45-F Global Secondary Mathematics Systematic Analysis Based on PFUS/PFUSR Unified Model

This paper takes the PFUS/PFUSR Pythagorean Frustum unified system as the core support, and compiles a standardized academic teaching analysis paper fully aligned with the American Common Core and Cambridge IGCSE/A-Level global secondary mathematics curriculum. Aiming at long-standing defects in global basic mathematics teaching, such as vague concept definition, inherent logical contradictions, fragmented knowledge system, and neglect of essential origin, this paper adopts a fixed three-paragraph structure: traditional mainstream statement, essential interpretation based on PFUS/PFUSR, and standardized problem-solving. Relying on the eleven-dimensional coaxial double-cone geometric structure, coupling reference plane system and four-dimensional structural mathematics theory, it systematically analyzes number system operation, equations, plane & solid geometry, elementary functions, limit, derivative and integral. The paper resolves century-old logical dilemmas in classical mathematics, optimizes computing logic, standardizes problem-solving paradigms, and fully verifies the universal applicability of the PFUS/PFUSR system. It provides a brand-new systematic theoretical support for the reform of global basic mathematics education, and is suitable for international academic confirmation, open-source platform filing and overseas academic publication.