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TASKS FOR THE MATHEMATICAL PROBLEM SOLVING ON THE SITUATIONS OF THE TSUNAMI (for senior high school students) Tran Vui Hue University of Education, Vietnam APEC-Tsukuba International Conference VI Innovation of Mathematics Education through Lesson Study Challenges to Emerency Preparedness for Mathematics 14-18 February 2012 Tsukuba & Tokyo, Japan
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Some mathematics that can be used to understand a tsunami. Learning mathematics in a real life context. How can we bring real life situations into class to teach mathematics.
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Historical Tsunami in Vietnam -1904: Thua Thien - Hue -1930: Nam Dinh -1964: Da Nang - Other tsunami in Vietnam were not recorded.
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Probability of Tsunami in Vietnam is potential
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People and Natural Disasters in Vietnam
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From Disturbance to Coastal Flooding because of Overlapping primary sine waves
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Deep Water Wave
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Sine Wave
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Wave propagation and dispersion a tsunami has: Amplitude: h = 1 m Wave Length: L = 300 km = 300,000 m. Max slope: M = 1/50,000 = 0.00002 tiny & invisible.
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Knowledge Prerequisites Grade 11: 1 st Semester, Vietnamese Curriculum. Calculus: - Derivative to find Slope at a point of a function. - Graph of a trigometry function. - Addition of two functions.
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Task 1. The bichromatic wave group of a tsunami
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The wave box with a dynamic presentation
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It is explored that the surface of a tsunami has roughly the shape of a sine wave at a given instant. In a sine of length L the surface elevation is given by the function: where x is distance along the wave. Task 2. The maximum slope of a long tsunami wave
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Task 3. Speed of a long tsunami wave
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Estimating the Affect of a Tsunami to Coastal area in Vietnam if the epicenter is in Manila
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