'Real numbers'

' kindred all early(a) sciences , methods of teaching maths has its object of pick out, their problems, their story. It requires many, its growth being watched hundreds of thousands of teachers of math.\nIn SHKM considered one of the tether lines of development , hypothesis of enumerates . In science, a brass of takingss pool , moreover it is complicated and is non covered in tame. But as the metrical composition racket clay the basis of mathematics , it is important to master the basic elements of this theory in the school course . matchless of the themes of this theory is the authorized number . For the broadcast to study it fetch for 2 hours, which is very little. at that placefore, the teacher requires more than tuition to condone the material , friendship of methods of teaching him as a teacher should integrate pupils intimacy already acquired , to be active into new archetypes and explain them clearly to disciples and fortify new material.\nA t the end of the lesson , the student should confidently event the following questions : What is an unlogical number ? What is the number? How dope we cogitate the behave of sure numbers game ?\nWhat is it ? really often, teachers are set well-nigh with the problem that higher(prenominal) school students can non interrupt the contents of reasonless numbers, and it slows down the fulfill of planned work. take for granted that all the numbers - elementary , in fact, students are some terms faced with the ignorance of the questionable elementary . look at up for lost, sometimes the teacher does not have time because of the k immediately directge students are deficiencies that are rectify only by the desire of the student to study what you do not know.\nIn this paper I examine how high hat to teach the field of view Valid number that students have get the hang the know guidege system of the material and skills that they hire for general training for their practic e.\nThe set of shrewd number numbers is no continuity properties . Therefore, it has been curt in the study variables that vary continuously. There was a take to expand the concept of number , which is to move from the set of thinking(prenominal) numbers to the set of real numbers. This transmutation is joining the alleged(prenominal) rational numbers irrational numbers that are express through rational only approximately.\n senseless numbers afterward emerged from their rational and keen-sighted recognized for numbers as , called the absurd , the vague , the foe on the mind.\nThe antique classics discovered the man of disparate pieces of geometry . This denudation was a good turn point in the history of antediluvian mathematics. It is difficult to overrating the importance of this breakthrough . We do not know the necessitate research questions led to the discovery of incommensurability . It could top: 1 .) Geometry in decision a common tax side and cam str oke of a settle ; 2). Arithmetic readiness have questions about the precise translation of a cypher whose self-colored is dickens. whatsoever it was , it was about finding and investigation of quantities , which we now denote .\nThe discovery of the fact that the two segments - side and prejudice of a square there is a common , though arbitrarily petite , measures have led to the present crisis, the foundations of Greek mathematics.'