Mathematical Practices are embedded in every math lesson we teach. The Standards for Mathematical Practice describe varieties of expertise that math educators at all levels (K-12) should seek to develop in their students. These practices rest on important "processes and proficiencies" with longstanding importance in mathematics education.
Mathematical Practice #4
Model with mathematics.
What should students be able to do?
- Understand this is a way to reason quantitatively and abstractly (able to decontextualize and contextualize)
- Apply the mathematics they know to solve everyday problems
- Are able to simplify a complex problem and identify important quantities to look at relationships
- Represent mathematics to describe a situation either with an equation or a diagram and interpret the results of a mathematical situation.
- Reflect on whether the results make sense, possibly improving/revising the model
- Ask themselves, "How can I represent this mathematically?"
Questions the Teacher Can Ask to Develop Mathematical Thinking:
- What number model could you construct to represent the problem?
- What are some ways to represent the quantities?
- What is an equation or expression that matches the diagram, number line..., chart..., table...?
- Where did you see one of the quantities in the task in your equation or expression?
- How would it help to create a diagram, graph, table...?
- What are some ways to visually represent...?
- What formula might apply in this situation?
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