• Jane Rose H. Endrinal
• Roy Francis R. Navea

Logic plays an important role in carrying out sound decisions or reasonable judgment. Logic is one of the courses found in high school curriculum in which its principles are earlier taught in the Grade 8 Geometry class according to the K to 12 educational platforms. Its principles are very useful not just in mathematics but also in other fields like computer science and engineering. The importance of tracking learning competencies and assessing learning domains is exhibited in this study. There are several factors that affect the continuity of learning. The need to identify them is a must to prevent gaps. In this study the concepts of propositional logic was used to establish a relationship between the factors affecting the students’ learnings in mathematical logic and their learning competencies and learning competencies and learning domains. Item analysis was used to process the data represented by test scores and survey results from Grade 9 to Grade 10 students. “if-then” logic diagrams were developed to map the relationship between the diminishing factors, the learning competencies and the learning domains. General results show three top factors and a single learning competency that affects the three learning domains at most. Truth tables were created to derive the equations of the relationship. Results of this study could be further utilized in developing gap management schemes guided by a proposed gap management paradigm.

math logic, learning competency, learning domain, item analysis, if-then, truth tables, logic equations

"Simplified Propositional Logic As Gap Management Plan for Grade 9 to Grade 10 of Junior High School", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 10, page no.2685-2699, October-2020, Available :http://www.jetir.org/papers/JETIR2010346.pdf

"Simplified Propositional Logic As Gap Management Plan for Grade 9 to Grade 10 of Junior High School", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 10, page no. pp2685-2699, October-2020, Available at : http://www.jetir.org/papers/JETIR2010346.pdf