Proving and refuting are fundamental aspects of mathematical practice that are intertwined
in mathematical activity in which conjectures and proofs are often produced and improved …

The teacher's argumentation is considered essential to promote the student's mathematical
education; the teacher's argumentation is linked to the teacher's didactic-mathematical …

Logical structures count as critical learning content for learning to prove. They are often not
sufficiently explicated, and students struggle to use and articulate them in their proofs. In this …

This article addresses how to distinguish mathematical arguments created during whole
class discussions in grades 3–5 in Sweden, while taking a broad range of communicational …

This study illustrates how two secondary mathematics teachers used students' incorrect
answers as they supported students' engagement in collective argumentation. Three ways of …

The purpose of this research is to promote the construction of mathematical proof from
argumentation at the primary level. To show this is a viable instructional strategy at the …

Se describen procesos de argumentación con énfasis en los argumentos analógicos,
surgidos cuando un grupo de estudiantes aborda un problema que puede ser resuelto tanto …

Interest in research on mathematical argumentation is increasing, leading to growth in the
field. However, empirical research on mathematical argumentation in higher education …

Proving processes in mathematics classrooms follow their own peculiar rationale, which
raises the question of how to reconstruct and analyse the complex argumentative structures …

The study aims to explore the structural aspects of generic examples, to get better insight
into what makes them potentially opaque for learners. We have analyzed 27 written …