In the field of network administration and programming, mastery of technical skills as well as non-technical or soft skills, such as teamwork, problem-solving, self-regulated learning, and communication, are increasingly emphasized both in practice and research. While little research exists concerning the instructional practices of such skills within community colleges, even less is known about community college instructors' conceptions of these crucial 21st century skills. This paper reports a qualitative, exploratory study examining how community college instructors defined and taught communication and teamwork competencies in their computer technology classrooms. The data was collected from multiple data sources -- instructor interviews, observations of classroom teaching, and student focus group discussions about their learning. Main findings include the influence of instructor backgrounds on their teaching practices, the situational nature of how instructors defined and conceptualized communication and teamwork skills, and the prominent use of teacher-centered practices in the teaching of communication and teamwork skills. We conclude that while faculty participants in this study considered teamwork and communication skills to be important, their classroom teaching was insufficiently student-centered to truly cultivate these skills. Thus, we argue that more training, resources, and support structures are needed for community college instructors in order to better cultivate the communication and teamwork skills of their students. This paper adds empirical evidence to the national conversations on the critical issues of skills, student employment, and pedagogy, and also utilizes a triangulating approach to better document faculty teaching practices.