Activities (Projects) vs Project Based Learning (PBL)
Although the ultimate expression of learning happens in real world projects, these tend to be long-term, complex, and more challenging to situate in mathematics classrooms. The Buck Institute has a gold standard for project-based learning that uses the graphic to the right.
For the purpose of our work in this workshop, we will stay to a simpler form of hands-on, minds-no work: activities. Activities don't meet all the criteria of PBL, but they still give students a chance to put their knowledge to use and demonstrate deeper understanding.
Amy Mayer created a really nice chart that distinguishes Projects (I call them activities) from PBL on her blog:
The National Academy Foundation also distinguishes project from activities with a few examples: