoon;Im, Yeon-Wook
    • Journal of Digital Convergence
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    • v.10 no.11
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    • pp.565-577
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    • 2012
  • Various factors affecting teachers' self-confidence exist in math class using technology such as graphic calculators. For example, internal factors such as teachers' attitude and external factors such as school administrators or colleague's support can be considered. Pedagogical Technology Knowledge(PTK) is the very important factor which determines teacher's self-confidence in educational technology, and the development of PTK is composed of teacher's perception on the technology and its application and instrumentation. This study investigated 19 pre-service and current middle and high school teachers in the respect of their change of self-confidence, attitude, expertise on pedagogical technology, and quality of math class. These are anlayzed with the concept of instrumentation and instrumentalization through various experiences like graphic calculator, GPS and AutoGraph. The result indicated that constraints or obstacles did not affect much if teachers' attitude and self-confidence were strong. Particularly teachers' firm will to learn about technology and their confidence on its value are the critical factors in using technology for mathematics class.

Analysis of Research Trends in SIAM Journal on Applied Mathematics Using Topic Modeling (토픽모델링을 활용한 SIAM Journal on Applied Mathematics의 연구 동향 분석)

  • Kim, Sung-Yeun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.7
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    • pp.607-615
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    • 2020
  • The purpose of this study was to analyze the research status and trends related to the industrial mathematics based on text mining techniques with a sample of 4910 papers collected in the SIAM Journal on Applied Mathematics from 1970 to 2019. The R program was used to collect titles, abstracts, and key words from the papers and to analyze topic modeling techniques based on LDA algorithm. As a result of the coherence score on the collected papers, 20 topics were determined optimally using the Gibbs sampling methods. The main results were as follows. First, studies on industrial mathematics were conducted in a variety of mathematics fields, including computational mathematics, geometry, mathematical modeling, topology, discrete mathematics, probability and statistics, with a focus on analysis and algebra. Second, 5 hot topics (mathematical biology, nonlinear partial differential equation, discrete mathematics, statistics, topology) and 1 cold topic (probability theory) were found based on time series regression analysis. Third, among the fields that were not reflected in the 2015 revised mathematics curriculum, numeral system, matrix, vector in space, and complex numbers were extracted as the contents to be covered in the high school mathematical curriculum. Finally, this study suggested strategies to activate industrial mathematics in Korea, described the study limitations, and proposed directions for future research.

Design of Teacher's Folding Back Model for Fundamental Theorem of Calculus (미적분학의 기본정리에 대한 교사의 Folding Back 사고 모형 제안)

  • Kim, Bu-Mi;Park, Ji-Hyun
    • School Mathematics
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    • v.13 no.1
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    • pp.65-88
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    • 2011
  • Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

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A Study on the Proposal for Extension of Local Autonomy and Financial Atonomy of Local Education

  • Park, Jong-Ryeol;Noe, Sang-Ouk
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.3
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    • pp.155-165
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    • 2021
  • The measures to extend local education autonomy are as follows: First, it is necessary to correct the confusion of the legal system of the local education autonomy system. For this, Article 12, Paragraph 2 and 4 of the 「Special Act on Local Autonomy and Decentralization, and Restructuring of Local Administrative Systems」 which state that "The State shall endeavor to consolidate systems for autonomy in education and local government" and "The implementation of autonomy in education and the autonomous police system shall be prescribed separately by Acts" should be deleted. Second, it is necessary to clarify unnecessary legal matters and regulatory measures for unification at the national level and to proactively consider the introduction of the legal trust system, in which education affairs are designated as local governments' own work and the state carries out specific affairs. The decentralization of local education finance is a key factor for the development of local education autonomy, and it requires the transfer of authority and resources to the region, and the enhancement of local autonomy and corresponding responsibility. First, the ratio of special grants must be adjusted further (from 3% to 2%) or the ratio of national policy projects must be lowered. Second, the provision that requires a consultation with a mayor/governor when making a budget covered by transfers from general accounts should be deleted. Third, it is necessary to remove the elements that limit the authority of city and provincial councils. Fourth, it is necessary to integrate the national education tax and the local education tax to create the education autonomy tax (tentative name) for only one independent purpose. Fifth, it is necessary to strengthen the distribution of the total amount of grants and abolish the settlement regulations for the measurement items of standard financial demand. Sixth is the expansion of the participation of stakeholders and experts in the grant distribution process. Seventh, it is necessary to establish a long-term employment system by designating the education finance field as a special field. Eight is the expansion of cooperative governance.

A Comparison of Mathematically Gifted Students' Solution Strategies of Generalizing Geometric Patterns (초등학교 4,5,6학년 영재학급 학생의 패턴 일반화를 위한 해결 전략 비교)

  • Choi, Byoung Hoon;Pang, Jeong Suk
    • Journal of Educational Research in Mathematics
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    • v.22 no.4
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    • pp.619-636
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    • 2012
  • The main purpose of this study was to explore the process of generalization generated by mathematically gifted students. Specifically, this study probed how fourth, fifth, and sixth graders might generalize geometric patterns and represent such generalization. The subjects of this study were a total of 30 students from gifted classes of one elementary school in Korea. The results of this study showed that on the question of the launch stage, students used a lot of recursive strategies that built mainly on a few specific numbers in the given pattern in order to decide the number of successive differences. On the question of the towards a working generalization stage, however, upper graders tend to use a contextual strategy of looking for a pattern or making an equation based on the given information. The more difficult task, more students used recursive strategies or concrete strategies such as drawing or skip-counting. On the question of the towards an explicit generalization stage, students tended to describe patterns linguistically. However, upper graders used more frequently algebraic representations (symbols or formulas) than lower graders did. This tendency was consistent with regard to the question of the towards a justification stage. This result implies that mathematically gifted students use similar strategies in the process of generalizing a geometric pattern but upper graders prefer to use algebraic representations to demonstrate their thinking process more concisely. As this study examines the strategies students use to generalize a geometric pattern, it can provoke discussion on what kinds of prompts may be useful to promote a generalization ability of gifted students and what sorts of teaching strategies are possible to move from linguistic representations to algebraic representations.

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Preliminary Structural Form Planning for Suspension Bridge According to Force Flow (힘의 흐름을 따르는 현수교의 초기 구조형태계획)

  • Kim, Namhee;Koh, Hyun-Moo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.4
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    • pp.1315-1326
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    • 2013
  • Geometric form of a suspension bridge that uses load-sensitive cables takes on not only resisting loads but also becoming a visually sensible shillouette. This study has proposed a preliminary structural form planning for a suspension bridge following force flow by adopting the two possibilities of the graphic statics. First, the force polygon allows alternative load paths for the same loading condition. Second, a new structural form for the newly developed load path can be constructed using the reciprocal principle that exits between a structure space and the corresponding force polygon. Major structural form parameters that affect both structural and aesthetic aspecs are first identified. The relationships between structural forms and the corresponding force polygons are then investigated for the identified parameters. Upon the investigation, a stepwise process is developed for a preliminary structural form planning for a suspension bridge. The proposed structural form planning method is general that can be easily expanded to generate design alternatives of similar form-active structural systems. It is also expected that this method will be used as an educational tool to explain the interrelationships between structural forms and their force flows.

By Basic Plane Figure, An Analysis Study on Appearance Type of Character in Domestic Kids TV Animation -Focus on the Broadcasting Animation on EBS- (기본 평면도형을 활용한 국내 TV 유아동 애니메이션 캐릭터 형태 분석 -한국교육방송 방영작을 중심으로-)

  • Kim, Suk-Rae;Chung, Jean-Hun
    • Journal of Digital Convergence
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    • v.14 no.4
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    • pp.397-405
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    • 2016
  • Specially, the character in the kids animation is the fundamental visual element, and also has the high value which is to connect to various related businesses. The main purpose of this study is the analysis for character's appearance by the basic plane figure, and it has studied on the authority of recognition capability which is to catch the simple shape rapidly and clearly rather than complex shape. For this study, I established the standard of analysis and then applied that to the characters which were selected in broadcasting domestic kids animation on EBS. Through this procedure, I analyzed character's appearance with the distribution chart. As the result, the circular and oval shapes are the most frequently used shapes for character's appearance. Finally, I expect the result of this study could be one of the design index for the character creation in practical environment.

A Study on the Cryptography Technology for Computing Stored and Encrypted Information without Key Leakage (키 유출 없이 저장되고 암호화된 정보를 계산할 수 있는 암호기술에 관한 연구)

  • Mun, Hyung-Jin;Hwang, Yoon-Cheol
    • Journal of Industrial Convergence
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    • v.17 no.1
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    • pp.1-6
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    • 2019
  • Various cryptographic technologies have been proposed from ancient times and are developing in various ways to ensure the confidentiality of information. Due to exponentially increasing computer power, the encryption key is gradually increasing for security. Technology are being developed; however, security is guaranteed only in a short period of time. With the advent of the 4th Industrial Revolution, encryption technology is required in various fields. Recently, encryption technology using homomorphic encryption has attracted attention. Security threats arise due to the exposure of keys and plain texts used in the decryption processing for the operation of encrypted information. The homomorphic encryption can compute the data of the cipher text and secure process the information without exposing the plain text. When using the homomorphic encryption in processing big data like stored personal information in various services, security threats can be avoided because there is no exposure to key usage and decrypted information.

Development and Applications of Mathematical Proof Learning-Teaching Methods: the Generative-Convergent Model (증명학습에서 생성-수렴 수업 모형의 개발과 적용)

  • 이종희;김부미
    • School Mathematics
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    • v.6 no.1
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    • pp.59-90
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    • 2004
  • This study has been established with two purposes. The first one is to development the learning-teaching model for enhancing students' creative proof capacities in the domain of demonstrative geometry as subject content. The second one is to aim at experimentally testing its effectiveness. First, we develop the learning-teaching model for enhancing students' proof capacities. This model is named the generative-convergent model based instruction. It consists of the following components: warming-up activities, generative activities, convergent activities, reflective discussion, other high quality resources etc. Second, to investigate the effects of the generative-convergent model based instruction, 160 8th-grade students are selected and are assigned to experimental and control groups. We focused that the generative-convergent model based instruction would be more effective than the traditional teaching method for improving middle school students' proof-writing capacities and error remediation. In conclusion, the generative-convergent model based instruction would be useful for improving middle grade students' proof-writing capacities. We suggest the following: first, it is required to refine the generative-convergent model for enhancing proof-problem solving capacities; second, it is also required to develop teaching materials in the generative-convergent model based instruction.

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Police Officers' Cognitions of Police Investigation Specialization (수사경과제에 대한 경찰공무원의 인식)

  • Choi, Mu-Chan
    • The Journal of the Korea Contents Association
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    • v.9 no.6
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    • pp.289-299
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    • 2009
  • This study set out to analyze the perceptions of investigative police officers and division police officers regarding Police Investigation Specialization, which had been in effect for four years, identify the problems, and search for alternative policies. The results led to the following alternative policies; first, the communication among the members should be facilitated by trading the jobs between investigative policemen and division members in certain percentage regularly, integrating job education and special work, and developing diverse support programs for detective activities to provide them with opportunities to experience and understand investigation. The second suggestion concerns the investigation members' morale. There should be a range of measures to boost their moral such as allocating separate budget and personnel to support the investigation department and the treatment of major criminal and civil cases, giving each investigation team an office and investigation room to improve their working environment, readjusting the promotion ratio of Police Investigation Specialization to introduce a promotion system proper for each investigation's characteristics. The third suggestion is to secure job efficiency. It's required to reinforce the current short-term specialized education program to bring up practical and professional investigators, open the certification exam of professional investigators to all members so that every policeman can have their abilities recognized and approved as long as they have the demanded capabilities, and create a system of shedding off the members idle at work by reflecting low performance records when evaluating the members to decide who to dismiss from Police Investigation Specialization. And finally, it's important to divide duties rationally. The rationality of duties division can be guaranteed by setting the guidelines for direct handling for the team leader to help him devote himself to his duties, defining objective criteria of measuring investigation workload, and creating devoted systems and teams for simple and small accidents so that experienced investigators can deal with high-profile cases.