This contribution proposes the Cognitive-AI Synergy Framework (CASF), a novel approach to integrating Generative Artificial Intelligence (GenAI) in education. CASF synthesizes De Zubiría's dialogic pedagogical model with the Artificial Intelligence Assessment Scale (AIAS) to align GenAI integration with students' cognitive development stages. Our newly introduced framework addresses the challenge of effectively incorporating GenAI tools in education while ensuring the development of fundamental skills and critical thinking abilities. To demonstrate practical implementation, we present the CASF Implementation Assistant, which has evolved from a simple AI assistant to a structured agent in n8n with enhanced conversation flow and contextual understanding. This tool provides tailored guidance to educators for integrating AI based on students' cognitive levels and course requirements. We discuss potential challenges in implementing CASF, including the complexity of aligning teaching methods with cognitive levels and the risk of over-reliance on GenAI. To address these challenges, we provide comprehensive recommendations and good practices for educators implementing CASF. These guidelines encompass curriculum redesign, innovative pedagogical approaches, adaptive assessment strategies, and integrating ethical considerations. This contribution presents evaluation methodologies for assessing the framework's performance and future research directions, such as empirical validation and longitudinal studies on CASF's impact on learning outcomes and career preparedness.