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Create the best conditions for focused and diffuse thinking
Focused thinking needs meaningful stretches of undisturbed time to focus and think.
- Prioritize making distraction-free time and space to think deeply
- (SQ3R: Survey, Question, Read, Recall, Review)
- Practice purposefully (Work the hardest bits, generalize through variation)
- Think on paper, there’s magic between the hand and the brain
Diffuse thinking occurs subconsciously by temporarily loosening attention.
- Relax/disengage attention: Sleep, walk, drive, blink, exercise
- Recall and test frequently (e.g., spaced repetition techniques).
Actively build time into each day to alternate between both modes.
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Conceptual chunks
One of the first steps towards gaining expertise in math and science is to create conceptual chunks.
Once you chunk an idea or concept, you don’t need to remember all the little underlying details; you’ve got the main idea - the chunk - and that’s enough.
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Learning is often paradoxical. The very thing we need in order to learn impedes our ability to learn. We need to focus intently to be able to solve problems – yet that focus can also block us from accessing the fresh approach we may need. Success is important, but crit...
BARBARA OAKLEY
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The Einteilung Effect: An idea you already have in min, or your simple initial thought, prevents a better idea of solution from being found.”
BARBARA OAKLEY
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Writing to improve your memory
There is a direct connection between your hand and your brain. The act of organizing and re-writing your notes is essential to breaking down large amounts of information into smaller digestible chunks.
Writing and saying what you are trying to learn seems to enhance retenti...
444
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Focused thinking and diffused thinking
- Focused mode is used to concentrate on something that’s already tightly connected in your mind because you are familiar and comfortable with the underlying concepts.
- The diffuse approach involves a big-picture perspective. Useful when you are learnin...
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Articulating your question is 80 percent of the battle. By the time you’ve figured out what’s confusing, you’re likely to have answered the question yourself!
KENNETH LEOPOLD
459
3.32K reads
Enhancing your memory
Learning to use your memory in a more disciplined yet creative manner helps you learn to focus your attention.
- One of the best things you can do to remember and understand concepts in math and science is to create a metaphor or analogy for them.
- Use spaced repetition to help lo...
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Interleaving versus overlearning
Interleaving means practicing by doing a mixture of different kinds of problems requiring different strategies.
Overlearning means continuing to study or practice a problem immediately after some criterion has been achieved. For example, correctly solvi...
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Focus on process instead of product
Unfortunately, many of us find it too easy to procrastinate even starting our math homework because we see it as boring and difficult. This thinking comes from focusing on the idea that we only want to finish our work.
If we instead look at our goal as
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1.68K reads
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