Martin Erik Horn: Bridging the Gap Between School Mathematics and the Mathematics of General Relativity.
Abstract: The Dirac operator is the general relativistic generalization of Minkowski’s Lorentz operator and describes the geometric derivative in general relativity. But while the Dirac operator is discussed in length in books about Geometric Algebra, the discussion of the Lorentz operator usually is avoided. This leads to a huge didactical gap, as a discussion of the geometric derivative in special relativity becomes impossible without reciprocal frames. These didactical problems are a consequence of three shocks special relativity suffered in its youth.
And by the way: It seems that relativity very directly tells us that we live simultaneously in a right-handed and in a left-handed coordinate system at the same time (compared with the Euclidean view, that we only live in a right-handed or only in a left-handed coordinate system).
Source: Email from M. E. Horn, 2015/02/08 5:54, horn_AT_zedat.fu-berlin.de