The study investigated teachers' pedagogical content knowledge of common students' errors and misconceptions in sets. Five mathematics teachers from one Lesotho secondary school were the sample of the study. Questionnaires and interviews were used for data collection. The results show that teachers were able to identify the following students'…

This study employed regression analysis to investigate the relationship between primary school teachers' pedagogical practices and their knowledge of mathematics. The sample composed of 606 Grade 6 mathematics teachers in Namibia, i.e. 304 (50.2%) males and 302 (49.8%) females. The study utilized existing questionnaire data collected by the…

The purpose of this research project was to evaluate fifth grade teacher mathematical content knowledge, compare that mathematical content knowledge to efficacy in teaching the new rigorous mathematical standards, and to ascertain if these two factors played a role in student achievement. Quantitative results were derived from student assessment…

Over the last decade, researchers have investigated the nature and scope of mathematical knowledge for teaching (MKT) and have provided evidence that teachers' MKT plays a critical role in the effectiveness of teaching and learning. This dissertation focuses on the problem of helping teachers develop MKT. Two goals shape the research: (1) to…

This study describes the construction of a questionnaire instrument to measure mathematics teacher educators' knowledge for technology integrated mathematics teaching. The study was founded on a reconceptualisation of the generic Technological Pedagogical Content Knowledge framework in the specific context of mathematics teaching. Steps in the…

This multipart study looked at pre-service teachers' (PSTs') understandings of the equal sign using an experimental measure, the EQ score. The data were analyzed for PSTs as a group and cross-sectionally at three key points during their elementary teacher education program. Relationships between equal sign understandings and other variables (e.g.,…

Using artifacts of teachers' practices, classroom observations, and teacher interviews, we explore the development and enactment of 2 novices' pedagogical content knowledge (PCK) for teaching history. We identify and track 4 components of PCK that are relevant to teaching history: representing history, transforming history, attending to students'…

The purpose of the study was to examine if and how elementary preservice teachers' perceptions about history were changed upon their completion of a class project that engaged them in a discipline-specific inquiry as a method of teaching history. Surveys were administered to assess any changes in their perception of the history before and after…

In the age of accountability, there is increased pressure to deliver high-quality education in a limited time period is greater than ever before. Teachers are often left to struggle with issue of determining what knowledge is necessary, and to what depth it may be explored in the classroom. There is a need for strategies to both incorporate the…

This article is a systematic reflection on a sequence of episodes related to teaching probability. Our central claim is that reducing problems to a consideration of the sample space, which consists of equiprobable outcomes, may not be in accord with learners' initial ways of reasoning. We suggest a "desirable pedagogical approach" in which the…

This paper reports on the relationship between the subject matter knowledge of two underqualified teachers and their topic-specific pedagogical content knowledge (TSPCK) as they taught genetics at two community secondary schools in Malawi. The study was qualitative and used the multiple case study approach. The sample was purposefully chosen. Data…

Research suggests discipline-specific, educative mentoring can help preservice teachers develop more sophisticated pedagogical content knowledge (PCK). However, there are few studies examining the nature of mentors' practice and "how" mentors influence preservice teacher's (PST) PCK. The purpose of this case study was to describe the…

Video clips of mathematics lessons are used extensively in pre-service teacher education and continuing professional development activities. Given course time constraints, an opportunity to critique these videos is not always possible. Because of this, and because pre-service teachers make extensive use of material found during internet searches,…

Curriculum design in higher education environments, namely the consideration of aims, learning outcomes, syllabus, pedagogy and assessment, can often be ad hoc and driven by informal cultural habits. Academics with disciplinary expertise may be resistant to (or ignorant of) pedagogical approaches beyond existing practice. In an environment where…

Lesson plans are a potentially powerful means to facilitate teachers' use of technology in the classroom. This study investigated which supplementary information is preferred by teachers when integrating a new technology into the classroom. Forty-six high school biology teachers (23 pre-service and 23 in-service) received a technology-infused…