Bright Ideas Bundled Math Stations: Place Value Games and Centers | Math

Bright Ideas Bundled Math Stations: Place Value Games and Centers

MATHEMATIC HISTORY

Mathematics is one of many 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 explain it in several sentences. What I have to state now is likely to 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 vast majority of mathematicians perform it being an art. From this viewpoint, the truth that a work done, a developed theory works in one of the ways or another other than mathematics doesn’t concern them much. What matters in their mind could be the depth of the work 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 purpose of science is the universe; If it is to know, rule and direct everything in the universe, we should be able to browse 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 need to know the language of mathematics. In another aspect, mathematics can be an intellectual game like chess.

Some mathematicians also view it as a game. Mathematics is only 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 handle mathematics are far more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The word mathematics, for initially, 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 word meaning is “what must be learned”, that’s, information. In the years before these dates, as opposed to the word mathematics, words which means that geometry, equivalent to it in geometry or old languages ​​were used.

It’s extremely hard to state anything definite about where and how mathematics started. When we take documents that aren’t centered on archaeological findings that require interpretation, but open enough to require interpretation, We could say that it started between 3000 and 2000 in Egypt and Mesopotamia. According to Heredotus (485-415 BC), mathematics started in Egypt. As you know, 97% of the Egyptian lands aren’t suited to agriculture; It is the 3% portion that offers life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, by the end of the floods caused 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 the state, that are in charge of these works, should arrived at take the necessary measurements and give the landowners just as much land as they had in the previous year. Herodotus says that geometry has begun to emerge consequently of the measurements and calculations. An additional opinion in regards to the birth of mathematics is the main one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics was created in Egypt. But it was created out from the boredom of clergymen and priests, not the necessity for measurement-calculation brought on by Nile floods. During those times, the only intellectual class of countries such as for example Egypt was the priest class. Considering that the livelihood of the class is supplied by people or the state, they’ve much time to give to intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of that point, just as others invented games like chess, bridge, and go&hellip ;.These two views may be true; priests wanted to simplify the task of the geometric, or they learned just how to calculate the regions of some geometric shapes such as for example triangular and trapezoidal to check on that the distribution was fair, and in this way resulted in the birth of geometry.

We will divide the written history of mathematics into five periods. The initial 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 second period, BC. 500-M.S. It will cover an amount of 1000 years, called 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 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 are surviving in, dating back again to early 1900s, called the age of modern mathematics, would be the fifth period. I will endeavour to give information regarding the development of mathematics for the reason that period, contributing mathematicians, the place of mathematics in social life and the fundamental 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 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 last 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, on average 15-25 meters long and 30-50 inches wide. These leaves were used to create 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 phrase papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it’s flaky because of moisture, heat and similar reasons. Up to now, two papyrus related to mathematics appear to possess been hidden under exceptional circumstances. The key resources of our knowledge of Egyptian mathematics are these two papyri. The very first of these 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 published 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 show operations with fractional numbers, 87 questions receive 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 location of ​​some geometric shapes. That is pretty much our 8th grade mathematics. The 2nd papyrus, called 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 sort of questions in the Ahmes papyrus, except for the two. When it comes to other two questions, one is the calculation of the quantity and area of ​​the surface of the sphere part cut by way of a plane. The 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 because the pinnacle of Egyptian mathematics. The Egyptians seen that the area 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 only at that level for 2000 years and has not made any significant progress.

B.C. 600s would be the years once the Persians started 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, 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 very bright period in science, art and literature. Greek mathematics actually started earlier than this period. A couple, 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 he visited Egypt, stayed there for a while and learned geometry in Egypt. Whilst in 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 size of the existing shadow. After time for Tales Milet, he taught them geometry by forming an organization around him to instruct what he learned. It is assumed that abstract proof centered on reasoning, which is not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is known as the very 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, visited Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up to Babylon by capturing the Persians during 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 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 people of this school called “mathematics” live together and they are connected to one another with oath. The 2nd group consists of students attending school. Pythagoras school is founded on number cult. According for them, everything could be reduced to numbers; It has 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 for instance 1,2,3,…; and kes, ¾,… would be 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 heavy 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 with 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 cornerstone of Greek mathematics.

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