• Communications of Mathematical Education
• /
• v.30 no.3
• /
• pp.375-392
• /
• 2016

The purpose of this study is to provide a philosophical reflection on mathematical process consistently emphasized in our curriculum and to stress the importance of sharing creativity and its applicability to the mathematical process with the value of sharing and participation. For this purpose, we describe five stages of changing process in a peer mentoring teaching method conducted by a teacher who taught this method for 17 years with the goal of sharing creativity and examine components of mathematical process and their impact on it in each stage based on learning environment, learning process, and assessment. Results suggest that six principles should be underlined and considered for students to be actively involved in mathematical process. After analyzing changes in the five stages of the peer mentoring teaching method, the five principles scrutinized in mathematical process are the principles of continuous interactivity, contextual dependence, bidirectional development, teacher capability, and student participation. On the basis of these five principles, the principle of cooperative creativity is extracted from effective changes of mathematical process as a guiding force.

• The Mathematical Education
• /
• v.21 no.2
• /
• pp.15-16
• /
• 1983

Teachers and supervisors need to utilize desired principles of learning in developing a mathematics curriculum. Optimal progress in mathematics is a relevant general objective to achieve in the school and class setting.

• 전자공학회논문지 IE
• /
• v.48 no.1
• /
• pp.36-44
• /
• 2011

The purpose of this study was to develop the basic design principles for the engineering mathematics teaching model that supported college students to become collaborative problem solvers. For this purpose, the following four design principles were drawn from the steps of systems approach, especially with consideration of needs of engineering students, professors, curriculum and relevant research on mathematical education. As a result, the four design principles for the engineeering mathematics teaching model were drawn as follows: (1) Improve students' basic mathematical learning abilities through repetition and elaborative practice of the basic mathematical concepts and principles, (2) Develop students' problem solving abilities through collaborative projects or learning activities with peers, (3) Facilitate students' reflection and provide teacher's monitoring and prompt feedback during their learning process, and (4) Build up online learning environments that enable students to become self-regulated learners.

• International Journal of Computer Science & Network Security
• /
• v.21 no.12spc
• /
• pp.443-450
• /
• 2021

The study is devoted to the formation of a economic principles cargo delivery management in global supply chains. Mathematical model of delivering special categories of goods by road is a key element of these principles. The article analyzes the existing studies on solving the problem of cargo delivery in various aspects. It was noted that the greatest attention is paid to legal regulation, last mile delivery, optimization of routes and delivery schemes, information support, technological innovations, cluster routing, etc. In the developed mathematical model a minimum of total costs of forming loading units and freight shipments was defined as the criterion of optimality of organizing delivery by motor transport. The authors propose the creation of logistics clusters allowing the integration of urban transport flows and global supply chains.

• Journal for History of Mathematics
• /
• v.25 no.1
• /
• pp.57-70
• /
• 2012

We will research the elementary formal logic and mathematical concept represented in Mojing, and focus on the ancient Chinese's mathematical principles implicit in Mojing. Moreover, the mathematical significance and values of Mojing are examined.

• Journal of the Korean Mathematical Society
• /
• v.45 no.3
• /
• pp.757-769
• /
• 2008

This paper deals with the existence of optimal controls and maximal principles for semilinear evolution equations with the nonlinear term satisfying Lipschitz continuity. We also present the necessary conditions of optimality which are described by the adjoint state corresponding to the linear equations without a condition of differentiability for nonlinear term.

• Communications of Mathematical Education
• /
• v.18 no.2 s.19
• /
• pp.265-276
• /
• 2004

In this study we in detail analyze Kolmogorov's viewpoint of mathematical abilities, and conclude that school geometry plays important role in developing and upbringing mathematical abilities. We discuss meanings of school geometry in gifted students education, and draw didactical principles concerned with gifted students education. We suggest some geometrical materials which aim for developing and upbringing mathematical abilities.

• The Mathematical Education
• /
• v.42 no.5
• /
• pp.637-646
• /
• 2003

Visual representation is very important topic in Mathematics Education since it fosters understanding of Mathematical concepts, principles and rules and helps to solve the problem. So, the purpose of this paper is to analyze and clarify the various meaning and roles about the visual representation. For this purpose, I examine the status of the visual representation. Since the visual representation has the roles of creatively mathematical activity, we emphasize the using of the visual representation in teaching and learning. Next, I examine the errors in relation to the visual representation which come from limitation of the visual representation. It suggests that students have to know conceptual meaning of the visual representation when they use the visual representation. Finally, I suggest some examples of problem solving via the visual representation. This examples clarify that the visual representation gives the clues and solution of problem solving. Students can apprehend intuitively and easily the mathematical concepts, principles and rules using the visual representation because of its properties of finiteness and concreteness. So, mathematics teachers create the various visual representations and show students them. Moreover, mathematics teachers ask students to design the visual representation and teach students to understand the conceptual meaning of the visual representation.

• Honam Mathematical Journal
• /
• v.34 no.3
• /
• pp.439-449
• /
• 2012

In a recent paper, M. Balaj [B] established an alternative principle. The principle was applied to a matching theorem of Ky Fan type, an analytic alternative, a minimax inequality, and existence of solutions of a vector equilibrium theorem. Based on the first author's fixed point theorems, in the present paper, we obtain generalizations of the main result of Balaj [B] and their applications.

• Bulletin of the Korean Mathematical Society
• /
• v.51 no.5
• /
• pp.1399-1409
• /
• 2014

In this article, we establish the $\mathfrak{F}_p$-uniform moderate deviation principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.