This course makes use of the repertoire of mathematical knowledge and skills students have developed over the years to deepen and further enhance their understanding of the subject. It allows the students to explore situations, recognize patterns, formulate, test and justify conjectures, and make generalizations. It aims to develop the students to become logical, critical problem solvers and models who are adept at using varied strategies for proving properties and solving problems. Likewise, it aspires to enhance their communication skills, both oral and written, through written and oral defense of research-based investigatory projects in mathematics. Further, it aims to change the students’ image of mathematics as a “toolkit” and impress in them the view that mathematics is a dynamic and growing body of knowledge and processes.