### NRICH PROBLEM SOLVING TRIAL AND IMPROVEMENT

You might like to draw a diagram, act it out or represent it with a model. However, it is clear that not all problems fit neatly into just one category and we may debate the categories. The great planetary explorer Nico counted 52 legs. Getting started will mean offering them strategies to help them engage with the problem. What mathematical skills have you got that could be helpful here? Register for our mailing list. On the planet Vuv there are two sorts of creatures.

Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible? Area and Perimeter Age 7 to 11 Challenge Level: Heads and Feet Age 5 to 7 Challenge Level: In this article, Jennie suggests that we can support this process in three principal ways. The stages of the problem-solving process The problem-solving process can usually be thought of as having four stages: By explicitly drawing children’s attention to these four stages, and by spending time on them in turn, we can help children become more confident problem solvers. Fifteen Cards Age 7 to 11 Challenge Level:

Do you start again from scratch or is there a way to use what you’ve already done to help?

## Developing Excellence in Problem Solving with Young Learners

Which way should you go to collect the most spells? Here are some useful problem-solving skills:.

Use these four dominoes to make a square that has the same number of dots on each side. Age 7 to 11 Visualising at KS2 These upper primary tasks all specifically draw on the use of visualising. Also in the concluding part of the problem-solving adventure children will need to be supported to compare different strategies that were used to solve the problem in order to consider the efficiency of the method and the elegance of the solution.

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Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’.

As teachers we can support this process in three principal ways: Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

# Trial and Improvement at KS2 :

The skills needed for a problem-solving task By this we mean the problem-solving skills listed above in Stage 2: Getting started Stage 2: Try making a simpler case to get an idea of how the problem works. The tasks in ad collection encourage upper primary children to conjecture and generalise.

Jennie outlines different ways in which learners might get started on a task stage 1but it is once they have got going and are working on the problem stage 2 that children will be making use of their problem-solving skills.

Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach. Heads and Feet Age 5 to 7 Challenge Level: We trust you will find it useful and we are always interested in your feedback and experiences as you explore problem solving together with the children in your class. Some may take a short time, like Shut the Boxwhilst others may intrigue and challenge over more than one lesson, like Dice in a Corner.

Register for our mailing list. Factor-multiple Chains Age 7 to 11 Challenge Level: This problem challenges you to create shapes with different solvinv and perimeters.

# Trial and Improvement at KS1 :

Register for our mailing list. The great planetary explorer Nico counted 52 legs. Age 5 trual 7 Conjecturing and Generalising at KS1 The tasks in this collection encourage lower primary children to conjecture and generalise.

Can you use the information given to find out how many eggs are in each basket?

By explicitly drawing children’s attention to these four stages, and by spending time on them in turn, we can help children become more confident problem solvers. Kate has eight multilink cubes.

## Trial and Improvement at KS1

Age 5 to 7 Trial and Improvement at KS1 These lower primary tasks could all be tackled using a trial and improvement approach. Use five steps to count forwards or backwards in 1s or 10s to get to Age 5 to 7 Working Backwards at KS1 The lower primary tasks in this collection could each be solved by working backwards.

This article offers you practical ways to investigate aspects of your classroom culture. Trial and Improvement at KS2. To support this aim, members of the NRICH team work in a wide range of capacities, ttrial providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Simply ‘having a go’ is a great way to make a start on a mathematical problem. Trial and Improvement at KS1.

Concluding We can helpfully spend time with children concentrating on one of these stages explicitly, in turn, as they learn to become confident problem ngich. In the second article, Jennie offers you practical ways to investigate aspects of your classroom culture and in the third article, she suggests three ways in which we can support children in becoming competent problem solvers.