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

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.

Abstract licence: CC BY-NC

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