Understanding Proper Acceleration and Four-Acceleration in Special Relativity

[granpa]

does anybody besides me find the following wikipedia articles confusing?

http://en.wikipedia.org/wiki/Four-acceleration
a=du/dτ
γ_u is the Lorentz factor for the speed (coordinate velocity) u
In an instantaneously co-moving inertial reference frame u = 0, γ_u = 1 and dγ_u/dτ = 0, i.e. in such a reference frame
A =(0,a)
Therefore, the four-acceleration is equal to the proper acceleration that a moving particle "feels" moving along a world line.

should read:
Therefore, the four-acceleration within that co-moving inertial reference frame is equal to the proper acceleration that a moving particle "feels" moving along a world line.http://en.wikipedia.org/wiki/Proper_acceleration
The proper acceleration 3-vector, combined with a null time-component, yields the object's four-acceleration. (this is just plain wrong)

even though below that:
http://en.wikipedia.org/wiki/Proper_acceleration#Viewed_from_a_flat_spacetime_slice
it correctly states:
proper acceleration α and coordinate acceleration a are related[6] through the Lorentz factor γ by α=a*γ^3
Hence the change in proper-velocity w=dx/dτ is the integral of proper acceleration over map-time t (coordinate time)
and gives these formulas:
http://upload.wikimedia.org/math/f/3/f/f3fd7fcce9b254111e10ca5bae382511.png

you can check that the derivative of proper velocity with respect to coordinate time is a*gamma^3 by entering v[t]/sqrt[1-((v[t])^2)] into this http://calc101.com/webMathematica/derivatives.jsp#topdoit

 

[granpa]

here is the article before the line in question was added:
http://en.wikipedia.org/w/index.php?title=Four-acceleration&oldid=99171077

 

[granpa]

I have edited the 2 wikipedia articles in question. I would very much appreciate it if someone would double check my work.