Lynne McClure, Jennie Pennant, Bernard Bagnall and Liz Woodham NRICH Project

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Lynne McClure, Jennie Pennant, Bernard Bagnall
and Liz WoodhamNRICH Project

• Taking the Fear Factor Out of Rich Tasks
  Supporting the Three Aims of the National
  Curriculum 

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• Focus on Fluency

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Maze 100 http//nrich.maths.org/91
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Four Gohttp//nrich.maths.org/5633
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Reasoned Roundinghttp//nrich.maths.org/10945

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Spiralling Decimals http//nrich.maths.org/10326

• 0.5 0.25 0.75 0.3
• 0.35 0.9 0.99 0.999
• 0.1 0.01 0.05 1.79
• 0.64 0.32 0.54 0.865

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• Focus on Reasoning

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Its a Scrabble http//nrich.maths.org/7953

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• I think this because 
• If this is true then
• I know that the next one is ..because. 
• This can't work because .
• When I tried xxx I noticed that ..
• The pattern looks like
• All the numbers begin with..
• Because xxxx then I think xxxxx
• It will never work because..
•  

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Understanding How Others WorkLots of Lollies
http//nrich.maths.org/2360

• Frances and Rishi were given a bag of lollies.
• They shared them out evenly and had one left
  over.
• Just as they had finished sharing them their
  friends Kishan, Hayley and Paul came along. They
  wanted some lollies too so the children shared
  them out again between all of them. This time
  they had two lollies left over.
• How many lollies could there have been in the
  bag?

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• Focus on Problem Solving

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Types of Task

• Finding all possibilities
• Visual problems
• Logic problems
• Rules and patterns
• Word problems

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Problem-solving skills

• Getting started
• try a simpler case draw a diagram
• represent with model act it out
• 2. Working on the problem
• visualise
  work backwards
• reason logically
  conjecture
• work systematically look for
  a pattern
• trial and improvement
• 3. Going further
• generalise verify
  prove
• 4. Concluding
• communicate findings
• evaluate

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Structured Development of Problem Solving

• Types of problems
• Problem-solving skills
• Objectives for a lesson or series of lessons

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NRICH Support

• Developing Excellence in Problem Solving with
  Young Learners by Jennie Pennant
• http//nrich.maths.org/10865
• Problem Solving and the New National Curriculum
  by Lynne McClure
• http//nrich.maths.org/10334
• Improving Reasoning Analysing Alternative
  Approaches by Malcolm Swan
• http//nrich.maths.org/7812

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Lynne McClure, Jennie Pennant, Bernard Bagnall
and Liz WoodhamNRICH Project

• Embedding Problem Solving in Our Classrooms
  Engaging All Learners