There should be, are you click on the green plus sign on the top left of the window or the top right corner when you maximize?

There isn't a green plus sign or a maximize at the top right in FF33 - at top left there is "close x", "minimise -", and "maximise"

That is a change in OS X 10.10 (Yosemite) and Apple has replaced the colored buttons by those new three buttons (close, minimize, full screen).

Apple - OS X Yosemite - Design: http://www.apple.com/osx/design/

Not only have we streamlined their look, but we’ve also updated their functions. Close, minimize, and maximize are now close, minimize, and full screen, eliminating the extra full‑screen control and consolidating the window controls in one place.

See also OS X Yosemite: Window basics:

• http://support.apple.com/kb/PH18785

I had gathered that, so am I to assume that the answer to my original question is no; "Is there still a way to maximise the screen without it going into full screen mode?"

See:

• http://apple.stackexchange.com/questions/139884/make-the-green-full-screen-window-icon-on-yosemite-maximize-windows
• Hold down the Options key to make the button switch between full screen mode and maximize.
• Double-click the title bar: the default behavior is to maximize.

cor-el said

See:

• http://apple.stackexchange.com/questions/139884/make-the-green-full-screen-window-icon-on-yosemite-maximize-windows
• Hold down the Options key to make the button switch between full screen mode and maximize.
• Double-click the title bar: the default behavior is to maximize.

Double clicking opens a new tab, it does not maximize. This is VERY annoying, why should I be forced to hold option before clicking maximize? This over complicates things. Please fix the double click of the title bar to maximize instead of creating a new tab.