A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

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A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)

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This is a classic modelling mistake of physicists. I think motor coordination is done by simple rule of thumb plus a control loop (see motion, move hand, predict path, see motion, move hand) rather than unconscious calculus or ODEs. Simplify things and try to explain them to others. Many complex ideas can be broken down into smaller parts. Often these parts will be similar to something you already understand. When you break something down this way, your understanding of it becomes much stronger. Kiss a frogs lips and it will transform into a prince however eat a frog and you'll become a zombie" Chunk creation" (learning suitable abstractions): focus on it, get the gist, practice (how to use it), work out applicable contexts (when to use it), test recall

Understanding often arises as a consequence of attempting to explain something to others, rather than the explanation arising out of your previous understanding. siiski, kuigi tal tuleb iga natukese aja tagant meelde, et ta pidi ju matemaatikat, füüsikat, keemiat ja inseneriteadusi promoma, ja seda siis kohusetundlikult teeb, räägib see raamat ikkagi õppimisest üldiselt. ilma liigselt ajuteadusesse süvenemata, aga üldiselt ikkagi neidsamu asju, mida ajuteadlased meile juba tükk aega räägivad - et mälust ammutamine, enesetestimine ja ülesannete läbilahendamine on paremad õppimisviisid kui tuimalt raamatulugemine; et tasub teha erinevaid ülesandeid vaheldumisi, mitte kogu aeg ühesuguseid järjest; et enne kontrolltööd tuleb korralikult magada; et viimasele hetkele ei ole õppimist mõtet jätta ja et mõned asjad tuleb ikkagi pähe ka õppida. ja kõik see kehtib minu meelest küll ühtviisi nii matemaatika kui näiteks keelte õppimisel.Some nonsense started getting popular around the turn of the 21st century that knowing facts is inconsequential so long as you know where to find them. Barbara says this is called "chunking" information and their's 3 parts to it.The first is directly focusing on what you want to learn. This puts information into neurons. The second Is understanding what you are learning. This binds neurons together and you have successfully made a chunk of information, but unfortunately it isn't easy to recall yet. To understand how the chunk does and doesn't fit into the bigger picture is the third part that makes the chunk of information useful - understanding when to use information creates pathways to the chunks and knowing when the information isn't need makes your brain not create pathways to chunks. One important key to learning swiftly in math and science is to realize that virtually every concept you learn has an analogy, a comparison, with something you already know. It's not that there aren't gems in this book. There are a few. Diffuse mode vs. focused mode thinking, a core part of the book, is pretty interesting. The fact that the memory palace technique works well for unrelated things, which I never thought about. And some other ones that weren't so memorable. It's good for reminding you about all the productivity tips that you should be doing. But for me, there was nothing novel in here. The difference between creative scientists and technically-competent but non-imaginative ones is their breadth of interest.

We all have a natural feel and flair for math and science. Basically, we just need to master the lingo and culture.” Understand the basic idea. Understanding is like a superglue that holds memory traces together. You may be able to create a chunk even if you don’t understand it, but it will be quite useless since it won’t fit in with other material. (And bear in mind that just understanding how a problem was solved doesn’t mean you can call it to mind later – active recall is needed.) Procrastination can be like taking tiny amounts of poison. It may not seem harmful at the time, but the long-term effects can be very damaging. Procrastination is really harmful because it reduces the amount of time your brain has to switch between focused and diffuse modes. Some tips to overcome procrastination include:

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It can help to recall material when you are in a physically different location than where you learned the material. However, old myths saying that some people are “left-brained” or “right-brained are untrue. People don’t tend to have a stronger left- or right- side of their brain. But it’s important not to throw the baby out with the bathwater and ignore differences between the two sides of the brain. How to shift between focused and diffuse modes Your brain is capable of handling complex mental calculations and problems. Each day, you’re already making countless unconscious decisions involving distances, speed, and quantities. To get better at math and science, you must learn how your brain works so you can use it to learn faster and deeper. Focused vs Diffused Thinking

Pomodoro Technique: break your work into bite-sized pieces, then work intently but briefly. This is a technique to help you focus your attention over a short period of time. Chunking Verses Choking – How to Increase Your Expertise and Reduce Anxiety Consigli utili per autovalutarsi nel bene (evitare di buttarsi giù se si fallisce, imparare a valutare i propri punti di forza ecc.) e nel male (come evitare di essere troppo presuntuosi e perché a volte la troppa fiducia in sé stessi gioca brutti scherzi); Oakley also distributes insights about her core topics – building up and reinforcing the key ideas throughout the book. Ultimately, she concludes that 10 practices are critical (she calls them “Ten Rules of Good Studying.” They apply to lifelong learning as well as to learning for school – especially to information and processes you want to remember: Testing in itself is a powerful learning experience, it changes and adds to what you know, also making dramatic improvements in your ability to retain the material. This is known as the testing effect.

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In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively—secrets that even dedicated and successful students wish they’d known earlier. The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. We all have what it takes to excel in areas that don’t seem to come naturally to us at first, and learning them does not have to be as painful as we might think! Wow! I wanna read this book over and over and over again! But actually, that is something this book told me not to do… The struggle is real!

promoting the virtues of teamwork and providing tips for how to use partners and teammates; *promoting broad studying and creative exploration;To maintain something in working memory, we have to apply energy to it. Otherwise, our bodies divert energy elsewhere and the information leaves working memory. Before coming to university to study Medicine I had read a few medically and clinically oriented books. Though these books gave me a great perspective how things could be like in the clinical world, few gave me an insight into being a good student. Researchers used to think it was 7, but that was because we automatically group things into chunks, so our working memory appeared bigger than it actually was.



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