Mathematical modelling is not simply using a graph, chart, equation or physical model to represent a concept, but rather the process of engaging in a multistep, iterative process in which students use mathematics to make sense of a real-world context. It's a creative process, involving making assumptions and decisions, to understand something new and relevant and make informed choices based on that learning.
The chart above and the articles below can help to clarify and support your understanding of mathematical modelling.
Guiding Questions to Support Math Modelling
Guidelines for Assessment & Instruction in Mathematical Modeling Education
The audience for this webinar was secondary math teachers but the ideas presented are applicable to all grades. This video addresses the following questions:
What is mathematical modelling?
Why is it important?
What might some modelling tasks look like for my grade?
How do I facilitate this process?
How might I assess it?
Where can I find some resources?
3-Act Math Tasks can introduce the process of mathematical modelling with a shorter task that can potentially be done in one math block. Using these tasks on a semi-regular basis can help students become familiar with the modelling process. Then when they tackle a larger, more complex problem, they are less likely to feel overwhelmed.
Dan Meyer: The Three Acts of a Mathematical Story (blog post) and 3-Act Math Tasks
Andrew Stadel: 3-Act Math Tasks
Jon Orr: MrOrr-IsAGeek.com
Kyle Pearce: TapIntoTeenMinds.com
Graham Fletcher: FGletchy.com
3-Act Math in Desmos Activity Builder
(Template for Editing)
Girl Guide Cookies - 3-Act Math Desmos Activity
(Volume of Rectangular Prisms)
The following rubric was created based on criteria adapted from Guidelines for Assessment & Instruction in Mathematical Modeling Education (Bliss, Karen, et al). The accompanying student guide mirrors the criteria in the rubric. The guide is intended to support students through a larger modelling task but as student become more comfortable with the process of mathematical modelling, they will likely require this support less and less. Both documents can be copied and edited to suit your needs.