As part of my Maths study I'm thinking about "Richer tasks":
- must be accessible to everyone at the start;
- needs to allow further challenges and be extendible;
- should invite children to make decisions;
- should involve children in speculating, hypothesis making and testing, proving or explaining, reflecting, interpreting;
- should not restrict pupils from searching in other directions;
- should promote discussion and communication;
- should encourage originality/invention;
- should encourage ‘what if’ and ‘what if not’ questions;
- should have an element of surprise;
- should be enjoyable.
Ahmed, 1987, p. 20.Better Mathematics, London, HMSO
Wouldn't it be great to have a bank of there? NRICH is a good start.
The task centre kit site here seems another creative option for fun and inspiring maths challenges.