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

 

Trump dismisses North Korean tests of 'some small weapons' (26 May 2019)

 

German Jews warned not to wear kippas after rise in anti-Semitism (26 May 2019)

 

Raab and Leadsom join race for UK Tory leadership (25 May 2019)

 

Papua New Guinea Prime Minister Peter O'Neill resigns (26 May 2019)

 

Saudi women runners push boundaries on the streets (25 May 2019)

 

Divorce referendum: Ireland votes to liberalise laws (26 May 2019)

 

Everest: British man among latest mountain deaths (25 May 2019)

 

Rescued hiker: 'It came down to life and death and I had to chose' (26 May 2019)

 

Russia ordered to release Ukraine sailors (25 May 2019)

 

Israel protests: Thousands rally against Netanyahu immunity (25 May 2019)

more »

 

SF Gate

 

New Coke was a debacle. It’s coming back. Blame Netflix (25 May 2019)

 

Best headphones from to (25 May 2019)

 

Vice tries to turn the page by making content for others (25 May 2019)

 

CEOs get ,000 pay raise, leaving workers further behind (24 May 2019)

 

Theme park attendance crosses half-billion mark for 1st time (24 May 2019)

 

Authorities raid 247 Colorado homes growing black market pot (24 May 2019)

more »


Site feed Updated: 2019-May-26 00:00