Teaching Effectiveness in University Vocal Music Programs: A Void–Plithogenic Nexus Approach (VPNx)

Abstract

-In university vocal music programs, teaching goes far beyond delivering 
musical skills. Instructors are also responsible for protecting vocal health, engaging 
students meaningfully, and continuously improving their teaching methods. Traditional 
evaluation models  such as averages from rubrics or surveys  often miss these deeper 
aspects. They struggle to identify inconsistencies, contradictions, or even areas where 
teaching impact is entirely absent. To address this, we introduce a new model: the Void
Plithogenic Nexus (VPNx). Built on concepts from Plithogenic Set Theory, HyperSoft Sets, 
and Neutrosophic Logic, VPNx provides a more complete and precise way to evaluate 
teaching. It focuses on five essential dimensions: Student Satisfaction, Performance 
Improvement, Vocal Health, Student Engagement, and Reflective Practice. Each 
dimension is measured using a combination of truth, uncertainty, and falsity, and 
adjusted based on how much it aligns or conflicts with ideal teaching standards. The 
VPNx model includes full mathematical definitions, clearly explained equations, and real 
data examples from semester-long evaluations. The results show that VPNx is more 
accurate and insightful than traditional methods, helping educators and institutions 
identify specific strengths, gaps, and areas for growth. Most importantly, it puts critical 
attention on what’s missing not just what’s working, offering a more honest and 
responsible view of teaching effectiveness. 

DOI: 10.5281/zenodo.15468296