From the Greek : mathema meaning learning, study, or science.
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the new name for math is............. MATHEMATICS
A simultaneous equation
mathematics is math math is short for mathematics
Pure Mathematics is the branch of mathematics that deals only with mathematics and how it works - it is the HOW of mathematics. It is abstracted from the real world and provides the "tool box" of mathematics; it includes things like calculus. Applied mathematics is the branch of mathematics which applies the techniques of Pure Mathematics to the real world - it is the WHERE of mathematics; it includes things like mechanics. Pure Mathematics teaches you HOW to integrate, Applied mathematics teaches you WHERE to use integration.
"Mathematics Education" is the name given to the course of studies that prepares a student to be an elementary or secondary school math teacher. A math education major must take courses in the theory and practice of teaching and complete student teaching assignments as well as take courses in mathematics. A mathematics major generally does not take courses in teaching, but may be required to take more courses in advanced mathemetics and related disciplines.