Hi Dan,
It sounds like you are using the meter correctly.  It goes in series with the load.  Some multimeters have a fuse in series with the ammeter portion.  If you accidentally put the meter across the voltage instead of in series with the load, this fuse will blow.  By the meter reading not changing with the different resistors, I would guess that this fuse is blown in your meter.
I have a nexttech meter, but haven't used it to measure current.
by the way, when you are measuring current, you must be very careful not to put the meter across a voltage source, like a battery.  To the battery, the meter looks like a short circuit.
If you have any more questions, feel free to ask.
73s,
Clarence

On Feb 28, 2012, at 11:24 PM, Dan Gistenson wrote:

> Hi,
> 
> Can anyone with the NexxTech Talking DMM let me know how to use the DMM =
> to measure AC current? I must be doing something wrong because I've =
> tried three different resistors, 215k, 2.1k, and 380 ohm, across a 15 =
> VAC applied voltage. In all three cases, the meter measures 0.27 mA.
> 
> I put the DMM in series with the resistor and chose the "mA current" =
> function and the "AC" setting. The DMM's instructions say that the range =
> will be automatically selected and says that the lowest range is from =
> 39.99 to 0.01 mA.
> 
> I'm baffled.
> 
> Thanks,
> Dan