Abstract Current developments in Artificial Intelligence (AI) led to a resurgence of
Explainable AI (XAI). New methods are being researched to obtain information from AI …

Current reform efforts in the United States arecalling for substantial changes in the
natureand role of proof in secondary schoolmathematics–changes designed to provide all …

This article deals with 12th-grade students' conceptions of a mathematical definition. Their
conceptions of a definition were revealed through individual and group activities in which …

BACKGROUND There is evidence from earliest historical records that examples play a
central role in both the development of mathematics as a discipline and in the teaching of …

The paper is a reflective account of the design and implementation of mathematical tasks
that evoke uncertainty for the learner. Three types of uncertainty associated with …

The main goal of the study reported in our paper is to characterize teachers' choice of
examples in and for the mathematics classroom. Our data is based on 54 lesson …

Amongst Mathematicians offers a unique perspective on the ways in which mathematicians
perceive their students' learning, teach and reflect on their teaching practice; also on how …

In this paper we describe two episodes of instructional interaction, in which examples are
used in order to help students face their misconceptions. We introduce the notions of pivotal …

As automated machine learning (AutoML) systems continue to progress in both
sophistication and performance, it becomes important to understand thehow'andwhy'of …

A qualitative study documented the use of examples in connection with reflection-for-action
by mathematics educators. This article focuses on the use of mathematical examples that …