Hi lmaley,
I am coming into this late, but what @Mark_Bailey noted above sounds very much like what you see in Minitab. There are likely significant differences, but the outcome should be similar.
You first have to choose the type of sample size calculation you are interested from the list
Are you interested in one sample mean or some other type of sample size determination? What you are seeing in the image above is from JMP 14 so it will be different than what you are seeing in JMP 12 to some extent.
For demo purposes I chose One Sample Mean with that the next menu you should see would like similar to the image below.
You input the Std. Dev., you choose a difference to detect based on you measurement needs/capability and you input a power value. Leave Sample Size blank. The next image has all of this filled in.
From here click Continue and JMP will fill in the Sample Size value as shown in the image below.
You can play around with all the values besides Sample Size to see what a difference they will make as you change them. Just remember to clear out the value for Sample Size before you click continue.
IMHO the most important value is the Difference to detect. If you are trying to determine a small difference in your samples you will need to test a lot of samples and vice versa. JMP will show you this as you adjust the Difference to detect. For instance if you keep everything else the same and change the Difference to detect to 0.1 the number of samples (runs) goes up to 1053.
HTH