A problem is a doubtful or difficult question; a matter of inquiry, discussion, or thought; a question that exercises the mind (Oxford English Dictionary) A problem is a situation or task for which a.the person wants or needs to find a solution b.the person does not have a solution for the problem right at that moment c.the person makes an attempt to find the solution

Our ideas:

Ron’s Recycle Shop was started when Ron bought a used paper-shredding machine. Business was good so Ron bought a new shredding machine. The first machine could shred a truckload of paper in 4 hours. The new machine could shred the same truckload of paper in half the time. How long will it take to shred a truckload of paper if Ron runs both shredders at the same time?

Stuck?  Are you overlooking anything? Do the two machines work simultaneously? Do they run just as fast when working together as when they work alone?  Have you tried to predict or guess about how much time you think it should take the two machines? For example, will it be closer to 1 hour or closer to 4 hours? Why? Checking a guess can sometimes lead to a new insight into the problem.  Did you try drawing a picture to help you solve the problem?  Perhaps you could use something that you could move or change. For example, you might draw a rectangle or line segment to stand for the truckload of paper, or you might get some counters and make a collection that stands for the truckload.

Understand the problem. Devise a plan for attacking the problem. Carry out the plan. Look back at the problem, the answer, and what you have done to get there.

A special strategy for reading math problems is called the 3-Read Strategy. It involves reading a problem several times in order to try to understand the problem clearly. It then involves devising a plan or strategy, carrying it out, and then checking your ideas. Work on the assigned activity in order to practise this strategy.

The first read is designed so that you can understand the general idea of the problem. The second read is designed so that you can focus in on the separate facts and the actual question. The third read is designed so that you can recheck the problem to make sure you have not misunderstood anything.

After understanding the problem, you need to think of possible ways to solve it. You need to think about the best strategy to use. Next, you must put into action the strategy or plan you have come up with. Record your thinking using pictures, symbols, and/or words. Lastly, you need to check over what you have done to make sure that you have answered the question and explained your thinking.

Now practise the 3-Read strategy on some new problems. Examine the checklist for Problem Solving given to you by the teacher. (Van de Walle, page 58)