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

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Oakley herself hated math and science growing up, and flunked through her high school math and science courses. She enlisted in the army right out of high school because they paid her to learn Russian. The army later commissioned her in the US Army Signal Corps, which required her to develop technical knowledge of things like radio and cable systems. Since the job prospects for Russian linguists are … pretty limited, she couldn’t really leave, either. First I saw where I didn't apply the 3 parts.For example When I was distracted I found it harder to remember, When I didn't comprehend the meaning behind something the facts seemed separate to each other and never appeared together and without context whatever I learnt was never use. So I applying this model I learnt to make sure I study in a quiet place, I make sure I understand what I learn and that I'm thorough in where it fits into the bigger picture. It can help to recall material when you are in a physically different location than where you learned the material. Those who are the most disagreeable tend to be the most creative. This is because creative people challenge existing answers and assumptions. 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. Zombies Everywhere – Digging Deeper to Understand the Habit of Procrastination

This is similar to “muscle memory” in sports. When you begin to learn something like hitting a ball, you have to think about all the things involved. As we practise and repeat it, the act of hitting the ball becomes a single chunk. So we can just focus on one step – one chunk – instead all the steps involved. In fact, focusing on all the little steps causes us to overthink and is more likely to lead to “choking”. Alcuni capitoli dedicati alle tecniche di memorizzazione quali: la tecnica dei loci (memory palace) ed altre più o meno conosciute, con qualche esempio pratico (soprattutto nel secondo capitolo ad esse dedicate); Your short-term memory or working memory holds whatever information you’re processing consciously. It has a limited capacity, and can hold about 4 main clusters of information at any point in time, like a juggler who can keep only 4 balls in the air.The science on how to do optimal work in “A Mind For Numbers” has transformed my writing life from hellish to a tough job I love. Through what I learned from about diffuse mode thinking, I’m careful to put in daily work in reading, researching, and writing, especially on tough concepts.

Not thinking can make you think in ways you never thought of, but thinking can only make you think in ways you already thought”

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The diffuse mode helps us gain new insights on problems we’ve been struggling with and to see the “big picture”. When we’re trying to understand a new concept or solve a new problem, we don’t have existing neural patterns to help guide our thoughts. If we relax and let our minds wander, we allow different areas of the brain to form new connections. For example, the best language programs, such as those at the Defense Language Institute (where Oakley learnt Russian), combine focused mode (structured practice with plenty of repetition and rote) and diffuse mode (free speech with native speakers). 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 Analogies and metaphors can help you use an existing neural structure as a scaffold to help you build a new and more complex neural structure. Developing the Mind’s Eye Through Equation Poems Chunking involves both top-down and bottom-up learning. The bottom-up part is where you practise and repeat it in different situations. Top-down learning is understanding and seeing the bigger picture. Both are vital to gaining mastery. When you first learn or notice something, it’s stored in your working memory. To move it to your long-term memory, you must repeat the idea and make it memorable.

Use the focused mode to first start grappling with concepts and problems in math and science. After you’ve done your first hard-focused work, allow the diffuse mode to takeover. Relax and do something different. La prima cosa che mi è saltata all'occhio è che per essere un libro intitolato «A mind for numbers» ci sono veramente pochissime formule matematiche ed altrettanto pochi esempi che non rimangano sul semplice meta-studio. In altri termini, avrei preferito delle sezioni di approfondimento che rendessero il libro meno didascalico e più pratico. 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.

This was an epic moment in my life because I found out that my greatest fear was indeed my true passion in life. I just loved the harmony and beauty of algebraic expressions and calculus formulas especially the meaning behind all of these abstract symbols. With intuitive method of teaching of the khan academy and some mental exertion I managed to learn so many precious things in maths even difficult parts of calculus and I got an A in my AP exam. Since three years ago I have never stopped learning mathematics (except few months for TOEFL) and currently I am studying for the GRE test. Which I am really thrilled by this process and it is not stressful anymore at all. The most important thing is that I’ve decided to keep learning maths for the rest of my life, especially probability and statistics. Paraphrasing (accidental: I never enjoyed the physical act of writing longhand, so I was often annoyed by any hint of verbosity in definitions or descriptions. I actually got in trouble once for not copying sections of my science textbook's glossary verbatim for an assignment!) One of the first steps towards gaining expertise in math and science is to create conceptual chunks. Mental leaps that unite separate bits of information through meaning. Robert R Gamache, Ph.D., Associate Vice President, Academic Affairs, Student Affairs, and International Relations, University of Massachusetts, Lowell

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