# Nrich Problem Solving

They are willing to change their mind when presented with convincing arguments.

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This could lead on to a discussion about the assumptions they will need to make and then you can allow time for pairs/small groups to come to a conclusion.

If the teacher's role is more of a 'guide on the side' rather than a 'sage on the stage', then asking probing questions is of key importance.

The activity offers a context in which to discuss trial and improvement and working systematically, and the way that these two skills are often used together.

Once we have one solution (perhaps by trial and improvement), how many other possible answers are there and how do we know we have got them all (systematic working)?

How do we help our learners to become better at collaborating mathematically?

Read this article to find out more about the importance of collaborative problem solving (CPS) and the impact it can have on your pupils. If you encourage your learners to work in pairs or small groups and share ideas, they may learn to recognise that two heads can be better than one.

Part 2: The Teacher's Role It is perhaps easy to underestimate the effect teacher behaviour can have on enabling problem solving in the classroom.

Ruthven (1989) describes a three-pronged approach to teaching and learning mathematics (Exploration, Codification, Consolidation) which contrasts with the more 'traditional' model of demonstration then practice.

From this point, pupils can work backwards to find the winning approach. involves discussing how many dots pupils can see, and the strategy they use to count them.

This encourages learners to discuss how they are visualising the number patterns within the dots, and helps them appreciate that there is no 'right' way to go about this task.

## Comments Nrich Problem Solving

• ###### Mathematical problem solving with NRICH plus.
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If this issue's Puzzle page whets your appetite for solving mathematical puzzles online then you might like to look at a new internet journal, Interact, published by the NRICH Maths project. The journal, updated monthly, features a collection of problems designed to get you thinking.…

• ###### Part 1 Problem solving with NRICH - Pearson
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Part 1 Problem solving with NRICH. March 30, 2016. Read the first of two guest posts from Liz Woodham, Primary Coordinator at NRICH, with advice on how their mathematical tasks can be used in the classroom.…

• ###### Nrich maths Shared lessons Share My Lesson
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NRICH aims to * Enrich the experience of the mathematics curriculum for all learners * Offer challenging and engaging activities * Develop mathematical thinking and problem-solving skills * Show rich mathematics in meaningful contexts.…

• ###### NRICH - Website Review - Common Sense Media
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Parents need to know that NRICH's free K-12 math activities require kids to use mathematical thinking; this type of problem solving can take a while, so encourage kids to stick with it. For math-anxious grown-ups, there are solutions and plenty of tips in NRICH's parent-friendly teaching area.…

• ###### Nrich differentiated mathematical problem solving. by.
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Focussed mathematical problem solving on all the specific required topics of any mathematical syllabus for children aged between 7 and 14. A good resource to include in the gifted and talented policy and something that allows the children to access mat.…

• ###### Nrich Problem Solving STEM
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Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today.…

• ###### Primary Students nrich.
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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.…

• ###### Problem Solving nrich.
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This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Read Lynne's article which discusses the place of problem solving in the new curriculum and sets the scene.…

• ###### Welcome STEP Support Programme
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STEP Support Programme - free online resources. The STEP Support programme is designed to help university applicants develop their advanced problem-solving skills and prepare for sitting STEP Mathematics examinations. The programme is developed by the Faculty of Mathematics and NRICH.…

• ###### Problem Solving NZ Maths
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This section of the nzmaths website has problem-solving lessons that you can use in your maths programme. The lessons provide coverage of Levels 1 to 6 of The New Zealand Curriculum. The lessons are organised by level and curriculum strand. Accompanying each lesson is a copymaster of the problem in English and in Māori.…