Ah, I apologize for not posting an update. The problem has been solved: http://stackoverflow.com/questions/31855904/emacs-sees-the-directory-with-the-new-org-mode-version-but-loads-the-old-versio
Thank you very much for the reply! 

On Mon, Aug 10, 2015 at 4:40 AM, Grant Rettke <gcr@wisdomandwonder.com> wrote:
Create a init file with only the contents and use that to start EMACS

(add-to-list 'load-path "~/.emacs.d/org-20150803")
(require 'org)

And check the `org-version'. It ought to be what you expect. Did you
get that from a ZIP? Did you follow the directions to generate the
autoloads and stuff?

Depending upon where and how you load 'org, another MELPA package
could be requiring org-mode transitively, before your load call. It is
very easy to have that happen.
Grant Rettke
--
gcr@wisdomandwonder.com | http://www.wisdomandwonder.com/
“Wisdom begins in wonder.” --Socrates
“All creativity is an extended form of a joke.” --Kay
((λ (x) (x x)) (λ (x) (x x)))
“Life has become immeasurably better since I have been forced to stop
taking it seriously.” --Thompson


On Thu, Aug 6, 2015 at 7:53 AM, Meir Goldenberg <mgoldenbe@gmail.com> wrote:
> The version of org-mode that came with my version of Emacs (24.5.2) is
> 8.2.10. I have installed version 8.3.1 from ELPA and added this to my init
> file:
>
> (add-to-list 'load-path "~/.emacs.d/org-20150803")
> (require 'org)
>
> When I check the version of org in Emacs, it says:
>
> Org-mode version 8.2.10 (release_8.2.10 @
> /home/meir/.emacs.d/elpa/org-20150803/)
>
> That is, it reports the old version and the new directory... (the built-in
> version is located in /usr/local/share/emacs/24.5/lisp/org)
>
> Here is the relevant portion of my init file (there is nothing before this
> portion):
>
> (require 'cl)
>
> ;; Org-mode that was shipped with Emacs
> (setq load-path (remove-if (lambda (x) (string-match-p "org$" x))
> load-path))
> ;; ELPA
> (setq load-path (remove-if (lambda (x) (string-match-p "org-20" x))
> load-path))
>
> (add-to-list 'load-path "~/.emacs.d/org-20150803")
>
> (require 'package)
> (add-to-list 'package-archives
>              '("melpa" . "http://melpa.milkbox.net/packages/") t)
> (package-initialize)
>
> (require 'org)
>
> How do I get Emacs to load the new version of org-mode?