In the movie Die Hard 2 there is a scene:
[Zeus Carver and John McClane (the good guys) run up to an open briefcase on a fountain left by Simon Gruber (the bad guy).]
[Phone call transcript between John, Zeus, and Simon.]
Simon, “I trust you see the message. (The bomb) It has a proximity circuit, so please don’t run.”
John McClane [the good guy], “Yeah, I got it we’re not going to run. How do you turn it (the bomb timer) off?”
Simon, “On the fountain there should be two jugs. You see them; a 5 gallon and a 3 gallon? Fill one of the jugs with exactly 4 gallons and place it on the scale and the timer will stop. You must be precise one ounce more or less will result in detonation.”
How will John and Zeus get exactly 4 gallons into one of the jugs?
Start working on the problem. We'll check back in about 10 minutes.
It’s not a problem if you want to just talk, and it’s also not a problem if you want to show a visual somehow. (We just want to see how you do/have been sharing mathematical thinking.)
Is this a problem that you imagine you would do with your students? Explain.
How does our previous discussion inform the goal for your Problem Solving unit? What would the unit look like?
How would you “teach” problem solving strategies so that students organically learn?
How would you sequence these types of problems and organize them for the unit? Is there a pattern to these types of problems ;)