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# 協作研究及發展（「種籽」）計劃簡介會

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## 數學在 STEM 的角色

### T S

https://www.edb.gov.hk/attachment/tc/curriculum-development/kla/ma/res/smn_21.pdf

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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 behaviour of a system in the real world.

● requires the modeller to be creative and make choices, assumptions, and decisions.

● is an interactive process.

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

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## STEM research and development cycles

Define and understand

Develop Test and

refine

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## From another aspect…

### Engineering

Design problem prototype

Design

problem program

### Mathematical

Problem from real Mathematical

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## Example 1 Paper packed drink

Unpack a paper packed drink. You should notice that it is formed by folding a piece of paper.

Use a A4 size paper. Fold it into a half and stick the three open sides with adhesive tapes.

Fold the paper to make a paper box as shown in the figure.

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## Example 1 Paper packed drink

Make another paper box, but with greater capacity.

How you choose the dimensions? Why? Explain with words and/or diagrams.

Calculate the capacity of the new paper box.

Design the paper box with the largest capacity. Show you design process.

State the assumption you used in the calculations, if any.

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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 2020?

➢ Compare the prediction with the photo from google map.

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## The Traffic Flow problem

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

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

Question: What is flow rate?

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## 資源

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### ➢教師團隊的組成

Springer Mathematics Online Library 78..

Society for Industrial and Applied Mathematics E-journals 16種.

Besides, although the elements of STEM education are embedded in individual KLAs of Science, Technology and Mathematics Education of the local school curriculum, the coherence

• 領略 情意 情意 情意 情意，體會 體會 體會 體會意境. • 著重學生 個人體悟 個人體悟

and/or make predictions about the future behaviour of a system in the real world. ● requires the modeller to be creative and make choices, assumptions,

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

本計劃旨在根據修訂初中中國歷史課程的調適 課程大綱，發展適合非華語生使用的學與教資