Yes, Off course the examples, puzzles and histories of mathematics makes a lot difference in their learning. Our classrooms are diverse, through these puzzles students get to know each others culture, like what kind of problems are there in different cultures. These puzzles also make maths interesting for students as they get something new every time instead of same type of boring mathematical questions. Also through the histories of mathematics, they get the knowledge how mathematics was developed in different civilizations. They understand the contribution of different nations to the mathematics. It creates the sense of equality in them.
2) Whether the world problem/puzzle story matters or make a difference to our enjoyment of solving it.
Puzzles provide knowledge as well as enjoyment to students. Puzzles offer challenges to our brain in a very enjoyable way. We usually get bored with same type of problems in mathematics, but puzzles create twist in simple problems and add flavour to simple questions. The questions asked in puzzles create curiosity in listener's mind to solve it. Our mind starts working fast to find the solution, and we feel relaxed after solving the puzzle.

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