The first hypothesis I want to touch on is the Acquisition-Learning Hypothesis. Basically, Krashen posits that language learning and language acquisition are different processes. Learning is conscious; it involves memorizing vocabulary lists and doing grammar drills. Acquisition is an unconscious process, much like how we learned our first language when we were children. Acquisition occurs when a person is focused on the message given in a certain language, not on the language itself.
For example, if I asked most of you what the number "nine" is in Spanish, you could probably tell me. You most likely would have to count up from one (uno...dos...) or think about it for a minute, but you could tell me. That is something that you have learned. It's not acquired yet (for most of you), because it didn't come out spontaneously, without thinking. However, if you are fluent in Spanish, you would be able to tell me that it's "nueve" without a second thought. That's because you have acquired that language.
This Acquisition-Learning Hypothesis is definitely changing the way I teach, particularly in my ESL 1 class. I focus a lot on providing them comprehensible input in English (that's the next hypothesis!) so that they can acquire the language subconsciously. We talk a lot about things that are interesting to them (so far, basically food and animals...) in a way that everyone can understand. That includes a lot of terrible drawings done by yours truly, gestures, whole-class motions/actions, Google Images, and some translation. It's really fun, and if you ever have a free minute during 1st hour, I invite you to stop by any time!
So, how does this hypothesis apply to your content classes?