A Quote by Catherine Asaro

To solve math problems, you need to know the basic mathematics before you can start applying it. — © Catherine Asaro
To solve math problems, you need to know the basic mathematics before you can start applying it.
Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world.
For all the time schools devote to the teaching of mathematics, very little (if any) is spent trying to convey just what the subject is about. Instead, the focus is on learning and applying various procedures to solve math problems. That's a bit like explaining soccer by saying it is executing a series of maneuvers to get the ball into the goal. Both accurately describe various key features, but they miss the what and the why of the big picture.
It is impossible to overstate the imporance of problems in mathematics. It is by means of problems that mathematics develops and actually lifts itself by its own bootstraps... Every new discovery in mathematics, results from an attempt to solve some problem.
Most people will solve the problems they know how to solve. Roughly speaking they will solve B+ problems instead of A+ problems. A+ problems are high impact problems for your company but they're difficult problems.
We need to start thinking about the needs of the American people before we go and solve everybody else's problems.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
Discipline is the basic set of tools we require to solve life’s problems. Without discipline we can solve nothing. With only some discipline we can solve only some problems. With total discipline we can solve all problems.
Before the math and the momentum overwhelm us all, we are going to solve this nation's economic problems. And I'm going to level with you: We don't have that much time. But if we are serious, and smart, and we lead, we can do this.
I'm an electrical engineer. Honestly, I think we have too many lawyers in Washington. Maybe we need some more engineers. They're trained to solve problems, and we can actually do math, which is a desperately needed skill back there.
I like science and mathematics. When I say mathematics, I don't mean algebra or math in that sense, but the mathematics of things.
No scientist is admired for failing in the attempt to solve problems that lie beyond his competence. ... Good scientists study the most important problems they think they can solve. It is, after all, their professional business to solve problems, not merely to grapple with them.
If we want to raise young adults who know how to solve problems, we must let them have problems to solve while they are still adolescents.
The world is colors and motion, feelings and thoughts and what does math have to do with it? Not much, if 'math' means being bored in high school, but in truth mathematics is the one universal science. Mathematics is the study of pure pattern and everything in the cosmos is a kind of pattern.
Remember this. We are always looking for problems to solve, and to solve problems we need to be ready for clues. And you will never be in the receiving frame of mind if you – never – shut - up!
If I had criteria, it would just be that I want to play active people who can solve problems, not people who have things thrust in their lap and need somebody to solve their problems for them.
And I've come to the place where I believe that there's no way to solve these problems, these issues - there's nothing that we can do that will solve the problems that we have and keep the peace, unless we solve it through God, unless we solve it in being our highest self. And that's a pretty tall order.
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