Mathematics
Part of speech: noun
Definition: An abstract representational system used in the study of numbers, shapes, structure and change and the relationships between these concepts. A person's ability to count, calculate, and use different systems of mathematics at differing levels.
Example sentence: Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.
Math
Part of speech: noun
Definition: Short form of mathematics.Arithmetic calculations.A math course.
Example sentence: I grew up with plenty of smart people. They would beat me at chess; they could solve brain teasers before I could, but then they would struggle in algebra. These were incredibly smart people who simply did not have the foundation in math that I had.