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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 critically, so if failure. Persistence is key – but misplaced persistence causes needless frustration.
BARBARA OAKLEY
431
2.14K reads
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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.
459
1.65K reads
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
415
1.86K reads
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
1.4K reads
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...
503
3.64K reads
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...
450
1.35K reads
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...
444
1.65K reads
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, gener...
479
2.6K reads
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
477
1.68K reads
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The natural preferences of our brain
In a perfect world, we would use both success and failure as instructive lessons. But our brain doesn't learn that way. It learns more from some experiences than others.
Confirmation bias makes us prefer outcomes that we agree with, and a positivity bias causes us to focus on rewar...
Using Changes To Stay Present
Plans changing should be welcomed with open arms as we remember to experience the present moment. We do this because when we focus on the frustration of having to perform changes we become fixated on the expected idea of what things should be... which is no longer the tru...
The human brain evolved ,too .
- We don't have one brain in our head—we have three. We started with a “lizard brain” to keep us breathing, then added a brain like a cat’s, and then topped those with the thin layer of Jell-O known as the cortex—the third, and powe...
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