• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권3호
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• pp.203-218
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• 2018

An old result of Whitehead says that the set of derivations of a group with values in a crossed G-module has a natural monoid structure. In this paper we introduce derivation of crossed polymodule and actor crossed polymodules by using Lue's and Norrie's constructions. We prove that the set of derivations of a crossed polygroup has a semihypergroup structure with identity. Then, we consider the polygroup of invertible and reversible elements of it and we obtain actor crossed polymodule.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권3호
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• pp.219-227
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• 2018

In this paper, we solve the additive ${\rho}$-functional equations $$(0.1)\;f(x+y)+f(x-y)-2f(x)={\rho}\left(2f\left({\frac{x+y}{2}}\right)+f(x-y)-2f(x)\right)$$, where ${\rho}$ is a fixed non-Archimedean number with ${\mid}{\rho}{\mid}$ < 1, and $$(0.2)\;2f\left({\frac{x+y}{2}}\right)+f(x-y)-2f(x)={\rho}(f(x+y)+f(x-y)-2f(x))$$, where ${\rho}$ is a fixed non-Archimedean number with ${\mid}{\rho}{\mid}$ < |2|. Furthermore, we prove the Hyers-Ulam stability of the additive ${\rho}$-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제23권3호
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• pp.135-147
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• 2020

What constitutes a good mathematics lesson plan? In their teacher education program, preservice teachers (PSTs) are trained for planning mathematics instruction but often have difficulty in evaluating existing lesson plans and creating their own lesson plans. The purpose of this narrative inquiry is to understand PSTs' experiences of evaluating or designing mathematics lessons that they perceive as being good. The narratives of three PSTs who pursue high school mathematics teaching certification will inform us not only of their perceptions of a good mathematics lesson and lesson plan but also their process of finding the one that exists or creating their own.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제23권3호
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• pp.149-164
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• 2020

This study aimed to establish an observation protocol for mathematical modeling as an alternative way to examine instructional alignment to the Common Core State Standards for Mathematics. The instructional alignment observation protocol (IAOP) for mathematical modeling was established through careful reviews on the fidelity of implementation (FOI) framework and prior studies on mathematical modeling. I shared the initial version of the IAOP including 15 items across the structural and instructional critical components as the FOI framework suggested. Thus, the IAOP covers what teachers should do and know for practices of mathematical modeling in classrooms and what teachers and students are expected to do. Based on the findings in this study, validity and reliability of the IAOP should be evaluated in follow-up studies.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제7권2호
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• pp.91-99
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• 2003

Isik & K$_1$l$_1$c (1998: Mathematics Education and its Appraising in the Primary School Teacher Certificate) found that many prospective mathematics teachers for primary schools who attended at newly established certificate programs made significant misconception on mathematics education because they were not graduates of education faculties. The levels of conceptual knowledge and procedural knowledge of students from a secondary school in Erzurum, Turkey were investigated in order to reveal how serious misconception the teachers have been made so far. The conceptual knowledge is very important to students, however in this research, it was found that procedural knowledge was much more important than conceptual knowledge.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제7권2호
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• pp.73-90
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• 2003

In the Republic of Korea, mathematics has always been a major blame for huge private expenditures on so-called "private education," which consists of private tutoring and lessons at "private academies of extra curricula." The private spending on out-of-school education often exceeded public expenditures on schools. In 1997, South Korean Ministry of Education reformed curriculum of mathematics along with other subjects to ease the burden of private education. The aim of this curriculum change was to put a boost on individual students' interests, affections and other attributes toward school mathematics. The essential distinctiveness of the new curriculum of mathematics compared with the previous one is as follows: 1. The implementation of so-called "differentiated curriculum" for grades 1-10. 2. 30% reduction of contents in mathematics and the reconciliation of contents. 3. Elective subjects for mathematics for grades 11 and 12. 4. More uses of technology in mathematics teaching. Firstly, we examine the background of the curriculum reform and analyze the new curriculum according to awareness of educational administrators, teaching environments of schools and readiness of mathematics teachers. Then we find out what kinds of problems it has and look for some suggestions for remedies.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제7권2호
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• pp.101-117
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• 2003

In this paper, we give examples of models we have created for use in university mathematics courses. We explain the concept of linear transformation, investigate the roles of each component of 2 ${\times}$ 2 and 3 ${\times}$ 3 transformation matrices, consider the relation between sound and trigonometry, visualize the Riemann sum, the volume of surfaces of revolution and the area of unit circle. This paper illustrates how one can use Mathematica to visualize abstract mathematical concepts, thus enabling students to understand mathematics problems effectively in class. Development of these kinds of teaching and learning models can stimulate the students' curiosity about mathematics and increase their interest.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권1호
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• pp.19-30
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• 2004

This research applies the discursive approach to investigate the social transformation of students' conceptual model of differential equations. The analysis focuses on the students' use of metaphor in class in order to find kinds of metaphor used, their characteristics, and a pattern in the use of metaphor. Based on the analysis, it is concluded that the students' conceptual model of differential equations gradually becomes transformed with respect to the historical and cultural structure of the communal practice of mathematics. The findings suggest that through participating in the daily practice of mathematics as a historical and cultural product, a learner becomes socially transformed to a certain kind of a cultural being with historicity. This implies that mathematics education is concerned with the formation of historical and cultural identity at a fundamental level.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권1호
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• pp.39-58
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• 2004

The School of Mathematical Sciences at University Sains Malaysia has offered a laboratory course on the integration of hand-held technology into the teaching and learning of mathematics since the beginning of the 2001/2002 academic year. This inquiry-based course highlights the explorations and application of mathematics in a data rich modeling environment. In addition, the course addresses several issues related to the effective integration of such technology into the mathematics curriculum. This paper discusses the appropriate use of graphing technology to present mathematical concepts and to support student's understanding in a student-centered learning environment, shares knowledge on the new mathematics that was made possible by hand-held technology, and summarizes student reactions to this innovative learning mode.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제8권1호
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• pp.31-37
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• 2004

This study explores the relations between mathematics and the natural human language. At the very outset, a general definition of language was, given while it was attempted to make some comparisons between the words of natural language and mathematical symbols at that. Besides, the occupation of natural language functions within mathematics was handled. Consequently, it was tried to manifest that the language of mathematics enjoys the features of natural language as well. Mathematics makes use of many functional and structural features. The fact that fundamental ingredient of mathematics is symbols does not change this reality.