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Mathematical reasoning & proof. Mathematical Thinking. Pedagogy. Rich Tasks. Patterned numbers. Dynamical systems. Problem solving. Learning mathematics. Sequences. Group worthy.

### There are 38 results

Broad Topics > Mathematics Education and Research > Problem solving

### A New Challenge

##### Stage: 1 and 2

In this article for teachers, Bernard gives some background about the theme for November 2011's primary activities, which focus on analysing different approaches.

### Devon Teachers Enriching NRICH - Part 1

##### Stage: 1 and 2

It began in Devon in 2008. The Maths Team was keen to raise the profile of mathematics investigations and further promote mathematical thinking and problem solving in primary classes. Liz was invited. . . .

### Cultivating Creativity

##### Stage: 1, 2, 3, 4 and 5

Creativity in the mathematics classroom is not just about what pupils do but also what we do as teachers. If we are thinking creatively about the mathematical experiences we offer our pupils we can. . . .

### Devon Teachers Enriching NRICH - Part 2

##### Stage: 1 and 2

This is the second part of an article describing the ‘Enriching Mathematics’ project in Devon. The participating teachers describe NRICH activities they have tried with their learners.

### I've Submitted a Solution - What Next?

##### Stage: 1, 2, 3, 4 and 5

In this article, the NRICH team describe the process of selecting solutions for publication on the site.

### On Problems and Problem Solving - Looking Backward and Forward

##### Stage: 1, 2, 3, 4 and 5

Jenny Piggott reflects on the event held to mark her retirement from the directorship of NRICH, but also on problem solving itself.

### Using Low Threshold High Ceiling Tasks

##### Stage: 1 and 2

This article explores what LTHC tasks are and why they are a firm favourite here at NRICH. We recommend that you start by reading the article to understand what makes a task LTHC and then delve into. . . .

### Working with Highly Able Mathematicians

##### Stage: 1 and 2

In this article for teachers, Bernard describes ways to challenge higher-attaining children at primary level.

### Group-working Skills

##### Stage: 1 and 2

This article for teachers suggests a range of activities to help children get better at working in groups.

### Exploring Fractions

##### Stage: 1 and 2

This article, written for primary teachers, links to rich tasks which will help develop the underlying concepts associated with fractions and offers some suggestions for models and images that help. . . .

### Problem Solving and the New Curriculum

##### Stage: 1 and 2

Is problem solving at the heart of your curriculum? In this article for teachers, Lynne explains why it should be.

### What's the Difference Between Rich Tasks and Low Threshold High Ceiling Ones?

##### Stage: Early years, 1 and 2

In this article for teachers, Lynne explains the difference between 'rich tasks' and 'low threshold high ceiling' tasks, using examples from the website.

### A Problem Is a Problem for All That

##### Stage: 2, 3 and 4

In this article, Jennifer Piggott talks about just a few of the problems with problems that make them such a rich source of mathematics and approaches to learning mathematics.

### Maths and Creativity in Bristol

##### Stage: 1 and 2

This article for teachers describes NRICH's work with Creative Partnerships and three Bristol primary schools.

### Working with Luke

##### Stage: 1 and 2

In this article for teachers, Liz Woodham describes conversations with Luke, aged 7, as they worked on some mathematics together.

### Integrating Rich Tasks - Activity 2.1

##### Stage: 1 and 2

This professional development activity looks at what teachers can do to support learners engaging with rich tasks

### Integrating Rich Tasks - Activity 1.4

##### Stage: 1 and 2

This professional development activity encourages you to investigate how rich tasks and problem solving link together.

### Integrating Rich Tasks - Activity 1.5

##### Stage: 1 and 2

This professional development activity encourages you to investigate what pupils are doing when they problem solving.

### Integrating Rich Tasks - Activity 3

##### Stage: 1 and 2

The aim of this professional development activity is to successfully integrate some rich tasks into your curriculum planning.

### MEI 2005

##### Stage: 1, 2, 3, 4 and 5

Presentation given at the MEI conference in Reading 2005

### Integrating Rich Tasks - Activity 1.3

##### Stage: 1 and 2

This professional development activity encourages you to investigate what is meant by higher-order thinking skills.

### Teachers Using NRICH 2

##### Stage: 3 and 4

Kirsti Ashworth, an NRICH Teacher Fellow, talks about her experiences of using rich tasks.

### Breaking the Equation ' Empirical Argument = Proof '

##### Stage: 2, 3, 4 and 5

This article stems from research on the teaching of proof and offers guidance on how to move learners from focussing on experimental arguments to mathematical arguments and deductive reasoning.

### Holywell Primary School and NRICH Action Research Project

##### Stage: 1 and 2

This article for teachers outlines one school's research project to explore how children, girls in particular, could be motivated in Maths through a more practical approach.

### Take a ... Geoboard

##### Stage: 1 and 2

This article for teachers explains why geoboards are such an invaluable resource and introduces several tasks which make use of them.

### Many Ideas with a Few Cubes

##### Stage: 1 and 2

This short article outlines a few activities which make use of interlocking cubes.

##### Stage: 1 and 2

In this article for teachers, Liz Woodham describes resources on NRICH that can help primary-aged children get to grips with negative numbers.

### I'm Stuck!

##### Stage: 1 and 2

Being stuck is usually thought of as being a negative state of affairs. We want our pupils to succeed, not to struggle. Or do we? This article discusses why being stuck can be fruitful.

### Jo Boaler Explains Complex Instruction

##### Stage: 1, 2, 3, 4 and 5 Challenge Level:

A video clip of Jo Boaler talking about Complex Instruction.

### Thinking Through, and By, Visualising

##### Stage: 2, 3 and 4

This article is based on some of the ideas that emerged during the production of a book which takes visualising as its focus. We began to identify problems which helped us to take a structured view. . . .

### Two Classes Working on Counting Cogs

##### Stage: 1, 2, 3, 4 and 5 Challenge Level:

Two video clips of classes organised into groups to work on Counting Cogs.

### Enriching Networks, Inspiring Teachers

##### Stage: 3 and 4

Here are examples of how two schools set about the task of ensuring that problem solving was an integral part of their curriculum.

### Experiencing Problem Solving

##### Stage: 1 and 2

Bernard Bagnall looks at what 'problem solving' might really mean in the context of primary classrooms.

### Maths Trails

##### Stage: 2 and 3

The NRICH team are always looking for new ways to engage teachers and pupils in problem solving. Here we explain the thinking behind maths trails.

### Learning Mathematics Through Games Series: 4. from Strategy Games

##### Stage: 1, 2 and 3

Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .