Lesson study, a powerful teacher professional development approach, originating in Asia,
has spread globally. Although the positive effects of lesson study on teacher learning and …

Abstract The Wits Maths Connect Secondary Project, a research-linked professional
development project, included Lesson Study with teachers in school clusters. When two …

Reasoning has been extensively studied by many experts. However, Research on student
reasoning in trigonometric problem solving, particularly those related to logical thinking skills …

Examples can play a productive role in the development of conjectures and proofs, but there
is more to learn about what makes example use productive. The example use of …

Proof plays a central role in developing, establishing and communicating mathematical
knowledge. Nevertheless, it is not such a central element in school mathematics. This article …

Examples can be a powerful tool for students to learn to prove, particularly if used
purposefully and strategically, but there is a pressing need to better understand the nature of …

The papers in this issue provide an excellent example of how pertinent distinctions which
emerge from analysis of significant data sets can be communicated to colleagues and used …

An important goal in school mathematics is for students to develop a comprehensive and
multi-faceted conceptualization of function. Yet studies have found that undergraduate …

In this paper, we explore the role that examples play as mathematicians formulate
conjectures, and we describe and exemplify one particular example-related activity that we …

One pedagogical approach to challenge a persistent misconception is to get students to test
a conjecture whereby they are confronted with the misconception. A common misconception …