Guided Math Activities | Math

# Guided Math Activities

Happy Little Kindergarten: Guided Math Activities

MATHEMATIC HISTORY

Mathematics is among 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 as time passes; it is no longer possible to describe it in a couple of sentences. What I’ve to state now will soon be words that emphasize its various aspects, as opposed to describe mathematics. In one aspect, mathematics is an art form like painting and music. The great majority of mathematicians perform it as an art. Using this perspective, the fact that a work done, a developed theory works in one of the ways or another other than mathematics does not concern them much. What matters to them may 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 a language. If the purpose of science is the universe; When it is to comprehend, rule and direct everything in the universe, we ought to manage 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 is an intellectual game like chess.

Some mathematicians also see it as a game. Mathematics is just a tool for its 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 genuinely believe that those that deal with 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 the very first time, BC. It had been utilized by the members of the Pythagorean school in the 550s. His entry into the written literature, with Plato BC. It was in the 380s. The term meaning is “what must be learned”, that’s, information. In the years before these dates, rather than the word mathematics, words that mean geometry, comparable to it in geometry or old languages ​​were used.

It is not possible to express anything definite about where and how mathematics started. If we take documents that are not 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 started in Egypt. You may already know, 97% of the Egyptian lands are not suited to agriculture; It is the 3% portion that gives life to Egypt and forms the Nile delta. Therefore, these lands are really valuable. However, at the conclusion of the floods caused by 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 and every flood, the “geometricists” of the state, who are responsible for these works, should arrive at take the mandatory measurements and supply the landowners as much land as they had in the earlier year. Herodotus says that geometry has begun to emerge consequently of the measurements and calculations. Another opinion concerning the birth of mathematics is the one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was born in Egypt. But it was created out from the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. At that time, the only intellectual class of countries such as for instance Egypt was the priest class. Because the livelihood of the class is given by the public or the state, they have much time for you to share with intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that time, just as others invented games like chess, bridge, and go&hellip ;.Both of these views may be true; priests wished to simplify the job of the geometric, or they learned how 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 led to the birth of geometry.

We shall divide the written history of mathematics into five periods. The first period is going to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll 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’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 are surviving in, dating back to the early 1900s, called age modern mathematics, will be the fifth period. I will try to give details about the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the fundamental options that come with mathematics in that period.

We shall 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. There are two significant reasons for this. The first is that the ancient Egyptians wrote the writing on papyrus; The next reason is the 3 big fires of the Alexandria libraries, the last 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 create text instead of 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 because of moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The key resources of our understanding of Egyptian mathematics are those two papyri. The first of those papyrus is 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 compiled 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 teach operations with fractional numbers, 87 questions are made making use of their solutions. These are the sort of questions people can encounter in daily life, such as 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, can also be BC. It is just 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. When it comes to other two questions, one of them could be the calculation of the amount and section of ​​the surface of the sphere part cut by way of a plane. The other could 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 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’s understood that Egyptian mathematics has remained at this level for 2000 years and has not made any significant progress.

B.C. 600s are the years once the Persians started 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, a year later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 may be the date which was accepted as the beginning of Greek civilization. This date is the start of a really bright period in science, art and literature. Greek mathematics actually started prior to when this period. A couple, Tales (624-547 BC) and Pythagoras (569-475 BC), are regarded as the daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is famous that he visited Egypt, stayed there for a time and learned geometry in Egypt. While in Egypt, it’s described in books where he calculates the height of the great pyramid by measuring the length of the shadow of the truly amazing 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 friends around him to show what he learned. It is assumed that abstract proof based on reasoning, which can be not predicated on mathematics – experimental verification, entered into Tales. In addition, Tales is the person who is known as the initial 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 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’s known. During his 5 years in Babylon, he learned mathematics, music and religious information, and after time for Samos, he created a school and tried to teach 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 folks of this school called “mathematics” live together and they are 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 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 known as 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 heavy crisis. The discovery of irrational numbers is the initial major crisis of mathematics. Most of the members of the Pythagorean school were massacred by way of 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 may be understood from these records, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.