Dan Meyer introduced us to the idea of “open middle” problems during his presentation on “Video Games & Making Math More Like Things Students Like” by explaining what makes them unique:
they have a “closed beginning” meaning that they all start with the same initial problem.
they have a “closed end” meaning that they all end with the same answer.
they have an “open middle” meaning that there are multiple ways to approach and ultimately solve the problem.
In FogStone Isle, students design their own virtual worlds through highly engaging and challenging math games.
Neuroscience, pedagogy, and game-design are brought together to aid students in solving complex math problems adapted to their learning level.
FogStone Isle supports 4th through 8th grade students in gaining conceptual understanding with students regularly commenting, “I forgot I was doing math!“
Here's a handout you could use with students. Happy Estimating!
Enjoy, Andrew Stadel