Questions in mathematics classrooms
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QUESTIONS in mathematics classrooms Adapted from Watson, A. and Mason, J. (1998) Questions and Prompts for Mathematical Thinking, ATM. Exemplifying, Specialising Completing, Deleting, Correcting Comparing, Sorting, Organising Give me one or more examples of … ______________________________ Describe, show, tell, find an example of … ______________________________ Is … an example of …? ______________________________ Find a counter-example of / to … ______________________________ Are there any special examples of …? What must be added / removed / altered in order to allow / ensure / contradict …? _______________________________ What can be added / removed / altered without affecting …? _______________________________ Tell me what is wrong with … _______________________________ What needs to be changed so that …? What is the same and different about …? ______________________________ Sort or organise the following … according to …? ______________________________ Is it or is it not …? Changing, Varying, Reversing, Altering Generalising, Conjecturing Explaining, Justifying, Verifying, Convincing, Refuting Alter an aspect of something to see effect. ______________________________ What if …? ______________________________ If this is the answer, what was the question? ______________________________ Do … in two (or more) ways. What is the quickest, easiest, …? ______________________________ Change … in response to imposed constraints. What happens in general? ______________________________ Is it always, sometimes, never …? ______________________________ Describe all possible … as succinctly as you can. ______________________________ What can change and what has to stay the same so that … is still true? Explain / refute why … ______________________________ Convince me that … / give a reason … (using or not using …) ______________________________ How can we be sure that …? ______________________________ Tell me what is wrong with … ______________________________ Is it ever false that …? (always true that …) ______________________________ Explain how … is used in …
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Transcript of Questions in mathematics classrooms
QUESTIONS in mathematics classrooms Adapted from Watson, A. and Mason, J. (1998) Questions and Prompts for Mathematical Thinking, ATM.
Exemplifying, Specialising
Completing, Deleting, Correcting
Comparing, Sorting, Organising
Give me one or more examples of … ______________________________ Describe, show, tell, find an example of … ______________________________ Is … an example of …? ______________________________ Find a counter-example of / to … ______________________________ Are there any special examples of …?
What must be added / removed / altered in order to allow / ensure / contradict …? _______________________________ What can be added / removed / altered without affecting …? _______________________________ Tell me what is wrong with … _______________________________ What needs to be changed so that …?
What is the same and different about …? ______________________________ Sort or organise the following … according to …? ______________________________ Is it or is it not …?
Changing, Varying, Reversing, Altering
Generalising, Conjecturing
Explaining, Justifying, Verifying, Convincing, Refuting
Alter an aspect of something to see effect. ______________________________ What if …? ______________________________ If this is the answer, what was the question? ______________________________ Do … in two (or more) ways. What is the quickest, easiest, …? ______________________________ Change … in response to imposed constraints.
What happens in general? ______________________________ Is it always, sometimes, never …? ______________________________ Describe all possible … as succinctly as you can. ______________________________ What can change and what has to stay the same so that … is still true?
Explain / refute why … ______________________________ Convince me that … / give a reason … (using or not using …) ______________________________ How can we be sure that …? ______________________________ Tell me what is wrong with … ______________________________ Is it ever false that …? (always true that …) ______________________________ Explain how … is used in …
