Knowledge Framework- Mathematics
Scope and Application
Mathematics is the application of shared knowledge to help solve problems. It is about quantity, shape, space and change. Today, mathematics is integrated and closely tied into numerous professions. Accountants use math to keep track of a company’s financial movements, programmers must have a firm grasp on fundamental mathematics and algorithms, engineers use math to design, develop and manufacture, and meteorologists use math to forecast weather; almost all professions require some aspect of mathematics. Mathematics can be applied in many different forms due the vast amount of content this area of knowledge contains. Math is divided ...view middle of the document...
As stated in the quote above, mathematics is the process of starting from a set of axiom and deriving a mathematical truth. The truth must be consistent; therefore, a shared, universal language is essential.
Math uses pure reason from axioms. An axiom is a statement or proposition that is regarded as being established, accepted, or self-evidently true; axioms are used to prove mathematical theorems. A statement in mathematics is true only if it can be conclusively proven. The process of mathematics doesn’t seem to rely on our sense perception of the world; however, someone with no senses of any kind never is able to learn math. In addition, sense perception would be necessary in using math in a practical way (architecture, etc).Sense perception has a role in practical application but isn’t required to do a mathematical process (with all relevant information) in your head. It has been established that math in made of theorems. Mathematicians require intuition and imagination in order to proof a theorem. They need to be able to think ‘outside the box’.
The history of mathematics dates back far into the past. Mathematics has developed and evolved with us. Revolutionary developments such as complex numbers (used...