Comparative Teaching Methodologies For the inexperienced teacher of TEFL,
 For the inexperienced teacher of TEFL, the question of what to   teach presents a very scalable hurdle. There is the matter of   dividing the material into different lessons, gauging the students'   levels and progress, and making sure what is being taught is   relevant and technically accurate. However, for the native speaker   who can always fall back on their own intuitive knowledge, these  are  not real problems. 
The true challenge, then, comes when a new  teacher must determine  how to teach their classes.
 There are a multitude of  different TEFL-teaching methods for a  teacher to choose from.  Though most of these will ultimately be left  by the wayside, it is  important to gain an understanding of each  before the teacher  decides which is right for them. 
The first teaching method  listed by almost any source is the Grammar- Translation Method. The  roots of this technique are deep. 
For  centuries the teaching of Greek and Latin were essential parts  of  Western Education. As described by the resource Language Link,  the  Grammar-Translation Method is the modern equivalent of   that 'Classical Method' that was so successful for so long. So what   is it' ITTT's description of the method in Unit 3 refers to it   as, 'in effect, a method of translation.' The Grammar-Translation   Method focuses of grammatical structures, vocabulary, and textual   accuracy. Literature is a big part of this method, as it was/is to   students of Latin and Greek. Almost zero attention is paid to   pronunciation and everyday use of English. 
The first  branch to sprout from the Grammar-Translation tree was the  Direct  Method. This technique emerged around the early 1800s when  teachers  started experimenting with more verbal, functional  approaches to  teaching. With the Direct Approach, the native tongue  is (ideally)  never used in class. The focus is on dialogue and  conversation. San  Diego State's Jill Mora explains that 'Grammar is  taught  inductively--rules are generalized from the practice and  experience  with the target language.' There is very little to no  translation.  
These days, the Direct Method has grown into the Audio- Lingual  Method. Language Link puts the beginnings of this method  around  WWII, when increased globalization forced people to learn  quick and  usable English. Audio-Lingualism is based off of  Behaviorist  theories of learning that focus on habit-forming  techniques. Here,  little formal material is taught is and the  students learn by  speaking, listening, and learning from context.  
If the A-L Method comes from the Direct, the Reading  Approach comes  from Grammar-Translation. This method is simple and  straightforward' it is geared solely towards reading and reading  comprehension. This  is designed for those who do not plan to  immerse themselves but only  want to learn to read English. 
In my research, ITTT was the sole exponent of this methodology, but   in truth it is an extremely important technique. Presentation,   Practice, and Production (PPP) is a three-stage system that tries  to  combine the best of all TEFL worlds. This method is best for  lower  levels because it fully addresses a certain topic or set of   materials. 
Community Language Learning (CLL) is a  different kind of language  instruction. According to Mora, 'it is  patterned upon counseling  techniques.' CLL asks students to form  into a circle and is based  off of student control and student  discussion. The teacher remains  outside the circle and acts as  language counselor while the students  asks questions of each other  in their native tongue, which they then  translate into English.  
The Silent Method is similar to CLL because it calls for  the teacher  to minimize their role. This, however, take sit to an  extreme. The  teacher is to almost entirely remain silent while the  students  undertake 'Discover Learning' through problem-solving  activities  that force them to, in effect, self-teach themselves  English. This  method tends to be rare in TEFL  classrooms.
Communicative Language Teaching, or CLT,  focuses on teaching  students how to use English in the real world.  As Language Link  describes, 'Teaching students how to use the  language is considered  to be at least as important as learning the  language itself.' With  this method, which can seem generic at  times, the focus is on using  the English and the different  situations it will be required in. 
Next, another oft- mentioned approach is Total Physical Response, or  TPR. This  technique pairs learning with physical motor activity. The  theory  is that such 'total' learning processes will help the  students to  better recall the language learned. Mora explains that  the concept  holds that the 'combination of skills allows the student  to  assimilate information and skills at a rapid rate.'
The  final major method is the Suggestopaedia Method. This approach   centers itself around the comfort of the student'believing that the   relaxed student will absorb more information. Here, teachers and   students develop parent-child relationships (e.g. they get new   names), and a three-stage lesson delivers and reviews material in a   structured (but relaxed) manner.
Of course, the list of  different methodologies does not stop here.  Other techniques  include the Natural Approach and Lexical Approach,  to name a few.  All these different approaches are important to know  before  deciding which works best for you. There are a number of  variables  (class size, skill-level, attitude) that will help  determine the  right path, as well as a number of different paths and  combinations  of approaches. Ultimately, each teacher must find which  they are  most comfortable with and which they feel works the best.  Teaching  is itself forever a learning process. 
 
Sources ITTT TEFL 20-Unit Course. Unit Three: Methodology,  Mistakes, and  Feedback. 
'Comparative Teaching  Methodologies.' Language Link.   http://www.jobs.languagelink.ru/TEFL/methodologies.php
Mora,  Jill Kerper. 'Second-Language Teaching Methods.' San Diego  State  University.   http://coe.sdsu.edu/people/jmora/ALMMethods.htm#Functional  
 




