Here’s a page from a forthcoming pamphlet I’m working on about the geometric truths that underlie – and led to the development of – all our layout tools, including (and ending up at) the sector. If you have kids around the house, you might find it interesting (maybe even enlightening) to put the sector into their hands to show them how they can physically (by hand and eye) manipulate a tool to illustrate the basic intuitive concept of the fraction.
As you’ll see when I get the pamphlet done, you can use every one of your layout tools to illustrate – that is, to perform – the reality behind the geometric math they are being injected with at school.
If you don’t have a sector, you can download (for free) a template to make one from the “shop” page at By Hand & Eye. Click here to visit that page. There you’ll find a manual for using a three-scale sector on the page as well…for a small fee to help George and I keep the lights on and the electrons flowing.
— Jim Tolpin, byhandandeye.com