APEC-Tsukuba International Conference 2012Mathematical Model

in the context of Earthquake and Tsunami

CHENG, Chun Chor LitwinHong Kong Institute of Education,

10 Lo Ping Road, Tai Po, New Territories, Hong Kong; Email: cccheng@ied.edu.hk

Earthquake

Earthquake

Earthquake

Earthquake

Earthquake

Tsunami

Tsunami

Tsunami

Tsunami

Tsunami

Topic One

Developing the tasks for the mathematical problem solving or mathematical modeling on the situations of the Earthquake or Tsunami for each school level.

Possible Learning Content

A Knowledge of why and how Earthquake and Tsunmai happen

B Models related to Earthquake and Tsunmai (mathematics and physical model)

C Prevention and damage control (Good Building and Logistic arrangement)

D After the disaster (Relief Work and its arrangement)

A Knowledge of why and how Earthquake and Tsunmai happen

Geography (plate theory)Data (frequency of earthquake and Tsunmai)Possible prediction method and warning system

B Models related to Earthquake and Tsunmai

• Magnitude of Quake (calculation and energy level)

• P wave and S wave• Longitudinal wave and Vertical wave• Time lapse between the P-wave and S-

wave. (r/v1 – r/v2)• Safe space during shock (triangular

shape)

B Models related to Earthquake and Tsunmai

• Volume of water (formed by thrust, a constant after thrust in a certain time)

• Wave and energy (measurement)• Travelling time of wave • Successive waves (time lapsed)• Height of Tsunmai (deep vs shallow)• Calculation of possible energy (1/r^2)

C Prevention and damage control (Good Building and Logistic arrangement)

• Knowledge on land used and housing development

• Building of safe haven (high community hall near the shore)

• Effective anouncement systeem (communication)

D After the disaster (Relief Work and its arrangement)

• Estimation on demand of essential resources

• Effective distribution system (multiple centre vs central centre) and transportation system

• Requirement of a Relief Centre

Topic Two

Status, experience and plan of lesson study in Hong Kong

Topic Two (Status)

• HK is lucky (we have no earthquake no tsunmai, no flood, no volcano)

• We do have typhoon• mathematics curriculum in Hong Kong is

centralized• curriculum does not cover any part of

modeling

Topic Two (Expeience)

• School Base Learning• Cross curriculum approach

Topic Two (plan of Lesson Study)

• Research into the content material• Develop Curriculum • Cross curriculum approach• Modelling for the high school• Relief work planning/estimation for

primary school

THANK YOU