Poster Problem ClinicIt is not appropriate to offer students tasks in an unsupported way. If they have had no experience with working independently in maths we need to provide scaffolding to help them dig into the investigation. Otherwise they may see tasks as some form of game where the objective it to 'get as many done as possible'. One approach to getting the class started on the tasks and giving it a sense of direction and purpose is to start with a whole class problem.I was apprehensive about using tasks when it seemed such a different way of working. I felt my children had little or no experience of problem solving and I wanted to prepare them to think more deeply. The Clinic proved a perfect way in.Usually this is displayed on a poster that all can see, perhaps in a Maths Corner or on the electronic whiteboard. Another approach is to print a copy for each person. A Poster Problem Clinic fosters class discussion and thought about problem solving strategies. |
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Starting the lesson this way also means that just prior to liberating the students into the task session, they are all together to allow the teacher to make any short, general observations about classroom organisation, such as to remind them about Daily Management Principles, or to celebrate any problem solving ideas that have arisen.
A Clinic in ActionThe aims of the regular clinic are to:
PreparationFor each session teachers need:
The How To Solve A Problem/Strategy Board can be prepared in advance as a reference for the children, or may be developed with the children as they explore problem solving and suggest their own versions of the strategies. It can be used in any maths activity and is frequently referred to in Maths300 lessons as it is a component of the Working Mathematically Process. The problem can be chosen from
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Step 1 - Read & Understand
Plan 1Sharing strategies is invaluable as it provides children who might feel lost in this type of activity with an opportunity to listen to their peers and make sense out of strategy selection. Note that such children are not given the answer. Rather they are assisted with understanding the power of selecting and applying strategies.
Well we're drawing a picture and sort of making a model.
Can you give me more information please Brigid?
We're putting 60 crosses on our paper for sheep and the pen top will be Eric. Then Claire will circle one from that end, and I will pass two crosses with my pen top.Plan 2
Our strategy is Guess and Check.
That's good Nick, but how are you going to check your guess?
Oh, we're making a model.
Go on...
John's getting MAB smalls to be sheep and I'm getting a domino to be Eric and the chalk box to be the shed for shearing.Plan 3
We are doing it for 3 sheep then 4 sheep then 5 sheep and so on. Later we will look at 60.
Great so you are going to try a simpler problem, make a table and look for a pattern.
Step 3 - Get started
We used the drawing strategy, but we changed while we were doing it because we saw a pattern. So Jake, you used the Look For A Pattern strategy. What was it? We found that when Eric passed 10 sheep, 5 had been shorn, so 20 sheep meant 10 had been shorn ... and that means when Eric passes 40 sheep, 20 were shorn and that makes the 60 altogether. Great Jake. How would you work out the answer for 59 sheep or 62 sheep?Sharing time is also a good opportunity to add in a strategy which no one may have used. For example:
Maybe we could've used the Write an Equation strategy, for example, 1 sheep goes to be shorn and Eric passes two sheep. That's 3 sheep, so perhaps, 60 divided into groups of 3, or 60 ÷ 3 gives the answer.