This set of transparencies shows how the manipulation of combinatorial structures in the context of modern combinatorics can easily lead to interesting teaching and learning activities at every level of education from elementary school to university. The transparencies describe: (1) the importance and relations of combinatorics to science and social activities; (2) how analytic/algebraic combinatorics is similar to analytic/algebraic geometry; (3) basic combinatorial structures with terminology; (4) species of structures; (5) power series associated with any species of structures; (6) similarity of operations between power series and the corresponding species of structures; (7) examples illustrating where the structures are manipulated; and (8) general teaching/learning activities. (KHR)