3D representation websites

The Freudenthal 'Wisweb' site is also very good for various tasks, especially building solids out of blocks and twirling them around so that you can see a plan and various elevations.

Malcolm Swan's (excellent purple and blue 'standards' box of resources, gathering dust somewhere) disk in the pack includes a programme that does similar things.

Peter Grabarchuk's puzzle site

Peter Grabarchuk's puzzle site is well designed and helpful

the net puzzles are found here and solid visualisation here

cutting shapes into 4 congruent parts is here

fitting pentominoes is here (click the shape to rotate it)

and much more...

free websites I like

These are some of the websites I like. Apologies for missing out some other good ones - I'll collect these together later (for myself at least):

• 'ptolemy' (Alec Mc Eachran) is a fine site ('primitives' being an excellent way to view an image of numbers - with their factor properties); it has links to Mandelbrot (great zooming in to a Mandelbrot set on Vimeo) and a Utah genetics site, for visualising tiny things (and powers of 10)

• 'teacherled' (Spencer Riley) has many excellent and very well presented whiteboard resources, leaving teaching - rightly - up to the teacher. Particularly like (most of it but, at the moment): reptiles (fitting 4 similar shapes together to form an enlarged version); shape exploder (making it easy to count the number of cubes in a cuboidal (invented word) solid); dice (roll up to 3 dice, in space (which could get irritating...)); rotating around a point (I like sliders... and this shows a rotation beautifully)   

• the Primary, national strategy ITPs are good and are easily viewed and used from this index

• the Cymru ngfl site has many good (and some not so good) resources, I particularly like the resources produced by Dr Iestyn Jones (of 'eChalk') for 3D investigation and geometrical transformations and some of the investigative software (e.g. painted cube). The 'geoboard' for Pick's theorem etc is lovely (go to the 'develop' section/tab for DIY shapes).

• NLVM has a really good collection of virtual manipulatives - saves picking pattern blocks up from the floor

• pedagoguery software has poly (1.11) as a download which creates foldable nets of polyhedra

• mathspig (blog) (Kerry Cue) contains a healthy look at maths in the media with applications of maths that are actually interesting (as opposed to functional maths efforts that take some reading and then only evoke yawns)

• Matt Dunbar's 'estarters downloads' is a fantastic use of Excel (how does he do it?) with quite a few free downloads (including fine demonstrations of Pythagoras)

• the 'geometry toolbox' is good for simple constructions

NLVM

(from the fractals iterative programme)

Fill and pour - the 'jugs' problem: given two jugs of various capacities, how can you create a third amount?

How high? - pour liquid from one container to another, how high will it go? Can involve volumes of cuboids.

Could involve volumes of cuboids, cylinders and cones (illustrating that a cone is a third of a surrounding cylinder)




Grapher -set up a general quadratic ax^2 + bx + c and see the effect of changing each parameter (with a slider)

Line plotter -given a point and the gradient of the line, construct and check the line's position.

Platonic solids - what's the minimum numbers of colours needed to colour faces of the platonic solids so that adjacent faces are different colours?