Have to use a card reader (micro SD to USB)
Problem is that on both my Motorola M phone and Lenovo A2109 tablet USB Mode simply doesn't list "Mass Storage", only "Media device (MTP)" and "Camera (PTP)" choices. Both devices are not rooted and were over-the-air upgraded from ICS to JB by Verizon and Lenovo respectively. When they were on original ICS "Mass Storage" was available. It seems that JB (at least as packaged by Verizon/Motorola and Lenovo) to some reason simply doesn't want users to connect via USB as a Mass Storage (disk drive) device which is very unfortunate!.
Workaround. I happened to have a usb card reader that came with my micro SD card. Similarly, if you don't have a card reader, use an old phone you have "lying around" to connect to the PC with a USB cable.
Unmount your sd card via your "Settings" (Left swipe on home). choose "more". Find storage. Then scroll down, down, to "unmount". Then click out the sd card, plug it into a card reader and voila.
On a side note-- if you are having trouble locating files you wished to transfer from your old phone (such as app-dependent personal info) .....install "astro file manager" app to locate the files. Droid Razr M has re-arranged the file structure, somehow, it made itself an "SD card" directory under the file named "storage".
You may find your files in the "storage" folder (Note: I think it was located in a folder in astro called My files 2)
In the storage folder, you may see " Sd Card 0" (I assume that was my old phone? ) and "Sd Card 1" . When I click on SD Card 1, I find all the files for Droid Razr M, including a folder each for "USB Disk Mount 1...2, ....3,......4,,......5......6..." I don't know what these are for. Clearly -- they are not for mounting the phone via USB cable to the PC .
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