Background: Understanding students' preconceptions is an important initial step towards a successful and meaningful learning in physics. This is more relevant and important especially for concepts that are introduced formally as early as preschool including friction. Visual representation maybe often used as an aid to teaching, however,…

The purpose of this study was to examine how preservice music teachers navigate 21st-century skills in their lesson planning and field experiences. Among the various skills, we focused on the Partnership for 21st Century learning and innovation skills. Over 8 weeks, 10 preservice music teachers designed lesson plans focused on creativity, critical…

The (written) state curriculum is one of the cornerstones influencing education. Its specifically mediated by textbooks. In an open textbook market, the influence of the state curriculum is limited, and the main responsibility passes to individual schools or teachers. In order to understand education from the potential attainment of curriculum…

International comparative studies on mathematics teaching and learning often provide unitary and harmonious images of classroom practices. This paper aims to complement those studies by describing the complex aspects of those practices. Adopting activity theory as a framework, this paper considers classroom teaching and learning of mathematics as…

We examine aspects of professional collaboration in a lesson study conducted with mathematics teachers from the final years of basic education belonging to public schools in the State of Rio Grande do Sul, Brazil. The lesson study, conceived as a professional development approach focused on collaboration and reflection, took place in the 2nd…

There is widespread belief that addressing differentiation within classroom practice is critical for school improvement in mathematics. School mathematics leaders and consultants are faced with the challenge of interpreting the various models of differentiation that are presented throughout professional learning programs and aligning these with…

Pedagogical Content Knowledge (PCK) is a powerful construct for examining the complexity of teacher knowledge. Together with teachers' moment-by-moment choices of action, it provides insight into teachers' knowledge and its influence on student learning. This paper investigates the PCK experienced by a senior secondary mathematics class during a…

Measures of teacher mathematical knowledge are notoriously difficult to develop (e.g., Orrill et al., 2015). This is in part because of the multidimensional nature of teacher knowledge. As part of two separate projects being undertaken by this research team, we have attempted to write assessments of teacher pedagogical content knowledge (PCK) in…

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

This case study explores an eight-semester Peer Educator Program in the Department of Anthropology at the University of Louisville (Kentucky, USA) that trains undergraduates in teaching practices, crafts spaces of partnership, and expands learning within large general education courses. Peer educators self-select from any major and gain knowledge…

As a result of increasing emphasis placed on high quality education for all students through such legislative mandates as the Every Student Succeeds Act (ESSA) and the Individuals with Disabilities Education Act (IDEA), teachers cannot afford to waste valuable instruction time. Evidence-based practices are required to assist all students as they…

Aylie Davidson introduces a model for collaborative teacher planning that arose from the work she did with teachers as part of her PhD research. She identifies five ingredients for planning mathematical learning sequences that when used in combination with the model, enhance the quality and rigour of teachers' mathematics planning and subsequent…

This paper introduces and summarises a programme of German research into teaching started 20 years ago. This research draws on Herbart's analysis of teaching with its focus on 'Bildung' (formation) which is distinguished from the measurement/psychometric tradition. It offers the possibilities of a deeper empirical understanding of pedagogical…

Japanese lesson study was introduced to the West in the late 1990s. Certain widely disseminated publications and classroom videos, and also reports on international surveys of students achievement, led many to consider that Japanese mathematics teaching is highly creative and effective, with lesson study as a main explanatory factor. As a result,…

The aim of the study was to determine the levels of educational goals used by teachers in their daily preparation notes in Amman directorate of education, and whether their use varied according to the educational stage they are involving in, or years of experience or gender. The sample of the study consisted of (126) teachers teaching different…