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Broad Topics > Mathematics Education and Research > Pedagogy

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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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The Development of Spatial and Geometric Thinking: 5 to 18

Stage: 1, 2, 3 and 4

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the. . . .

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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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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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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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A Japanese Mathematics Lesson

Stage: 1, 2 and 3

Jenni Way describes her visit to a Japanese mathematics classroom.

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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 4.2

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 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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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.

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Meaningful Maths Trails

Stage: 1 and 2

Avril Crack describes how she went about planning and setting up a Maths trail for pupils in Bedfordshire.

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Stacks of Maths!

Stage: 1, 2 and 3

In this article for teachers, Bernard gives an example of taking an initial activity and getting questions going that lead to other explorations.

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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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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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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.

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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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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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Encouraging Primary Children to Work Systematically

Stage: Early years, 1 and 2

This article for primary teachers suggests ways in which to help children become better at working systematically.

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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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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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Learning Mathematics Through Games Series: 1. Why Games?

Stage: 1, 2 and 3

This article supplies teachers with information that may be useful in better understanding the nature of games and their role in teaching and learning mathematics.

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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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Going for Games

Stage: 1 and 2

In this article for teachers, Liz Woodham describes the criteria she uses to choose mathematical games for the classroom and shares some examples from NRICH.

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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 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 Games in the Classroom

Stage: 2, 3 and 4

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

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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 1.3

Stage: 1 and 2

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

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Learning Mathematics Through Games Series: 2.types of Games

Stage: 1, 2 and 3

This article, the second in the series, looks at some different types of games and the sort of mathematical thinking they can develop.

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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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Angle Measurement: an Opportunity for Equity

Stage: 3 and 4

Suggestions for worthwhile mathematical activity on the subject of angle measurement for all pupils.

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Integrating Rich Tasks - Activity 4.1

Stage: 1 and 2

This professional development activity is designed to help you assess your embedding of rich tasks into the curriculum through peer observation

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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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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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Bloom's Taxonomy

Stage: 1, 2, 3 and 4

Bloom's taxonomy

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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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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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More Old Chestnuts

Stage: 3 and 4

Mainly for teachers. More school mathematics of yesteryear.

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Dominant Intelligences

Stage: 1, 2, 3 and 4

The second in a series, this article looks at the possible opportunities for children who operate from different intelligences to be involved in "typical" maths problems.

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Outside the Box

Stage: 2 and 3

This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.

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Kingsfield School - Building on Rich Starting Points

Stage: 1, 2, 3, 4 and 5

Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.

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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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Enriching Classrooms, Inspiring Learning

Stage: 3 and 4

Teachers who participated in an NRICH workshop produced some posters suggesting how they might use a tessellation interactivity in a range of situations.

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Complex Instruction - Raising Achievement Through Group Worthy Tasks

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

Many NRICH tasks have been designed with group work in mind. Read about Jo Boaler's research on the benefits of collaborative work and watch a clip of a teacher working in this way.

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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.

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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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Working with Highly Able Mathematicians - Secondary

Stage: 3, 4 and 5

Activities and material for teachers.

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Closing the Learning and Teaching Gap

Stage: 1, 2, 3 and 4

This article discusses the findings of the 1995 TIMMS study how to use this information to close the performance gap that exists between nations.

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Interacting with the Geometry of the Circle

Stage: 1, 2, 3 and 4

Jennifer Piggott and Charlie Gilderdale describe a free interactive circular geoboard environment that can lead learners to pose mathematical questions.