• School Mathematics
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• v.10 no.1
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• pp.63-78
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• 2008

This research studied the role of images between visual thinking and analytic thinking to contribute to the ongoing discussion of visual thinking and analytic thinking and images in mathematics education. In this study, we investigated the thinking processes of mathematically gifted students who solved tasks generalizing patterns and we analyzed how images affected problem solving. We found that the students constructed concrete images of each cases and dynamic images and pattern images from transforming the concrete images. In addition, we investigated how images were constructed and transformed and what were the roles of images between visual thinking and analytic thinking. The results showed that images were constructed, transformed, and sophisticated through interaction of visual thinking and analytic thinking. And we could identify that images played central roles in moving from visual thinking to analytic thinking and from analytic thinking to visual thinking.

• Korean Educational Research Journal
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• v.38 no.2
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• pp.81-108
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• 2017

The purpose of this study is to develop a standardized learning model for a free-learning semester, and to provide a practical framework of its curriculum. This paper is a state-funded study to design an instructional model for the free-learning semester. Instructional models that have been implemented in the practical school were constructed through collecting opinions from school teachers. The instructional model for a free-learning semester in this current study is a modification of the existing learning model into the Learning (Meaningful reception learning)-Practice-Production stage. These are designed to reflect the UNESCO proposals that emphasize knowledge, skills, and character, respectively. It is not easy to construct the instructional model for the free-learning semester activities. A three-step strategy that encompasses the UNESCO proposals will be a useful framework for teachers to systematically design and implement free-learning semester teaching.

• Journal of Korean Home Economics Education Association
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• v.22 no.2
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• pp.101-113
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• 2010

The purpose of this study is to develop and evaluate the practical problem-based lesson plan for high school home economics class focusing on consumer choice of genetically modified(GM) food. The ADDIE instructional design model was applied. The first analysis step, practical problems were chosen based on the previous studies and the educational goal suggested in the 2007 revised curriculum. The next design and development steps, 4 hours of lesson plans were developed by reconstitution a chapter of Food Safety. Additional learning materials(17 student activity papers, 17 student reading materials, 3 teacher reading materials) were also developed. The implementation step, the lesson plans developed were applied to the S high school students in Bundang, Geyonggi-do. The last evaluation step, the perception change about GM food and the adequacy of teaching method were evaluated. As results, the studens' attitudes and minds towards the GM food were changed. The level of concern on GM food increased, and the ratio of students who would check whether GM food or not was increased. Also students showed high level of satisfaction on teaching method and materials.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.257-273
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• 2018

In this paper, we deal with the isoprimetric problem of polygons from the point of view of learning materials for elementary gifted students. The isoperimetric problem of the polygon of odd degree can be solved by E-transformation(see Figure III-1) and M-transformation(see Figure III-3). But in the case of even degree's polygon, it is quite difficult to solve the problem because of the connected components of diagonals (here we consider the diagonals forming triangle with two adjacent sides of polygon). The primary purpose of this paper is to give an idea to solve the isoperimetric problem of polygons of even degree using the properties of ellipse. This idea is derived from the programs of the Institute of Science Education for Gifted Students in the Jeju National University.

• Korean Journal of Cognitive Science
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• v.28 no.4
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• pp.315-328
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• 2017

Even though assessment using information and communication technology will most likely lead the future of educational assessment, there is little domestic research on this topic. Computerized assessment will not only cut costs but also measure students' performance in ways not possible before. In this context, this study introduces a tool which can overcome the problems of multiple choice tests, which are most widely used type of assessment in current Korean educational setting. Multiple-choice tests, in which options are presented with the questions, are efficient in that grading can be automated; however, they allow for students who don't know the answer, to find the correct answer from the options. Park(2005) has developed a modified multiple-choice testing system (CMMT) using the interactivity of computers, that presents questions first, and options later for a short time when the student requests for them. The present study was conducted to find out if penalizing wrong answers could lower the possibility of students choosing an answer among the options when they don't know the correct answer. 116 students were tested with the directions that they will be penalized for wrong answers, but not for no response. There were 4 experimental conditions: 2 conditions of high or low percentage of penalizing, each in traditional multiple-choice or CMMT format. The results were analyzed using a two-way ANOVA for the number of no response, the test score and self-report score. Analysis showed that the number of no response was significantly higher for the CMMT format and that test scores were significantly lower when the penalizing percentage was high. The possibility of applying CMMT format tests while penalizing wrong answers in actual testing settings was addressed. In addition, the need for further research in the cognitive sciences to develop computerized assessment tools, was discussed.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.1
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• pp.161-194
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• 2017

The aim of this study is to look into sub-factors of spatial sense that can be contained in spatial sense of solid figure of mathematics curriculum and offer suggestions to improve teaching spatial sense of solid figures in the future. In order to attain these purposes, this study examined the meaning and sub-factors of spatial sense and the relations between spatial sense of solid figure and sub-factors of spatial sense through a theoretical consideration regarding various studies on spatial sense. Based on such examination, this study compared and analyzed textbooks used in South Korea, Finland and the Netherlands with respect to contents of mathematics curriculum and textbooks in grades, sub-factors of spatial sense, and realistic contexts for spatial sense of solid figure. In the light of such theoretical consideration and analytical results, this study provided suggestions for improving teaching spatial sense of solid figures in elementary schools in Korea as follows: extending contents regarding spatial sense of solid figures in mathematics curriculum and considering continuity between grades in textbooks, emphasizing spatial orientation as well as spatial visualization, underlining not only construction with blocks but also mental activities in mental rotation and mental transformation, comparing strength and weakness of diverse plane representations of three dimensional objects, and utilizing various realistic situations and objects in space.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.429-448
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• 2013

The aim of this study was to examine how analogical mapping articulation activity played a role in solving process in word problems. We analyzed the problem solving strategies and processes that the participating thirty-three 8th grade students employed when solving the problems through analogical mapping articulation activities, and also the characteristics of the thinking processes from the aspects of similarity. As a result, this study indicates that analogical mapping articulation activity could be helpful when the students solved similar word problems, although some of them gained correct answers through pseudo-analytic thinking. Not to have them use pseudo-analytic thinking, it might be necessary to help them recognize superficial similarity and difference among the problems and construct structural similarity to know the principle of solution associated with the problematic situations.

• Journal of the Korean Institute of Educational Facilities
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• v.20 no.4
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• pp.35-43
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• 2013

Some results of experimental investigation conducted to assess the effect of cement composite strength and ductility on the shear behavior and crack-damage mitigation of stud connections between existing reinforced concrete frame in school buildings and seismic strengthening elements from cyclically direct shear tests are described. The cement composite strengths include 50 for medium strength and 70 MPa for high strength. Two types of cement composites, strain-hardening cement composite (SHCC) and non-shrinkage mortar, are used for stud shear connection specimens. The special SHCCs are reinforced with hybrid 0.2% polyethylene (PE) and 1.3% polyvinyl alcohol (PVA) fibers at the volume fraction and exhibits tensile strain capacity ranging from 0.2 to 0.5%. Test result indicates that SHCC improves the seismic performance and crack-damage mitigation of stud shear connections compared with stud connections with non-shrinkage mortar. However, the performance enhancement in SHCC stud connections with transverse and longitudinal reinforcements is less notable for those without additional reinforcement.

• Journal of the Korea Computer Graphics Society
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• v.30 no.3
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• pp.189-198
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• 2024

Research combining deep learning-based models and physical simulations is making important advances in the medical field. This extracts the necessary information from medical image data and enables fast and accurate prediction of deformation of the skeleton and soft tissue based on physical laws. This study proposes a system that integrates Neural Radiance Fields (NeRF), Position-Based Dynamics (PBD), and Parallel Resampling to generate 3D volume data, and deform and visualize them in real-time. NeRF uses 2D images and camera coordinates to produce high-resolution 3D volume data, while PBD enables real-time deformation and interaction through physics-based simulation. Parallel Resampling improves rendering efficiency by dividing the volume into tetrahedral meshes and utilizing GPU parallel processing. This system renders the deformed volume data using ray casting, leveraging GPU parallel processing for fast real-time visualization. Experimental results show that this system can generate and deform 3D data without expensive equipment, demonstrating potential applications in engineering, education, and medicine.

• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.45-61
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• 2009

The powerful role of analogical reasoning in discovering mathematics is well substantiated in the history of mathematics. Mathematically gifted students, thus, are encouraged to learn via in-depth exploration on their own based on analogical reasoning. In this study, 57 gifted students (31in the 7th and 26 8th grade) were asked to formulate or clarify analogy. Students produced fruitful constructs led by analogical reasoning. Participants in this study appeared to experience the deep thinking that is necessary to solve problems made with analogies, a process equivalent to the one that mathematicians undertake. The subjects had to reflect on prior knowledge and develop new concepts such as an orthogonal projection and a point of intersection of perpendicular lines based on analogical reasoning. All subjects were found adept at making meaningful analogues of a triangle since they all made use of meta-cognition when searching relations for analogies. In the future, methodologies including the development of tasks and teaching settings, measures to evaluate the depth of mathematic exploration through analogy, and research on how to promote education related to analogy for gifted students will enhance gifted student mathematics education.