I have some comments too, have been planning a slab for a few months now, dredging up info.
Concrete always shrinks when it cures, about 1/4" over 16 ft if I can remember right. (or is it over 32'? oh well you get the idea)
Concrete contracts when cold, expands when warm. From below freezing to hot summer day this is about a 1/8" over 16 ft change.
You can control where the cracks will form by combinations of sawcuts(or zipstrips), welded wire mesh, fiber reinforcing or rebar.
Only welded wire mesh and rebar can keep the concrete locked together across crack.
A W1.4 6" square wire mesh can keep cracking small up to about 16' square sections.
Saw cuts (or zip strips) at this point can relieve stress and force it to crack there.
Our slab is designed to use welded mesh and sawcuts to control the cracking and movement. I could use fiber too but I have been told it can take a long time to wear off the surface in low-traffic areas. I will be laying on the floor working and it will be a bare floor surface in our apartment so I can't be having splinters.
The engineer involved in our project suggested using rebar instead of mesh but the mesh gives a nice grid to tie our PEX heat tubing to.