When coming up with a question for maths
Anticipate the possible misconceptions and possible mistakes students might make
Should lead to the big idea or concept
Active listening - revoice, ask questions to try to understand their thinking,
Be a driver for your learning. Point to the person who's in charge. Point to the person who's going to help you get there.
Use drama to act out a problem to help unpack it (milk bottles)
The best student in the group is to make sure the others understand
Teacher focus on dynamics - not your role to give clues. May prompt with carefully crafted questions
Argumentation is encouraged - explicit mentioning of the talk moves
Give students an opportunity to share their ideas, justification etc, then ask the others if there are any questions. We don't interrupt until they have finished sharing.
Questioning tips for maths:
LEVELS OF THINKING
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GUIDE QUESTIONS
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Memory:
recalls or memorises information
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What have we been working on that might help with this problem?
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Translation:
changes information into another form
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How could you write/draw what you are doing? Is there a way to record what you've found that might help us see more patterns?
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Interpretation:
discovers relationships
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What's the same? What's different?
Can you group these in some way?
Can you see a pattern?
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Application:
solves a problem - use of appropriate generalisations and skills
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How can this pattern help you find an answer?
What do think comes next? Why?
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Analysis:
solves a problem - conscious knowledge of the thinking
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What have you discovered?
How did you find that out?
Why do you think that?
What made you decide to do it that way?
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Synthesis:
solves a problem that requires original, creative thinking
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Who has a different solution?
Are everybody's results the same? Why/why not?
What would happen if....?
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Evaluation:
makes a value judgement
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Have we found all the possibilities? How do we know?
Have you thought of another way this could be done?
Do you think we have found the best solution?
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