Mathematical Practice 4: Model with Mathematics
By providing students with opportunities to develop real-world contexts to correspond to mathematics tasks of varying difficulty, and then checking to make sure the correspondence is accurate, teachers facilitate students' sense making relative to modeling mathematics.
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Extend Your Understanding
Watch the video excerpt below to view an example of a teacher engaging students in modeling with mathematics.
Cathy Humphreys leads an extended exploration of a proof of the properties of quadrilaterals, helping students learn to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems. In this clip, Humphreys introduces the task by posing a problem as a real-life investigation in which a kite manufacturer who “only manufactures quadrilateral kites”, and needs to know the properties of convex quadrilaterals that will always result in a given kite shape, saying “how to do the sticks is the issue.” The students work in groups to give prototype advice to this manufacturer, so that any time an order comes in, the manufacturer will always know “what kind of sticks to put in the kit and how they are to be put together.”