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Mathematics is indeed discussable
Jephian C.-H. Lin
https://hackmd.io/@jephianlin/mathematics-is-indeed-discussable
Mathematics is
disgustingdiscussable!About me
Jephian C.-H. Lin 林晉宏
National Sun Yat-sen University
Applied Mathematics
Experiences
Outline
Are you happy with the current outcome?
Why Mathematics?
Essense of learning — real story
A function \(f(x)\) is continuous at a point \(c\) if …
Textbook version:
Student version:
How to make the content fun?
fun
programming
applications 
Theory ––––––––––––––-> Applications
Fun \(=\)
learned something
Active learning \(\neq\) self learning
https://www.youtube.com/watch?v=ZQ12ESNoy5k
https://www.youtube.com/watch?v=_L8roj-8HfM
Any questions?
Group discussion
What happens?
rapport \(+\) clear instruction
\(=\)
Mathematics is discussable!
Clear instruction
ICQs
Instruction Checking Questions
Where are we going at the next intersection?
CCQs
Concept Checking Questions
If you would like to enjoy the beautiful views, which route would you choose?
Rapport
The first clas is IMPORTANT!
Not your fault…
But there are rooms for improvement –> PDCA
Sharing my experiences
First class: Build the mindset
We are bound to learn together.
First class: Scaffolded self instroduction
Activities: Run the definition
Activities: Collaborative computation
\({\bf u}_1 = \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\), \({\bf u}_2 = \begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \end{bmatrix}\)
\({\bf v}_1 = \begin{bmatrix} 5 \\ 9 \\ 13 \\ 17 \end{bmatrix} = c_1\begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix} + c_2\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \end{bmatrix}\)
\(c_1 = ?\), \(c_2 = ?\)
Activities: Yes-No jigsaw
Why we need so many teachers?
Be a student again
If you got a chance to learn the subject again, how would you learn it…?