I don't know this specific kit, especially the SDK. I would suggest to read through some SDK documentation first, and try some examples first.
> maybe I can record my speech to the device.
I am pretty sure this is the very purpose of the kit. So this should work. I am having an OM2098, featuring a LPC54628. Performance should be sufficient for quite a lot of elaborate methods.
> ...how can I get the kit recognized my speech?
This depends on your interpretation of "recognizing my speech".
Audio and speach recognition is usually about "transforming" audio data to text, i.e. recognizing spoken words - regardless of the speaker.
If you want it to recognize you voice specifically, things getting more difficult. You would need to distinguish your specific intonation and voice harmonics somehow algorithmically.
I think there are some generic resources out in the internet, about the mathematic basics and PC-based libs and examples.