• School Mathematics
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• v.17 no.1
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• pp.65-78
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• 2015

This study has analyzed the effect of graph activity using CBR on the graphic ability through the observation on the 4 math-gifted 5th grade students. The study had designed the graph activity class using CBR based on the theories of graph and progressed it twice for 40 minutes, respectably. The recorded videos of the classes and the interviews of students were collected for analyzing the data, and 2 weeks later, post inspection using the same questionnaire was held for the comparative analysis on the errors that the students had made in the interpretation of the graph. According to the results of this study, the students were able to understand the flow change of the graph, interpret the relationship between variables, and contextualize the dependent variables.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.557-580
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• 2017

The purpose of this study is developing the manifestation process model of group creativity among mathematically gifted students. Therefore, I designed the manifestation process model of group creativity by researching the existing literatures on group creativity and mathematical creativity. The manifestation process model of group creativity was applied to mathematically gifted students' class. By analyzing students' response, the manifestation process model of group creativity was improved and concretized. In conclusion, the process of a combination of contributions was concretized and the major variables on group creativity such as a diversity, conflict, emotionally supportive environment and social comparison were verified. In addition, some reflective processes was discovered from a case study.

• Journal of Educational Research in Mathematics
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• v.13 no.4
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• pp.429-446
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• 2003

Gu-il-jip is a mathematical book of Chosun dynasty in the 18c. It consists of nine chapters including more than 473 problems and their solutions. Analyzing the problems and their solutions, we can appreciate the mathematical researches by the professional mathematicians of Chosun. Especially, it is worth noting the followings: - units for measuring and decimal notations - $\pi$, area of circle, volume of sphere - naming the powers - counting rods - excess and deficit: calculation technique for excess-deficit relations among quantities - rectangular arrays: calculation technique for simultaneous linear equations - 'Thien Yuan' notation: method for representing equations - 'Khai Fang': algorithm for numerical solution of quadratic, cubic and higher equations Based on these analyses, some pedagogical applications are proposed.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.395-410
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• 2012

When planning lessons and developing materials about mathematical teaching and learning, we should condignly change and reconstruct contents and orders in light of ranks and connections between subject materials. Moreover teachers should teach mathematical concepts so that students might understand then not only independently and disjunctively but also relationally and reflectively. For this, teachers have to prepare thoroughly. By analyzing advanced research for mathematical connections, this study categorizes them according to two conditions: internal-external and content-formality. Through this, tactical aspect similarity and indistinguishability between mathematical external connections and mathematical internal connections have been identified. Based upon this fact, this study proposed the principles and the examples of tactical aspect on mathematical Internal Connetions.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.291-305
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• 2009

The purpose of this article is to formulate the base that mathematical thinking power can be improved through activating the metacognitive ability of students in the math problem solving process. The guidance material for activating the metacognitive ability was devised based on a body of literature and various studies. Two high school students used it in their math problem solving process. They reported that their own mathematical thinking power was improved in this process. And they showed that the necessary strategies and procedures for math problem solving can be monitored and controled by analyzing their own metacognition in the mathematical thinking process. This result suggests that students' metacognition does play an important role in the mathematical thinking process.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.1
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• pp.121-131
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• 2000

Melt flow, heat and mass transfer of oxygen have been analyzed numerically in the process of Czochralski single crystal growth of silicon under the influence of misaligned cusp magnetic fields. Since the silicon melt in a crucible for crystal growth is of high temperature and of highly electrical-conducting, experimentation method has difficulty in analyzing the behavior of the melt flow. A set of simultaneous nonlinear equations including Navier-Stokes and Maxwell equations has been used for the modelling of the melt flow which can be regarded as a liquid metal. Together with the melt flow which forms the Marangoni convection, a flow circulation is observed near the comer close both to the crucible wall and the free surface. The melt flow tends to follow the magnetic lines instead of traversing the lines. These flow characteristics helps the flow circulation exist. Mass transfer characteristics influenced by the melt flow has been analyzed and the oxygen absorption rate to the crystal has been calculated and turned out to be rather uniform than in the case of an aligned magnetic field.

• Bulletin of the Korean Mathematical Society
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• v.49 no.5
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• pp.961-987
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• 2012

A compartment model of the flow driven by pumping without valves (valveless pumping) in an open tank system is proposed. By the open tank system, we mean that two rigid cylindrical tanks are connected with an elastic tube. An incompressible fluid fills this system up to a certain level in tanks under the gravity. The compartment model for analyzing such open system is derived from the energy principle which will be called the energy conserving compartment model or shortly the ECCM. Based on this ECCM of valveless pumping, we explore the occurrence of directional net flow or directional net power by a specific excitation at an asymmetric part of the elastic tube. The interaction between deformable elastic tube and the fluid inside is considered in the ECCM. The reliability of the ECCMis investigated through some physical examples. The ECCM shows the existence of directional net power of the valveless pump system with open tanks and confirms that the direction and magnitude of the net power depend on the pumping frequency as well. Furthermore, the phase synchronization in time between the fluid pressure difference and the external pinching force over the pumping region is highly related to the direction of energy storing or net power.

• Journal of the Korean School Mathematics Society
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• v.12 no.2
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• pp.281-308
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• 2009

In the process of solving a linear equation, some questions had equal sign('=') relation properly, while other questions did not have equal sign('=') relation properly. Since whether students could express equal sign('=') relation properly or not is determined by questions, the direction for teaching should be instituted, and instruction and teaching should be conducted by comparing and analyzing after conducing tests on may items. Most of students who got the answer for items without the method of solving a linear equation solved the items using binomial. For questions asking to solve using the characteristic of equality, most of students solved the questions using binomial instead of using the characteristic of equality. Therefore, instruction and learning to solve equations using both the characteristic of equality and binomial have to be achieved.

• Journal of Engineering Education Research
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• v.20 no.6
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• pp.61-67
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• 2017

The purpose of this study is to find out the factors that have an effect on students, especially in the natural science track, would enter the college of Engineering. For this, the data of KEEP was used, and logistic regression was utilized for analyzing this data. The dependent variables are 'Entering the college of engineering' and 'No entering the college of engineering'. The probable independent variables are 'Sex', 'Interest in mathematics', 'mathematics study achievement', 'Interest in Science', 'Science study achievement', 'The area of book that is read', 'The area of club', 'Knowing about working environment and task of the job' and 'Knowing about prospect and wage of the job'. The results are as follows. These are 'Sex', 'Knowing about working environment and task of the job', 'Knowing about prospect and wage of the job' that affect statistically entering the college of engineering. In other words, the male student who know working environment, task, prospect and wage of the job well may enter the college of Engineering.

• School Mathematics
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• v.13 no.1
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• pp.207-227
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• 2011

This study developed a statistical thinking level with constructs framework from based on Jones, Thornton, Langrall, & Mooney (2000) to analyze the 6th graders' thinking level shown on their survey activities. It was modified by 5 constructs framework such as collecting, describing, organizing, representing, and analyzing and interpreting data with four thinking levels, which represent a continuum from idiosyncratic to analytic reasoning. As a result, among four levels such as idiosyncratic level (level 1), transitional level (level 2), quantitative level (level 3), and analytical level (level 4), levels of two through four are shown on statistical thinking levels in this study.