Working in joint effort empowers students' dynamic social connection and helps oversee intellectual and behavioral improvements. This study focused on assessing the effectiveness of the Two Cubed Approach as an introduced Collaborative teaching practice in enhancing the Algebra and the social skills of the students. One group pretest and posttest experimental research design was used to 38 College of Teacher Education first-year Mathematics major students, during the second semester of the academic year 2018-2019. The students experienced working in two cubed collaboration, quartic discussion, paired sharing, and individual verification. Its ultimate goal is to make them become independent learners who mastered the competencies set. The result shows a significant positive increase from pretest to posttest scores in the algebra skills of the respondents, which implies enhanced skills in recalling, simplifying, analyzing, solving, and applying the concepts learned from poor to fair level reached very good to excellent performances. This study also showed that the use of two cubed approaches in the classroom enhanced the social attributes of the learners. They were able to establish good working relationships and shared relevant ideas in accomplishing the tasks provided, leading to a more productive learning experience. The use of two cubed approaches in learning algebraic concepts enhances the students' skill for them to achieve better performances, and its collaborative segments led to a positive view in dealing with their group mates in attaining a high level of social skills.