Magic Mirrors: Reflection Art for Kids | Math

Magic Mirrors: Reflection Art for Kids

Reflection art is an incredible hands-on lesson in math, art, and science! A great STEAM activity for kids of all ages.

MATHEMATIC HISTORY

Mathematics is one of the 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 with time; it’s no more possible to describe it in a few sentences. What I’ve to express now will undoubtedly 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 great majority of mathematicians perform it being an art. Out of this viewpoint, the fact a work done, a developed theory works in one way or another besides mathematics doesn’t concern them much. What matters for them is the depth of the work done, the novelty of the techniques used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is really a language. If the purpose of science may be the universe; If it’s to understand, rule and direct everything in the universe, we must be able 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 have to know the language of mathematics. In another aspect, mathematics is an intellectual game like chess.

Some mathematicians also notice it as a game. Mathematics is just 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 has become far beyond the dimensions any human can rule. Therefore, I do not believe people who deal with mathematics tend to be more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The word mathematics, for the very first time, BC. It absolutely was used by the members of the Pythagorean school in the 550s. His entry into the written literature, with Plato BC. It absolutely 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, equal 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 are not centered on archaeological findings that need 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 were only available in Egypt. You may already know, 97% of the Egyptian lands aren’t suited to agriculture; It is the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are really valuable. However, at the end of the floods due to the Nile river each year, the boundaries of the landowners’lands become obscure. Because 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 arrive at take the necessary measurements and provide the landowners as much land as they had in the last year. Herodotus says that geometry has begun to emerge as a result of those measurements and calculations. Another 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. But it was created out from the boredom of clergymen and priests, not the necessity for measurement-calculation caused by Nile floods. During those times, the sole intellectual class of countries such as Egypt was the priest class. Considering that the livelihood with this class is supplied by people or their state, they’ve much time for you to give to intellectual pursuits. To help 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 might be true; priests wanted to simplify the work of the geometric, or they discovered just how to calculate the regions of some geometric shapes such as for instance triangular and trapezoidal to check that the distribution was fair, and in this way led to the birth of geometry.

We shall 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’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, 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, called the golden age of mathematics, dating from 1700-1900. The time scale we’re surviving in, dating back to the first 1900s, called age modern mathematics, would be the fifth period. I will attempt to give information about the development of mathematics for the reason that period, contributing mathematicians, the area 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. You will find 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 the fires happened throughout 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, typically 15-25 meters long and 30-50 inches wide. These leaves were used to publish text in place 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 typical lifespan of a papyrus is 300 years; 300 years later, it’s flaky because of moisture, heat and similar reasons. Currently, two papyrus related to mathematics appear to own been hidden under exceptional circumstances. The key resources of our understanding of Egyptian mathematics are these two papyri. The very first of those papyrus is 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 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 instruct math. In the introduction part, after a few exercises given to show operations with fractional numbers, 87 questions receive using their solutions. They are the type of questions people can encounter in everyday life, such as sharing account, interest calculation, or finding the area of ​​some geometric shapes. This is more or less our 8th grade mathematics. The 2nd papyrus, called the Moscow papyrus and now in the Moscow museum, can be BC. It is really a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the kind of questions in the Ahmes papyrus, except for the two. Are you aware that other two questions, one may 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 volume of a pyramid cut by a plane. Both questions were solved correctly. Those two questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians seen that the location 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 is understood that Egyptian mathematics has remained at 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, per 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 beginning of a very bright period in science, art and literature. Greek mathematics actually started sooner than this period. Two people, Tales (624-547 BC) and Pythagoras (569-475 BC), are considered to be the daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is famous he went to Egypt, stayed there for a while and learned geometry in Egypt. While in Egypt, it is described in books where he calculates the height of the fantastic pyramid by measuring along the shadow of the great 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 a group around him to instruct what he learned. It’s assumed that abstract proof centered on reasoning, which will be not predicated on mathematics – experimental verification, entered into Tales. Additionally, Tales is the person who is considered 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 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 time for Samos, he created a college and tried to instruct the people 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 individuals of this school called “mathematics” live together and they are connected to one another with oath. The 2nd group contains students attending school. Pythagoras school is based on number cult. According in their mind, 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 for instance 1,2,3,…; and kes, ¾,… will 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 a right triangle equals the square of the hypotenuse) put the Pythagorean school in a deep 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 a few years he died. Pythagoras’thoughts, the Pythagorean school lived for many years under this or that name. As may be understood from these records, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.