Hard Science: Algebra
September 20th, 2010, 2:11 am
Algebra as a Scientific Discipline
Algebra is considered a essential branch of maths which explains how to manage all situations involving numbers and variables. By default, there is so much to say about teaching and learning of Algebra as a generalized arithmetic which goes through systematic mathematical operations such as induction, generalization and proof. So, the pupils get to enhance their skills in algebra progressively, for example by getting the information from tutors or software systems, which offer stepwise illustrative solutions. Algebra software systems offer all the previously used approaches of Algebra learning with a new technological approach to drive the information smoothly into the pupil’s heads. Many pupils are not even aware of the full potential of algebra! They complain about its impracticality neglecting that Algebra, generally mathematics, teaches their mind how to think logically and correctly. The typical way to learn Algebra is in school, from being a kid till becoming an adult students get their information from the instructor. With the wide growth of technology, new techniques have been institutionalized to learn Algebra, such as using software programs which is a more convenient way to learn Algebra. It’s a kind of gradual tool to have the information delivered to student’s minds.
Areas Covered by Algebra
Same as any other arm of science, Algebra covers a lot of domains and includes many theories and concepts. Gcf, or Greatest Common Factor , is one such concepts. Gcf means to rewrite the polynomial as a product of simpler polynomials or of polynomials and monomials. Other attached area is solving fractions which enables an individual to get a simplified result. Quadratic function represents any function which is a solution of a quadratic polynomial. Among other primary factors of algebra , multiplying and dividing radicals is also one of the main ones. A person can multiply and divide with radicals only if the index, or root, is the same. Other connected areas are Adding and Subtracting Radicals ; a person can add or subtract radical terms only if both the index and the radicand are the same. Matrix operations, another primary areas of algebra which has a wide applicability when it comes to the real life, includes operations such as adding, subtracting, multiplying and dividing. Other significant areas are finding x-intercept of a line and y-intercept of a line – to get the x-intercept of a line, substitute zero for y in the equation and vice versa for finding y-intercept of a line.