In this article, we explored learners' conceptual understanding of coordinates and transformation geometry through concept mapping. A qualitative case study was employed in this study, and data was collected using an investigative task, observation and reflective interviews on a sample of 34 Grade 12 mathematics learners. The study was guided by…

Over the past two decades, researchers in mathematics teacher education have identified characteristics of high quality professional development (PD). This report describes an investigation of a common approach to PD with secondary mathematics teachers, providing teachers with opportunities to experience reform-oriented model lessons as students…

This study compared conversations among groups of teachers of high school geometry that had been elicited by a representation of instruction (either a video or an animation) and facilitated with an open-ended agenda. All artifacts used represented instruction scenarios that departed from what, according to prior work, had been hypothesized as…

Concerned by the need to decolonize education for Aboriginal students, the authors explore philosophies of Indigenous ways of knowing and those of the 21st century learning movement. In their efforts to propose a way forward with Aboriginal education, the authors inquire into harmonies between Aboriginal knowledges and tenets of 21st century…

A number of different solutions are presented and discussed for the problem of constructing a unit segment given the length of the square root of X. (DT)

This article suggests using mathematical terms (rationals, integers, naturals) to designate ability groups of students in a class. (MM)

Results of using platonic solids for probability experiments are presented. (JG)

This paper discusses methods of sketching various types of algebraic functions from an analysis of the portions of the plane where the curve will be found and where it will not be found. The discussion is limited to rational functions. Methods and techniques presented are applicable to the secondary mathematics curriculum from algebra through…

The usual Euclidean metric definition is modified; new figures and measures are defined and analyzed using this different distance function. (DT)