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

 

Afghan contractors: 'I wish I'd never worked for the UK government' (16 Aug 2022)

 

Trump warrant: Prosecutors oppose releasing search evidence (16 Aug 2022)

 

Scott Morrison: Ex-Australia PM held five additional portfolios, Albanese says (16 Aug 2022)

 

Sacheen Littlefeather: Oscars apologises to actress after 50 years (16 Aug 2022)

 

Five men held in Ukraine deny being mercenaries (16 Aug 2022)

 

Norway bridge collapse: Drivers of two vehicles rescued (15 Aug 2022)

 

Body found in world's highest battlefield 38 years on (16 Aug 2022)

 

Egypt church fire: Triplets and twins among 15 children killed (15 Aug 2022)

 

Kenya election result: William Ruto wins presidential poll (15 Aug 2022)

 

German households face levy of hundreds of pounds on gas bills (15 Aug 2022)

more »

 

SF Gate

 

These were the highest-paying Silicon Valley tech companies in 2021 (19 Jul 2022)

 

'This will be somewhat painful': Elon Musk talks Twitter takeover in extended interview at TED2022 Vancouver (14 Apr 2022)

 

Best Background Check Services in 2022, Top 13 People Finder Sites Reviewed (5 Apr 2022)

 

Better.com employees got severance checks before they were laid off (9 Mar 2022)

 

Apple joins other Bay Area tech giants in responding to Russian invasion of Ukraine (1 Mar 2022)

 

Uber will now show you how you’re rated by drivers (18 Feb 2022)

more »


Site feed Updated: 2022-Aug-16 00:00