Inquiry: How to implement inquiry based learning?

I think inquiry based learning is important in schools today. I don't have any questions on that, as long as standards are still being met. I searched the seven questions for of the how are you to effectively bring inquiry based learning (IBL) into the schools and more specifically into your classroom. I think it smart to think about all the different people and organizations that have to go into making IBL possible. The systematic alignment model shows how it is not just up to the teachers. The school administrators have to back up the programs as far as producing a standardized education and the parents have to be able to work with their kids.
I looked at the "How do I use IBL with other educational techniques?" question and read about how it can be used with "multipule-inteligence work" and "cooperatitive and collaborative learning" and "constructivism". These are all good ideas to me but I feel like they are saying the same thing. Teachers, admisistrators and parents alike are wanting their students to learn how to problem solve. This is important when it comes to higher education and the job force, I just do not understande the differences (if any) between all the terminology out there.