I've been seeing a lot of these requests lately, and after running into the problem myself I figured I would list down solutions that are known to work. The crash has something to do with Java 1.7 requiring LWJGL 2.9, and that's the extent of what I know about it.
Keep in mind that the Minecraft 1.6 update will update everyone to LWJGL 2.9 regardless, so these fixes are only applicable while we're waiting on mods and modpacks to update to 1.6.
Solution 1: Make the Technic Launcher run in Java 1.6
This solution involves creating a .command script in TextEdit that tells OS X to run the Technic Launcher and Minecraft in Java 1.6 instead of 1.7. This is only useful if you already have 1.6 installed on your system.
Directions thanks to Diah:
If you want to just flat-out uninstall Java 7 or need to download Java 6, links can be found here at the Spout Wiki.
Solution 2: Update LWJGL in your technic install (do not do this if you have an intel graphics card and are unwilling to download LWJGL nightly builds)
This is a significantly less involved, but riskier fix. The reason this is risky is because the current version of LWJGL (2.9) has a bug that causes Minecraft to render upside-down on Intel video cards. You need to update LWJGL for every pack you play.
1. Download the latest version of LWJGL here. If you have an Intel card, you may want to try downloading a version from their Jenkins, but it might be better to wait for a release version. Use Solution 1 for a more stable solution.
2. Open the Technic Launcher and navigate to the pack you want to update by clicking on the cogwheel underneath the pack's icon on the list and clicking "Open Folder".
3. Follow the directions for updating LWJGL on the Minecraft Wiki. It goes without saying that you install it in the modpack's folder that you opened in step 2.
Hope it helps!