My problem with problem solving.

Okay here's what I know: Teaching mathematical topics through real-life, problem-solving contexts and enquiry-oriented environments helps students develop a deeper understanding of mathematical concepts. 
Here's what I don't know: How?  

The emphasis in mathematics has shifted from teaching problem solving to teaching via problem solving. Teaching math through problem solving helps students: 

• developing different skills and the ability to apply their skills to unfamiliar situations
• to learn how to gather, organize, and interpret a variety of information
• formulate questions, seek out any appropriate data, experiment and discover patterns.   
• encourages them to be curious, confident and open-minded

But, honestly, how do I do it? Just put students in groups, hand them some chart paper, and put a problem up on the board from the textbook? Kay kids, when the big hand gets to the nine we'll take it up! Right? Mmm...not quite.  

Already popular in the Math world, here is a video from math teacher Dan Meyer, where he talks about changing the way we teach problem solving in math. Although he is American, I believe many of the issues are the same. He allows us to realize how our textbook teach students what to expect, or excel at what he calls, "paint by numbers" classwork. Instead, students should be learning to stop, think and even formulate the problems themselves. Watch it, let me know what you think. Definite "auh-ha" moment for me. 

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Hope this video hasn't been posted before. I looked around just to be sure...but if it is just check it out again. It's pretty good.