I would appreciate any recommendation on these games and puzzles with maple implementation. The purpose is to inspire the math interest of children (say 16-) . Benefits from the assistance of Maple:
1. Learn and build the habit of math modelling: eg by playing with this n-queen problem - https://www.maplesoft.com/Applications/Detail.aspx?id=154482
Children can realize that, for many problems, modelling is doable for them - question formation in math/programming and finding all the constraints - while solution method is simply a small step if done by computer. This is already a big step forward for them and they may enjoy the modelling process. For more math-eager kids, they may start to explore the documentation behind the solution methods.
2. Learn the art of automatic proof by witnessing the efficiency gain by themselves - I don't think I have to explain such to the community here. I note Doron Zeilberger has collected many in such a spirit on his website.
I have read some in the Application Center (eg under the tag game) and by searching here by the "puzzle". Is there some more systematic collection/books? The applications I have seen is mostly on logical/combinatorial problems. Love to see the games/puzzles under a broader range of math fields good for children.