• Journal of Practical Engineering Education
• /
• v.5 no.2
• /
• pp.177-183
• /
• 2013

In this paper we investigate the history of the education based on STEM which is one of the topics of teaching method of Mathematics and Science oriented to the student, Hand-on education be applying partly to college education and the case of the education of the subject "Mathematics and Science for Engineering" of Japan's college. The educational method based on STEM make the student to recognize by themselves the necessity of the mathematics in the study of the technological and engineering problem, and furthermore draw a conclusion which is the proper method to change from passive to positive the study attitude for the mathematics. But it is more or less unreasonable to apply directly to college education with not physical fusion but chemical fusion of S (science), T (technology), E (engineering) and M (mathematics). Therefore we make themselves to find T and E considered at graduation works. We propose Pseudo-STEM teaching method linking this recognition obtained through self-activity to the mathematics subject.

• Journal of Educational Research in Mathematics
• /
• v.9 no.1
• /
• pp.81-109
• /
• 1999

This study aims to reflect the basic principles and teaching-teaming principles of Realistic Mathematics Education in order to suppose an way in which mathematics as an activity is carried out in primary school. The development of what is known as RME started almost thirty years ago. It is founded by Freudenthal and his colleagues at the former IOWO. Freudenthal stressed the idea of matheamatics as a human activity. According to him, the key principles of RME are as follows: guided reinvention and progressive mathematisation, level theory, and didactical phenomenology. This means that children have guided opportunities to reinvent mathematics by doing it and so the focal point should not be on mathematics as a closed system but on the process of mathematisation. There are different levels in learning process. One should let children make the transition from one level to the next level in the progress of mathematisation in realistic contexts. Here, contexts means that domain of reality, which in some particular learning process is disclosed to the learner in order to be mathematised. And the word of 'realistic' is related not just with the real world, but is related to the emphasis that RME puts on offering the students problem situations which they can imagine. Under the background of these principles, RME supposes the following five instruction principles: phenomenological exploration, bridging by vertical instruments, pupils' own constructions and productions, interactivity, and interwining of learning strands. In order to reflect how to realize these principles in practice, the teaming process of algorithms is illustrated. In this process, children follow a learning route that takes its inspiration from the history of mathematics or from their own informal knowledge and strategies. Considering long division, the first levee is associated with real-life activities such as sharing sweets among children. Here, children use their own strategies to solve context problems. The second level is entered when the same sweet problems is presented and a model of the situation is created. Then it is focused on finding shortcomings. Finally, the schema of division becomes a subject of investigation. Comparing realistic mathematics education with constructivistic mathematics education, there interaction, reflective thinking, conflict situation are many similarities but there are alsodifferences. They share the characteristics such as mathematics as a human activity, active learner, etc. But in RME, it is focused on the delicate balance between the spontaneity of children and the authority of teachers, and the development of long-term loaming process which is structured but flexible. In this respect two forms of mathematics education are different. Here, we learn how to develop mathematics curriculum that respects the theory of children on reality and at the same time the theory of mathematics experts. In order to connect the informal mathematics of children and formal mathematics, we need more teachers as researchers and more researchers as observers who try to find the mathematical informal notions of children and anticipate routes of children's learning through thought-experiment continuously.

• Journal of the Korean earth science society
• /
• v.27 no.2
• /
• pp.130-139
• /
• 2006

Natural history museums used to be called an "informal learning institute". It is based on the assumption that their exhibition and exhibits are supposed to reflect school science curriculum and support school science programs. This study is to explore how this assumption is verified in terms of content-wise connections between school science and museum exhibits. In this study, 461 Earth Science related exhibits were selected from the Smithonian Museums and the American Museum of Natural History in the U.S. and analyzed with several instruments. The instrument targeting on Earth Science curriculum was framed based on the Third International Mathematics and Science Study (1993) and the National Science Curriculum Standards (1996). Other than content-wise connections, this study investigated exhibition characteristics related to better learning of science: these characteristics were types of activities, exhibition media, exhibition technology, and presentation methods. The nature of science shown in exhibits were examined as well. Natural history museums were reconsidered for their relevance and potential as informal educational venues from this study.

• Journal for History of Mathematics
• /
• v.24 no.4
• /
• pp.1-6
• /
• 2011

We investigate a method to find the least common multiples of numbers in the mathematics book GuIlJib(구일집(九一集), 1724) written by the greatest mathematician Hong Jung Ha(홍정하(洪正夏), 1684~?) in Chosun dynasty and then show his achievement on Number Theory. He first noticed that for the greatest common divisor d and the least common multiple l of two natural numbers a, b, l = $a\frac{b}{d}$ = $b\frac{a}{d}$ and $\frac{a}{d}$, $\frac{b}{d}$ are relatively prime and then obtained that for natural numbers $a_1,\;a_2,{\ldots},a_n$, their greatest common divisor D and least common multiple L, $\frac{ai}{D}$($1{\leq}i{\leq}n$) are relatively prime and there are relatively prime numbers $c_i(1{\leq}i{\leq}n)$ with L = $a_ic_i(1{\leq}i{\leq}n)$. The result is one of the most prominent mathematical results Number Theory in Chosun dynasty. The purpose of this paper is to show a process for Hong Jung Ha to capture and reveal a mathematical structure in the theory.

• Journal of the Korean School Mathematics Society
• /
• v.17 no.3
• /
• pp.337-358
• /
• 2014

The purpose of this study is to investigate how storytelling is embodied in the Mathematics I textbooks for first grade high school students in the 2009 revised curriculum and the perception of secondary math teachers and students of those books. Furthermore, in order to have some implications on newly ongoing textbook development, this thesis sets up the following goals for inquiry into the effect on storytelling. First, are there any noticeable differences among the 10 types of mathematics I textbooks for high school first graders in the 2009 revised curriculum? Second, what do teachers and students think of textbooks which apply storytelling techniques? The results are as follows. The frequency of storytelling types that appeared in the textbooks is as follows: real-life connection type and inter-scholarship type take up 47.55% and 24.51% respectively, followed by decision-making type with 10.52%, math history type with 10.17% and tool-using type with 7.05%. Within the contents, math history type showed up on reading material from every textbook. And it is worth considering that real-life-connection type has the most various topics and is mainly for arousing interest and checking up on some concepts. However, inter-scholarship type is usually related to science, and decision-making type is included for error analysis and tool-using type for reading materials about math programs. The results of this study suggest that many of the teachers who participated showed some kind of understanding of storytelling but there were not many who are actually incorporating that into their own classes. It is also essential that we develop textbooks that are effective for storytelling classes, hold regular symposiums as well as teacher training, and create tools for proper assessment. Furthermore, students think that textbooks based on storytelling would have positive effects as long as they are supported by enough time, a sufficient number of classes and tests with validity.

• Coupled systems mechanics
• /
• v.6 no.2
• /
• pp.189-206
• /
• 2017

Tanks are used to store a wide variety of liquids such as oil, gasoline and water. It is reported that, a large number of tanks have been damaged during severe earthquakes. Therefore, understanding their behavior under earthquake is an important subject for structural engineers. In this paper, a comprehensive study is presented on dynamic response of tanks. A parametric study has been completed on the rectangular storage tanks with aid of finite element method (FEM). Various parameters are investigated, such as; liquid height, density and earthquake with different peak ground acceleration (PGA). When investigating these parameters, modal and time history method is used. Six different earthquake records are used for time history analysis. The analysis results show that when the PGA increases by 10.7 times, the maximum displacements, stress, sloshing and base shear increase by 11.4, 22.6, 5.46 and 17.8 times, respectively and when the liquid height increases by two times, the absolute maximum values of stress, displacements, base shear and sloshing increase 1.65, 2.04, 2.05 and 1.34. Furthermore, values of sloshing increase with decrease in density.

• International Journal of Advanced Culture Technology
• /
• v.6 no.1
• /
• pp.1-7
• /
• 2018

The purpose of this study is to develop an art-based integration program for the Korean schools in the United States to improve students' academic performance and nurture the spirit of the young and can enable students taking art classes to better understand social and cultural phenomena influencing their lives. This study integrates with six other subjects that are language art, math, religion, social studies, and Korean history. Art classes are considered the main vehicle for integrating the entire program using a thematic approach. The methodology of this study is based on the literature research and the information of the place, the Korean School of Columbus, is that the school is one of 124 Korean Schools in the Mid-western states and is located in the northern part of Columbus, Ohio. In this study, I developed an art-based integration program to be connected well with other subjects to help students to make sense of them in the complex societies and to help them to obtain the five goals that are included: First, students will understand about a Korean history and culture through making a kite; Second, they will know that a kite can be used as ways of communication with people and God; Third, they will also know how different types of kites respond to the airflow of the wind; Fourth, they will understand an enjoyable and different way of learning about aspects of Fine art, Bible, Language art, Mathematics, Science, History, and Social studies; Lastly, they will learn how important to cooperate with each other.

• Journal of the Korean Society of Earth Science Education
• /
• v.7 no.1
• /
• pp.75-90
• /
• 2014

The purpose of this study was to explore the characteristics of STEAM program developed and implemented by two docents and its educational impact for the use of natural history museum. Two docents developed this program with the help of science educators who ran five times of workshop during five months. The STEAM program implemented in the natural history museum demonstrated the following characteristics. The exhibitions in museum were reached by visitors only for learning science concepts (S) out of five components in STEAM. The other components, T (technology) and E (engineering), were delivered through lectures in the room, not exhibition hall. M (Mathematics)was achieved by guessing the animal's size, or calculating the walking or running speed with the clue of foot prints. The three phases of STEAM program (presentation of context, creatively design the investigation, and emotional touch) were explicitly implemented but partially successful. Two docents participating in this study responded that they formed new or extended the understandings about STEAM education, but they had the difficulties in implementing STEAM program for various type of visitors. All visitors who participated in this study displayed the favorable responses in educational impact by STEAM program in natural history museum. The heavier emphasis on E and T of STEAM program is recommended through community-based learning. In addition, educator professional program through which docents can bridge theory into practice is suggested for revitalization of STEAM education.

• Journal of the Korean Mathematical Society
• /
• v.44 no.6
• /
• pp.1397-1415
• /
• 2007

We consider an inverse heat conduction problem(IHCP) in a quarter plane which appears in some applied subjects. We want to determine the heat flux on the surface of a body from a measured temperature history at a fixed location inside the body. This is a severely ill-posed problem in the sense that arbitrarily "small" differences in the input temperature data may lead to arbitrarily "large" differences in the surface flux. A semi-discrete central difference scheme in time is employed to deal with the ill posed problem. We obtain some error estimates which also give the information about how to choose the step length in time. Some numerical examples illustrate the effects of the proposed method.

• Journal of the Korean Mathematical Society
• /
• v.53 no.1
• /
• pp.187-199
• /
• 2016

The r-ary number sequences given by $$(b^{(r)}_n)_{n{\geq}0}=\Large{\frac{1}{(r-1)n+1}}(^{rn}_n)$$ are analogs of the sequence of the Catalan numbers ${\frac{1}{n+1}}(^{2n}_n)$. Their history goes back at least to Lambert [8] in 1758 and they are of considerable interest in sequential testing. Usually, the sequences are considered separately and the generalizations can go in several directions. Here we link the various r first by introducing a new combinatorial structure related to GR trees and then algebraically as well. This GR transition generalizes to give r-ary analogs of many sequences of combinatorial interest. It also lets us find infinite numbers of combinatorially defined sequences that lie between the Catalan numbers and the Ternary numbers, or more generally, between $b^{(r)}_n$ and $b^{(r+1)}_n$.