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 transcript:

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 February 2012 Tsukuba & Tokyo, Japan

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.

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

Probability of Tsunami in Vietnam is potential

People and Natural Disasters in Vietnam

From Disturbance to Coastal Flooding because of Overlapping primary sine waves

Deep Water Wave

Sine Wave

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 = tiny & invisible.

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.

Task 1. The bichromatic wave group of a tsunami

The wave box with a dynamic presentation

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

Task 3. Speed of a long tsunami wave

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