3.5" disks, nice. We were still on 5 1/4" in high school in 87-88.. True floppys! I remember thinking 3.5" hard disk - wow the technology :)
She also had a utility to copy original software disks onto the “high density” disks, then read back the data.
From what I could tell, it worked like a charm. 10% of the copies failed, but whatever.
(Coursework was stored on unmodified disks, of course.)
The rest of us had tapes.
And yes the high school computers were running MS-DOS 3.3, with two 5 1/4" drives and no hard disk.
I suspect you're thinking of the Amstrad Spectrum +2 (grey, largely the same as the Sinclair ZX Spectrum 128) vs Amstrad Spectrum +2A (black, contained a +3 motherboard minus the FDD controller, and less compatible with external peripherals).