This study suggests a comprehensive conceptualization of teacher knowledge for teaching early literacy in primary schools. Following the discourse on the professional knowledge of teachers, we argue that teachers' knowledge relevant to support reading and writing at the beginning of primary school education is multidimensional by nature: Teachers…

This article discusses how two beginning mathematics teachers mobilize and develop their didactics knowledge, specifically concerning knowledge of statistical content and teaching practice, during a teacher education experience. This work was developed as part of a specialization course for elementary school mathematics teachers, in the subjects…

Braille readers use a braille display and text-to-speech synthesizer while reading and comprehending mathematical expressions and equations. Teachers need to have technological, pedagogical and content (TPACK) knowledge and skills for exploiting the potential of these devices in mathematics education. They have to understand how the use of…

Using the example of the 1937 Ontario elementary school reforms, this article will make the case for considering pedagogical knowledge as a distinct object in the history of education. In this context, pedagogical knowledge refers to the conceptual and normative aspects of teaching and learning that seek to inform the decision-making of the…

This paper presents the "Mathematics Teacher's Specialised Knowledge" (MTSK) model. It acknowledges earlier contributions to understanding and structuring teachers' knowledge, in particular, the special debt owed to Shulman's notion of "pedagogical content knowledge" and to Ball and collaborators' "Mathematical Knowledge…

Learning in higher education is often perceived from the standpoint of the students, yet faculty are also learners. To investigate what faculty learn from their interactions with students, the authors analyzed interview data from 40 early post-tenure faculty and learned that (1) faculty approach subject matter differently than students and (2) the…

Teachers are increasingly being called upon to teach in ways that develop 21st century learning skills in their students. Various frameworks for 21st century learning have been proposed and while they differ, all agree on four components for development--creativity, collaboration, communication and critical thinking. Both individually and…

Lesson study is a form of professional development where a group of teachers identifies a problem of practice on which they would like to make progress in their teaching. Over an extended period of time, the teachers study the topic and plan a lesson together. One member then teaches the lesson while the others observe; the group reflects…

It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing…

These Proceedings are a written record of the research presented at the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Greenville, South Carolina, November 15-18, 2018. The theme of the conference is "Looking Back, Looking Ahead: Celebrating 40…

The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…

Although the importance of mathematical problem solving is now widely recognised, relatively little attention has been given to the conceptualisation of mathematical processes such as representing, analysing, interpreting and communicating. The construct of Mathematical Knowledge for Teaching (Hill, Ball & Schilling, 2008) is generally…

The field of professional development is moving towards the notion of professional learning, highlighting the active learning role that teachers play in changing their knowledge bases, beliefs and practice. This article builds on this idea and argues for creating professional learning that is guided by a collaborative action research (CAR)…

The purpose of this paper is to engage with the complexities of describing teachers' professional knowledge and eventually also their learning through written tests. The bigger research aim is to describe what knowledge foundation phase teachers acquired during their two years of study towards the Advanced Certificate of Teaching (ACT). We…

The theme of this year's conference is "Sin Fronteras: Questioning Borders with(in) Mathematics Education." This theme is intended to encourage research presentations, discussion, and reflection on the variety of borders within mathematics education, as well as those that might be probed, challenged, explained, enhanced and/or…