The differences? Well, I think it's best to give you the similarities:
there are none!
Listing the differences between 84 Plus and Nspire it's like comparing
DOS to Windows Vista. There's nothing in common between the two.
But, nevertheless, here are some differences I find the most relevant:
Speed: The difference in speed between the two is nothing less than a
factor of 10;
Connectivity between apps: Geometry, Spreadsheet, Calculator can be
linked like never before. Out of the box a Nspire has more power than
the 84 Plus operating system + Cellsheet app + Cabri Jr combined. It
allows linking between applications, so one can create a geometry
construction, capture data from it on a spreadsheet page and plot it
real time on a Data & Statistics app;
Graphing: while tracing a graph the cursor snaps directly to the
neares point of interest;
Document structure: add Graph, Spreadsheet or Calculator pages and
store all your work on a single document that can easily be sent to
students or from the students to the teacher.
Notes pages: with the possibility of adding multiple choice questions
and computing mathematical formulas it allows more power than
Notefolio and Studycards combined;
Calculator app: up to 900 digits in integer computation, allows for
real world combinatory problems without resorting to scientific
notation.
A lot more could be said, but I think it'd be easier just to show some
sample documents, and there's a rich variety to choose from, and just
show how Nspire works.
Cheers,
Nelson