For professional learning to "stick," teachers need to connect what they learn to their practice--and particularly to their work with their current students. The authors describe a PD program they've developed for math teachers with emergent multilingual students (English language learners) in their classes. Teachers choose "focus…

The use of threshold concepts to define key points of curricula is a relatively recent development in educational research. Threshold concepts represent crucial stages of learning, the acquisition of which enables learners to progress from one level of achievement to another. In this context, the learner is described as passing through an…

This study examined how participation in an inquiry-based workshop on assessing course syllabi for equity-mindedness and cultural inclusivity fostered community college math faculty learning about racial/ethnic equity and equity-mindedness. Findings show that the workshop prompted reflection on what equity means and how participants' teaching…

Algebraic reasoning is an essential habit of mind for building conceptual knowledge in K-12 mathematics, yet little is known about how middle school mathematics teachers think about algebraic reasoning. In this article we describe a research project examining how algebraic reasoning was considered by grades 6, 7, or 8 mathematics teachers in a…

As a result of the increased focus on data literacy and data science across the world, there has been a large demand for professional development in statistics. However, exactly how these professional development opportunities should be structured remains an open question. The purpose of this paper is to describe the first iteration of a design…

Higher education institutions are developing more and more online courses to supplement and augment the courses they offer in on-campus modes. In fact, some universities now offer the majority of their courses through online contexts. However, for academic staff who design and teach these courses, the transition from teaching on-campus courses to…

In order to study the conceptions, and their evolutions, of the tangent line to a curve an updating workshop which took place in Mexico was designed for upper secondary school teachers. This workshop was planned using the methodology of cooperative learning, scientific debate and auto reflection (ACODESA) and the conception-knowing-concept model…

In this paper we report on research we conducted to begin the process of identifying threshold concepts in the field of postsecondary teaching. Meyer & Land (2006) propose that within all disciplinary fields there seem to be particular "threshold concepts" that serve as gateways, opening up new and previously inaccessible ways of…