Abstraction involves removing unnecessary details and distilling the essence of a problem or system into a mathematical model or concept that can be studied and analyzed.For example, let's say you're trying to study the motion of a car driving down a road. To simplify this situation, you might abstract away the specifics of the car and the road and instead focus on the car's speed and direction of travel.

By using mathematical equations to represent the car's motion, you can gain insight into how it behaves without being bogged down by the details.Representation in mathematics refers to the use of symbols, graphs, or other visual tools to convey mathematical concepts and ideas. These representations can help us understand and communicate complex mathematical ideas in a way that is easier to comprehend.For example, you might represent a mathematical function as a graph, which can help you visualize the relationship between the inputs and outputs of the function.

Alternatively, you might use symbols and equations to represent complex mathematical relationships or concepts, such as the Pythagorean theorem or the formula for the area of a circle.In summary, mathematical abstraction and representation are powerful tools that allow us to simplify complex real-world problems and convey mathematical concepts in a way that is easier to understand and analyze.