In this paper, we provide an overall perspective on the teaching and learning of discrete
mathematics. Our aim is to highlight what research has been conducted in this area and to …

In this commentary, we make a case for the explicit inclusion of combinatorial topics in
mathematics curricula, where it is currently essentially absent. We suggest ways in which …

Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing
central roles within teaching and learning in the field of mathematics, particularly in solving …

When solving counting problems, students often struggle with determining what they are
trying to count (and thus what problem type they are trying to solve and, ultimately, what …

In research focused on self-efficacy it is usually teacher-related phenomena that are studied,
while the main aspects related to pupils are rather neglected, although self-efficacy itself is …

Combinatorics is an area of mathematics with accessible, rich problems and applications in
a variety of fields. Combinatorial proof is an important topic within combinatorics that has …

Lockwood has argued that taking a set-oriented perspective is critical for successful
combinatorial enumeration. To date, however, the research literature has not yet captured …

Combinatorial proof serves both as an important topic in combinatorics and as a type of
proof with certain properties and constraints. We report on a teaching experiment in which …

Counting problems offer opportunities for rich mathematical thinking, and yet there is
evidence that students struggle to solve counting problems correctly. There is a need to …

Counting problems are difficult for students to solve, and there is a perennial need to
investigate ways to help students solve counting problems successfully. One promising …