Mathematical Modeling is a cyclical process where students engage in (1) making sense of the situation and posing a modeling problem (2) listing quantities and assumptions; (3) representing, exploring and creating a solution/model (4) interpreting and revising the model and (5) reporting out.
Mathematical modeling (MM) is an equity and empathy lever in K-12 mathematics as it helps students make sense of real-world situations through problem-posing and decision-making.
We can develop students’ mathematical modeling competencies through routines and modeling tasks and use these look fors.
| Math Modeling Phases | Look Fors: Students … | Reflection: What went well? What was challenging? Areas for Growth? |
| 1) Problem Posing- Making sense of real-world situations and posing MM problems | * Ask mathematical questions related to the situation * Use information and define the problem * Empathize/connect with the problem. * Bring in their experiences, funds of knowledge and cultural connections to the problem situation | |
| 2) Identify important quantities– Identify quantities, decisions and assumptions relevant to the problem | * Name and describe relationships between important quantities/variables * Recognize variables can change * Make reasonable assumptions, choices, and decisions * Assumptions stated are relevant to the situation and MM problem | |
| (3) Create models through exploration and representation – Mathematically explore possible models represented in various forms (equations, pictures, written descriptions, etc) | * Reach a solution related to the problem posed * Use words, pictures, diagrams, tables and/or explanations to share a solution/model * Use math to demonstrate understanding of how the quantities are related * Correctly use mathematics in their model Perform operation on the variables and relationships | |
| (4) Interpret and Revise Models- Interpreting or revising models in relation to the real-world context | * Explain how their solution meets the situation * Consider what if scenarios …how the model might change with other variables * Compare and contrast other solutions/ models to identify relationship among quantities * Revise and refine the model if necessary | |
| (5) Report out and Take Action- Communicate and explain model to audience. Share how the model might help others. | * Explain how their model works to solve the problems * Identify limitations in their model * Summarize and clearly communicate their model and solution * Explain how their model can help someone else in a similar situation | |
| How did the lesson support equitable participation (multiple contributions, diverse ideas valued, high engagement)? | ||