Scheduling your Math Block in Elementary | Continually Learning #teaching #math … | Math

Scheduling your Math Block in Elementary | Continually Learning #teaching #math …

Scheduling your Math Block in Elementary | Continually Learning #teaching #math #stations #schedule #planning

MATHEMATIC HISTORY

Mathematics is one of the oldest sciences in human history. In ancient times, Mathematics was defined since the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it is no further possible to describe it in several sentences. What I’ve to express now will undoubtedly be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art form like painting and music. The vast majority of mathematicians perform it as an art. Out of this perspective, the fact a work done, a developed theory works in one way or another apart from mathematics does not concern them much. What matters for them may be the depth of the task done, the novelty of the strategy used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the goal of science could be the universe; When it is to understand, rule and direct everything in the universe, we ought to 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 can be 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 within our knowledge and in the direction of our interest. Mathematics has become far beyond the dimensions any human can rule. Therefore, I don’t believe those that cope with mathematics are far more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The phrase mathematics, for initially, BC. It had been utilized by the members of the Pythagorean school in the 550s. His entry to the written literature, with Plato BC. It had been in the 380s. The phrase meaning is “what must be learned”, that’s, 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’s difficult to express anything definite about where and how mathematics started. When we take documents which are not centered on archaeological findings that need interpretation, but open enough to require interpretation, We could say so it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics were only available in Egypt. Everbody knows, 97% of the Egyptian lands are not 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 due to the Nile river each year, the boundaries of the landowners’lands become obscure. Since the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of their state, who are in charge of these works, should come to take the mandatory measurements and supply the landowners as much land as they had in the previous year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. Another opinion concerning the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics was born in Egypt. Nonetheless it was created out from the boredom of clergymen and priests, not the need for measurement-calculation due to 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 with this class is supplied by the general public or their state, they have much time and energy 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 ;.These two views may be true; priests wished to simplify the task of the geometric, or they discovered how to calculate the aspects of some geometric shapes such as for example triangular and trapezoidal to check 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 very first period will be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll 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 3rd 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, known as the golden age of mathematics, dating from 1700-1900. The time we’re living in, dating back again to the early 1900s, called age modern mathematics, would be the fifth period. I will endeavour to give information about the development of mathematics because period, contributing mathematicians, the place of mathematics in social life and the fundamental features of mathematics in that period.

We will start the very 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 major causes 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 last of those fires happened during 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, an average of 15-25 meters long and 30-50 inches wide. These leaves were used to write text rather than paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages ​​such as “Paper”, “papier” are derived 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 sources of our knowledge of Egyptian mathematics are these two papyri. The initial of these papyrus is really 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 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 show operations with fractional numbers, 87 questions are made with their solutions. These are the type of questions people can encounter in everyday life, such as for example sharing account, interest calculation, or finding the region of ​​some geometric shapes. This really is pretty much our 8th grade mathematics. The second papyrus, known as the Moscow papyrus and now in the Moscow museum, is also 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, aside from the two. When it comes to other two questions, one could be the calculation of the volume and section of ​​the surface of the sphere part cut with a plane. One other may be the question of finding the quantity of a pyramid cut by way of a plane. Both questions were solved correctly. Those two questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians realized that the area 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’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 middle east. B.C. By the 550s, Persians are the only 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, a year later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 could be the date that has been accepted as the start of Greek civilization. This date is the start of a very bright period in science, art and literature. Greek mathematics actually started earlier than this period. Two different 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 known 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 fantastic pyramid by measuring the length of the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to the length of the current shadow. After returning to Tales Milet, he taught them geometry by forming an organization around him to instruct what he learned. It’s assumed that abstract proof based on reasoning, which is not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is considered the first philosopher in human history. He was born on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for a while, went to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken to Babylon by capturing the Persians through 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 instruct 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 people of this school called “mathematics” live together and they’re connected together with oath. The next group contains students attending school. Pythagoras school is based on number cult. According in their mind, everything can be reduced to numbers; It comes with 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,… are the fractional numbers that indicate the ratio of the part to the whole. The emergence of irrational numbers with the theorem referred to 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 strong crisis. The discovery of irrational numbers is the first major crisis of mathematics. Lots 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 few 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 foundation of Greek mathematics.

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