• Communications of Mathematical Education
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• v.27 no.3
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• pp.179-203
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• 2013

The purpose of this study was to discuss the example that developed geometry model textbook based on storytelling using real-life context. To achieve this purpose, we first elaborated the meaning of the textbook based on storytelling with real-life context, and then we discussed the outline of the story and the summary of each lesson. This study defined the storytelling textbook with real-life context as the textbook consisting of activities that explored and organized mathematical concepts by using real-life situations as materials of stories. The geometry textbook we developed employed two real-life materials, a map and a set square: we used a map for the coordinate geometry and a set square for the equation of a line. To attract students' interest, we introduced confrontation between a teacher and two students and a villain. We implemented experimentation with the textbook based on storytelling in order to verify its validity. The participants were 25 students that were enrolled in a high school in Seoul. Among them, 17 participants were surveyed. Students' answers from the survey questionnaire suggested that the geometry textbook we developed based on storytelling helped them learn mathematics and that the instruments such as a map and a set square helped them understand mathematical concepts. However, their opinion implied that the story of the textbook needed to be improved so that the story reflected more realistic contexts that were familiar with students.

• Journal of the Korean School Mathematics Society
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• v.14 no.4
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• pp.443-458
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• 2011

There has been a lively discussion on improving Korean students' academic achievement and the imbalance in their recognition of the value of mathematics. In this context, there is a need for a program that enables the majority students who regards mathematics as a subject for the entrance examination to recognize the practicality and historicity of mathematics. Educational books on mathematics in everyday life or the history of mathematics are also expected to serve as an effective tool. In addition, Web 2.0 Map is another means of representing mathematics in everyday life and the history of mathematics in connection with the practical context. The active storytelling process in which mathematics in the practical context in mathematical educational books is represented in Web 2.0 Map is expected to help to understand in depth the practicality and historicity of mathematics. Nevertheless, mathematical educational books and Web 2.0 Map may lead to a considerable variety of outcomes and speeds if carrying out tasks depending on the student's competence and may have practical difficulties in being operated in class. These concerns, however, can be resolved through the creative activity programs adopted in conformance with the 2009 revised curriculum. Therefore, this study intends to develop a program for creating mathematical story maps through mathematical educational books and the Mashup of Web 2.0 Map in accordance with the process of developing activity programs. This study also intends to determine its effectiveness in enabling students to recognize the practical and historical values of mathematics.

• The Mathematical Education
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• v.52 no.3
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• pp.335-361
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• 2013

The purpose of this study is to analyze effects on storytelling materials of statistics in the middle school classroom lesson. For this purpose, a story is developed by the Zazkis & Liljedahl's model and applied to the 7th graders of 4 classes in a middle school. After the comparison between 5 hours of storytelling lessons and ordinary lessons, the following research findings are obtained. First, storytelling material brings a positive effect on student's academic achievement. It is also shown by the qualitative analysis that this result was caused by cognition of data observation, data transformation, and unification of data with context. Second, storytelling material brings a positive effect on student's affective attitude. It is also validated by the qualitative analysis that students show the positive change in mathematical value cognition and the interests in the lesson.

• Steel and Composite Structures
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• v.43 no.2
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• pp.153-164
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• 2022

In this study, a series of cyclic loading tests were performed on viscoelastic dampers (VED) composed of viscoelastic polymer composite material and thin steel plates to observe the variation of the mechanical properties under different loading conditions. A mathematical model was developed based on the Kelvin-Voigt and Bouc-Wen models to formulate the nonlinear force-displacement relationship of the viscoelastic damper. The accuracy of the proposed mathematical model was verified using the data obtained from the tests. The mathematical model was applied to analyze a reinforced concrete framed structure retrofitted with viscoelastic dampers. Nonlinear dynamic analysis results showed that the average maximum inter-story drift ratios of the retrofitted structure met the target limit state after installing the VED. In addition, both the maximum and residual displacements were significantly reduced after the installation of the VED.

• Proceedings of the Earthquake Engineering Society of Korea Conference
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• 1999.10a
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• pp.203-211
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• 1999

Threr are several methods in protecting the building structures from dynamic loads such as an earthquake and a wind. Among them applying a control force to the building structure is one of the methods to decrease the vibration. The most important and difficult problem in the active control is to obtain the mathematical model of the building structure with a controller. the effective active controller can be designed from the exact model of the system In this paper the three story test building with an active mass driver is identified experimentally. the system matrices corresponding to the experimental building are found and verified with the experimentally-obtained transfer functions and responses efficiently.

• Education of Primary School Mathematics
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• v.3 no.1
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• pp.37-45
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• 1999

This paper investigates the comparative effectiveness of two kinds of instructional methods in transfer of mathematics learning: one based on the situated cognition, ie. situated learning and the other based on traditional learning. Two classes of second graders studied the instruction about 3-digit addition and subtraction. After that, they completed two written tests and a real situation test. As a result. no significant differences were found between the two group's performance on the written test 1 and real situation test. But the situated learning group performed significantly better on the performance of story problem than traditional group. This result indicated that the situated learning made improvement in transfer of mathematic loaming. As a result of interviews with 12 children, the situated loaming group's children were able to use contextual resources in solving real situation as well as story problems.

• Proceedings of the Earthquake Engineering Society of Korea Conference
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• 1999.10a
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• pp.244-250
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• 1999

Active vibration control method for the reduction of vibration of structures have been developed. For the application of real structures active control system that has robustness must be designed because the mathematical model incompletely described has intrinsically modeling error. In this research we propose LQG/LTR method in designing control system with robustness. A combination of acceleration feedback and model-order reduction technique is used for the application of real structures and the computation efficiency. In case of such structures as the building and the tower the inter-story relative displacements represent an important constraint in seismic design. Therefore selection method of design parameters is also proposed in order to reduce the inter-story relative displacements.

• Journal of the Korean School Mathematics Society
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• v.9 no.2
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• pp.141-161
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• 2006

In this study, we classified word problems related to real life presented in elementary mathematics textbooks into five types of context problems(location, story, project, scrap, theme) suggested by Freudenthal(1991), and applied context problems to mathematics class to analyze the influence on students' mathematical belief and attitude. Also, we examined the types of context problems preferred according to academic performance and the reasons of preference within a group experiencing context problems. The results of the study are as follows. First, almost lessons in the mathematics textbook presents word problems related to real life, but the presenting method is inclined to a story type. Also, the problems with a story type are presented fragmentarily. Therefore, although these word problems are familiar to the students, they don't include contextual meanings and cannot induce enough mathematical motives and interests. Second, a lesson using context problems give a positive influence on their mathematics belief and attitude. It is also expected to give a positive influence on students' mathematics learning in the long run. Third, the preferred types of context problems and the reasons of preference are different according to the level of academic performance within the experimental group.

• Journal of Fisheries and Marine Sciences Education
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• v.23 no.2
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• pp.302-318
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• 2011

The object of this study is to provide easily-understandable mathematics class to highschool students, who usually take no interest in mathematics, by apply teaching strategy based on storytelling to real lessons. The approaching methods for the mathematics education are emphasizing the mathematical education during making storytelling-studying plans, inducing the interest of the students by applying the mathematical situations in the story. The effects of the storytelling such as induction of the interest, persistency, perception of the practicality, smooth communication between teachers and students coincides with the way national mathematical education orients. This study contains the definition of the storytelling based on education, and applicability to the students, and application to the real lessons, and verification of the effects by focus-group interview with the students and observing teachers. I made the lesson plan based on storytelling for achievements to the object of the highschool mathematical study, and searched the best way to apply the lesson plan to the real lessons. I studied designing lesson strategy based on dissertations and books and reports directly related this study, and did focus-group interview to find advantages and disadvantages of the strategy. And finally I could make the well-applicable lesson plan.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.719-736
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• 2005

An understanding of Fourier series and their generalization is important for physics and engineering students, as much for mathematical and physical insight as for applications. Students are usually confused by the so-called Gibbs' phenomenon, an overshoot between a discontinuous function and its approximation by a Fourier series as the number of terms in the series becomes indefinitely large. In this paper we give short story of Gibbs phenomenon in chronological order.