This report provides a comprehensive overview of research methodologies, focusing on quantitative and qualitative approaches within the social sciences. It begins by defining these methodologies, explaining their underlying paradigms (positivism, interpretivism, reflexivity, and community of practice), and exploring their historical context. The report then identifies the types of research each method is best suited for, emphasizing the use of quantitative methods for numerical data and qualitative methods for in-depth analysis and attitudinal surveys. The impact of each methodology on social research is evaluated, highlighting the importance of integrating both approaches for comprehensive analysis. Furthermore, the report critically analyzes the strengths and limitations of both quantitative and qualitative methods, discussing the importance of validity, reliability, control, and generalizability. The report also includes references to relevant research and literature.