tungwaiyip.info

home

about me

links

Blog

< February 2014 >
SuMoTuWeThFrSa
       1
2 3 4 5 6 7 8
9101112131415
16171819202122
232425262728 

past articles »

Click for San Francisco, California Forecast

San Francisco, USA

 

Mathematical Intuitions

During my online course study, sometimes the instructor would say, intuitively, the reason go such as such. We spend a lot of time doing proofs that are the primary insight and knowledge. But the instructors also speak of developing an intuition on the subject.

It dawn on me that these intuitions are the superpower that separate people who "just know" from the rest. This is not some short cut but the critical skill of mastery. Some really simple algebraic intuition are x2 grow faster than x; 1/x decrease as x increase, etc. This is obvious to those who know them. But to others, they may not see this immediately and may need to think or make calculations. These students don't have the intuition. They may have figured out at the end, but they do not have the mastery.

I was fairly good at math at school. Now I am learning a lot about probabilities, a somewhat a new territory to me. A lot times my intuitions plainly fail. I stare at some simple symbols or equations and cannot make out what they are. I may have to slowly go thought definitions and try to work them out. But after working on these topics for many months, I begin to be able to see more things intuitively. Mastery in mathematics is not just knowledge in formal proofs. A lot of times it is to develop the intuition so that you just know.

2014.02.25 comments

 

 

blog comments powered by Disqus

past articles »

 

BBC News

 

Brazil's Amazon: Deforestation 'surges to 12-year high' (30 Nov 2020)

 

Covid-19: Lung damage 'identified' in study (01 Dec 2020)

 

Climate change: Temperature analysis shows UN goals 'within reach' (01 Dec 2020)

 

Children in England 'ripping bags open for food’ (01 Dec 2020)

 

Mohsen Fakhrizadeh: Iran scientist 'killed by remote-controlled weapon' (30 Nov 2020)

 

Missing Florida sailor found clinging to capsized vessel (01 Dec 2020)

 

France to rewrite police security bill after huge protests (30 Nov 2020)

 

Indonesia: Thousands flee after volcano erupts (30 Nov 2020)

 

Biden to nominate Janet Yellen as US treasury secretary (01 Dec 2020)

 

Zoom boosts sales forecast as pandemic drags on (30 Nov 2020)

more »

 

SF Gate

 

Elizabeth Holmes Prosecutors Say Texts Show Theranos Beset With Problems (24 Nov 2020)

 

Ship traffic, November 1 (30 Oct 2020)

 

Ship traffic, November 2 (30 Oct 2020)

 

Ship traffic, October 31 (30 Oct 2020)

 

Ship traffic, October 30 (29 Oct 2020)

 

Ship traffic, October 29 (28 Oct 2020)

more »


Site feed Updated: 2020-Nov-30 18:00