Elementary school teachers' knowledge and beliefs regarding non-routine problems

This study focuses on the knowledge exhibited by 30 elementary school in-service and pre-service teachers in solving non-routine mathematical problems and on their beliefs regarding these kinds of problems. Interviews were used to reveal teachers' knowledge and beliefs. The findings indicated that these teachers had difficulty in solving non-routine problems and that their ability to solve these problems was influenced by their professional backgrounds. Most of the teachers, although failing to solve the given problems, expressed their willingness to give such problems to their students in class, explaining that such problems are important for students to learn how to solve as they help develop mathematical thinking and the skill of solving problems in everyday life. However, the teachers were unwilling to include such problems in examinations.     

Primary special school teachers' knowledge and beliefs about supporting learning in numeracy

This paper presents findings from a qualitative study of a group of 12 teachers in primary special schools in Scotland for children with moderate learning difficulties. It sets out an analysis of classroom observations and interviews that explored teachers' knowledge and beliefs about teaching and learning in mathematics with children with moderate learning difficulties. The teachers were interviewed pre‐ and post‐intervention; this was a research‐based professional development programme in children's mathematical thinking (Cognitively Guided Instruction) which teachers then developed in their classrooms. The findings showed that prior to the professional development, the teachers had a limited knowledge of children's mathematical development with teaching frequently informed by intuitive beliefs and dated and sometimes discredited practices. Most teachers had low expectations of children with learning difficulties. Post‐intervention, the teachers reviewed this stance and affirmed that a deeper understanding of children's mathematical thinking provided a more secure knowledge base for instruction. They also recognised the extent to which learners were constrained by existing classroom practices. The paper argues for the commonality of this knowledge base and considers the problematic nature of viewing such knowledge as sector specific.     

Comparison of Quebec and British teachers' beliefs about,training in and experience with attention deficit hyperactivity disorder

Abstract

This study compares belief patterns of teachers from Quebec and Britain about attention deficit hyperactivity disorder (ADHD). It also compares teacher training in ADHD in both countries, as well as their experience with students who have this disorder. The results indicate that: (1) teacher belief patterns about ADHD in Quebec and Britain are different, although teachers from both countries have predominant beliefs about ADHD that are of an allopathic medical nature; (2) British teachers have received less information on ADHD in their initial training than Quebec teachers; and (3) British teachers are contacted more often than Quebec teachers by doctors when they have a youngster using medication to treat ADHD in their classroom. Results are discussed from a sociological and an educational perspective.     

The change in epistemological beliefs and beliefs about teaching and learning: a study among pre-service teachers

This study investigated the change in Singaporean pre-service teachers' epistemological beliefs and beliefs about learning and teaching over the course of a teacher preparation program. An online survey was administered during the first week of a nine-month program and the same survey was administered after the 413 participants had completed all their course work and teaching practice. Participants exhibited significant changes in epistemological beliefs and beliefs about learning and teaching – participants indicated more relativistic epistemological outlooks and less constructivism in beliefs about teaching. At the end of the teacher preparation program, they seemed to less value effort in learning and believed more in innate ability.     

Making claims for school media: a study of teachers' beliefs about media in Hong Kong

Despite growing calls for media education in different parts of the world, little consensus has been reached over what to teach and how to teach. The implementation of related initiatives varies across different contexts as well as cultures. The outcomes depend largely on the beliefs, attitudes and efforts of individual teachers. This study aims to identify and discuss teachers' beliefs about media through an analysis of documents related to school media. It examines how 13 secondary schools in Hong Kong justified their applications for funding to set up a school television station. Using methods in documentary research, the study analyses the claims made for school media. The hidden assumptions held by schools towards school media, new media, mass media, media education and media literacy are discussed.     

Pre-service teachers' beliefs about the switch of medium-of-instruction and their influence on lesson planning and teaching practice

Studies suggest that pre-service teachers' existing beliefs often serve as a lens to interpret the subject matter to be taught, guide their thoughts in lesson planning and shape their behaviour in classroom practices during their teaching practicum. This study examines how these beliefs affect pre-service teachers' conceptualization of Putonghua-medium-of-instruction (PMI) and their teaching. The findings indicate that the conceptualization of pre-service teachers about PMI ranged from code switching to curriculum integration. Their focus of lesson planning and teaching practice varied from transmission of Putonghua knowledge and detailed explanation of text information to integration of Chinese Language and Putonghua.     

Towards a re-conceptualization of teachers' self-efficacy beliefs: tackling enduring problems with the quantitative research and moving on

Various commentators have argued for years that the study of teachers' self-efficacy (TSE) beliefs, largely dominated by quantitative research methodologies, has been confused. Contentious issues include the very conceptualization of these beliefs, how they are defined and accessed through research and how the research is used. One of the biggest anomalies is that, despite claiming that these beliefs are task-specific, many quantitative researchers have both assessed them globally and portrayed them as hard to impact. In contrast, some qualitative researchers have emphasized the task-specific nature of these beliefs and their potential for transformation through self-doubt, reflection and learning. This literature review examines these and other contentious issues, focusing on studies published in international peer-reviewed journals in the last few years, looking, through the use of search terms and the surveying of abstracts followed by detailed reading, for evidence of developing understandings and changing research practices. This review highlights continuing misalignment between theory and method in much of the literature, but also identifies promising research directions. Mixed methods and qualitative research designs seem to have the potential to produce insightful findings that can make the study of TSE beliefs of greater use to teacher educators than has previously been the case.     

Dynamic assessment and teachers' knowledge of children's mathematical thinking: a case study in children's mathematics

This paper considers the kind of pedagogical knowledge and principles involved in the operationalisation of knowledge of children's mathematical thinking as a process of dynamic assessment. Using a case study of a particular child, this paper explores planning and instruction for a child determined by a detailed and informed interpretation of the child's conceptual understanding through a dynamic process. It presents as a case study the observations of a teacher who had undertaken professional development in children's mathematical thinking, theoretically informed by Cognitively Guided Instruction and Maths Recovery. The observations revealed the child's mathematical understanding and how the teacher used this knowledge dynamically to inform teaching. The paper outlines the kind of knowledge required of teachers to enact this dynamic process in mathematics teaching and argues for the centrality of this to the development of inclusive practice.     

Changing perspectives: Examining the potential for advanced mathematical studies to influence pre-service teachers' beliefs about mathematics

This study considers the potential for advanced mathematical studies to impact pre-service teachers' beliefs about mathematics. Results show that, after completing a degree which includes advanced mathematical studies, many prospective teachers' beliefs still reflect limited interpretations of key terminology and do not value the theoretical and conceptual network underpinning the rules and procedures of secondary mathematics. Many of their beliefs about the nature of mathematics also fail to recognise its capacity to stimulate analytical thought and creativity. In cases where pre-service teachers showed evidence of well-developed beliefs, the study explores the role of their advanced mathematical studies in this development.     

Co-teaching as a context for teachers' professional learning and joint knowledge construction

The study examined two primary teachers' professional learning and joint knowledge construction in the context of co-teaching. The teachers narrated their learning as a collaborative process with serendipitous origins. Shared knowledge construction was crucial in the learning process, as was implementing the resulting new ideas in practice. It is concluded that experiences of co-teaching may support teachers in meeting their professional responsibilities effectively. Professional development programmes need to be sensitive to teachers' individual and collaborative learning experiences to be able better to support them in the natural context of those experiences in particular local and national contexts.