"Peer Produced Peer Learning: A Mathematics Case Study"
This research develops around a technological intervention intended to transform a peer produced reference resource into a peer produced learning environment. Through the work described in this thesis, PlanetMath.org, an early online community devoted to mathematics, has now become a mathematical practicum, and a laboratory for learning science.
A new theory that describes the nexus of peer production and peer learning is foundational for the research programme. In the course of work, this theory was given a concrete instantiation in a new software system for PlanetMath.
The candidate theory was developed during a pilot study based on online field work at the Peer-2-Peer University. The new theory -- which is given the name "paragogy" -- has implications for designers, researchers, educators, and others whose work relies on peer learning and peer production.
Further research and development work in the PlanetMath context helped to refine the theory. A quantitative approach was employed to detect the factors of interaction that influence learning outcomes, using legacy data from PlanetMath. A qualitative, interview-based approach was employed, to understand the requirements of potential users of the new system. The software model was implemented, based on these requirements, using Drupal and other open source components. Field work with PlanetMath users after the launch of the new system employed an emergent design process to elaborate the theory and develop a viable approach for further co-production.
Connections with game theory and the philosophy of mathematics help to situate the new theory of peer learning within mathematical discourse, and illuminate a rich horizon for future work.