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Courseware (/courses/UTAustinX/UT.9.01x/1T2014/courseware) Course Info (/courses/UTAustinX/UT.9.01x/1T2014/info)
Discussion (/courses/UTAustinX/UT.9.01x/1T2014/discussion/forum) Progress (/courses/UTAustinX/UT.9.01x/1T2014/progress)
Syllabus (/courses/UTAustinX/UT.9.01x/1T2014/959fc67a14194ec2b215808cefb68127/)
5 Elements of Thinking Text (/courses/UTAustinX/UT.9.01x/1T2014/2612bb2ad6c7426893153ff643800464/)
Heart of Math Textbook (/courses/UTAustinX/UT.9.01x/1T2014/c930f4ca551740faa6b86b902f6a52b5/)
THE 5 ELEMENTS OF EFFECTIVE THINKING
These strategies of effective thinking are
intended to be memorable.
Ones that you can-- when you're faced with
something
and you don't know what to do, you can just
go through them like a template
and say oh, can I understand something
deeply?
Can I make a mistake?
Can I raise a question?
Can I follow the flow of ideas?
In order to make them memorable, what
we've done
is associated them with the famous
elements from ancient Greece.
The elements of the world, namely earth,
air, fire, and water.
So the way to remember these elements--
it's a mnemonic-- is this.
Understand deeply is associated with earth.
And making mistakes is associated with fire,
because it's so scary to make mistakes.
And raising questions, there are questions
in the air,
so that is associated with air.
And then the flow of ideas obviously is
associated with water.
There's a fifth element in ancient Greek
philosophy
which was called the quintessential
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5 Elements of Effective Thinking | The Elements of Effective Thi... https://courses.edx.org/courses/UTAustinX/UT.9.01x/1T2014/coursewa...
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(http://www.flickr.com/photos/117150187@N08/12438884453/)Understand Deeply
Don't face complex issues head-on; first understand simple ideas deeply. Clear the clutter and expose what is really
important. Be brutally honest about what you know and don't know. Then see what's missing, identify the gaps, and fill
them in. Let go of bias, prejudice, and preconceived notion. There are degrees to understanding (it's not just a yes-or-no
proposition) and you can always heighten yours. Rock-solid understanding is the foundation for success.
(http://www.flickr.com/photos/117150187@N08/12438884363/)Make Mistakes
Fail to succeed. Intentionally get it wrong to inevitably get it even more right. Mistakes are great teachers - they highlight
unforeseen opportunities and holes in your understanding. They also show you which way to turn next, and they ignite
your imagination.
(http://www.flickr.com/photos/117150187@N08/12439234244/)Raise Questions
Constantly create questions to clarify and extend your understanding. What's the real question? Working on the wrong
questions can waste a lifetime. Ideas are in the air - the right questions will bring them out and help you see connections
that otherwise would have been invisible.
(http://www.flickr.com/photos/117150187@N08/12438884273/)Follow the Flow of Ideas
Look back to see where ideas came from and then look ahead to discover where those ideas may lead. A new idea is abeginning, not an end. Ideas are rare - milk them. Following the consequences of small ideas can result in big payoffs.
element.
And in ancient Greece, it was viewed as the
unchanging element
from which the heavens were made.
So in our mnemonic, we think of the fifth
element as change.
Ironically, change.
Since ancient Greece it was the unchangingelement, and in a way,
change is the unchanging element.
So these are our mnemonics for
remembering
the five elements of effective thinking.
Understand deeply, make mistakes, raise
questions, follow the flow of ideas,
and change.
Help
5 Elements of Effective Thinking | The Elements of Effective Thi... https://courses.edx.org/courses/UTAustinX/UT.9.01x/1T2014/coursewa...
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