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This article by Jennie Pennant explores ways to support children in developing problem-solving skills through task choice, process structuring, and repeated skills practice. It emphasizes engaging all learners and fostering excellence. Learn about rich tasks and low threshold, high ceiling activities, along with key problem-solving skills like trial and improvement, logical reasoning, and pattern spotting. Discover interactive resources such as "Hundred Square" and "Mystery Matrix" to aid in skill development.
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Lynne McClure, Jennie Pennant, Bernard Bagnall and Liz WoodhamNRICH Project Embedding Problem Solving in Our Classrooms: Engaging All Learners
Developing Excellence in Problem Solving with Young Learners Jennie Pennant’s article suggests we can support children in becoming competent and confident problem solvers in three main ways: • Through choice of task • Through structuring the problem-solving process • Through explicitly and repeatedly providing children with opportunities to develop key problem-solving skills http://nrich.maths.org/10865
What is the mathematical knowledge needed to tackle this activity? What problem-solving skills did you use? Who would it be for?
Hundred Square http://nrich.maths.org/2397
What is the mathematical knowledge needed to tackle this activity? What problem-solving skills did you use? Who would it be for?
* Rich Tasks • Have a relatively closed start but offer different responses and different approaches • Invite own questions • Combine fluency and reasoning • Reveal/provoke generalisations • Encourage collaboration and discussion • Are intriguing • May be accessible to all (LTHC)
* Low Threshold High Ceiling • Suitable for whole range • Low entry point • Lots of choices in • method • response • recording • Learners can show what they CAN do, not what they can’t • High ‘finish’ possible
Problem-solving Skills • Trial and improvement • Working systematically • Logical reasoning • Spotting patterns • Visualising • Working backwards • Conjecturing
Numbers 2-12. Only one number used exactly twice
The Problem-solving Process • Stage 1: Getting started • Stage 2: Working on the problem • Stage 3: Going further • Stage 4: Concluding
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
To Summarise … We can support children in becoming competent and confident problem solvers in three main ways: • Through choice of task • Through structuring the problem-solving process • Through explicitly and repeatedly providing children with opportunities to develop key problem-solving skills http://nrich.maths.org/10865