Back to School Math Activities – Sharing Kindergarten | Math

# Back to School Math Activities – Sharing Kindergarten

30+ of the Best Hands-on Ways to Teach Fractions

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’s no further possible to explain it in a few sentences. What I’ve to state now is likely to be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art 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 other than mathematics doesn’t concern them much. What matters to them may be the depth of the job 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 objective of science is the universe; If it’s to know, rule and direct everything in the universe, we ought to manage 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 is an intellectual game like chess.

Some mathematicians also view it as a game. Mathematics is merely a tool because of its 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 believe that people who handle mathematics are far more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The phrase mathematics, for initially, BC. It absolutely was used by the members of the Pythagorean school in the 550s. His entry to the written literature, with Plato BC. It was in the 380s. The phrase 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, equivalent to it in geometry or old languages ​​were used.

It is not possible to express anything definite about where and how mathematics started. When we take documents that aren’t predicated 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 aren’t ideal for agriculture; It’s the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, at the end of the floods brought on by the Nile river every 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, who are in charge of these works, should come to take the mandatory measurements and give the landowners 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 one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was born in Egypt. Nonetheless it was born out from the boredom of clergymen and priests, not the need for measurement-calculation brought on by Nile floods. During those times, the only intellectual class of countries such as Egypt was the priest class. Because the livelihood with this class is supplied by the general public or the state, they’ve much time for you to share with intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that point, in the same way others invented games like chess, bridge, and go&hellip ;.Both these views may be true; priests wanted to simplify the work of the geometric, or they found out just how to calculate the regions of some geometric shapes such as triangular and trapezoidal to check on that the distribution was fair, and in this manner resulted in the birth of geometry.

We will divide the written history of mathematics into five periods. The first period will 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’ll 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 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, called 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, will be the fifth period. I will try to offer information about the development of mathematics in that period, contributing mathematicians, the spot of mathematics in social life and the essential options that come with mathematics in 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 main 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 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, normally 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 because of moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The key sourced elements 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 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 teach math. In the introduction part, after having a few exercises given to show operations with fractional numbers, 87 questions get with their solutions. They’re 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 next papyrus, referred to as the Moscow papyrus and now in the Moscow museum, can also be BC. It is a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the type of questions in the Ahmes papyrus, except for the two. As for the other two questions, one of them may be the calculation of the quantity and area of ​​the surface of the sphere part cut by a plane. Another could be the question of finding the volume of a pyramid cut by a plane. Both questions were solved correctly. Both of these questions are accepted because the pinnacle of Egyptian mathematics. The Egyptians seen that the location of ​​the circle was proportional to its diameter and found the amount 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 hasn’t 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 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 earlier than this period. Two people, Tales (624-547 BC) and Pythagoras (569-475 BC), are considered to be the father of Greek mathematics. Tales Milet (Aydın) was also born. It is known he visited Egypt, stayed there for some time and learned geometry in Egypt. During Egypt, it’s described in books where he calculates the height of the truly amazing pyramid by measuring along 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 show what he learned. It is assumed that abstract proof based on reasoning, that will be not predicated on mathematics – experimental verification, entered into Tales. Additionally, Tales is the one who is known as the first 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 while, 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 show 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 individuals of this school called “mathematics” live together and they’re connected to each other with oath. The next group includes students attending school. Pythagoras school is dependant on number cult. According for them, everything could be reduced to numbers; It comes with 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 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 known as the Pythagorean theorem (the square of the proper sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a strong crisis. The discovery of irrational numbers is the very first major crisis of mathematics. Many of the members of the Pythagorean school were massacred by a raid led by way of a big cyber named Cylon. Pythagoras saved his life, but after many years he died. Pythagoras’thoughts, the Pythagorean school lived for several years under this or that name. As can be understood from this information, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.