Highly theoretical and not immediately practical, but perhaps the
mathematicians among us will find it interesting. "Education of a
model student" PDF:
http://www.pnas.org/content/early/2012/01/13/1109863109.full.pdf
Abstract http://www.pnas.org/content/early/2012/01/13/1109863109.abstract
:

> A dilemma faced by teachers, and increasingly by designers of educational 
> software, is the trade-off between teaching new material and reviewing what 
> has already been taught. Complicating matters, review is useful only if it is 
> neither too soon nor too late. Moreover, different students need to review at 
> different rates. We present a mathematical model that captures these issues 
> in idealized form. The student’s needs are modeled as constraints on the 
> schedule according to which educational material and review are spaced over 
> time. Our results include algorithms to construct schedules that adhere to 
> various spacing constraints, and bounds on the rate at which new material can 
> be introduced under these schedules.

>From the PDF:

> ...[software] could fit a model to the user and then schedule review in a way 
> that is tailored to the model.
> With such educational software in mind, we envision a system in which the 
> software designer can specify a schedule for the introduction of new 
> material, together with a schedule by which the review of existing material 
> is spaced over time. What we find, however, is that the resulting scheduling 
> problems are mathematically subtle: Existing techniques do not handle 
> scheduling problems with spacing constraints of this type.

_Wired_ coverage:
http://www.wired.com/wiredscience/2012/01/algorithmic-education/

-- 
gwern
http://www.gwern.net/Spaced%20repetition

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