In the teaching of math-fact automaticity, most classroom teachers are unaware of research-based practices such as the use of a controlled response time, the scaffolded teaching of individual math facts, the limiting of exposure to new math facts, the separation of math facts with common operands, and even the definition of automaticity. As a…

This paper focuses on the design of tasks that situate teachers in the work of mathematics teaching. We examine a simple, yet fundamental feature of pedagogical content knowledge tasks: the extent to which pedagogical warrants are necessitated by the pedagogical context. We argue that this feature has implications for the design of tasks, as well…

In this paper, we explore theoretical approaches to Japanese teachers' lesson designs involving the adaptation of mathematics textbooks for instructional change. In Japan, although most teachers use textbooks as the main resource for lesson planning, called "kyouzai kenkyuu," the ways in which they use textbooks can differ. In a…

"Out-of-field" teaching refers to the practice of assigning secondary school teachers to teach subjects that do not match their training or education. This practice is an issue of concern in many countries around the world, and seems particularly prevalent in the teaching of mathematics. The aim of this paper is to analyse the design…

When designing an instructional tool and using it in pedagogical activities, it is essential that designers and users understand what pedagogical affordances and constraints the tool provides to support its successful integration into targeted pedagogical activities. Toward this end, we developed "Pedagogical Affordance Analysis (PAA)."…

This analysis and guidelines aim to establish the key issues and considerations in describing the new or modified digital and professional skills TVET teachers require for blended delivery. The accompanying "Digital and Professional Teacher Competency Standards for Blended TVET" presents the draft competency standards. [For the…

Coding and computational thinking have recently become compulsory skills in many school systems globally. Teaching these new skills presents a challenge for many teachers. A notable example of professional development designed using Constructionist principles to address this challenge is "ScratchEd". Upon reflecting on her experiences…

The growing shift toward online learning has brought new expectations for teachers, including skills needed to combine content knowledge with engaging pedagogical strategies that leverage the affordances of technology. As a result, online pedagogy has become increasingly relevant in modern-day schools. The challenge is understanding the nature of…

Sharing teachers' professional knowledge remains challenging. Teachers' development often remains ad hoc or local, and attempts to scale this up have proved problematic. To address this, research in areas such as 'learning design' has explored the use of formal representations of practice. This proposes that educational practice can be improved by…

An apparent paradigm shift has created increased impetus to offer higher education across multiple delivery platforms. Utilising technology can support design and delivery for enhanced learning, albeit with additional pressures on academic workloads, affecting the ability to deliver quality formal education that meets the needs of individuals and…

The authors herein justify the need for e-TPCK, an adaptive e-learning system for teaching in-service teachers how to teach with technology. Outlining the instructional design process involved and the adaptivity feature of e-TPCK, it is explained how the system promotes and measures the development of teachers' Technological Pedagogical Content…

Distance education has provided the foundation for new generations of learning, including courses delivered through various web-based educational technologies, also referred to as online learning. Many post-secondary institutions face the challenge of creating processes and systems to support instructors who are required to design, deliver, and…

This conceptual paper discusses Donald A. Schön's views on design and how it could inform design-based research (DBR) on teachers' use of technology in education. It argues that the rich affordances of digital technologies and teachers' and students' situated designs with such technologies in complex and changing educational…

In response to the spread of COVID-19, a new coronavirus, many U.S. schools have implemented remote learning. This approach to education can prevent students from experiencing setbacks during school closures. However, some schools do not have enough resources to provide learning opportunities for students, and not all children have internet access…

In this article the author examines the Common Core State Standards (CCSS) to argue for changes in "standards-based" perspectives and practices that grew out of No Child Left Behind. Drawing on an article by David T. Conley, cochairman of the Validation Committee for the CCSS, the author offers a new model for the professional…