This project seeks to understand the emergence of mathematical meanings mediated by learners' interactions with multiple artifacts. Extending our prior work which took an enactivist approach and revealed the dynamics of embodied interactions fundamental to understanding fraction division, we now employ a semiotic lens to illuminate how learners…

The present study investigated the effectiveness of a cognitive enrichment programme as a tool for enhancing the chances of immigrant and minority students to be admitted to a technological college. Students received two weekly sessions (four hours) of "Instrumental Enrichment" (IE) during the second semester of the college preparatory…

Outreach and engagement that connects the Patton College at Ohio University with P-12 schools has been a strong tradition in the Southeastern Ohio/Appalachian region. In the mid-1980s, a partnership aligned with the Coalition of Essential Schools and 9 "Common Principles"' was one of the first. Alignment with 19 "Postulates" of…

A deep conceptual understanding of elementary mathematics as appropriate for teaching is increasingly thought to be an important aspect of elementary teacher capacity. This study explores preservice teachers' initial mathematical understandings and how these understandings developed during a mathematics methods course for upper elementary…

The role of mentor development in implementing an out-of-school math and science Saturday program for middle-school girls is examined, using content analyses performed on journal entries that four college and graduate school-level mentors completed during the second year of the pilot program. Findings suggest that mentors matured and changed from…

This paper examines how Lesson Study (Lewis, 2002) was used in an elementary mathematics methods course held at a Professional Development School and intended to support pre-service teachers to become reflective practitioners while working alongside clinical faculty. Attention is given to detailing the features of Lesson Study that situates the…

The well-planned writing workshop is an effective tool for expanding the mathematical discourse of students and helping them become more skillful writers in the discipline. This article reviews a step-by-step process for conducting a workshop and details different reader response strategies. It also offers suggestions for various types of…

An event based on "find the rule" problems has been part of the University of Canberra Maths Day since 1985. In this paper, the authors describe the Swiss event, its context, its aims, its logistics, and gives examples of problems used in past events. The type of problems used, how they are used in an event at the maths day, and how the…

Challenging problems can make mathematics more attractive to all learners, including the gifted. Application problems that one still finds in regular textbooks often can be resolved by applying a single mathematical concept, operation, or formula. These problems do not require a higher order of thinking. They are, therefore, less cognitively and…