Solving One Step Equations – Chain Activity | Math

Solving One Step Equations – Chain Activity

MATHEMATIC HISTORY

Mathematics is one of many oldest sciences in human history. In ancient times, Mathematics was defined while the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it is no further possible to explain it in a few sentences. What I have to state now is likely to be words that emphasize its various aspects, as opposed to describe mathematics. In one aspect, mathematics is a skill like painting and music. The great majority of mathematicians perform it as an art. Out of this standpoint, the fact that a work done, a developed theory works in one way or another apart from mathematics doesn’t concern them much. What matters in their mind 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 just a language. If the goal of science could be the universe; When it is to know, rule and direct everything in the universe, we must manage 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. To be able to understand and interpret them, we need to 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 merely a tool because of its user. After entering it, we understand and perceive what mathematics is in your 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 cope with mathematics are more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The term mathematics, for the very first time, BC. It had been employed by the members of the Pythagorean school in the 550s. His entry into the written literature, with Plato BC. It absolutely was in the 380s. The word meaning is “what needs to be learned”, that’s, information. In the years before these dates, as opposed to the word mathematics, words that mean geometry, equal to it in geometry or old languages ​​were used.

It’s difficult to say anything definite about where and how mathematics started. If we take documents which are not based on archaeological findings that need interpretation, but open enough to require interpretation, We can say that it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics started in Egypt. Everbody knows, 97% of the Egyptian lands aren’t suitable for agriculture; It’s the 3% portion that offers life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, by the end of the floods brought on by the Nile river every 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 and every flood, the “geometricists” of the state, who are in charge of these works, should come to take the required measurements and provide the landowners the maximum amount of land as they had in the last year. Herodotus says that geometry has begun to emerge as a result of those measurements and calculations. A second opinion concerning the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was born in Egypt. Nonetheless it was created out of the boredom of clergymen and priests, not the requirement for measurement-calculation brought on by Nile floods. In those days, the only intellectual class of countries such as Egypt was the priest class. Considering that the livelihood of this class is supplied by the general public or their state, they’ve much time for you to share with intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of that time, in the same way others invented games like chess, bridge, and go&hellip ;.Both these views may be true; priests wished to simplify the work of the geometric, or they learned how to calculate the aspects of some geometric shapes such as for instance triangular and trapezoidal to check on that the distribution was fair, and in this way generated the birth of geometry.

We will 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’ll cover an amount of 1000 years, called the Greek Mathematics period, between 500 years. The next term, M.S. It’ll cover a 1200-year period from the 500’s until the start 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 period we are living in, dating back again to the first 1900s, called age modern mathematics, will be the fifth period. I will endeavour to provide details about the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the essential top features of mathematics in that period.

We will start the first 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 will find two main reasons for this. The foremost is that the ancient Egyptians wrote the writing on papyrus; The next reason could be the 3 big fires of the Alexandria libraries, the final of those fires happened through 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 publish text in place of paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages ​​such as “Paper”, “papier” are derived from the word papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it’s flaky as a result of moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to possess been hidden under exceptional circumstances. The main resources of our knowledge of Egyptian mathematics are those two papyri. The very first of the papyrus is a 6-meter long and 35-cm wide papyrus called the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is a copy compiled 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 book written to show math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions are made with their solutions. They’re the kind of questions people can encounter in daily life, such as sharing account, interest calculation, or finding the location of ​​some geometric shapes. That is pretty much our 8th grade mathematics. The 2nd papyrus, referred to as the Moscow papyrus and now in the Moscow museum, can be BC. It is just a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the kind of questions in the Ahmes papyrus, except for the two. Are you aware that other two questions, one of them may be the calculation of the amount and section of ​​the surface of the sphere part cut by a plane. One other could be the question of finding the volume of a pyramid cut by a plane. Both questions were solved correctly. Those two questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians realized that the region of ​​the circle was proportional to its diameter and found how many pi to be 4x (8/9) squared, ie 256/81 = 3.16. It is understood that Egyptian mathematics has remained at this level for 2000 years and has not made any significant progress.

B.C. 600s will be the years when the Persians began to dominate the center east. B.C. By the 550s, Persians are the sole rulers of the entire 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 could be the date that was accepted as the start of Greek civilization. This date is the beginning of an extremely bright period in science, art and literature. Greek mathematics actually started sooner than this period. Two different people, Tales (624-547 BC) and Pythagoras (569-475 BC), are regarded as being the father of Greek mathematics. Tales Milet (Aydın) was also born. It is known that he went along to Egypt, stayed there for a time and learned geometry in Egypt. While in Egypt, it is described in books where he calculates the height of the fantastic pyramid by measuring along the shadow of the great pyramid, multiplying this number by the ratio of its length to the length of the present shadow. After returning to Tales Milet, he taught them geometry by forming friends around him to instruct what he learned. It is assumed that abstract proof based on reasoning, which is not based on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is known as the very first philosopher in human history. He was created on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for a while, went along to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken fully to Babylon by capturing the Persians through the occupation of Egypt by the Persians. it is known. During his 5 years in Babylon, he learned mathematics, music and religious information, and after time for Samos, he created a school and tried to teach the folks he gathered around. For political reasons, BC. He left 518 Samos, settled in southern Italy, in the city of Crotone, where he created a semi-mystical-semi-scientific, cult-like school. The senior folks of this school called “mathematics” live together and they are connected to each other with oath. The 2nd group includes students attending school. Pythagoras school is dependant on number cult. According in their mind, everything can be reduced to numbers; It posseses an unusually perfect harmony among numbers, and harmony is a reflection of the divine harmony. Known numbers for that day are integers indicating the plurality such as 1,2,3,…; and kes, ¾,… are the fractional numbers that indicate the ratio of the part to the whole. The emergence of irrational numbers with the theorem called the Pythagorean theorem (the square of the proper sides of the right triangle equals the square of the hypotenuse) put the Pythagorean school in a heavy crisis. The discovery of irrational numbers is the initial major crisis of mathematics. Most of the members of the Pythagorean school were massacred with a raid led with a big cyber named Cylon. Pythagoras saved his life, but after many years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As may be understood from this information, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.