Math Pattern Manipulatives | Math

Math Pattern Manipulatives

These activities can be printed out, laminated, and used during centre time! It includes play dough caterpillars, counting bears, MathLink cubes, and pattern block templates. Allow your students to identify, reproduce, extend, and create patterns!

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 with time; it is no further possible to explain it in several sentences. What I have to express now will 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. The great majority of mathematicians perform it being an art. From this perspective, the fact that a work done, a developed theory works in one of the ways or another apart from mathematics does not concern them much. What matters to them is the depth of the job done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is just a language. If the objective of science may be the universe; If it is to comprehend, rule and direct everything in the universe, we should 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 must know the language of mathematics. In another aspect, mathematics can be an intellectual game like chess.

Some mathematicians also see 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 those that deal with mathematics are 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 had been utilized by the members of the Pythagorean school in the 550s. His entry in to the written literature, with Plato BC. It had been in the 380s. The term meaning is “what must be learned”, that is, information. In the years before these dates, instead of the word mathematics, words which means that 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. If we take documents which are not based on archaeological findings that want interpretation, but open enough to require interpretation, We can say that 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 is the 3% portion that gives 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 every year, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after every flood, the “geometricists” of the state, who are responsible for these works, should arrive at take the required measurements and give the landowners just as much land as they’d in the last year. Herodotus says that geometry has begun to emerge consequently of these 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 born in Egypt. However it was born out from the boredom of clergymen and priests, not the need for measurement-calculation brought on by Nile floods. At that time, the sole intellectual class of countries such as for example Egypt was the priest class. Because the livelihood of the class is supplied by people or their state, they’ve much time to give to intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of the period, just as others invented games like chess, bridge, and go&hellip ;.These two views may be true; priests desired to simplify the work of the geometric, or they learned just how to calculate the aspects of some geometric shapes such as for instance triangular and trapezoidal to check 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 first period will be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover an amount of 1500-2000 years between 500s. The 2nd period, BC. 500-M.S. It will cover an amount of 1000 years, referred to 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, called the golden age of mathematics, dating from 1700-1900. The period we are residing in, dating back to early 1900s, called the age of modern mathematics, could be the fifth period. I will try to offer details 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 for the reason that period.

We will 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 foremost is that the ancient Egyptians wrote the writing on papyrus; The second reason may be the 3 big fires of the Alexandria libraries, the past of those fires happened through 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 write text in place of paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages ​​such as “Paper”, “papier” are based on the word papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it’s flaky due to moisture, heat and similar reasons. Currently, two papyrus related to mathematics appear to have been hidden under exceptional circumstances. The main resources of our knowledge of Egyptian mathematics are those two papyri. The initial of these papyrus is really 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 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 guide written to teach math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions are given making use of their solutions. They are the type of questions people can encounter in lifestyle, such as sharing account, interest calculation, or finding the location of ​​some geometric shapes. This really is more or less our 8th grade mathematics. The next papyrus, known as 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, aside from the two. As for the other two questions, one of them is the calculation of the amount and area of ​​the surface of the sphere part cut by a plane. One other could be the question of finding the amount 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 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 is 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 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 that was accepted as the beginning of Greek civilization. This date is the start of a very bright period in science, art and literature. Greek mathematics actually started prior to when this period. Two people, 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 went to Egypt, stayed there for a while and learned geometry in Egypt. While in Egypt, it’s described in books where he calculates the height of the fantastic pyramid by measuring along the shadow of the truly amazing pyramid, multiplying this number by the ratio of its length to along the existing shadow. After returning to Tales Milet, he taught them geometry by forming friends around him to teach what he learned. It’s assumed that abstract proof centered on reasoning, which will be not based on mathematics – experimental verification, entered into Tales. In addition, Tales is the one who is considered the very 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 time, went to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken fully 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 time for Samos, he created a school and tried to teach the people 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 are connected to one another with oath. The 2nd group consists of students attending school. Pythagoras school is based 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 for example 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 known as the Pythagorean theorem (the square of the best 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 very first 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 quite some time under this or that name. As may be understood from these records, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.

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