Rational geometry

I wonder what you think about this news that was pointed out to me by Olda Klimanek. An associate professor of mathematics in Australia, Dr. Norman Wildberger, has figured out that the angles, sines, and cosines essentially do not need to exist and irrational functions should be eliminated from math by replacing angles by new concepts of "spreads" and "quadrances". Students won't have to learn any functions beyond the rational ones. I wonder whether you have an explanation what this means and whether there is a reason why this bizarre news appears in tens of newspapers.