Transcript Engaging Mathematics For All Learners

Taking the Fear Factor Out of
Rich Tasks: Supporting the
Three Aims of the National
Curriculum
Lynne McClure, Jennie Pennant, Bernard Bagnall
and Liz Woodham
NRICH Project
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Focus on Fluency
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Maze 100
http://nrich.maths.org/91
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Four Go
http://nrich.maths.org/5633
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Reasoned Rounding
http://nrich.maths.org/10945
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Spiralling Decimals
http://nrich.maths.org/10326
0.5
0.35
0.1
0.64
0.25
0.9
0.01
0.32
0.75
0.99
0.05
0.54
*
0.3
0.999
1.79
0.865
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Focus on Reasoning
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It’s 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 Work
Lots 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
1. 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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Embedding Problem Solving in
Our Classrooms: Engaging All
Learners
Lynne McClure, Jennie Pennant, Bernard Bagnall
and Liz Woodham
NRICH Project
© University of Cambridge