Consultant Teaching vs. Co-teaching

What is the difference between direct consultant teacher services (CT) and integrated co?teaching services (ICT)?  

From NYSUT FACT memo March 2011 No. 8

To the casual observer, direct CT and ICT may appear the same, however, they differ in the many ways. Here are the services are defined:

Direct CT services are specially designed individual or group instruction recommended for an individual student with a disability in his or her general education class, the purpose being to adapt, as appropriate to the needs of the student, the content, methodology, or delivery of instruction to support the student to successfully participate and progress in the general curriculum during regular instruction.  The focus of services provided by the CT is to an individual student with a disability.

Integrated co-teaching (ICT) services means students are intentionally grouped together based on similarity of need for the purpose of receiving specially designed instruction in a general education class, usually daily for the identified class.  In this model, a general education teacher and a special education teacher share responsibility for the delivery of primary instruction, planning and evaluation for all students.