• Title/Summary/Keyword: college mathematics education

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SYSTEM OF GENERALIZED MULTI-VALUED RESOLVENT EQUATIONS: ALGORITHMIC AND ANALYTICAL APPROACH

  • Javad Balooee;Shih-sen Chang;Jinfang Tang
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.785-827
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    • 2023
  • In this paper, under some new appropriate conditions imposed on the parameter and mappings involved in the resolvent operator associated with a P-accretive mapping, its Lipschitz continuity is proved and an estimate of its Lipschitz constant is computed. This paper is also concerned with the construction of a new iterative algorithm using the resolvent operator technique and Nadler's technique for solving a new system of generalized multi-valued resolvent equations in a Banach space setting. The convergence analysis of the sequences generated by our proposed iterative algorithm under some appropriate conditions is studied. The final section deals with the investigation and analysis of the notion of H(·, ·)-co-accretive mapping which has been recently introduced and studied in the literature. We verify that under the conditions considered in the literature, every H(·, ·)-co-accretive mapping is actually P-accretive and is not a new one. In the meanwhile, some important comments on H(·, ·)-co-accretive mappings and the results related to them appeared in the literature are pointed out.

Development and Application of Elementary Information Security Education STEAM Program through Simulation Hacking Play Activities (모의해킹 놀이 활동을 통한 초등 정보보호교육 STEAM 프로그램 개발 및 적용)

  • Park, Namje
    • Journal of The Korean Association of Information Education
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    • v.20 no.3
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    • pp.273-282
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    • 2016
  • The new STEAM program suggested in this paper aims at helping students to have interest in information security engineering experts and to design their career creatively through the project on future promising career. The program was designed to help teachers and students understand the jobs and capabilities required for information security experts through direction and execution of the information security expert project. Teaching tools of information security through simulation hacking play activities based on hexagon cell is designed to provide students with the chance to indirectly experience the job of a computer security expert through an unplugged education. Because the content of cyber security is unfamiliar and difficult to understand, the program is designed to allow students to access the key principle of the job, rather than to describe the technical part. Using this program, students will be able to communicate with each other to solve the problems, to have interest in computer security experts, and to design their careers in a creative manner.

Understanding Instructor's Challenges of Content Based Instruction : For Pre-service Teachers in Early Childhood Education (내용기반 교수법을 근거로 예비 유아교사 교육을 실시한 교수자의 어려움)

  • Ahn, Hyo-Jin;Kim, Eunhyun
    • Korean Journal of Childcare and Education
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    • v.9 no.5
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    • pp.181-200
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    • 2013
  • This study aimed at exploring how an instructor constructs meanings through content-based instruction (CBI) offered to pre-service teachers majoring in early childhood education. The course, early childhood mathematics education, was conducted during the spring semester in 2011. This study adopted a narrative inquiry, and data were collected through observations, interviews, and work samples. This study found that during the whole process from the preparation phase to the end-of-program evaluation, the instructor captured diverse challenging moments. During the preparation phase, she needed to have careful orchestration in designing lessons in order to overcome her feeling of pressure as a non-native speaker of English and design the integration of contents and English language learning to be truly powerful. In the phase of implementation, the lack of student motivation and building a good rapport between the instructor and the students were certainly challenges. The result of the student evaluations weakened her desire to implement CBI. The instructor incorporated diverse instructional strategies to overcome the obstacles. The instructor's experiences in this study will positively shape future educators' thinking and learning about meaningful and appropriate academic English instruction for content-area teaching of college students who were majoring in early childhood education.

An analysis of the curriculum on inequalities as regions: Using curriculum articulation and mathematical connections (부등식의 영역 교육과정 분석: 고교-대학수학의 연계 및 수학적 연결성을 중심으로)

  • Lee, Song Hee;Lim, Woong
    • The Mathematical Education
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    • v.59 no.1
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    • pp.1-15
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    • 2020
  • In this paper, we analyzed curriculum materials on inequalities as regions. Constructs such as mathematical connections and curriculum articulation were used as a framework. As for articulation, our findings indicate the topic of inequalities as regions addresses meaningful subordinate mathematical thinking and skills that serve prerequisite to calculus. Regarding connections, mathematical concepts involving inequalities extend to multivariate calculus. One implication is, as an unintended consequence of curricular decision of 2015 Revised National Curriculum to teach the topic only in mathematical economics, students who plan to study STEM subjects in college but opt out of mathematics economics in high school may miss the key concept and naturally struggle to understand calculus especially the theory of multivariate function of calculus.

Service Innovation Readiness of Health Institutions during COVID-19: A Perspective from the Kingdom of Saudi Arabia

  • AKHTAR, Nadeem;ALTALHI, Hassen;AHMED, Ashfaque;MUSTAFA, Fakhar;MERAJ, Muhammad Asad
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.8
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    • pp.375-386
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    • 2021
  • The purpose of the research was to explore the factors which affect service innovation in organizations and how the utilization of resources can improve organizational performance, and gain a competitive advantage by adopting numerous innovative practices. This study hypothesizes Service Innovation Readiness (SIR) to consist of Strategic Alignment favoring Service Innovation (SASI) and Empowering Structure for Service Innovation (ESSI), which regulate the organization's preparedness to adopt service innovation changes. Six dimensions were identified and analyzed to understand their effects on SASI and ESSI. A structured questionnaire on a 5-point Likert scale was used to collect data from the selected hospitals of Saudi Arabia. The research results contribute considerably to the subject matter by theorizing SIR and the complex variable settings essential for embracing SI. This research also provides some understanding of the service innovation management dimension through a complete assessment that measures the organization's readiness and attempts to direct organizations' efforts to achieve and sustain competitive advantage. The study conducted is unique in the current geographic limits and has explored numerous SI areas of an organization's readiness to adopt service innovation.

Research on Covert Communication Technology Based on Matrix Decomposition of Digital Currency Transaction Amount

  • Lejun Zhang;Bo Zhang;Ran Guo;Zhujun Wang;Guopeng Wang;Jing Qiu;Shen Su;Yuan Liu;Guangxia Xu;Zhihong Tian;Sergey Gataullin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.18 no.4
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    • pp.1020-1041
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    • 2024
  • With the development of covert communication technologies, the number of covert communication technologies using blockchain as a carrier is increasing. However, using the transaction amount of digital currency as a carrier for covert communication has problems such as low embedding rate, large consumption of transaction amount, and easy detection. In this paper, firstly, by experimentally analyzing the distribution of bitcoin transaction amounts, we determine the most suitable range of amounts for matrix decomposition. Secondly, we design a novel matrix decomposition method that can successfully decompose a large amount matrix into two small amount matrices and utilize the elements in the small amount matrices for covert communication. Finally, we analyze the feasibility of the novel matrix decomposition method in this scheme in detail from four aspects, and verify it by experimental comparison, which proves that our scheme not only improves the embedding rate and reduces the consumption of transaction amount, but also has a certain degree of resistance to detection.

Two-year Follow-Up Study on Effects of STEAM Education Program Based on Physical Computing (2년간의 추적 연구를 통한 Physical Computing 기반의 STEAM 프로그램의 효과)

  • Kim, Sug Hee;Yu, Heon Chang
    • The Journal of Korean Association of Computer Education
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    • v.17 no.2
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    • pp.77-86
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    • 2014
  • By PISA 2007, TIMSS 2011, Korean high school students had high academic achievement to science and mathematics, while they had low attitude. Prospective college students are increasingly avoiding natural science and engineering. Moreover, the opportunities to learn to computer science in middle and high school are disappeared rapidly. The necessity of STEAM program based on Physical computing arise under these situation. Therefore, we developed STEAM program and studied the effects of the program in 2012. The result showed that students' scientific interests and attitude, scientific problem solving ability, scientific creative problem solving ability, personality test for children, and satisfaction of school life were enhanced. This study is follow-up study for the same students who improved every domain of the measurements. They were administerd pre-test at start of 2012, post-test at end of 2012, and delayed post-test at the end of 2013, on same test. The result of the study showed that only attitude to Scientific Inquiry was enhanced, but there was no significant result on the other domain of the test in comparison with start of 2012. But this result demonstrate the effect of STEAM education conversely.

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A Case Study on the 4-high Skeleton Tower Problem Solutions by the 3rd and 4th Graders in a Gifted Children in Math Selection Test (초등수학영재 선발시험에 응시한 3, 4학년생들의 4층 Skeleton Tower 문제해결에 대한 사례 연구)

  • Kim, Hae-Gyu
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.123-143
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    • 2010
  • The Skeleton Tower problem is an example of a curriculum that integrates algebra and geometry. Finding the number of the cubes in the tower can be approached in more than one way, such as counting arithmetically, drawing geometric diagrams, enumerating various possibilities or rules, or using algebraic equations, which makes the tasks accessible to students with varied prior knowledge and experience. So, it will be a good topic which can be used in the elementary grades if we exclude the method of using algebraic equations. The purpose of this paper is to propose some points which can be considered with attention by gifted children education teachers by analyzing the 4th Skeleton Tower problem solutions made by 3rd and 4th graders in their selection test who applied for the education of gifted children in math at J University for the year of 2010.

Predictors of Drug Dosage Calculation Error Risk in Newly Graduated Nurses (신규 졸업 간호사의 약물계산오류의 위험에 영향을 미치는 요인)

  • Kim, Myoung Soo;Kim, Jung Soon;Ha, Won Choon
    • Journal of Korean Biological Nursing Science
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    • v.16 no.2
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    • pp.113-122
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    • 2014
  • Purpose: This study was to identify predictors of drug dosage calculation error risk in newly graduated nurses. Methods: A total of 115 newly graduated nurses who passed their employment examination, but didn't work for hospital yet, were recruited from a university hospital. The data were analyzed by descriptive statistics, $X^2$-test, t-test, ANOVA, Pearson correlation coefficients, and stepwise multiple regression using the SPSS 18.0 program. Results: The mean score of 'drug dosage calculation ability' was $0.81{\pm}0.16$ and the mean score of 'certainty of calculation' was $2.95{\pm}0.60$ out of a 5 point scale. The error risk of drug dosage calculation was positively related to anxiety for drug dosage calculations (r=.388, p<.001), but negatively related to interest and confidence in mathematics (r=-.468, p<.001), confidence related to dosage calculations (r=-.426, p<.001). The main predictors of error risk related drug calculations in newly graduated nurses were identified as interest and confidence in mathematics (${\beta}$=-.468, p<.001). This factor explained about 21.9% of the variance in error risk of drug dosage calculation. Conclusion: The strategies used to decrease the error risk related drug dosage calculation such as improving interest and confidence in mathematics should be developed and implemented.

An Analysis of Novice Teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons (고등학교 미적분 수업에서 나타나는 초임교사의 교수를 위한 전문화된 수학 내용 지식(SCKT))

  • Koh, Hee Jeong;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.157-185
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    • 2013
  • This study was to investigate novice teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons. The lessons of two novice teachers in Kyunggi Do were observed from July, 2011 to Feb. 2012. All observed lessons were audeotaped and transcribed into word files. Their calculus lessons were analyzed into three kinds of knowledge consisting of SCKT. Their SCKT just copied the contents of the textbook and other additional SCKT were not found for teaching. Even though students asked a question that they did not understand, the teacher just repeated the previous contents that already he used. But this study included possible contents of SCKT within the areas these teachers covered so that teachers in school may use for teaching of Calculus. The novice teacher do not have sufficient experience, the program of the college of education and the contents of the teacher certificate-examination should include multi-dimensional approaches in SCKT to pre-service teachers in order to raise better specialized teachers in mathematics.

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