Teachers' knowledge of the subject matter is considered an important component of their expertise in teaching mathematics. Yet how teachers' understanding of one content area is related to other content areas has not been investigated in depth. We explored this question by investigating teachers' knowledge of two theoretically related areas: (1)…

Previous investigations into first year calculus students' understandings of tangent lines have revealed common misconceptions arising either from students' prior experiences with the topic or from the treatment of the subject in the calculus classroom. This study seeks to examine in-service secondary mathematics teachers' conceptions of tangent…

Get a deeper understanding of teaching functions, 9-12 with our concise and comprehensive Go-To Guide. Based on "Developing Essential Understanding of Functions 9-12" and "Putting Essential Understanding of Functions into Practice 9-12," this summary distills the key concepts and ideas into a quick-reference guide that's…

Teachers require support in developing the pedagogical skill of interpreting students' mathematical thinking and providing effective feedback that promotes learning. However, there is a lack of research assessing the quality of feedback based on teacher noticing in mathematics classes. This study analysed 20 preservice teachers' (PSTs) feedback…

This research aims to investigate the pedagogical content knowledge (PCK) of prospective mathematics teachers on the subject of limits, based on the two components of PCK: the knowledge of student understanding and the knowledge of instructional strategies. The research sample comprises 33 fourth-year prospective Mathematics teachers (known…

The purpose of this study was to investigate pre-service teachers' knowledge of content and students vis-à-vis their ability to anticipate, identify and clear high school students' misconceptions about inverse and composite functions. To accomplish this goal a case study research design was used to examine one fourth year mathematics education…

The purpose of this study was to explore the ways elementary pre-service teachers responded to hypothetical student misconceptions about area measurement topics, framed in the context of their existing understanding and the Mathematical Knowledge for Teaching framework. Data collection consisted of written pre-assessments, followed by…

In Sri Lankan advanced level mathematics curriculum, teachers are required only to provide the intuitive idea of the concept of limit. The purpose of this study is to explore the strategies used by mathematics teachers to achieve this. Twelve in-service secondary mathematics teachers working in government and private schools participated in the…

This paper reports on an exploration of preservice teachers' understanding of the quadratic function concept in Zimbabwe. These concepts were taught to preservice teachers studying for a diploma in Education wishing to specialize in the teaching of Ordinary level mathematics. Concerns about high Mathematics failure rate in Zimbabwean Secondary…

Although trigonometry is an important section in secondary school mathematics curricula, many teachers find it challenging to teach as a result of insufficient pedagogical content knowledge (PCK). Therefore, the aim of this article was to report on how PCK on trigonometry manifests itself in teachers' practice. This exploratory case study was…

This article describes how creating a MOOC (Massive Open Online Course) about ratio and proportion in a collaborative, technological environment during mathematics teacher training, benefited the development of content, pedagogical and technological knowledge for teaching. Twenty-nine trainee mathematics teachers, divided into groups, created…

This multi-case study examines how three elementary mathematics methods instructors, in the same teacher education program, provide their prospective teachers with learning opportunities. Qualitative data were collected through interviews, classroom observations, and artifacts. The findings suggest that the instructors' beliefs associated with…

Mathematics education consists of numerous factors, and a vital factor is teachers. Therefore, well-trained teachers play a crucial role in the education system. In this context, the pedagogical content knowledge of teachers forms a vital foundation for effective mathematics teaching. The study aimed to examine the pedagogical content knowledge of…

There is a growing emphasis in the teaching profession on pedagogical content knowledge (PCK) as an important knowledge component. The study reported in this article investigates Turkish prospective mathematics teachers' mathematics teaching knowledge in the numbers content domain. A series of 10 open-ended scenario-type questions were adopted to…

Knowledge that teachers bring to the teaching context is one of the key factors in discussions about mathematics teaching. This study aimed to explore in-service primary teachers' knowledge of fraction division using division tasks. The first phase of the study examined fifty-one primary in-service teachers' written responses to division items.…