article
Geometry and gravity 1
This article (the first of two) contains ideas for investigations.
Space-time, the curvature of space and topology are introduced with
some fascinating problems to explore.
2D representations of 3D shapes
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articleThinking 3D
How can we as teachers begin to introduce 3D ideas to young children? Where do they start? How can we lay the foundations for a later enthusiasm for working in three dimensions?
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articleThe development of spatial and geometric thinking: 5 to 18
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 work of Piaget and Inhelder. -
articleThe development of spatial and geometric thinking: co-ordinating space in drawings
This second article in the series refers to research about levels of development of spatial thinking and the possible influence of instruction. -
articleEuler's formula
Some simple ideas about graph theory with a discussion of a proof of Euler's formula relating the numbers of vertces, edges and faces of a graph. -
articlePupils' recording or pupils recording
This article, written for teachers, looks at the different kinds of recordings encountered in Primary Mathematics lessons and the importance of not jumping to conclusions! -
articleShaping the universe I - planet Earth
This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.
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articleShaping the universe II - the solar system
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
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article3D drawing
The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.
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problemChristmas boxes
Age11 to 14Challenge level
Find all the ways to cut out a 'net' of six squares that can be folded into a cube.