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…

This paper discusses some findings of research studies developed in Italy on the approach to theoretical knowledge. Two examples are discussed in detail: (1) a classroom discussion concerning the shift from an empirical to a theoretical compass in primary school (fifth grade); and (2) the scheme of a teaching experiment on overcoming conceptual…

Based on the assumption that each student learns in a unique way, this paper outlines the factors to be considered before selecting the methods of instruction for particular mathematics courses and their students. The advantages and disadvantages of the lecture/textbook and question/answer method, individualized instruction, self-pacing,…