Laravel 5 method does not exist in Controller while used PHP __callStatic method

I am using Laravel 5.2 on PHP 5.5.9

Instead of hard coding methods in the following controller, I used PHP __callStatic method to dynamically add functionality. It works fine while I tried from Console But while calling methods route, I am getting the following error

Method App\Http\Controllers\showCategory::latest() does not exist

Here is my Route

Route::get('Category/{id}',               'showCategory@latest');

Here is my Controller

class showCategory extends Controller
{

public $methods = [
    'latest'        => 'created_at', 
    'newArrival'    => 'created_at', 
    'mostViewed'    => 'views'
];

public function get( $link_or_id, $orderBy = 'created_at' )
{

}

public static function __callStatic($func, $arg)
{

    $category = new self();

    if( array_key_exists( $func, $category->methods ) )
    {

        return $category->get( $arg[0], $category->methods[ $func ] );

    }

} 

}

Any help to point where I messed up ?

via Chebli Mohamed