Monday, August 19, 2019

Algebra-AJ


  • Algebra, now known today as one of the most popular formulated branches of mathematics, is the one of the most abstract pillars of mathematics. This math branch involves the concepts of manipulating values that are expressed by symbols, usually to simplification or simplest form. The main reasoning and logic behind algebra was to be able to decode or give value to any unknown quantity that may be incorporated in the from of an equation. In order to represent any given value in the algebraic sense is to always conclude an equal value to any amount, therefore involving heavily in relations resulting in equations. A major component of algebra viewed today would be abstractness, the concept of being considered apart from a literal meaning, in which separates natural mathematical concepts from literal ones. 
  • The origins of algebra date all the way back to 600 B.C during the fall of the Babylonian empire. During this time period many new simple concepts had been developed to formulate the very basis of our present day algebra. During the Babylonian reign, this form of mathematics was used for scaling and conversions during imperial construction that had taken place. As adaptations where made a very famous early Greek mathematician named Diophantus had made many significant contributions building off of the existing algebraic foundations. In 200 B.C, Diophantus had made documented contributions and records of his works, majorly focusing on more structure and problem solving based discoveries. These scales had later been adapted as many present-day mathematicians have developed many more consolidated theories, theroms, and have even structured formulas. 
  • Later after in history, a famous Muslim mathematician named Al-Khwarizmi had been one of the most important fathers of algebra, as well as the creator of the name "algebra" itself. Algebra in the language Urdu, its originating language, translates to "The Compendious Book on Calculation by Completion and Balancing." Al Khwarizmi himself had developed many of the basis of rules for each and every aspect of the balancing and calculations in algebra. One of the most famous and well known rules of his was the balancing and the mirror affect that must be applied to any algebraic sequence and or equal values. Also, one of the very famous Indian mathematicians, Brahmagupta, had discovered these past ideas of algebra and had designed a very unique aspect of it.  Brahmagupta had heavily focused on the works of Diophantus and many other older mathematicians like him, and he had decided develop the concepts of proofing in which he would develop proofing. Algebraic proofing was a way to prove and test through trial and reasoning by using the aspects of mathematical knowledge, later developing more intuitive concepts such as formulas.
  • Algebra is now a very popular necessity for middle and high schools because of its different level difficulties as well as its implications parting from its previous mathematics. This subset of mathematics is keen on the concept of abstractness and follows the same disciplines. For example, when you are being literal and you are referring to a square in an algebra problem, in reality there is no perfect square, so the reference would be inaccurate. However, the abstract part of algebra refers to this non-organic figure called a square but identifies so that it can be quantified and worked with, the beauty of it. Abstractness is going past the natural order of ideals, but however applying the same process, the input, process, and the output. In the algebraic stand point you are given a problem, you progress through a process, then finally comes the simplification or answer.
  • Mathematics, and specifically Algebra, in our current day schooling systems has become a major part common core curriculum, as Algebra itself has become a demanded course of study in many schools. A high school math teacher at kings high in Alabama states," It is essential to undergo the process of learning and mastering the aspects of algebra since the process and knowledge received in that time frame can help build life skills that can be utilized in the future." In many instances algebra has almost been a very unpopular topic among students who don't grasp its basics well, therefore new programs are giving better ideas and teaching standards to help improve the way algebra is taught. One of these educational pioneers would be Sal Khan the CEO of Khan Academy. He has revolutionized the interface of education and has helped support millions of students with a free program entitling each and every student to have a love and passion for their study.

1 comment:

  1. Wow! I found this article very interesting and factual. Algebra has had its important and fascinating history, you make me want to learn about it more! Please keep posting!
    -Thanks,
    tyleru876

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