In social robots, AI has been seamlessly integrated to enable them to be programmed to perform a wide range of tasks, from basic movements and interactions to more complex functions, such as assisting in education. This comprehensive review delves into the multifaceted use of social robots in primary and secondary education, addressing key aspects such as trends, theoretical foundations, application domains, and ethical considerations. Guided by four primary research questions, the study reveals notable trends, with the NAO robot emerging prominently in educational settings, particularly among primary school-age children. Application domains explored include language learning, computational thinking, social and emotional development, creativity support, musical instrument practice, and library activities, showcasing the diverse roles social robots play as teaching assistants, peers, and companions. However, ethical concerns and data privacy issues surface, posing risks such as transparency issues, dependency on robots, reduced human interaction, and potential job displacement. The study stresses the need for extensive longitudinal studies and collaborative efforts to responsibly integrate social robots into education, emphasizing the necessity for collaboration among educators, policymakers, developers, and privacy experts to establish clear guidelines prioritizing students' well-being.