Letter F Activities | Preschool Lesson Plans
Mathematics is one of the oldest sciences in human history. In ancient times, Mathematics was defined as the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it is no more possible to describe it in a few sentences. What I’ve to state now will undoubtedly be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is a skill like painting and music. The great majority of mathematicians perform it being an art. Using this point of view, the truth that a work done, a developed theory works in one of the ways or another apart from mathematics does not concern them much. What matters in their mind may be the depth of the work done, the novelty of the strategy used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is just a language. If the objective of science is the universe; If it’s to comprehend, rule and direct everything in the universe, we should 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. In order to understand and interpret them, we have to know the language of mathematics. In another aspect, mathematics is definitely an intellectual game like chess.
Some mathematicians also view it as a game. Mathematics is just a tool for its user. After entering it, we understand and perceive what mathematics is in your knowledge and in the direction of our interest. Mathematics has become far beyond the dimensions any human can rule. Therefore, I don’t believe people who cope with mathematics are far more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The term mathematics, for the first time, BC. It was used by the members of the Pythagorean school in the 550s. His entry to the written literature, with Plato BC. It absolutely was in the 380s. The term meaning is “what needs to be learned”, that is, information. In the years before these dates, instead of the word mathematics, words which means that geometry, comparable to it in geometry or old languages were used.
It is not possible to say anything definite about where and how mathematics started. If we take documents that are not centered on archaeological findings that require interpretation, but open enough to require interpretation, We can say that it started between 3000 and 2000 in Egypt and Mesopotamia. According to Heredotus (485-415 BC), mathematics were only available in Egypt. As you know, 97% of the Egyptian lands aren’t suitable for agriculture; It’s the 3% portion that gives life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, at the conclusion 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 are responsible for these works, should come to take the required measurements and provide the landowners just as much land as they had in the last year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. Another opinion in regards to the birth of mathematics is the main one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was born in Egypt. However it was created from the boredom of clergymen and priests, not the necessity for measurement-calculation brought on by Nile floods. During those times, the only real intellectual class of countries such as for instance Egypt was the priest class. Considering that the livelihood of the class is provided by the general public or their state, they have much time to share with intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that time, just as others invented games like chess, bridge, and go&hellip ;.Both these views may be true; priests wanted to simplify the job of the geometric, or they found out how to calculate the areas 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 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 an amount of 1500-2000 years between 500s. The next period, BC. 500-M.S. It will cover a period of 1000 years, known as the Greek Mathematics period, between 500 years. The 3rd term, M.S. It will 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, known as the golden age of mathematics, dating from 1700-1900. The period we are residing in, dating back to early 1900s, called the age of modern mathematics, will be the fifth period. I will attempt to provide information about the development of mathematics in that period, contributing mathematicians, the area of mathematics in social life and the basic features of mathematics in that period.
We will 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 will find two significant reasons for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The second reason could be the 3 big fires of the Alexandria libraries, the final of the fires happened throughout the conquest of Egypt by 641 Muslims, the written documents disappeared. Papyrus could be the leaves of a reddish, reed type plant growing in the Nile delta, normally 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 based on the word 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 related to mathematics appear to have been hidden under exceptional circumstances. The main resources of our understanding 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 are 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 teach math. In the introduction part, after having a few exercises given to teach operations with fractional numbers, 87 questions are made using their solutions. They are the kind of questions people can encounter in lifestyle, such as sharing account, interest calculation, or finding the area of some geometric shapes. That is more or less our 8th grade mathematics. The second 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 type of questions in the Ahmes papyrus, aside from the two. As for the other two questions, one is the calculation of the quantity and section of the surface of the sphere part cut with a plane. Another is the question of finding the volume of a pyramid cut with a plane. Both questions were solved correctly. These two questions are accepted while the pinnacle of Egyptian mathematics. The Egyptians seen that the region of the circle was proportional to its diameter and found the number of pi to be 4x (8/9) squared, ie 256/81 = 3.16. It’s understood that Egyptian mathematics has remained as of 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 only real 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, a year 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 sooner than this period. A couple, 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 known that he visited Egypt, stayed there for some time and learned geometry in Egypt. Whilst in Egypt, it is described in books where he calculates the height of the truly amazing pyramid by measuring the size of the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to the size of the present shadow. After time for Tales Milet, he taught them geometry by forming friends around him to instruct what he learned. It’s assumed that abstract proof centered on reasoning, which will be not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is considered the initial philosopher in human history. He was created on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for some time, went along to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up 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 returning to Samos, he created a college and tried to instruct individuals 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 people of this school called “mathematics” live together and they’re connected to each other with oath. The next group contains students attending school. Pythagoras school is based on number cult. According in their mind, 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 for example 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 deep crisis. The discovery of irrational numbers is the initial major crisis of mathematics. Many of the members of the Pythagorean school were massacred with a raid led by 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 can be understood from this information, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.