This article stresses on answering the questions on how HCMCL implemented for promoting students’ critical thinking, and how the students’ potentials of critical thinking in the aspects of communication, reasoning, and self-reflection promoted in the class. The ethnographic-case study was undertaken in writing skills. Descriptive- Qualitative is used to analyze the findings. The data gathered from in-depth interview, field notes, questionnaires and students’ documents. The finding reveals that the lecturer considered the four key dimensions of time, fidelity, space, and humanness in its implementation. The data also reveals that HCMCL can promote students potentials of critical thinking in communication, reasoning, and self reflection. However, some points needed to be improved by the learners in the first aspect especially related with linguistics conventions. HCMCL provides the chances for the learners to communicate with their peers and other members of group to complete the tasks. This process demand the students to work in a group which requires another set of complex skills; students needed to manage interdependence with others and to reconcile differences for mutual benefit.