Equitable and accessible classrooms should engage all learners with mathematics content in meaningful ways. However, practicing teachers need support from professional development (PD) to learn to teach with this ambitious vision. Informed by sociocultural theory, we employed an evaluative case study methodology to describe, explain, and assess…

The calculus concepts of concavity and inflection points are often given meaning through the shape or curvature of a graph. However, there appear to be deeper core ideas for these two concepts, though the research literature has yet to give explicit attention to what these core ideas might be or what it might mean to "understand" them.…

Mathematics teacher education is faced with the challenge of preparing new teachers for ambitious instruction, but we have limited understandings of what happens within the courses where this preparation occurs. This paper draws on interview data from of a larger investigation of novices' enactment of ambitious instruction in elementary…

Supporting students' mathematical reasoning is an important goal of mathematics instruction, but can be challenging for many teachers .We report the results of a study aimed at better understanding and identifying the ways in which teachers support student reasoning when provided with conceptually rich tasks. This study resulted in the Teacher…

In this paper we consider how mathematics instruction that values, attends to, and builds on students' mathematical ideas is realized through discourse. We describe interactions that build on students' thinking and in which students help to determine the direction of mathematics lessons as responsive. Using a framework we developed to characterize…

In this article, we briefly offer the main characteristics of a hybrid design for Face-to-Face (FtF) and online German courses in the degree of Translation and Interpreting that combines the textbook with activities moderated with technology. We particularly focus on the activities designed for practicing oral production at level A2.2., where we…

This article is a report on the findings of three case studies that focused on elementary teachers' in-the-moment noticing across a month of instruction. Extending Jacobs and her colleagues' framework (Jacobs, Lamb, and Philipp, 2010), this articles categorizes the mediums (i.e., written accounts, verbal interactions, physical strategies) by which…

The very nature of wiki-based collaborative writing around a topic-related content is the interaction of wiki functionality, content, and collaborative learning, and how the functionality is used to create the content collaboratively. This way of looking at wikis provides a theoretical model that helps researchers and educators to identify a…

Though factors contributing to difficulty in learning school subjects including Mathematics were extensively studied, nature and characteristics of mathematics, possibly, one among the foremost causes for difficulty in learning it has not received required attention. To bring attention to the difficulties arising out of the nature of mathematics…

This paper posits that teachers' pedagogical content knowledge in mathematical modelling instruction can be demonstrated in the crafting of action plans and expected teaching and learning moves via their lesson images (Schoenfeld, 1998). It can also be developed when teachers shape appropriate teaching moves in response to students' learning…

While there are many considerations for effective mathematics teachers, one key factor is the development of a classroom culture that supports the desired form of learning. In examining the opportunities and constraints associated with posing challenging tasks, we are exploring ways that teachers might influence classroom culture positively. The…

The focus of the research was to develop a model for effective learning and teaching of sociology in a large class to promote active engagement with first year undergraduate student teachers and encourage deep learning. By seeking regular feedback from students and recording their own reflections on each lecture, the teaching team and…

This paper explores ways in which Teacher Education can be implemented in higher education through a consideration of "site-based" teacher education and its role in strengthening the practice-theory notion of teacher education (Strategic Education Research Program, National Research Council 1999). Many innovative educational approaches are…

This paper describes several models of teamwork used in business curricula at Zagreb School of Economics and Management (ZSEM) in Croatia. Since its foundation in 2002, ZSEM has been implementing best academic practices for quality assurance. This is done both in terms of integrating ICT in teaching and learning, as well as applying contemporary…

This paper deals with an empirical study, which aims at showing the effects of the integration of modelling tasks into daily school routine in a comprehensive manner. At first the theoretical and methodological approach is explained. The main part of the paper deals with the results of the study. On the one hand the results show obstacles to the…