Defining a method in the top-level can be quite confusing. Let's wrap your code in a class instead:
class Foo
a = []
def testing
a << 'test'
end
end
(I've shortened Array.new to [] and a.push(...) to a << ...)
Foo#testing can be called via:
foo = Foo.new
foo.testing
#=> undefined local variable or method `a'
Apparently, this doesn't work. The first a is a local variable in the scope of the class body, whereas the second a is a local variable within an instance method.
Moving the variable initialization out of the class body into the initialize method doesn't work either, because local variables are not shared across methods:
class Foo
def initialize
a = [] # <- one 'a'
end
def testing
a << 'test' # <- another 'a'
end
end
To get this working, you have to use an instance variable:
class Foo
def initialize
@a = []
end
def testing
@a << 'test'
end
end
foo = Foo.new
foo.testing
#=> ["test"]
foo.testing
#=> ["test", "test"]