• Nonlinear Functional Analysis and Applications
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• v.28 no.4
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• pp.989-1004
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• 2023

In this paper, we are motivated to evaluate and investigate the necessary conditions for the fractional Volterra Fredholm integro-differential equation involving the ς-Hilfer fractional derivative. The given problem is converted into an equivalent fixed point problem by introducing an operator whose fixed points coincide with the solutions to the problem at hand. The existence and uniqueness results for the given problem are derived by applying Krasnoselskii and Banach fixed point theorems respectively. Furthermore, we investigate the convergence of approximated solutions to the same problem using the modified Adomian decomposition method. An example is provided to illustrate our findings.

• Journal of Information Technology Applications and Management
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• v.21 no.3
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• pp.65-77
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• 2014

Ubiquitous learning has aroused great interest and is becoming a new way for foreign language education in today's society. However, how to increase the learners' initiative and their community cohesion is still an issue that deserves more profound research and studies. Emotional intelligence can help to detect the learner's emotional reactions online, and therefore stimulate his interest and the willingness to participate by adjusting teaching skills and creating fun experiences in learning. This is, actually the new concept of smart education. Based on the previous research, this paper concluded a neural mechanism model for analyzing the learners' emotional characteristics in ubiquitous environment, and discussed the intelligent monitoring and automatic recognition of emotions from the learners' speech signals as well as their behavior data by multi-agent system. Finally, a framework of emotional intelligence system was proposed concerning the smart foreign language education in ubiquitous learning.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.163-192
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• 2018

The purpose of this study was to examine the relations among mathematics teachers' beliefs, classroom norms and discourse, and equity issues in mathematics classrooms. In order to achieve this purpose, three teachers who work in the same school were analyzed. The analysis revealed that the participating teachers' beliefs about mathematics teaching and learning and about their students' abilities and motivation influenced the establishment of classroom norms and discourses that defined what students needed to do to be successful mathematics learners. Also, classroom norms and discourse affected the development of students' identity and power and the level of equity in the classroom.

• International Journal of Computer Science & Network Security
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• v.21 no.4
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• pp.306-312
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• 2021

The main goal of higher education institutions is to present a high level of quality education to its students. This study uses data mining techniques to extract educational data from cumulative databases and used them to make the right decisions. This paper also aims to find the factors affecting students' academic performance in Majmaah University, KSA, during 2010 - 2017 period. The study utilized a sample of 6,158 students enrolled from two colleges, males and females. The results showed a high percentage of stumbling and dismissed between graduate and regular students where more than 62.5% failed to follow the plan. Only 2% of students scored distinction during their study of all graduated since their grade point average, secondary level, was statistically significant, where p<0.05. Dismissed percentage was higher among males. These results promoted some recommendations in which decision-makers could take them in considerations for better improvement of academic achievements: including of specialized programs to follow-up in regards to stumbling and failure. Utilization of different communication tools are needed to activate academic advisory for dismiss and dropout evaluation.

• Communications of Mathematical Education
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• v.25 no.4
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• pp.653-679
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• 2011

The objective of this study is to develop university-level program(UP) 'Statistics Curriculum'. The UP program is a Korean curriculum sponsored by the Ministry of Education and Technology, which offers standardized courses to high school students that are generally recognized to be equivalent to undergraduate courses in college. In this paper we analyze that various programs are being conducted currently in Korea and overseas related with University-level Program in mathematics. And we describe course of the study, mathematical objectives of developed statistics curriculum on the study.

• The Pure and Applied Mathematics
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• v.20 no.4
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• pp.233-242
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• 2013

Certain interesting single (or double) infinite series associated with hypergeometric functions have been expressed in terms of Psi (or Digamma) function ${\psi}(z)$, for example, see Nishimoto and Srivastava [8], Srivastava and Nishimoto [13], Saxena [10], and Chen and Srivastava [5], and so on. In this sequel, with a view to unifying and extending those earlier results, we first establish two relations which some double infinite series involving hypergeometric functions are expressed in a single infinite series involving ${\psi}(z)$. With the help of those series relations we derived, we next present two functional relations which some double infinite series involving $\bar{H}$-functions, which are defined by a generalized Mellin-Barnes type of contour integral, are expressed in a single infinite series involving ${\psi}(z)$. The results obtained here are of general character and only two of their special cases, among numerous ones, are pointed out to reduce to some known results.

• Journal of the Korean School Mathematics Society
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• v.24 no.3
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• pp.309-324
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• 2021

From the past to the present, general mathematics classes have pursued changes in the educational environment. However, due to the actual college education conditions, general lecture classes are taking place. In this study, we wanted to find teaching and learning methods that would help students in general lecture classes. As a result, one group that took notes about class content and provided feedback on individual tasks was more effective in math achievement than the group that provided feedback on the same task. In addition, one group who took notes on class content and provided feedback on individual assignments was more effective in math achievement than the group who took notes on class content and provided feedback on the same task.

• Journal of applied mathematics & informatics
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• v.40 no.5_6
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• pp.1137-1150
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• 2022

Consider the quantum algebra U_q(sl₂) over field 𝓕 (char(𝓕) = 0) with equitable generators x^±1, y and z, where q is fixed nonzero, not root of unity scalar in 𝓕. Let V denote a finite dimensional irreducible module for this algebra. Let Λ ∈ End(V), and let {A₁, A₂, A₃} = {x, y, z}. First we show that if Λ, A₁ is a Leonard pair, then this Leonard pair have four types, and we show that for each type there exists a Leonard pair Λ, A₁ in which Λ is a linear combination of 1, A₂, A₃, A₂A₃. Moreover, we use Λ to construct 𝚼 ∈ U_q(sl₂) such that 𝚼, A^-1₁ is a Leonard pair, and show that 𝚼 = I + A₁Φ + A₁ΨA₁ where Φ and Ψ are linear combination of 1, A₂, A₃.

• Journal of Korea Society of Digital Industry and Information Management
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• v.9 no.4
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• pp.111-118
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• 2013

Today, universities in Korea give a great effort to complement basic college scholastic ability of freshman. Maybe it could be unnecessary effort from university. However, we cannot just leave students who have poor academic performance about 10 to 30% in a university. Universities have to prepare to solve this problem. Thus government and universities investigate a lot of efforts but there is no guarantee. As a result, e-learning could be the best solution to complement poor academic performance of freshman and it also could be the best way to reduce financial burden of university. So, many universities introduce e-learning system and they also support professors to make e-learning content. We need to promote content usage and to improve overall operations. In this paper, we discuss poor academic performance problems under the current middle and high school education systems and review approaches to solve these problems. From this analysis, we propose the design of an effective e-learning system and a method of operation to complement students who achieve poor academic performance.

• The Transactions of the Korean Institute of Electrical Engineers P
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• v.52 no.3
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• pp.127-136
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• 2003

A point of doing this research is to give basic data for Junior college having matriculation resources in department of electricity majoring to the graduate students from technical high school in department of electricity. We have examined the effect of the 6th and the 7th educational curriculum and courses in department of electricity on technical high school and analyzed basic subjects of technical high school and detailed major basis subject of junior college in department of electricity by educational courses and mathematics education contents. Also we have examined tried to secure advantage of major studying on the basis of result of analysis.