This Research work explores the effective teaching method using a single case study design and produces a plenty of information about students requirements, teachers recommendations and some teaching methods and learning styles .The resulting analysis provides a complete teaching method that may develop teacher student learning interface as well as may satisfy both student’s requirements and the recommendations of teacher. The analysis also specifies the component essential to develop the relationship between teacher and students as well as the learning environment. In this analysis at first some literature review is done to know the aspects of teaching and learning methods and also different types of teaching and learning methods. From this it is easy to understand what should be the focus of learning and the strategy that can help students to empower themselves with their own thinking power .Then the survey is done among 250 students of Rajshahi University of Engineering and Technology to know the students requirements and teachers recommendation is also brought from the discussion with the teachers of this institute. After that according to the students requirements and teachers recommendation the candidates of teaching method is selected. And finally the Fuzzy Topsis Set Theory is applied to find out the effective teaching method which satisfies the student requirements. The characteristics and advantages are also mentioned which are able to alleviate the gaps that exist in the previous teaching methods.