With ever-greater reliance of the developed world on information and communication technologies, constructing secure software has become a top priority. To produce secure software, security activities need to be integrated throughout the software development lifecycle. One such activity is security design analysis (SDA), which identifies security requirements as early as the software design phase. While considered an important step in software development, the general opinion of information security subject matter experts and researchers is that SDA is challenging to learn and teach. Experimental evidence provided in literature confirms this claim. To help solve this, we have developed a framework for teaching SDA by utilizing case study analysis and the hybrid flipped classroom approach. We evaluate our framework by performing a comparative analysis between a group of students who attended labs generated using our framework and a group that participated in traditional labs. Our results show that labs created using our framework achieve better learning outcomes for SDA, as opposed to the traditional labs. Secondary contributions of our article include teaching materials, such as lab descriptions and a case study of a hospital information system to be used for SDA. We outline instructions for using our framework in different contexts, including university courses and corporate training programs. By using our proposed teaching framework, with our or any other case study, we believe that both students and employees can learn the craft of SDA more effectively.