The purpose of this study was to determine if the MathTwitterBlogosphere (MTBoS), an online community of practice, provides opportunities for mathematics educators to learn about the knowledge and conceptions that support the effective use of cognitively demanding tasks, including mathematical knowledge for teaching, visions of high-quality…

The nature of knowledge and how it is developed have been debated in philosophy and research for centuries. In the literature on teachers' knowledge, two perspectives have been particularly visible. One perspective stresses cognitive processes and deliberate knowledge acquisition. Another perspective stresses the situated nature of teachers'…

Within initial teacher education there is increasing pressure to enhance the use of assessment data to support students to improve their knowledge and skills, and to determine what standards they meet upon graduation. For such data to be useful, both programme designers and students require meaningful and comprehensive assessment reports on…

The study investigated preschool teachers' pedagogical content knowledge (PCK) in mathematics. The construct of PCK for teaching mathematics in preschool involves three components: (1) noticing mathematical situations in which children engage; (2) interpreting the nature of children's math activity; and (3) enhancing children's mathematical…

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…

In this paper, we present an emerging set of learning conjectures and design principles to be used in the development of professional learning tasks that support elementary teachers' learning of mathematics learning trajectories. We outline our theoretical perspective on teacher knowledge of learning trajectories, review the literature concerning…

Against a background which recognises pedagogical content knowledge as the distinctive element of teacher competence/expertise, this theoretical essay argues for its central construct--that of transformation--to be understood by teachers and teacher educators in psychological terms (as was originally proposed by Dewey). Transformation requires…

Intense focus on student achievement results in mathematics and science has brought about claims that K-12 teachers should be better prepared to teach basic concepts in these disciplines. The focus on teachers' mathematics and science content knowledge has been met by efforts to increase teacher knowledge through funded national initiatives…

Although teachers' knowledge is thought to contribute to the selection and implementation of mathematical tasks, empirical evidence supporting this claim is scarce. To investigate this relationship and understand its nature, this exploratory study examines the unfolding of tasks in a series of lessons led by 2 elementary school teachers who…

As co-editors of this theme issue of this journal, the authors have accepted that knowledge systems and teacher education programs are deeply interconnected. Further, they claim that teacher education programs must incorporate in theory and practice the fact that knowledge systems are a determining factor in the effectiveness of a teacher…

This paper addresses the question of how to develop prospective teachers' pedagogical content knowledge (PCK) in science teacher education. The main focus is on the knowledge transformation process and on the cognitive strategies used to shift prospective teachers' explanations within the domain of modelling thermal physical phenomena. This study…

Classroom instruction varies among high school academic departments. To understand how instruction in core subjects can differ, an awareness of the two axes that define instruction is required. In this article, the author discuss the two axes, namely, knowledge-versus-skill axis and level of mental engagement axis, that help describe what…

Observations and interviews with preservice elementary teachers examined their beliefs, conceptions, and practices and their views of mathematical and pedagogical content knowledge, noting whether they changed during a mathematics methods course. Results revealed symbiotic relationships between their views of content knowledge and their…

This document contains the fourth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Kun and…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…