Well, the biggest difference between the KBIT and the WISC is the length of the test. The KBIT can be completed in like less than 20mins, where the WISC is typically 2 or more hours of testing.
If all the testing was done at school, that can have an impact as well - were children changing classes outside the room during the test? How many times did the bell ring? Did the tester split the test up across several days? If you can get a copy of the WISC scores that will help you see what happened...
If you are trying to advocate for acceleration, you might want to ask them to administer the K-TEA. It's the Kaufman achievement test, and is probably more informative for the school than the WISC or K-BIT tests, because it will show where he's actually at, right now, in terms of education.
ETA: The Kaufman tests seem much more slanted towards visual-spacial learners, as opposed to verbal kids. My son got a 145 on the K-ABC, but his FSIQ on the WISC was like 125 or something... his score on the PRI section of the WISC was 145, but the VCI was only 100... That's why the WISC is so valuable, you can really see where there are issues.
Last edited by epoh; 02/25/13 08:07 AM.