The Elementary Math Maniac: Teaching Math With You Tube Videos: Area and Perimeter
Mathematics is one of the oldest sciences in human history. In ancient times, Mathematics was defined because the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it is no more possible to spell it out it in several sentences. What I’ve to say now is likely to be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is a skill like painting and music. A large proportion of mathematicians perform it as an art. Using this point of view, the truth that a work done, a developed theory works in one way or another besides mathematics does not concern them much. What matters for them may be the depth of the job done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the goal of science may be the universe; If it’s to understand, rule and direct everything in the universe, we ought to be able to see the book of nature. The book of nature is written in the language of mathematics, with the highly cited words of Galile; its letters are shapes of geometry. In order to understand and interpret them, we must know the language of mathematics. In another aspect, mathematics is an intellectual game like chess.
Some mathematicians also see it as a game. Mathematics is only a tool because of its user. After entering it, we understand and perceive what mathematics is within our knowledge and in the direction of our interest. Mathematics is now far beyond the dimensions any human can rule. Therefore, I don’t believe that people who handle mathematics are more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The term mathematics, for the very first time, BC. It had been utilized by the members of the Pythagorean school in the 550s. His entry in to the written literature, with Plato BC. It had been in the 380s. The term meaning is “what must be learned”, that’s, information. In the years before these dates, rather than the word mathematics, words that mean geometry, equivalent to it in geometry or old languages were used.
It is difficult to state anything definite about where and how mathematics started. When we take documents which are not based on archaeological findings that need interpretation, but open enough to require interpretation, We are able to say so it started between 3000 and 2000 in Egypt and Mesopotamia. Based on Heredotus (485-415 BC), mathematics started in Egypt. Everbody knows, 97% of the Egyptian lands aren’t suitable for agriculture; It is the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, at the end of the floods brought on by the Nile river each year, the boundaries of the landowners’lands become obscure. Considering that the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of their state, who’re accountable for these works, should come to take the mandatory measurements and supply the landowners as much land as they’d in the last year. Herodotus says that geometry has begun to emerge consequently of these measurements and calculations. Another opinion in regards to the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics was created in Egypt. Nonetheless it was born from the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. In those days, the only intellectual class of countries such as Egypt was the priest class. Considering that the livelihood with this class is provided by people or their state, they have much time to give intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that point, in the same way others invented games like chess, bridge, and go&hellip ;.Both these views may be true; priests desired to simplify the job of the geometric, or they learned just how to calculate the aspects of some geometric shapes such as for instance triangular and trapezoidal to check that the distribution was fair, and in this manner led to the birth of geometry.
We shall divide the written history of mathematics into five periods. The first period will soon be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover a period of 1500-2000 years between 500s. The 2nd period, BC. 500-M.S. It will cover a period of 1000 years, called the Greek Mathematics period, between 500 years. The third term, M.S. It’ll cover a 1200-year period from the 500’s until the beginning of calculus and will mainly cover European mathematics in the Hind, Islam and Renaissance era. The fourth semester will cover the classical mathematics era, referred to as the golden age of mathematics, dating from 1700-1900. The time scale we are surviving in, dating back once again to early 1900s, called age modern mathematics, could be the fifth period. I will try to give information regarding the development of mathematics for the reason that period, contributing mathematicians, the place of mathematics in social life and the essential top features of mathematics in that period.
We shall start the initial semester with Egyptian mathematics. Written documents about ancient Egyptian mathematics and generally Egyptian history – I don’t mean the remains of archaeological works – are almost nonexistent. You can find two major causes for this. The first is that the ancient Egyptians wrote the writing on papyrus; The next reason is the 3 big fires of the Alexandria libraries, the past of those fires happened throughout the conquest of Egypt by 641 Muslims, the written documents disappeared. Papyrus may be the leaves of a reddish, reed type plant growing in the Nile delta, typically 15-25 meters long and 30-50 inches wide. These leaves were used to write text as opposed to paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages such as “Paper”, “papier” are produced from the term papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it is flaky as a result of moisture, heat and similar reasons. Up to now, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The main sourced elements of our understanding of Egyptian mathematics are those two papyri. The first of the papyrus is a 6-meter long and 35-cm wide papyrus referred to as the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is just a copy written by a “mathematician” named Ahmes in the 1650s. This papyrus was bought by the Irish antiquarian H. Rhind in the 1850s, now in the British museum. This papyrus is a guide written to instruct math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions are shown making use of their solutions. They’re the kind of questions people can encounter in daily life, such as for example sharing account, interest calculation, or finding the location of some geometric shapes. That is more or less our 8th grade mathematics. The 2nd papyrus, known as the Moscow papyrus and now in the Moscow museum, can be BC. It is really a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the type of questions in the Ahmes papyrus, with the exception of the two. Are you aware that other two questions, one of them may be the calculation of the volume and area of the surface of the sphere part cut by way of a plane. The other is the question of finding the volume of a pyramid cut with a plane. Both questions were solved correctly. Both of these questions are accepted while the pinnacle of Egyptian mathematics. The Egyptians seen that the location of the circle was proportional to its diameter and found the amount of pi to be 4x (8/9) squared, ie 256/81 = 3.16. It is understood that Egyptian mathematics has remained as of this level for 2000 years and has not made any significant progress.
B.C. 600s are the years once the Persians started initially to dominate the middle east. B.C. By the 550s, Persians are the only real rulers of the whole middle east, including Anatolia and Egypt. The Persians organize three trips to Greece between 500-480 BC; They captured Athens in 480, but burned it, annually later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 is the date which was accepted as the start of Greek civilization. This date is the start of a really bright period in science, art and literature. Greek mathematics actually started earlier than this period. Two people, Tales (624-547 BC) and Pythagoras (569-475 BC), are regarded as being the daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is famous he went along to Egypt, stayed there for a time and learned geometry in Egypt. While in Egypt, it’s described in books where he calculates the height of the truly amazing pyramid by measuring the size of the shadow of the great pyramid, multiplying this number by the ratio of its length to the length of the present shadow. After time for Tales Milet, he taught them geometry by forming a group around him to teach what he learned. It’s assumed that abstract proof based on reasoning, that is not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is considered the initial philosopher in human history. He came to be on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for a time, went to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up to Babylon by capturing the Persians throughout the occupation of Egypt by the Persians. it’s known. During his 5 years in Babylon, he learned mathematics, music and religious information, and after returning to Samos, he created a school and tried to show the folks he gathered around. For political reasons, BC. He left 518 Samos, settled in southern Italy, in the town of Crotone, where he created a semi-mystical-semi-scientific, cult-like school. The senior people of this school called “mathematics” live together and they’re connected together with oath. The 2nd group consists of students attending school. Pythagoras school is dependant on number cult. According to them, everything could be reduced to numbers; It posseses an unusually perfect harmony among numbers, and harmony is really a reflection of the divine harmony. Known numbers for that day are integers indicating the plurality such as 1,2,3,…; and kes, ¾,… will be the fractional numbers that indicate the ratio of the part to the whole. The emergence of irrational numbers with the theorem known as the Pythagorean theorem (the square of the best sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a strong crisis. The discovery of irrational numbers is the first major crisis of mathematics. Many of the members of the Pythagorean school were massacred by a raid led by a big cyber named Cylon. Pythagoras saved his life, but after a couple of years he died. Pythagoras’thoughts, the Pythagorean school lived for several years under this or that name. As can be understood from this information, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.