Thinking man

Duality between education and teaching professionals have one that is now completely clear on the other side: Math. Not for nothing that they say it is "pure." It has no connection to life. From Pythagoras's theorem can not conclude act anything interesting about feelings, and solving quadratic equations can not learn anything about the purpose of life. Of course, unless you're a mathematician, then the Pythagorean theorem is for you purpose in life. And as a mathematician, I actually agree with this view. Nothing is beautiful and deep mathematical sentence is important.
Some believe Slmtmtika has philosophical implications. But anyone who thinks that does not understand what is mathematics, and probably not what philosophy (apparently no one understands). Discussion algebra problem can not be adjusted so that you touch on the question of justice, and study geometric problem will not reach the question act of whether to believe in a supernatural entity or not. Math is designed to describe the physical reality, not mental. And certainly can not describe the spiritual reality, those who believe there is such a thing.
(Although there are literature "proof" mathematical existence of God, famous ones is that of the logician Kurt Godel., But do not take them more seriously than 'proof is not mathematical type. Grew wrote the proof in old age and emotional act appeal, and made sure nothing be published before his death.)
And yet - there is a connection. Mathematics has implications for life. Even where, as in other fields, the polarization between education and instruction is simulated. Mathematics affects not only those who study life on pure intellectual, but also touches the depths of their souls. And it does so in two different ways. The first is that dealing with teaching mathematics to think a certain way, and this way of thinking affects the approach of dealing with her life everybody. The second is understanding achieved through mathematics: mathematical theories are those that contributed to understanding what the rest of all human thinking. These two effects act on understanding the life I want to write this article.
Before I answer the question of how mathematics connects education, I will try to explain what mathematics at all. Not a simple question - most mathematicians, act if you ask them what they are dealing with difficulty to answer. Most of them fire you with a polite smile and again engage in a problem they think of it at the moment.
So let's ask first - what does science? The world has templates, and science is trying to build in the minds of men their mirror images. Good science reveals deep and hidden patterns. For example, natural selection template exists in the animal world, but is not visible because it relates to the past, which we can not see. However, it completes the picture of the puzzle (puzzle) of biology perfectly. An understanding of this process act is to create a suitable act structure in the brain, which connects many biological concepts together. Brain patterns allow us to predict how the outside world will behave, and adjust our behavior to it.
Thinking man's verbal concepts take shape. We matched words templates and connectors that suits the words in relations between the formats. But keep in mind that words are nothing but froth, external manifestations deeper brain structures. The fact is that in the circuitry animals act made without the mediation of words. How all this really happening in the brain - we still know today. But the lack of knowledge that can be summed up in the brain that science builds conceptual patterns that fit into the world.
Mathematics comes the second stage. Unlike science, it is not looking in reality, but in terms. She discovers act the legal structures we have created in our minds. For example, we built the concept of number, no need to even look at reality to calculate how much they are 6:2. Consequence of the rules that the numbers obey them. Mathematician receives a set of rules, and learn the conclusions from them. And lo and behold - this investigation is also indicative of reality. That those relationships have in reality. You can then return to reality, and build on these rules bridges, spacecraft and computers.
"Tiered" means that mathematics, more than any other thinking - far more - is built on top floor Floor. Mathematical argument is usually very long, and relies on a lot of stages that preceded act it, and a lot of knowledge before. If all the steps unfolds act a complex mathematical proof, she catch books. Other areas have tiered, but not as much. Mathematics is much more complex than other areas.
How can you keep such a complex brain structures? The secret is a component of the building connect to each other rigid connections. He was a literary man trying to build something so complex it would have failed, because the concepts hold each other loosely, and the tower would collapse soon. Math connections are stable. This is another way of saying that mathematics is committed to accuracy. There is no such thing as proof of "value." act Hiuristeim act arguments are much appreciated mathematics. What is not exactly proof does not exist.
Complexities of mathematics and its accuracy connect one point: discipline. To meet these two requirements pose, serious thinking is needed discipline. You may not lapse hallucinations. That is, you must respect the reality. Place it in front of your wishes and thoughts your heart.
This reminds me of something my friend said he retired from the mathematics. He explained that his retirement when he thinks of a mathematical problem clear to him that the problem is much more important to him. He can not play it. Is there, and her servant, in the sense that he can not play himself, make up whatever he wants.
For most mathematicians is actually attractive feature Mathematics: Honor the world. Realization that there is something important to you and your wishes. Rabbi Simcha Bunim, act a leader of Hasidic Polish city Peshischa, said "There will always be a person two pockets. One term paper: 'I am but dust, and two:" For me the world was created. "Mathematics teaching, who is willing to learn it, the first two lessons these. And understanding man's act status in the world, and the human individual in general, is to me an important educational element.
There is another requirement stems from the complexity of mathematics: a job. Like all other skills - music, for example, you wish