As mathematics educators we want our students to develop a natural curiosity that will lead them on the path toward solving problems in a changing world, in fields that perhaps do not even exist today. Here we present student projects, adaptable for several mid- and upper-level mathematics courses, that require students to formulate their own…

This paper introduces the Mathematics Dialogic Gatherings (MDG) as a successful way to encourage adults' learning of mathematics. We report on a group of adults who attended a MDG in an adult school placed in Barcelona. Participants in this group do not have an academic trajectory. They attend once a week a session in the adult school, where they…

In this article, the authors present two activities in which students explore angles and related geometric properties in the context of dance, namely ballet. The activities have been successfully implemented in pre-service numeracy classes at Monash University's two-year, post-degree teacher education program (MTeach). Specifically, the activities…

Personal experiences promoting inclusive mathematics education for my own child have mostly been met with staunch resistance on the part of educators, and a resulting breakdown in collaborative efforts during individualized education program (IEP) meetings. However, I found that utilizing certain strategies and introducing innovative mathematics…

In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. These concepts are introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was motivated after observing students' difficulties when treating…

Although statistics and research are key components of social work education, students are often described as reluctant consumers and users of statistics. Self-efficacy theory has been used to understand students' engagement with the statistical knowledge needed for practice. This quantitative study explores the relationship between self-efficacy,…

Specific acts of problem solving with rates and ratios were interpreted using a journey metaphor derived from Skemp's (1979) construct of director systems. To successfully undertake a problem solving journey a learner must recognise their starting place (present state), have a sense of destination (goal state), and co-ordinate sub-routes along the…

This article discusses the concepts of "key ideas" and "memorability" and how they relate to the metric "width of a proof" put forward by the Fields medalist Timothy Gowers (2007) in a recent essay entitled "Mathematics, memory and mental arithmetic". The paper looks at the meaning of these concepts and…

Cross-curricula opportunities afforded by STEM education (Science, Technology, Engineering and Mathematics education), supports an environment where students can develop twenty-first century competencies. One approach to addressing cross-curricula opportunities in STEM education is the introduction of computer science (computer…

Research into the importance of teachers' use of verbal language in multilingual classes where teaching and learning is done in a language other than the learners' first, is crucial. Such research aimed at improving multilingual learners' access to conceptual understanding of mathematical concepts is becoming increasingly urgent. In this paper, we…

A growing body of research suggests that the effects of core mathematics instruction on student mathematics outcomes may not be uniform across different skill levels in mathematics. This study investigated the extent to which observed components of explicit mathematics instruction explained why students' initial mathematics achievement was…

We describe a statistical seminar designed to provide a common foundation in core statistical concepts among all students as they enter a social work PhD program. Student feedback surveys assessed students' statistics preparation prior to entering the program, and pre- and posttests were compared for increases in statistical knowledge. Nearly half…

The purpose of this research is to determine the expectation of pre-service primary teachers for teaching of mathematics book. The study was conducted with 41 pre-service teachers. The research was defined as a case study from descriptive qualitative research designs. Pre-service teachers were asked about the qualities they thought of a book of…

Micro-scaffolding is an important "local" phenomenon on a micro-scale of teacher-student-interactions. However, the idea of supporting students to move forward in their zones of proximal developments requires a sound "global" conceptualization of the intended learning trajectories. This article focuses on the trajectories…

Practical problems that use mathematical concepts are among the highlights of any mathematics class, for better and for worse. Teachers are thrilled to show applications of new theoretical ideas, whereas most students dread "word problems." This article presents a sequence of three activities designed to get students to think about…