PowerShell 4 - Import-Module : The specified module 'SQLPS' was not loaded because no valid module file was found in any module directory

Sounds like you need to manually update the module path.

Check to see that this directory exists on the computer.

C:\Program Files (x86)\Microsoft SQL Server\110\Tools\PowerShell\Modules\SQLPS

[Fixed]

If it does then run

$env:PSModulePath = $env:PSModulePath + ";C:\Program Files (x86)\Microsoft SQL Server\110\Tools\PowerShell\Modules"

Then check to see if the SQLPS module is in the list of available modules using

get-module -listavailable