From my understanding there are older and newer corning ware casserole dishes, with the older dishes being better about not breaking on a hot plate, I have had good luck with the white corning casserole dish, on a hot plate, with care not heating up or cooling too fast have never had one break, I even heat them to high and incinerate powders in them with a propane torch.
Important my hot plate burners are solid cast iron type burners, not the spiral coil type, this helps heat to distribute evenly and not create hot spots.
(If using a coil type burner you maybe try a wire screen between dish and burner, or a piece of solid steel plate),
(Test the corning dish before using it by boiling water, also by heating empty, and also heating dirt and using propane torch on corning ware dish with high heat, give it a good work out, wear safety glasses, if you can abuse it and not break it, then you should be able to trust its use with care, do not do this with Pyrex or lab glass).
Also the amber (yellowish brown), or the violet Pyrex stove top glass type skillets, I also have good luck with (these are not the same as a Pyrex baking dish, i would not use those), (you can test these as above)..
Pyrex glass coffee pots from a automatic coffee maker will hold up fairly well on the solid hot plate burner, (see sitting it in corning cassarole dish below).
But care is needed they will break if powders are heated in settled bottom of solution strongly (uneven heating), or if temperature is changed rapidly, or if the burner does not heat them evenly (I use solid burner hotplate, do not change temperature fast and if heating powders in bottom of solution keep them stirred).
I have not used lab glass Pyrex, but I suspect it is similar to the coffee pot above, and same care would apply.
Also pyrex is a brand name so all pyrex glass is not the same, do not heat thick pyrex glass on a stove top burner unless it is made for stove top.
A catch pan under your hotplate incase of breakage.
Some heat the automatic coffee pot sitting in a white corning dish (corning dish acting as catch basin and spreading heat evenly to glass pot), sometimes I do this, but most of the time I will use the corning dish directly, incinerating and dissolving solutions in the dish, I can almost do a whole process without moving the dish from the burner or without moving the metal or powders from the dish (only removing dissolved metals in solution when needed with suction bulb tool).
There was another long discussion on this topic search the forum (use Laser Steve's web site for the search) type in casserole dish, or heating glass, or hotplate burner).
