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…

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'…

This paper reports a case study of four grade 10 physical sciences teachers' PCK about graphs of motion. We used three data collection strategies, namely teachers' written accounts, captured by the content representation (CoRe) tool, interviews and classroom observations. We conceptualised the PCK displayed in the CoRe tool and the interviews as…

Research into teachers' epistemic cognition is emerging as a key to understanding the quality of teachers' knowledge for teaching. Typically, investigations into the quality of teachers' knowledge have been situated within traditional subject areas, such as science or maths. However, developing good quality teacher knowledge about improving…

Despite agreement among teacher educators, scholars, and policymakers on the importance of teachers' subject matter knowledge (SMK), existing models provide limited information about the nature of this foundational component of teacher knowledge. The common assumption is that teachers need to know more about the science subject matter than their…

The purpose of this study was to explore whether chemistry lesson sequences can indicate the level of teachers' pedagogical content knowledge (PCK). The sequencing of lessons for teaching chemical bonding is taken as the case for this study. The correct sequencing of concepts in teaching chemical bonding is key to learners' conceptual…

This article reports a study of educators differentiating aspects of mathematical knowledge for teaching in preschool as part of a further-education programme. Eight Swedish preschool educators participated in focus group discussions about documentations from their own practice during a school year, to enhance their awareness of their mathematics…

We offer insights for using design-based research (DBR) as a model for constructing professional development that supports curriculum and instructional knowledge regarding science and literacy integration. We spotlight experiences in the DBR process from data collected from a sample of four elementary teachers. Findings from interviews, focus…

In order to corroborate and grow teacher educator knowledge (TEK) scholarship, this paper describes an in-depth-focused exploration of a group of teacher educators providing professional development. Our grounded data analysis allowed us to define different major elements, sub-elements, and components that comprise TEK, as well as make explicit…

The current chapter focuses on philosophical and scientific developments in the assessment of teacher knowledge. The goal is to provide an overview of major developments in the assessment of teacher knowledge and to illustrate those developments with representative and significant efforts. The authors made evaluative judgments of importance based…

This article advances a continuing line of inquiry into an innovative teacher-support program intended to help in-service history teachers develop professional teaching knowledge for inquiry-based history instruction. Two prior iterations informed our design and use of professional development materials; they also informed the implementation…

Technological pedagogical content knowledge TPACK refers to the knowledge set that teachers currently use to further improve the quality of their teaching and assist their students in learning. Several TPACK models have been proposed, either for discussing TPACK's possible composition or its practical applications. Considering that…

A hypothetical framework to characterize statistical knowledge for teaching (SKT) is described. Empirical grounding for the framework is provided by artifacts from an undergraduate course for prospective teachers that concentrated on the development of SKT. The theoretical notion of "key developmental understanding" (KDU) is used to identify…

The accepted framing of mathematics pedagogical content knowledge (PCK) as part of mathematical knowledge for teaching has centered on the question: What mathematical reasoning, insight, understanding, and skills are required for a person to teach elementary mathematics? Many have worked to address this question in K-8 teaching. Yet, there remains…

We posit that professional development (PD) models fall on a continuum from highly adaptive to highly specified, and that these constructs provide a productive way to characterize and distinguish among models. The study reported here examines the impact of an adaptive mathematics PD model on teachers' knowledge and instructional practices as well…