My take on secrets for a beautiful mind |
Enrolling in the following course from my alma mater remotely via EdX(utAustinx) prompted me to inscribe this digital post, with the sole hope of leaving behind a digital footprint, that is hopefully useful to chance blog readers.
Effective Thinking Through Mathematics
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.
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.
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.
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 a beginning, not an end. Ideas are rare - milk them. Following the consequences of small ideas can result in big payoffs.
The Quintessential Element
The unchanging element is change - by mastering the first four elements, you can change the way you think and learn. You can always improve, grow, and extract more out of your education, yourself, and the way you live your life. Change is the universal constant that allows you to get the most out of living and learning.
As always, the sweetest reward of practicing such effective mathematical thinking is to discover your ability to create and nurture a beautiful mind
~ Quintessentially curious student for life
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