A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Rate it:
Open Preview
28%
Flag icon
Focus on the process (the way you spend your time) instead of the product (what you want to accomplish).
28%
Flag icon
sure to schedule free time to nurture your diffuse mode.
28%
Flag icon
Multitasking means that you are not able to make full, rich connections in your thinking, because the part of your brain that helps make connections is constantly being pulled away before neural connections can be firmed up.
29%
Flag icon
Focusing on taking small, manageable steps forward and time management are key.
29%
Flag icon
Practice is where you are supposed to fail.
29%
Flag icon
We should ALWAYS be perpetual learners. Always in ALL WAYS.
29%
Flag icon
“They say experience is the best teacher. Instead, it should be that failure is the best teacher. I’ve found that the best learners are the ones who cope best with failure and use it as a learning tool.”
29%
Flag icon
New inventions almost never initially appear in their fully formed glory.
29%
Flag icon
Did you remember to skim ahead and check the questions at the end of the chapter to help you start building chunks of understanding?
29%
Flag icon
once you start working on a math or science problem, you’ll notice that each step you complete signals the next step to you.
30%
Flag icon
Work a key problem all the way through on paper.
30%
Flag icon
As you work through this problem, there should be no cheating, skipping steps, or saying, “Yeah, I’ve got it” before you’ve fully worked it out. Make sure each step makes sense.
30%
Flag icon
Do another repetition of the problem, paying attention to the key processes.
30%
Flag icon
Take a break.
30%
Flag icon
Sleep.
30%
Flag icon
Do another repetition.
30%
Flag icon
Add a new problem.
30%
Flag icon
Do “active” repetitions.
30%
Flag icon
Generating (that is, recalling) the material helps you learn it much more effectively than simply rereading it.
31%
Flag icon
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.
32%
Flag icon
Chunking means integrating a concept into one smoothly connected neural thought pattern.
32%
Flag icon
If you prepare well by practicing and building a good mental library, you will find that luck will be increasingly on your side.
35%
Flag icon
But to be effective in learning math and science, you must master your habits.
35%
Flag icon
Keep your eye on the goal, and try not to get too unsettled by occasional roadblocks.
37%
Flag icon
People who make a habit of getting their work done in binges are much less productive overall than those who generally do their work in reasonable, limited stints.
38%
Flag icon
Over the past decades, students who have blindly followed their passion, without rational analysis of whether their choice of career truly was wise, have been more unhappy with their job choices than those who coupled passion with rationality.
42%
Flag icon
“The ability to think in spatial terms has been shown to be important for success in careers such as engineering, architecture, computer science, and many others.
43%
Flag icon
create a metaphor or analogy for it—often,
44%
Flag icon
Writing appears to help you to more deeply encode (that is, convert into neural memory structures) what you are trying to learn.
44%
Flag icon
it’s wise to be careful about what you decide to skip when reviewing for tests. Your memory for related but nonreviewed material can become impaired.
47%
Flag icon
It is the practice—particularly deliberate practice on the toughest aspects of the material—that can help lift average brains into the realm of those with more “natural” gifts.
49%
Flag icon
we can make significant changes in our brain by changing how we think.
49%
Flag icon
Good chunks form neural patterns that resonate, not only within the subject we’re working in, but with other subjects and areas of our lives. The abstraction helps you transfer ideas from one area to another.
51%
Flag icon
One of the most important things we can do when we are trying to learn math and science is to bring the abstract ideas to life in our minds.
52%
Flag icon
simple explanations are possible for almost any concept, no matter how complex.
52%
Flag icon
When you cultivate simple explanations by breaking down complicated material to its key elements, the result is that you have a deeper understanding of the material.
52%
Flag icon
the Feynman technique, which asks people to find a simple metaphor or analogy to help them grasp the essence of an idea.
53%
Flag icon
Equations are just ways of abstracting and simplifying concepts. This means that equations contain deeper meaning, similar to the depth of meaning found in poetry.
53%
Flag icon
Transfer is the ability to take what you learn in one context and apply it to something else.
53%
Flag icon
Multitasking during the learning process means you don’t learn as deeply—this
53%
Flag icon
Persistence is often more important than intelligence.
53%
Flag icon
Approaching material with a goal of learning it on your own gives you a unique path to mastery.
53%
Flag icon
Neurosurgeon Ben Carson, winner of the Presidential Medal of Freedom for his pioneering surgical innovations, was initially flunking and gently urged to leave medical school.
53%
Flag icon
Research has shown that students learn best when they themselves are actively engaged in the subject instead of simply listening to someone else speak.
54%
Flag icon
Inventor and author William Kamkwamba, born in 1987 in Africa, could not afford to attend school.
54%
Flag icon
American neuroscientist and pharmacologist Candace Pert had an excellent education, earning a doctorate in pharmacology from Johns Hopkins University.
54%
Flag icon
Bill Gates, Larry Ellison, Michael Dell, Mark Zuckerberg, James Cameron, Steve Jobs, and Steve Wozniak, dropped out of college.
54%
Flag icon
We will continue to see fascinating innovations from people who are able to combine the best aspects of traditional and nontraditional learning with their own self-taught approaches.
54%
Flag icon
Taking responsibility for your own learning is one of the most import...
This highlight has been truncated due to consecutive passage length restrictions.
54%
Flag icon
Student-centered learning, where students are challenged to learn from one another and are expected to be their own drivers toward mastery of the material, is extraordinarily powerful.