I like playing battleship, and I would like to teach my nieces to play. What's a good, simple strategy to teach someone new to Battleship? In my particular case they are 8-12.
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Teach them two things:
By doing that, no matter where a ship is hit, there are at least two adjacent places to target that will be misses.
Children less familiar with spatial concepts might take longer to place their ships, but there's also a lot of flexibility given those rules, so one niece could put all her ships facing the same direction while another one could have them alternating back and forth across the board.
It may be useful to remember that there is a difference between teaching the game itself and teaching the game as you or someone else might play it. There will be time to teach them more specific strategies later if they become interested in the game and also show interest in strategic thinking; with this in mind, pay attention to how they respond to what you teach. If one niece doesn't seem interested in planning, let her put her ships where she likes. If another one questions you right away as you explain how to set up your ships – "But if I do that, you'll know what I'm doing!" – then you could probably go straight into more advanced techniques with her.
I use Battleships as a teaching tool in my English Foreign Language classes, so I've developed a simple way to teach the game to my teenage students. I'd recommend breaking the game into steps, something like this:
By playing they will learn to develop their own strategies, which will make it more enjoyable to them. Don't teach them strategies, because they'll be less likely to want to play more often. They'll be watching you, so that will inform their decisions in future games.
In terms of finding ships, instead of placing them, try teaching the concept of sub-dividing spaces, diagonally. Start with a simple X shape on the board, then proceed to making other angular lines within the shapes. You can use the trick of "try to place a ship inside this pattern and see how hard it is" to prove the point.