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Broad Topics > Mathematics Education and Research > Pedagogy

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Generating Number Patterns: an Email Conversation

Stage: 2, 3 and 4

This article for teachers describes the exchanges on an email talk list about ideas for an investigation which has the sum of the squares as its solution.

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Logic, and How it Should Influence Our Teaching

Stage: 1, 2, 3 and 4

Providing opportunities for children to participate in group narrative in our classrooms is vital. Their contrasting views lead to a high level of revision and improvement, and through this process. . . .

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Working Effectively with All Learners

Stage: 1, 2, 3, 4 and 5

Some questions and prompts to encourage discussion about what experiences you want to give your pupils to help them reach their full potential in mathematics.

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Teachers Using NRICH 3

Stage: 3 and 4

Sharon Walter, an NRICH teacher fellow, talks about her experiences of trying to embed NRICH tasks into her everyday practice.

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Two Heads Are Better Than One

Stage: 1, 2 and 3

An article that reminds us about the value and importance of communication in the mathematics classroom.

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Optimising Input - Maximising Output

Stage: 3, 4 and 5

A group of teachers involved in embedding NRICH tasks into their everyday practice decided they needed to address the (im)balance between teacher and student activity in their classrooms. In. . . .

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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.

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Engaging Students, Developing Confidence, Promoting Independence

Stage: 1, 2, 3, 4 and 5

Ideas to support mathematics teachers who are committed to nurturing confident, resourceful and enthusiastic learners.

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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.

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Teachers Using NRICH 2

Stage: 3 and 4

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

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What's All the Talking About?

Stage: 1, 2, 3 and 4

This fascinating article delves into the world of talk in the classroom and explains how an understanding of talking can really improve the learning of mathematics.

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Changing Perceptions

Stage: 3 and 4

A group of teachers involved in embedding NRICH tasks into their everyday practice were keen to challenge common perceptions of mathematics and of teaching and learning mathematics. In this article,. . . .

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Integrating Rich Tasks - Activity 4.2

Stage: 1 and 2

This professional development activity is designed to help you assess your embedding of rich tasks into the curriculum through evaluating a theme

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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.

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Integrating Rich Tasks - Activity 4.3

Stage: 1 and 2

This professional development activity is designed to help you assess your embedding of rich tasks into the curriculum and, in particular, think about what to do next

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Maths in the Victorian Classroom

Stage: 2 and 3

What was it like to learn maths at school in the Victorian period? We visited the British Schools Museum in Hitchin to find out.

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Teachers Using NRICH 1

Stage: 3 and 4

Peter Hall was one of four NRICH Teacher Fellows who worked on embedding NRICH materials into their teaching. In this article, he writes about his experiences of working with students at Key. . . .

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Teachers' Guide to Getting Started

Stage: 3, 4 and 5

This gives a standard set of questions and tips for running rich tasks in the classroom.

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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.

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Using Rich Tasks for the First Time

Stage: 2, 3, 4 and 5

The teachers involved in the Engaging Mathematics Projectwanted to embed rich tasks from the NRICH website into their curriculum for all KS3 and KS4 students. In this article, the teachers share. . . .

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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.

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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.

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Rich Mathematical Tasks

Stage: 1 and 2

Liz Woodham describes a project with four primary/first schools in the East of England, focusing on rich mathematical tasks and funded by the NCETM.

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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.

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Understanding 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. . . .

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What Are Rich Tasks?

Stage: 3, 4 and 5

What are rich tasks and why do they matter? Read this extract from an article by Jenny Piggott to find out.

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Haringey 2014-2015

Stage: 1 and 2 Challenge Level: Challenge Level:1

Find out about the five-term project (January 2014 to July 2015) which NRICH is leading in conjunction with Haringey Council.

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Placing Our Trust in Learners

Stage: 1, 2 and 3

In this article Liz Woodham reflects on just how much we really listen to learners’ own questions to determine the mathematical path of lessons.

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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.

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Trick or Treat?

Stage: 3, 4 and 5

Jennifer Piggott and Steve Hewson write about an area of teaching and learning mathematics that has been engaging their interest recently. As they explain, the word ‘trick’ can be applied to. . . .

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Assessing Pupil Progress (APP) and NRICH Resources

Stage: 1, 2, 3, 4 and 5

In this article Jenny talks about Assessing Pupils' Progress and the use of NRICH problems.

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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

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Blog It

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

Members of the NRICH team are beginning to write blogs and this very short article is designed to put the reasoning behind this move in context.

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Developing Good Team-working Skills

Stage: 1, 2, 3, 4 and 5

Group work depends on effective team work. This article describes attributes of effective team work and links to "Team Building" problems that can be used to develop learners' team working skills.

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Choosing Rich Tasks for Secondary Classes

Stage: 3 and 4

In this article, read about the thinking behind the September 2010 secondary problems and why we hope they will be an excellent selection for a new academic year.

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Two Classes Working on Counting Cogs

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

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

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Using Rich Tasks in an Objective Led Culture

Stage: 2, 3 and 4

As teachers, we appreciate the need to have clear objectives at the start of lessons but have been aware of the limitations this sometimes seems to place on our ability to get the most out of using. . . .

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Teacher Inspiration Days

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

Three free teacher Inspiration Days in Cambridge. Three professional development days available for Secondary Teachers.

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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.

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Integrating Rich Tasks - Activity 1.1

Stage: 1 and 2

This is activity 1.1 in the series of activities designed to support professional development through integrating rich tasks. This activity looks specifically at what makes an activity "rich".

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Integrating Rich Tasks - Activity 1.2

Stage: 1 and 2

These two tasks are designed to support professional development on integrating rich tasks. You are asked to think about what problems that encourage Higher Order Thinking Skills look like.

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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. . . .

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Roasting Old Chestnuts

Stage: 3 and 4

Mainly for teachers. A discussion and examples of some of the school mathematics of yesteryear.

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A Maths Afternoon

Stage: 1 and 2

This article describes no ordinary maths lesson. There were 24 children, mostly Years 3 and 4, and there were 17 adults working with them - mothers, fathers, one grandmother and two grandfathers, a. . . .

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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.

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Bloom's Taxonomy

Stage: 1, 2, 3 and 4

Bloom's taxonomy

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Enriching Patterns

Stage: 1, 2, 3 and 4

Following on from a workshop at an MA Easter conference, Jennifer and Jenni talked about the way in which the website is made more accessible to teachers who want to plan threads of. . . .

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What's Inside/outside/under the Box?

Stage: 2 and 3

This article describes investigations that offer opportunities for children to think differently, and pose their own questions, about shapes.

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Crossing Bridges

Stage: 1, 2, 3, 4 and 5

An article for teachers based on a lecture and workshop activities at the NZAMT conference in New Zealand 2007

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Using Games in the Classroom

Stage: 2, 3 and 4

Gillian Hatch analyses what goes on when mathematical games are used as a pedagogic device.