Search

Technology is available and accessible in many mathematics classrooms. Adopting technology to support teaching and learning requires teachers to change their teaching practices. This paper reports the responses of a diverse cohort of 92 secondary mathematics teachers who chose to respond to an Australian state-wide survey (Mathematics with Technology Perceptions Survey) developed using a Theory of Planned Behaviour framework. The items discussed in this paper targeted mathematics teachers’ perceptions of possible barriers and enablers to their intention to use technology in their teaching. The responses are varied but, overall, strength of agreement with enablers outweighed agreement with perceived barriers. However, it is clear that despite an overall positive attitude towards the use of technology for teaching mathematics, some perceived barriers to change are notable. It is, therefore, helpful if those responsible for professional development, promoting the use of technology, recognise and address these barriers as well as working to strengthening enablers. [ABSTRACT FROM AUTHOR]

This paper (1) presents a conceptual framework for analyzing the mathematics addressed in probability lessons and (2) uses the framework to compare the mathematics that two teachers with contrasting teaching approaches addressed in class when teaching the topic of probability. One teaching approach aimed to develop understanding; the other emphasized mechanistic answer finding. Class work on 193 problems was analyzed qualitatively and quantitatively, showing some similarities and some differences in the mathematics that the two teachers offered to students. The differences found seemed to be linked to the teachers’ teaching approaches. The findings suggest that teachers who adopt different teaching approaches, to some extent, make available to learn different mathematics even when they use the same textbooks. [ABSTRACT FROM AUTHOR]

This paper describes the experience of a group of 17 prospective mathematics teachers who were engaged in a series of activities aimed at developing their awareness of creativity in mathematics. This experience was initiated on the basis of ideas proposed by the participants regarding ways creativity of school students might be developed. Over a period of 6 weeks, they were engaged in inventing geometrical concepts and in the examination of their properties. The prospective teachers’ reflections upon the process they underwent indicate that they developed awareness of various aspects of creativity while deepening their mathematical and didactical knowledge. [ABSTRACT FROM AUTHOR]

There is an increasing awareness of the social dimension in mathematics teacher education. Collaboration and co-operation are regarded as key factors in professional development. In this paper I will analyse some tensions that might arise when the professional development of mathematics teachers is considered a collective enterprise. I will present phenomenological group interview as a method that is designed to reveal the collective character of teacher development. Some primary teachers’ collective reflections on an ongoing professional development process will be interpreted by focusing on the concepts of routine and collective orientation. The discussion is centred on the ambivalence of routines, as facilitators of practice, and collective orientations, as socially-agreed-upon knowledge base, for mathematics teachers’ professional development. [ABSTRACT FROM AUTHOR]

This paper outlines some theoretical categories (i.e. the meso-, topo-, chrono- geneses, the “milieu”, the didactical contract and the learning games), providing a model to study mathematics teacher’s action. In order to show what this model brings to the didactical analysis, we present the action of two teachers, on the same content, and we attempt a threefold description, covering different scales of analyses of the teaching processes. To amplify the phenomena that are to be observed, we suggested the teachers include the “Race to 20” situation in their teaching. We expect that implementing an unusual teaching device should lead the teachers to take decisions and explain them more easily than in everyday lessons. [ABSTRACT FROM AUTHOR]

In research on teachers’ beliefs, a distinction is often made between what teachers state (“professed beliefs”) and what is reflected in teachers’ practices (“attributed beliefs”). Researchers claim to have found both consistencies and inconsistencies between professed and attributed beliefs. In this paper, methods and research designs typically used in studies of teachers’ beliefs are examined. It is asserted that, in some cases, the perceived discrepancy between professed and attributed beliefs may actually be an artifact of the methods used to collect and analyze relevant data and the particular conceptualizations of beliefs implicit in the research designs. In particular, the apparent dichotomy can be the result of a lack of shared understanding between teachers and researchers of the meaning of terms used to describe beliefs and practices. In addition, it is asserted that it is inappropriate to classify any belief as entirely professed since researchers make various attributions to teachers through choices about data collection, theory, analysis of data, and presentation of findings. Moreover, the emphasis on classifying beliefs in this manner may be inhibiting researchers from developing a more comprehensive understanding of teachers’ beliefs. Traditional and alternative methods are described, a data example is provided to illustrate the claims, and implications for future research are discussed. [ABSTRACT FROM AUTHOR]

The crisis in UK mathematics education, both in schools and universities, has been widely reported in the national media. A recent study shows that 26% of full-time mathematics teachers in UK schools have no qualification in the subject, and that 31% of all UK schools' mathematics teachers are now over the age of 50. The crisis in school mathematics has impacted on much of the university sector, with some departments under threat of closure and widespread difficulties experienced in student recruitment. The availability of attractive careers for mathematics graduates impacts upon the numbers choosing to enter teaching, thus risking a spiral of decline. Furthermore, studies suggest that UK mathematics graduates often lack confidence in several key skills essential for teaching, such as presenting information effectively, working in teams, and written communication. This paper recounts the development of a unit of study in the Faculty of Mathematical Studies at the University of Southampton, England, in conjunction with a new initiative, the Undergraduate Ambassadors Scheme, which seek to address the crisis in UK mathematics education through the training and placement of final year undergraduates as teaching assistants in local schools. This with a view to promoting mathematics to the broadest possible constituency as a university choice, whilst simultaneously developing those key transferable skills in which undergraduates regularly feel least confident, and allowing undergraduates to experience a flavour of teaching as a career option. [ABSTRACT FROM AUTHOR]

This paper offers for discussion and critique a conceptual framework that applies a situative perspective on learning to the study of learning to teach mathematics. From this perspective, such learning occurs in many different situations -- mathematics and teacher preparation courses, pre-service field experiences, and schools of employment. By participating over time in these varied contexts, mathematics teachers refine their conceptions about their craft -- the big ideas of mathematics, mathematics-specific pedagogy, and sense of self as a mathematics teacher. This framework guides a research project that traces the learning trajectories of teachers from two reform-based teacher preparation programs into their early teaching careers. We provide two examples from this research to illustrate how this framework has helped us understand the process of learning to teach. [ABSTRACT FROM AUTHOR]

This is a theoretical article proposing a way of organizing and structuring the discussion of why and how to use the history of mathematics in the teaching and learning of mathematics, as well as the interrelations between the arguments for using history and the approaches to doing so. The way of going about this is to propose two sets of categories in which to place the arguments for using history (the “whys”) and the different approaches to doing this (the “hows”). The arguments for using history are divided into two categories; history as a tool and history as a goal. The ways of using history are placed into three categories of approaches: the illumination, the modules, and the history-based approaches. This categorization, along with a discussion of the motivation for using history being one concerned with either the inner issues (in-issues) or the metaperspective issues (meta-issues) of mathematics, provides a means of ordering the discussion of “whys” and “hows.” [ABSTRACT FROM AUTHOR]