Also, if you have any pointers on where to start with the literature/research, that would be handy.
http://bost.ocks.org/mike/algorithms/
http://worrydream.com/LadderOfAbstraction/
http://www.jasondavies.com/animated-bezier/
Imagine what it would look like if Mike Bostock, Jason Davies and Bret Victor wrote an entire math and science curriculum together. Make that.
Notable companies taking this approach include:
http://www.classdojo.com/ - ClassDojo, which gamifies classroom behaviour management is and is incredibly popular with teachers. https://www.remind.com/ - Remind101 (now Remind), helping teachers communicate with students, parents and other stakeholders. http://www.showbie.com/ - Showbie, a document management, submission and grading platform.
Another interesting take is by snapping up some part of the curriculum and providing adaptive learning software geared to that (Math and English are popular), like Front Row (math): https://www.frontrowed.com/ and NoRedInk (english) https://www.noredink.com/
There are also platform approaches like Clever: https://clever.com/ and Edmodo: https://www.edmodo.com/
Finally, there are the more niche 'enterprise' tools platforms like Securely which help lock down school devices, and Panorama who provide school and district level suervey information on student wellbeing.