The dynamic requirements of the learners are redefining the process of teaching and learning and keeping the processes in the state of transience. The learning shall be made more effective by the right choice of the teaching method and it is necessary for every teaching method to possess certain essential attributes of flexibility, time efficiency, learner centeredness, and many other attributes. In this chapter, a decision-making problem with five criteria and eight alternatives of teaching methods is considered and the method of neutrosophic TOPSIS (technique for order preference by similarity to ideal solution) is applied to find the optimal ranking of the methods. In this research work the notion of single valued neutrosophic set with linguistic components is introduced as a means of making decision process more pragmatic, realistic, and feasible. This extended notion will certainly set a paradigm shift in decision making with linguistic representations.