Paper Math Games: Fractions and Multiplication | Math

# Paper Math Games: Fractions and Multiplication

Paper Math Games: Fractions and Multiplication – fun way for kids to practice math skills at home. Love!

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 as time passes; it’s no longer possible to spell it out it in a few sentences. What I have to express now is likely 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. A large proportion of mathematicians perform it being an art. Using this point of view, the fact a work done, a developed theory works in one way or another besides mathematics does not concern them much. What matters for them 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 really a language. If the purpose of science is the universe; When it is to know, rule and direct everything in the universe, we must be able 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 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 merely 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 is currently far beyond the dimensions any human can rule. Therefore, I don’t believe that those who handle mathematics are far 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 to the written literature, with Plato BC. It absolutely was in the 380s. The term 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, equivalent 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 aren’t based 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. Based on Heredotus (485-415 BC), mathematics started in Egypt. As you know, 97% of the Egyptian lands aren’t ideal for agriculture; It is the 3% portion that gives 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 annually, the boundaries of the landowners’lands become obscure. Since the landowners also pay taxes in proportion to the land they own, after every flood, the “geometricists” of the state, who are accountable for these works, should come to take the required measurements and supply the landowners just as much land as they’d in the earlier year. Herodotus says that geometry has begun to emerge as a result 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). Based on Aristotle, mathematics was created in Egypt. Nonetheless it was created out of the boredom of clergymen and priests, not the requirement for measurement-calculation caused by Nile floods. In those days, the only real intellectual class of countries such as Egypt was the priest class. Since the livelihood with this class is supplied by people or their state, they’ve much time and energy to share with 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 ;.Both of these views may be true; priests desired to simplify the task of the geometric, or they learned how to calculate the regions of some geometric shapes such as for instance triangular and trapezoidal to check on that the distribution was fair, and in this manner generated the birth of geometry.

We shall divide the written history of mathematics into five periods. The very first period is going to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover an amount of 1500-2000 years between 500s. The next period, BC. 500-M.S. It will cover an amount of 1000 years, known as the Greek Mathematics period, between 500 years. The next 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 residing in, dating back to early 1900s, called age modern mathematics, could be the fifth period. I will try to provide information about the development of mathematics in that period, contributing mathematicians, the area of mathematics in social life and the essential features of mathematics for the reason that period.

We shall 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. There are two significant reasons for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The 2nd reason is the 3 big fires of the Alexandria libraries, the past of these 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, typically 15-25 meters long and 30-50 inches wide. These leaves were used to publish 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 word papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it’s flaky as a result of moisture, heat and similar reasons. To date, two papyrus related to mathematics appear to possess been hidden under exceptional circumstances. The key sources of our knowledge of Egyptian mathematics are those two papyri. The initial of the papyrus is a 6-meter long and 35-cm wide papyrus known as the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is really 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 guide written to teach math. In the introduction part, after a few exercises given to teach operations with fractional numbers, 87 questions are given making use of their solutions. They’re the type of questions people can encounter in daily life, such as for example sharing account, interest calculation, or finding the region of ​​some geometric shapes. That is just about our 8th grade mathematics. The next papyrus, called the Moscow papyrus and now in the Moscow museum, is also BC. It is really 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 may be the calculation of the quantity and part of ​​the surface of the sphere part cut with a plane. One other may be 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 location 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 is understood that Egyptian mathematics has remained only at that level for 2000 years and hasn’t made any significant progress.

B.C. 600s will be the years once the Persians started to dominate the center 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, annually 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 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 daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is known he went along to Egypt, stayed there for some time and learned geometry in Egypt. While in Egypt, it is described in books where he calculates the height of the great pyramid by measuring the length of the shadow of the great pyramid, multiplying this number by the ratio of its length to along the current shadow. After time for Tales Milet, he taught them geometry by forming friends around him to show what he learned. It is assumed that abstract proof based on reasoning, which will be not based on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is considered the initial philosopher in human history. He came to be on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for a time, visited 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 is 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 folks of this school called “mathematics” live together and they’re connected to each other with oath. The second group consists of students attending school. Pythagoras school is based on number cult. According to them, 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 for instance 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 strong crisis. The discovery of irrational numbers is the first major crisis of mathematics. Most of the members of the Pythagorean school were massacred by way of a raid led by a big cyber named Cylon. Pythagoras saved his life, but after a couple of years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As can be understood from these details, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.