Confusion - “CV including a summary of teaching experience”
Besides asking them about more clear instructions, I would suggest having two separate sections in your CV:


Teaching Experience
Work Experience


from that, it would be clear which positions are the teaching ones, and which are research/other.

For this type of applications, it might not hurt to expand the Teaching Experience section with slightly more details on the courses taught, like


title
graduate/undergradute
approximate # students
whether you developed the course content/course materials


Your teaching statement is a separate document.