The concept of proof is central to meaningful learning of mathematics, but is hard for
students to learn. A serious misconception dominant amongst students at all levels of …

The way words are used in natural language can influence how the same words are
understood by students in formal educational contexts. Here we argue that this so-called …

Meaning and importance of proof in mathematics and education increases gradually.
Therefore levels of doing proof, proof-related opinions and perceptions of the teachers and …

This paper reports on a comparative study of the mathematics-related beliefs of students in
England, Slovakia and Spain. We draw on earlier work of the fourth author and his …

Current school curriculum documents require that justification and proof become a
significant part of the mathematics classroom culture. In order to determine how well …

This paper describes how 11-13 year-old students justify the equivalence or
nonequivalence of models and rules for figural linear patterns constructed in a specially …

Kanıtlar, matematikte her durumun doğruluğunu veya yanlışlığını sağlamaktadır. Bu nedenle
bu çalışmanın amacı, ilköğretim matematik öğretmeni adaylarının matematiksel kanıt …

Despite importance of teaching proof in any undergraduate mathematics program, many
students have difficulties with proof (Dreyfus, 1999; Harel & Sowder, 2003; Selden & Selden …

The aim of this study is to investigate elementary pre-service mathematics teachers'
perspectives on proof in mathematics and mathematics teaching. A 5-point Likert-type …

In this paper I illustrate the process of designing a problem which can be repeatedly used by
teachers in different mathematical courses and at various levels of complexity. The same …