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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.

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Presentation on theme: "TASKS FOR THE MATHEMATICAL PROBLEM SOLVING ON THE SITUATIONS OF THE TSUNAMI (for senior high school students) Tran Vui Hue University of Education, Vietnam."— Presentation transcript:

1 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

2 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.

3 Historical Tsunami in Vietnam -1904: Thua Thien - Hue -1930: Nam Dinh -1964: Da Nang - Other tsunami in Vietnam were not recorded.

4 Probability of Tsunami in Vietnam is potential

5 People and Natural Disasters in Vietnam

6 From Disturbance to Coastal Flooding because of Overlapping primary sine waves

7 Deep Water Wave

8 Sine Wave

9 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.

10 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.

11 Task 1. The bichromatic wave group of a tsunami

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13 The wave box with a dynamic presentation

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15 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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18 Task 3. Speed of a long tsunami wave

19 Estimating the Affect of a Tsunami to Coastal area in Vietnam if the epicenter is in Manila

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