How to Use LEGOs to Teach Hands-on Math | Math

How to Use LEGOs to Teach Hands-on Math

Teach fractions with LEGO bricks. Plus more LEGO math ideas here —–> weareteachers.com…

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 as time passes; it is no longer possible to spell it out it in several sentences. What I’ve to express now will soon be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art form like painting and music. The great majority of mathematicians perform it as an art. From 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 for them could be the depth of the task 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 goal of science is the universe; If it’s to know, rule and direct everything in the universe, we must be able 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. To be able to understand and interpret them, we must know the language of mathematics. In another aspect, mathematics is definitely an intellectual game like chess.

Some mathematicians also view it as a game. Mathematics is just a tool because of its user. After entering it, we understand and perceive what mathematics is in your knowledge and in the direction of our interest. Mathematics is currently far beyond the dimensions any human can rule. Therefore, I do not genuinely believe that those that 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 into the written literature, with Plato BC. It absolutely 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, equal to it in geometry or old languages ​​were used.

It’s difficult to state anything definite about where and how mathematics started. When we take documents that are not predicated on archaeological findings that require interpretation, but open enough to require interpretation, We are able to say that it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with 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 provides life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, at the conclusion of the floods caused 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 every flood, the “geometricists” of their state, who are in charge of these works, should arrive at take the necessary measurements and provide the landowners the maximum amount of land as they had in the last year. Herodotus says that geometry has begun to emerge as a result of these measurements and calculations. A second opinion concerning the birth of mathematics is the one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics was created in Egypt. However it came to be from the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. During those times, the only real intellectual class of countries such as for example Egypt was the priest class. Since the livelihood of the class is supplied by people or the state, they have 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 ;.Both 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 triangular and trapezoidal to check that the distribution was fair, and in this way generated the birth of geometry.

We shall divide the written history of mathematics into five periods. The very first period is likely to be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover a period of 1500-2000 years between 500s. The 2nd period, BC. 500-M.S. It’ll cover an amount of 1000 years, referred to as the Greek Mathematics period, between 500 years. The next term, M.S. It’ll 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 the first 1900s, called age modern mathematics, could be the fifth period. I will attempt to offer information regarding the development of mathematics in that period, contributing mathematicians, the spot of mathematics in social life and the essential options that come with mathematics because 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 major causes for this. The foremost is that the ancient Egyptians wrote the writing on papyrus; The 2nd reason could be the 3 big fires of the Alexandria libraries, the past of these 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, on average 15-25 meters long and 30-50 inches wide. These leaves were used to create 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 term papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it is flaky due to moisture, heat and similar reasons. To date, two papyrus related to mathematics appear to possess been hidden under exceptional circumstances. The key sourced elements of our knowledge of Egyptian mathematics are both of these papyri. The initial 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 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 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 are the sort of questions people can encounter in lifestyle, such as for example sharing account, interest calculation, or finding the area of ​​some geometric shapes. This really is just about 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 just a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the sort of questions in the Ahmes papyrus, with the exception of the two. As for the other two questions, one may be the calculation of the volume and area of ​​the surface of the sphere part cut by 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. These 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 amount 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 initially to dominate the middle east. B.C. By the 550s, Persians are the only real 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 could be the date which was accepted as the beginning of Greek civilization. This date is the beginning of an extremely 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 visited 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 along the shadow of the great pyramid, multiplying this number by the ratio of its length to the length of the present shadow. After returning to Tales Milet, he taught them geometry by forming an organization around him to teach what he learned. It is assumed that abstract proof centered on reasoning, which can be not predicated on mathematics – experimental verification, entered into Tales. Additionally, Tales is the one who is recognized as the very first philosopher in human history. He was born on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for some time, visited Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up to Babylon by capturing the Persians during 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 returning to Samos, he created a college 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 folks of this school called “mathematics” live together and they’re connected together with oath. The next group consists of students attending school. Pythagoras school is dependant on number cult. According to them, everything can be reduced to numbers; It posseses an unusually perfect harmony among numbers, and harmony is just 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,… would 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 deep crisis. The discovery of irrational numbers is the initial major crisis of mathematics. Most of the members of the Pythagorean school were massacred with 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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