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Agora.MathematicalThinkingr1.6 - 25 Mar 2019 - 16:58 - GregorioIvanoff

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Way, Jenni. Using Questioning to Stimulate Mathematical Thinking: Addendum, October 2001,February 2011. Available from < http://nrich.maths.org/2475/Addendum%20to%20this%20article%202475 >. access on 10 June 2016.


LEVELS OF THINKING GUIDE QUESTIONS
Evaluation: makes a value judgement 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?
Synthesis: solves a problem that requires original, creative thinking Who has a different solution? Are everybody's results the same? Why/why not? What would happen if....?
Analysis: solves a problem - conscious knowledge of the thinking What have you discovered? How did you find that out? Why do you think that? What made you decide to do it that way?
Application: solves a problem - use of appropriate generalisations and skills How can this pattern help you find an answer? What do think comes next? Why?
Interpretation: discovers relationships What's the same? What's different? Can you group these in some way? Can you see a pattern?
Translation: changes information into another form 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?
Memory: recalls or memorises information What have we been working on that might help with this problem?


Keywords: mathematics commons in business, mathematical reasoning analysis, higher level thinking, large scale perspectives, creative corporate accounting, higher order thinking, mathematics in inquiry, thinking distortion, mathematical statistics, investigational mathematics, open problems, organised approach, systematic approach, game theory, financial objects, translation exercises, investigations, modeling


Outcomes: higher level thinking questions for math


Way, Jenni. Using Questioning to Stimulate Mathematical Thinking, October 2001,February 2011. Available from < https://nrich.maths.org/2473 >. access on 10 June 2016.


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