Modeling makes math both important and interesting!
What is Math Modeling?
Mathematical modeling refers to the process of creating a mathematical representation of a real-world scenario to make a prediction or provide insight. Real-world issues can be complex and messy. While it can sometimes feel intimidating to get started, the open-ended nature of real-world problems leads to building and applying problem solving skills, creativity, innovation, and mathematics.
What does the math modeling process look like?
Mathematical modeling can be thought of as an iterative process made up of the following components:
Define the Problem
Modeling problems are open-ended, so the modeler should clearly specify what it is they would like to find.
Make Assumptions
It is impossible to account for all the factors that impact a given situation, so the modeler must choose what is most important to include.
Define Variables
Making assumptions reveals variables that will be needed. Start with a small number of variables representing only the most important factors.
Get a Solution
Once a relationship between variables has been established, use familiar mathematical and computational tools to solve.
Analyze the Solution
When considering the results and insights gained from the model, ask if the answer makes sense.
Iterate
Refine the model by repeating the process, adjusting as needed to improve the solution.
Communicate
A clear report on the model, solution technique, and results makes the model understandable to others.
Want more information? Check out this one-page summary of the math modeling process. Dig in even further by reading these free math modeling handbooks for newbies!
