Resources tagged with: Mathematical Thinking

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There are 32 results

Broad Topics > Mathematics Education and Research > Mathematical Thinking

Developing Logical Thinking: the Place of Strategy Games

Age 5 to 11

This article outlines how strategy games can help children develop logical thinking, using examples from the NRICH website.

Going for Games

Age 5 to 11

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.

Encouraging Primary Children to Work Systematically

Age 3 to 11

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

Numbers and Notation - Ambiguities and Confusions

Age 5 to 7

While musing about the difficulties children face in comprehending number structure, notation, etc., it occured to the author that there is a vast array of occasions when numbers and signs are used. . . .

Pattern Sniffing

Age 5 to 11

This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.

Journeys on the Gattegno Tens Chart

Age 5 to 11

Alf describes how the Gattegno chart helped a class of 7-9 year olds gain an awareness of place value and of the inverse relationship between multiplication and division.

Reasoning: the Journey from Novice to Expert (article)

Age 5 to 11

This article for primary teachers suggests ways in which we can help learners move from being novice reasoners to expert reasoners.

Children's Mathematical Graphics: Understanding the Key Concept

Age 5 to 7

In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.

Reasoning: Identifying Opportunities (article)

Age 5 to 11

In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.

Early Fraction Development

Age 5 to 11

An article describing activities which will help develop young children's concept of fractions.

I've Submitted a Solution - What Next?

Age 5 to 18

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

Activities on the Gattegno Chart

Age 5 to 11

In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

Breaking the Equation ' Empirical Argument = Proof '

Age 7 to 18

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.

Teaching Fractions with Understanding: Part-whole Concept

Age 5 to 14

Written for teachers, this article describes four basic approaches children use in understanding fractions as equal parts of a whole.

Money Problems?

Age 5 to 7

Marion Bond investigates the skills needed in order for children to understand money.

Logic, and How it Should Influence Our Teaching

Age 5 to 16

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. . . .

Path of Discovery Series: 1. Uncertain Beginnings

Age 5 to 7

Marion Bond suggests that we try to imagine mathematical knowledge as a broad crazy paving rather than a path of stepping stones. There is no one right place to start and there is no one right route. . . .

Number Sense Series: Developing Early Number Sense

Age 5 to 7

This article for teachers suggests teaching strategies and resources that can help to develop children's number sense.

Using Questioning to Stimulate Mathematical Thinking

Age 5 to 14

Good questioning techniques have long being regarded as a fundamental tool of effective teachers. This article for teachers looks at different categories of questions that can promote mathematical. . . .

Maths and Creativity in Bristol

Age 5 to 11

This article for teachers describes NRICH's work from 2010 to 2011 with Creative Partnerships and three Bristol primary schools.

A New Challenge

Age 5 to 11

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

Age 5 to 11

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. . . .

Creating a Low Threshold High Ceiling Classroom

Age 5 to 18

This article explores the key features of a Low Threshold High Ceiling classroom.

Working with Higher Attaining Mathematicians

Age 5 to 11

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

Devon Teachers Enriching NRICH - Part 2

Age 5 to 11

This is the second part of an article describing the ‘Enriching Mathematics’ project in Devon in 2008-9. The participating teachers describe NRICH activities they have tried with their learners.

Kingsfield School - Building on Rich Starting Points

Age 5 to 18

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.

Engaging Students, Developing Confidence, Promoting Independence

Age 5 to 18

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

What Is a Mathematically Rich Task?

Age 5 to 18

Here we describe the essence of a 'rich' mathematical task

Integrating Rich Tasks - Activity 1.5

Age 5 to 11

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

Co-operative Problem Solving: Pieces of the Puzzle Approach

Age 5 to 16

The content of this article is largely drawn from an Australian publication by Peter Gould that has been a source of many successful mathematics lessons for both children and student-teachers. It. . . .

Thinking about Different Ways of Thinking

Age 5 to 16

This article, the first in a series, discusses mathematical-logical intelligence as described by Howard Gardner.

Using National Young Mathematicians' Award Tasks to Develop Problem-solving and Group-working Skills

Age 7 to 11

This article for primary teachers uses National Young Mathematicians' Award tasks as contexts in which to develop learners' problem-solving and group-working skills.