##NOTE:##
The .bat script is written and .exe files zipped up by me. If you are not comfortable using the .exe from the download link, please give this tutorial a miss. 
Update CC3000 via DFU-util
Hey there!
Is your 
core having difficulty connecting to Wifi?
Geting confused over how to flash the cc3000 patch file via USB?
This should help you get going! 
STEP 1: Place Core in DFU MODE
1.) Press BOTH buttons and release ONLY the RST button
2.) Wait for the RGB LED to BLINK YELLOW and release the MODE button
STEP 2: Install DFU Driver
1.) Download zatig.exe from http://zadig.akeo.ie/
2.) In Zadig, Click on ‘Options’ --> 'List all devices’
3.) Select ‘CORE DFU’ and ‘libusbK’ for the driver. Press 'Install Driver’
So far, ‘libusbK’ is proven working with the core
4.) It will show ‘Driver installed successfully!!!’ (ok not so many ! :))
STEP 3: Download Bundled Package
1.) Download from: http://limsimiteh.com/kenneth/download/spark-dfu-flash.zip
2.) Inside the folder, you will see:
3.) Click on DFU-flash-script.bat
This will appear:
4.) For CC3000 patch, key in 1 and hit ENTER
*Make sure core is blinking yellow (DFU mode)
5.) Downloading will start!
6.) The sequence for CC3000 patch will be as such:
Blinking Magenta --> Blinking yellow
7.) The next step is to flash a binary file
Run DFU-flash-script.bat again and key in 2 and hit ENTER
8.) Your core will now download the stock tinker app and restart!