There are four key reasons for our interest in probability. First, we wondered whether the
teaching and learning of probability took sufficient account of children's prior knowledge of …

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 …

To define better techniques of mathematics education, this book combines a knowledge of
cognitive science with mathematics curriculum theory and research. The concept of the …

Mathematical creativity ensures the growth of mathematics as a whole. However, the source
of this growth, the creativity of the mathematician, is a relatively unexplored area in …

Mathematical creativity ensures the growth of mathematics as a whole. However the source
of this growth, the creativity of the mathematician is a relatively unexplored area in …

This article is situated in the research domain that investigates what mathematical
knowledge is useful for, and usable in, mathematics teaching. Specifically, the article …

Combinatorial topics have become increasingly prevalent in K-12 and undergraduate
curricula, yet research on combinatorics education indicates that students face difficulties …

The study investigated the strategies that 7-to 12-year-old children spontaneously apply to
the solution of novel combinatorial problems. The children were individually administered a …

Combinatorics is one of the oldest branches of discrete mathematics, dating back to the 1
6~~ century when games of chance played a key role in society life (Abramovich & Pieper …

We focus on a major difficulty in solving combinatorial problems, namely, on the verification
of a solution. Our study aimed at identifying undergraduate students' tendencies to verify …