• 한국수학교육학회지시리즈D:수학교육연구
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• 제19권4호
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• pp.247-265
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• 2015

Mathematics textbook plays a significant role in shaping students' learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students' learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students' learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제20권3호
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• pp.237-252
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• 2017

4차 산업혁명시대는 수학교육의 방향도 크게 흔들어 놓고 있다. 특히 수학이 다양한 영역에 어떻게 적용되고, 활용될 수 있는지 인식하는 융합 역량이 중요한 시점이다. 이에 본 연구에서는 융합에 대한 관점을 고찰하고, 수학교실에서 활용 가능한 융합 프로그램의 개발을 위한 수학적 탐색을 연구 목적으로 한다. 구체적으로 고대 이슬람 건축물에 사용된 기리 타일을 수학적 관점에서 분석하고, 이를 바탕으로 수학과 다자인 융합 교육을 위한 수학적 탐색을 실시한다. Roger Penrose 보다 500년이나 앞서 만든 기리 타일링의 수학적 분석을 통해 디자인에 대한 이해 및 수학의 활용성과 수학을 통한 타학문의 융합 가능성에 대한 이해의 폭이 넓어지기를 기대한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제56권4호
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• pp.365-385
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• 2017

This study aims to explore mathematics teachers' pedagogical design capacity. For this purpose, we googled and collected 327 lesson plans for middle-school mathematics and investigated how mathematics teachers plan and design their mathematics lessons through the format and structures, objectives and mathematical tasks, anticipation for students' thinking, and assessment and technology use. The findings from the data analysis suggest as follows: a) all the lesson plans are structured in a very similar way; b) the lesson plans seem to be based on the textbooks exclusively, that is, the mathematical tasks and flow is strictly followed and kept in the lesson plans in the way the textbooks suggested; c) the lesson plans do not include any evidence of what teachers anticipate for students' thinking and would do to resolve the students' issues; and d) the lesson plans do not contain any specific plans to assess students' thinking processes and reasoning qualitatively, and not intend to use technology in order to promote effective teaching and meaningful understanding.

• 호남수학학술지
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• 제24권1호
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• pp.109-119
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• 2002

Some sufficient conditions on the existence and uniqueness of certain symmetric balanced incomplete block design are introduced. Also, a construction algorithm for the design and some examples are presented. The algorithm is developed based on the construction of subspaces of the three-dimensional vector space over a field.

• International Journal of Contents
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• 제17권2호
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• pp.9-19
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• 2021

The purpose of this survey-based study was to investigate high school students' perceptions of mathematics teachers' implementation of Universal Design for Learning (UDL)-based practices and technology in their mathematics classes in 2017. A total of 303 high school students in South Korea participated in this online survey on teachers' use of technology for instructional practices, the frequency of technology tool use, and the meeting of UDL guidelines in mathematics instruction. According to frequency analysis, high school students generally perceived their teachers' mathematics teaching as somewhat positive in providing multiple means of representation, action and expression, and engagement. However, mathematics teachers' implementation of technology tools in their mathematics classes was generally limited. This study indicated significant and positive relationships between variables regarding the use of technology tools and teachers' efforts to follow the UDL guidelines. Applying the Chi-squared test, we further examined how each survey result differed according to high school students' academic achievements and grade levels.

• 한국멀티미디어학회논문지
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• 제20권6호
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• pp.935-949
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• 2017

The purpose of this study was to analyze the characteristics of virtual manipulatives apps that can be used to teach students struggling to learn mathematics. To achieve this goal, ten general characteristics of 23 virtual manipulatives apps were evaluated. The instructional, interface, and interactive design features of apps were also evaluated on five-point scale ratings of 18 items. In addition, SPSS frequency analysis and the correlation between each feature was analyzed. Frequently presented instructional contents among 23 virtual manipulatives apps were geometry, arithmetic operation, number concept and measurement. The frequently presented level of instructional contents was lower grade elementary school and kindergarten age. The frequently presented instructional type was the simulation. Regarding the design features, instructional design was rated as the highest (mean = 3.7); interactive design (mean = 3.6) and interface design (mean = 3.3) were also rated higher than neural. In addition, as the learning strategy was appropriately presented, it was evaluated that there was less screen linkage and content error.

• 한국학교수학회논문집
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• 제23권1호
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• pp.159-177
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• 2020

교육 분야의 연구자들은 학교 수업의 질을 결정하는 교사의 수업전문성을 신장시키고자 교사의 수업 설계 능력에 지속적으로 관심을 가지고 이와 관련한 연구들을 다양하게 수행해왔다. 이에 본 연구는 학교현장실습에 참여한 예비수학교사들이 수업을 수행한 후, 계획하였던 교수·학습 과정안을 재구성함으로써 나타난 수업 설계의 변화를 탐색하였다. 그 결과, 예비수학교사들이 작성한 교수·학습 과정안에서 도입단계의 학습동기 유발, 전개단계의 학습내용 제시, 정리단계의 형성평가에 대한 재구성이 가장 높은 비율로 나타났고, 재구성한 내용의 범주는 교과내용과 교수·학습 방법 측면에서 집중적으로 나타났다. 이는 예비수학교사들의 수업 설계 및 수행의 경험 부족을 원인으로 볼 수 있어 예비교사 양성과정에서 교수의 실제적인 측면을 고려한 수업을 설계하고 수행할 기회를 충분히 제공해야 함을 시사한다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제23권2호
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• pp.313-325
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• 2009

본 논문에서는 멘토와 학습자 사이에 멘토링이 원활하게 이루어질 수 있도록 돕는 사이버 수학멘토링 시스템의 설계를 다룬다. 온라인과 오프라인 활동을 고려하여 학생들의 흥미, 참여와 학습 동기를 유도하는 다양한 장치들에 대하여 이론적 배경을 살펴보고, 그러한 장치들을 사용하여 설계된 사이버 수학멘토링 시스템을 소개한다. 그리고 이러한 사이버 수학멘토링 시스템이 학습자와 멘토, 예비수학교사 및 현직교사에게 주는 의미에 대하여 논한다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제6권2호
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• pp.159-170
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• 2002

The undergraduate curriculum in differential equations has undergone important changes in favor of the visual and numerical aspects of the course primarily because of recent technological advances. Yet, research findings that have analyzed students' thinking and understanding in a reformed setting are still lacking. This paper discusses an ongoing developmental research effort to adapt the instructional design perspective of Realistic Mathematics Education (RME) to the teaching and learning of differential equations at Ewha Womans University. The RME theory based on the design heuristic using context problems and modeling was developed for primary school mathematics. However, the analysis of this study indicates that a RME design for a differential equations course can be successfully adapted to the university level.

• Steel and Composite Structures
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• 제27권3호
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• pp.297-310
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• 2018

A simple and efficient numerical optimization approach for the lightweight optimal design of composite laminated beams is presented in this paper. The proposed procedure is a combination between the finite element method (FEM) and a global optimization algorithm developed recently, namely Jaya. In the present procedure, the advantages of FEM and Jaya are exploited, where FEM is used to analyze the behavior of beam, and Jaya is modified and applied to solve formed optimization problems. In the optimization problems, the objective aims to minimize the overall weight of beam; and fiber volume fractions, thicknesses and fiber orientation angles of layers are selected as design variables. The constraints include the restriction on the first fundamental frequency and the boundaries of design variables. Several numerical examples with different design scenarios are executed. The influence of the design variable types and the boundary conditions of beam on the optimal results is investigated. Moreover, the performance of Jaya is compared with that of the well-known methods, viz. differential evolution (DE), genetic algorithm (GA), and particle swarm optimization (PSO). The obtained results reveal that the proposed approach is efficient and provides better solutions than those acquired by the compared methods.