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# 2019年2月16日二零一九至二零二零學年

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## Mathematical Modelling …

 authentically connects to the real world, starting with ill-defined, often messy real-world problems with no unique correct answer.

 is used to explain phenomena in the real world and/or make

predictions about the future behavior of a system in the real world.

 requires the modeler to be creative and make choices, assumptions, and decisions.

 is an interactive process.

 There are multiple paths open to the mathematical modeler and no clear, unique approach or answer.

Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics, edited by Christian R. Hirsch (NCTM 2016)

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## STEM research and development cycles

Define and understand

Develop Test and

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## The Traffic Flow problem

At which speed should cars go in order to maximize the flow rate?

Assumption: a dense traffic on a single-lane road.

Question: What is flow rate?

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### Example 2 Glacier melting

https://en.wikipedia.org/wiki/Puncak_Jaya

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### Example 2 Glacier melting

https://en.wikipedia.org/wiki/Puncak_Jaya

Source: http://en.Wikipedia.org/wiki/File:Puncak_Jaya_glaciers_1850-2003_evolution_map-fr.gif

 What is the area of the glacier at specific time?

 Study the change of glacier area with respect to time.

 What is your prediction of the area of the glacier at 2019?

 Compare the prediction with the photo from google map.

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## 資源

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### 進度表

4.6 現時日間育嬰園及日間幼兒園的幼兒工作員與兒童的法定比例，分 別是 1:8 及

Promotion of STEM Education by infusing Mathematical Modelling into Secondary Mathematics?. 將數學建模注入中學數學科以推展