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Resources tagged with Mathematical Thinking similar to Working with Highly Able Mathematicians - Secondary:

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Broad Topics > Mathematics Education and Research > Mathematical Thinking

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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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Thinking about Different Ways of Thinking

Stage: 1, 2, 3 and 4

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

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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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Using Low Threshold High Ceiling Tasks in Ordinary Classrooms

Stage: 1, 2, 3, 4 and 5

An article describing what LTHC tasks are, and why we think they're a good idea.

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What Is a Mathematically Rich Task?

Stage: 1, 2, 3, 4 and 5

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

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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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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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Co-operative Problem Solving: Pieces of the Puzzle Approach

Stage: 1, 2, 3 and 4

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. . . .

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Euclid? No, but Carol, Yes

Stage: 4

For teachers. About the teaching of geometry with some examples from school geometry of long ago.

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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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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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Using Questioning to Stimulate Mathematical Thinking

Stage: 1, 2 and 3

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. . . .

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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.

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Teaching Fractions with Understanding: Part-whole Concept

Stage: 1, 2 and 3

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

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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.