Who Lives Where?Task 110 ... Years 2  8SummaryMathematicians have ways of knowing. Learning to work like a mathematician is learning these ways of knowing. This problem requires reasoning skills independent of any textbooklike skills, so is open to a wide range of students. Ifthen reasoning is called on significantly in this challenge in two ways. If this is true ... then this must also be true and If this is true ... then this cannot be true. 
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IcebergA task is the tip of a learning iceberg. There is always more to a task than is recorded on the card. 
One approach to Who Lives Where? is Guess, Check & Correct. Let's try putting the Papadopoulos family here and see if the other clues work.Students will soon realise that guesses can be influenced by stated or implied information in the clues. For example:
Eventually this answer will emerge:
The iceberg of the task flows from asking students how they think the task was designed in the first place. What came first? The clues?It is more likely that the designer first thought of the story shell, then laid out the grid, then thought up the clues. Would you like to try making up one of your own?Not as easy as it might sound but a worthy project which will need to involve testing on others before the result becomes part of the class set. 
Whole Class InvestigationTasks are an invitation for two students to work like a mathematician. Tasks can also be modified to become whole class investigations which model how a mathematician works. 
This task is a partner (in terms of content) to the more complex Police Line Up and others in the set. Selecting several such tasks can be the source of a Language and Logic menubased unit. However, words matter in this task so you might prefer to build a strong literacy component around the language of the card. Consider producing the clues in large form  poster or word processed and projected (you cannot photocopy the card)  to generate discussion. Then use your Maths Mat folded to be 4 rows of 3 as the grid. Some children carry signs representing the cards in the task and sit in the grid where they are told. The remaining children instruct based on their interpretation of the public clues. A variation on this approach is to write the clues on strips of paper  one clue per strip  and give one strip to each pair. It is the pair's responsibility to make sure their clue is taken into account. At this stage, Who Lives Where? does not have a matching lesson on Maths300. 
Is it in Maths With Attitude?Maths With Attitude is a set of handson learning kits available from Years 310 which structure the use of tasks and whole class investigations into a week by week planner. 
The Who Lives Where? task is an integral part of:
