But I think it is important to consider how these contexts could also be integrated into network-based STEM education. We are human beings, and while there will always be some people who delight in the formal perfection of purely mathematical proofs, for many other students, such activities will elicit only a shrug. I recall emerging from my high school's program of biology, chemistry, and physics with the impression that science was the process of demonstrating that things that seemed like they ought to be interesting (How does the world work?) were actually very boring (via lots of equations, like F=ma, which tell you absolutely nothing about your personal experience, because they have been simplified from the more complex forms for which you don't know the math. Here are some problem sets.)
But mathematical and scientific ideas don't simply pop out of the ether: they emerge from long histories of experiment and discovery, and often are tied to profound philosophical questions. For example, recently some members of our class played an Edheads game called "Deep Brain Stimulation." The game approached the process of brain surgery as a primarily physical challenge, and yet there are important questions to be asked here about why we might want to mess with our brains, and what risks we take in so doing. To me, this game would have been far more involving had it fleshed out the character of the patient, Ellen, whose profession entailed distinct medical needs. The game could have played with the varied impacts that different medical approaches might have taken on Ellen's life, letting us see the potential real-life outcomes of an oral treatment versus a surgery with side effects, etc; (or even more vividly, a different version of this game might have let us freely explore different areas of the brain and illustrated how switching sections on and off would affect a patient's behavior and life). Such an approach would have lent more emotional heft to the game.
An example of a science education tool that, on the contrary, makes wonderful use of context is WNYC's Radiolab Podcast. To take one of many great examples, their series on time, "Time" and "Beyond Time," tackles abstract concepts like relativity while addressing head-on the questions these concepts arouse for human beings--what does it mean if every moment is a fixed entity that somehow exists forever? What about free will? Or parallel universes that arise every time a decision is made? For many students, the chance to ask these types of questions will make math and science concepts more involving, and appropriate use of network-supported designs can help deepen these debates.