5 Data-Driven Math Websites for Students (Upper Elementary Snapshots) | Math

5 Data-Driven Math Websites for Students (Upper Elementary Snapshots)

5 Data-Driven Math Websites for Students | Upper Elementary Snapshots | Bloglovin’

MATHEMATIC HISTORY

Mathematics is one of many 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 as time passes; it’s no more possible to describe it in several sentences. What I have to say now is going to be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is an art form like painting and music. The great majority of mathematicians perform it as an art. From this viewpoint, the truth that a work done, a developed theory works in one way or another besides mathematics doesn’t concern them much. What matters in their mind may be the depth of the task done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is really a language. If the objective of science is the universe; If it is to understand, rule and direct everything in the universe, we must have the ability to read 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 must know the language of mathematics. In another aspect, mathematics is an intellectual game like chess.

Some mathematicians also notice it as a game. Mathematics is only a tool for the user. After entering it, we understand and perceive what mathematics is inside our knowledge and in the direction of our interest. Mathematics is currently far beyond the dimensions any human can rule. Therefore, I do not think that people who deal with mathematics tend to be more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The phrase mathematics, for the first time, BC. It was 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 word meaning is “what needs to be learned”, that’s, information. In the years before these dates, rather than the word mathematics, words that mean geometry, equal to it in geometry or old languages ​​were used.

It is difficult to express 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 so 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 are not ideal for agriculture; It is the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are really valuable. However, at the end of the floods due to the Nile river every year, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after each and every flood, the “geometricists” of their state, that are accountable for these works, should come to take the required measurements and provide 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. A second opinion in regards to the birth of mathematics is the main one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics was born in Egypt. But it was created out of the boredom of clergymen and priests, not the necessity for measurement-calculation due to Nile floods. In those days, the sole intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood of this class is supplied by people or their state, they’ve much time to share with intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of the period, just as others invented games like chess, bridge, and go&hellip ;.Both these views might be true; priests desired to simplify the task of the geometric, or they found out how exactly to calculate the regions of some geometric shapes such as for instance triangular and trapezoidal to check that the distribution was fair, and this way generated the birth of geometry.

We shall divide the written history of mathematics into five periods. The very 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 second period, BC. 500-M.S. It will cover a period of 1000 years, referred to as the Greek Mathematics period, between 500 years. The third 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 time scale we’re surviving in, dating back to the first 1900s, called the age of modern mathematics, could be the fifth period. I will attempt to give details about the development of mathematics because period, contributing mathematicians, the place of mathematics in social life and the basic top features of mathematics in that period.

We shall 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 can find two significant reasons for this. The foremost 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 the fires happened through the conquest of Egypt by 641 Muslims, the written documents disappeared. Papyrus is the leaves of a reddish, reed type plant growing in the Nile delta, on average 15-25 meters long and 30-50 inches wide. These leaves were used to write text instead of paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages ​​such as “Paper”, “papier” are produced from the phrase 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. Up to now, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The main sources of our knowledge of Egyptian mathematics are both of these papyri. The very first of the papyrus is just a 6-meter long and 35-cm wide papyrus known as the Ahmes (or Rhind) papyrus. This papyrus, BC. You are 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 book written to instruct math. In the introduction part, after a few exercises given to teach operations with fractional numbers, 87 questions are shown with their solutions. They’re the type of questions people can encounter in lifestyle, such as for example sharing account, interest calculation, or finding the area of ​​some geometric shapes. This really is just about our 8th grade mathematics. The second papyrus, referred to as the Moscow papyrus and now in the Moscow museum, can also be BC. It is just a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the sort of questions in the Ahmes papyrus, except for the two. Are you aware that other two questions, one is the calculation of the amount and section of ​​the surface of the sphere part cut with a plane. One other is the question of finding the amount of a pyramid cut by a plane. Both questions were solved correctly. Those two questions are accepted whilst the pinnacle of Egyptian mathematics. The Egyptians seen 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 as of this level for 2000 years and hasn’t made any significant progress.

B.C. 600s will be the years when the Persians started initially to dominate the middle east. B.C. By the 550s, Persians are the sole 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, per 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 beginning 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 that he went along to Egypt, stayed there for a while and learned geometry in Egypt. During 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 size of the present shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to teach what he learned. It’s assumed that abstract proof centered on reasoning, which can be not centered on mathematics – experimental verification, entered into Tales. In addition, Tales is the one who is recognized 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 some time, went along to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken to Babylon by capturing the Persians throughout 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 college and tried to show individuals 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 individuals of this school called “mathematics” live together and they’re connected to each other with oath. The next group consists of students attending school. Pythagoras school is dependant on number cult. According in their mind, everything may be reduced to numbers; It comes with an unusually perfect harmony among numbers, and harmony is just a reflection of the divine harmony. Known numbers for that day are integers indicating the plurality such as for instance 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 right sides of the right triangle equals the square of the hypotenuse) put the Pythagorean school in a deep crisis. The discovery of irrational numbers is the very first major crisis of mathematics. Many 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 a few years he died. Pythagoras’thoughts, the Pythagorean school lived for many years under this or that name. As may be understood from this information, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.

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