Success and failure in formal mathematics education has been used to legitimize stratification. We describe participatory design research as a methodology for systemic repair. The analysis describes epistemic authority--exercising the right or the power to know--as a form of agency in processes of mathematical problem solving and learning. We…

Teachers and mathematicians hold different perspectives on the teaching and learning of whole number arithmetic. Though these perspectives may be complementary, sharing them across communities is challenging. An unusual professional development course for primary school teachers, initiated and taught by research mathematicians, provided a setting…

Conducted within a Masters in Teaching and Learning, this article details an inquiry which sought to offer meaningful purpose to learning within a fictional frame to engage students in level two mathematics. After considering various ideas for a suitable theme we settled on a pirate adventure. Enticing students with a mysterious treasure map and…

Examples which are used in exploring a procedure or comprehending/concretizing a mathematical concept are powerful teaching tools. Generating examples other than conventional ones is both a means for research and a pedagogical method. The aim of this study is to determine the transition process between example generation strategies, and the…

This paper presents the results of a research, which proposes the introduction of the teaching by Research and Study Paths (RSPs) into Argentinean secondary schools within the frame of the Anthropologic Theory of Didactics (ATD). The paths begin with the study of "Q[subscript 0]: How to operate with any curves knowing only its graphic…

The purpose of the study was to explore how a group of at-risk youth in a South Florida alternative high school experienced a freehand visual arts drawing lesson as a learning portal to the teaching of the basic principles of geometry. These young people were completely devoid of interest in and failed to understand basic geometrical concepts.…

Various educational technologies have been advanced as potential vehicles to transform teaching and learning. Still, research studies have documented that primary school teachers struggle to integrate technology in meaningful ways. This article presents the findings of a year-long study in which the author frequently observed three primary school…

This paper presents the results of an experimental teaching carried out on 12-year-old students. An open-ended task was given to them and they had not been taught the algorithmic process leading to the solution. The formal solution to the problem refers to a system of two linear equations with two unknown quantities. In this mathematical activity,…

Research on the socio-political dimensions of language diversity in mathematics classrooms is under-theorised and largely focuses on language choice. These dimensions are, however, likely to influence mathematics classroom interaction in many other ways than participants' choice of language. To investigate these influences, I propose that the…

Purpose: Universal language can be viewed as a conjectural or antique dialogue that is understood by a great deal, if not all, of the world's population. In this paper, a sound argument is presented that mathematical language exudes characteristics of worldwide understanding. The purpose of this paper is to explore mathematical language as a tool…

Using a Mixed Methods approach, this study investigated changes in levels of self-efficacy among elementary preservice teachers following a semester course on teaching elementary students' mathematics. Participants in this study included 347 preservice elementary teachers at a mid-size regional university who had just completed an elementary…

The aim of this study was to explore the degree to which a professional development (PD) program designed using GeoGebra influences a group of Turkish middle school teachers' beliefs in relation to mathematics and role of GeoGebra in mathematics education. In order to collect the required data, the PD course was established to provide six teachers…

The uptake of technology and specifically, GeoGebra software, in teaching mathematics has had mixed success in spite of its documented benefits. This study investigated teachers' perspective towards training and eventual use of GeoGebra as a tool to enhance learning of mathematics. In this article we share findings from a larger study that was…

This article presents a case study that examines the level of integration of mathematical knowledge in physics problem solving among first grade students of upper secondary school. We explore the ways in which two specific students utilize their knowledge and we attempt to identify the epistemological framings they refer to while solving a physics…

Professional Learning Community (PLC) has steadily grown in importance over the last decade. The growing importance of PLCs lies in its potential to act as a lever for school-based curriculum development and innovation so as to provide diverse learning experiences to satisfy broader learning outcomes beyond academic achievements (e.g., the…