...In an unprecedented quantum leap in interdisciplinary research, we introduce the concept of ‘Gyneco-Obstetric Algebraic Didactics’ (GOAD). This paper explores the impact of teaching mathematical models using obstetric metaphors on the cognitive flexibility of third-trimester patients and first-year mathematics students alike. Through the introduction of the Ovary-Function Theorem (OFT) and the application of the Cervix-Dilation Equation , the study reveals that explaining non-Euclidean spaces through pelvic retroversion significantly improves calculus test scores and reduces birth anxiety by 13.7%. A case study with pregnant mathematicians and aspiring gynecologists demonstrates that integrating the Fibonacci sequence into labor progression charts induces spontaneous appreciation for abstract algebra and mild cravings for prime numbers. These findings challenge the traditional boundaries between prenatal care and set theory, suggesting that mathematical didactics and obstetric gynecology, when merged, can birth new paradigms in both fields. Further research is encouraged, especially in the context of cesarean matrices and post-partum group theory...