The subjects that I teach (math and statistics) lend themselves to active learning. Math is a tool which is used on the job for problem solving; this is kind of a definition of analytical thinking. I use several different things in my classroom. However, I do use a form of lecture to present concepts and how to use the mathemtical tools which they have to learn.
During my "lectures," my students are directed to help me do the problem by telling me what to write on the board. During the problems, we discuss why certain things are done. In order for math to be used effectively, it should be thought of a toolkit, and the student needs to be able to pull out the correct tool to solve the problem.
In Statistics, we use small groups and individual work. In one of the assignments, the students develop online surveys, send them out to fellow students, access the information, analyse the information, and develop conclusions concerning the respondees.
The active learning methodology works very well when you are trying to teach critical and analytical thinking skills.