Discourse communities: A framework from which to consider professional development for rural teachers of science and mathematics

This paper explores aspects of professional development for teachers of science and mathematics in schools in rural Australia. The study identified a range of issues including tensions between government, school and individual professional learning priorities and their respective responsibilities; the shaping of professional development by rurality; and issues of generic versus subject-specific professional learning. The paper will focus on the needs of teachers, particularly secondary teachers, for subject-specific professional development and the capacity of different professional development approaches for satisfying these needs. The notion of discourse communities is proposed as a framework for considering this issue.     

Reflection on the teaching-learning process in the initial training of teachers. Characterization of the issues on which pre-service mathematics teachers reflect

Our aim was to highlight the issues of the reflections of pre-service mathematics teachers in their learning portfolio about the teaching-learning process taking place in a university teacher-training classroom. Category systems were designed which, together with the analysis system used, could provide a method helpful to teacher educators, teachers and to future research. The pre-service teachers showed difficulty in considering themselves as ‘authentic’ mathematics teachers. The study revealed that the preparation of a portfolio can help pre-service teachers learn more about themselves and provide educators insight into how to help pre-service mathematics teachers engage in the teaching-learning process.     

Understanding the approaches to the teaching of religious education of pre-service primary teachers: The influence of religio-scientific frameworks

This paper explores what foundational concepts pre-service primary teachers are employing when they teach religious education. The study measured the attitudes to science and its relationship to religion of 92 pre-service primary teachers. Analysis of extended interviews with eight of the pre-service primary teachers illustrated how specific religio-scientific frameworks could be linked to distinct differences in approach to the teaching of religious education. The implications for teacher education were then discussed, as well as the necessity to integrate the teaching of religion and science into the design of future pedagogical approaches.     

Using a video-based curriculum to develop a reflective stance in prospective mathematics teachers

Although video cases are increasingly being used in teacher education as a means of situating learning and developing habits of reflection, there has been little evidence of the outcomes of such use. This study investigates the effects of using a coherent video-case curriculum in a university mathematics methods course by addressing two issues: (1) how the use of a video-case curriculum affects the reflective stance of prospective teachers (PTs); and (2) the extent to which a reflective stance developed while reflecting on other teachers’ practice transfers for reflecting on one’s own practice. Data sources include videotapes of course sessions and PTs’ written work from a middle school mathematics methods course that used a video-case curriculum as a major instructional tool. Both qualitative and quantitative analytical methods were used, including comparative and chi-square contingency table analyses. The PTs in this study showed changes in their level of reflection, their tendency to ground their analyses in evidence, and their focus on student thinking. In particular, they began to analyze teaching in terms of how it affects student thinking, to consider multiple interpretations of student thinking, and to develop a more tentative stance of inquiry. More significantly, the reflective stance developed via the video curriculum transferred to the PTs’ self-reflection in a course field experience. The results of this study speak to the power of using a video-case curriculum as a means of developing a reflective stance in prospective mathematics teachers.

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.     

Teachers’ perspectives on mathematics education research reports

Practicing teachers’ perspectives on a set of mathematics education research reports are described. Data were gathered through email messages, group discussions, and questionnaires. Teachers identified positive influences of research on practice aligned with some of the strands of proficient mathematics teaching identified by Kilpatrick, Swafford, and Findell [2001. Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press]. Teachers also gave negative critiques of the ability of research to influence practice aligned with Kennedy's [1997. The connection between research and practice. Educational Researcher, 26 (7), 4–12.] discussion of historical factors underlying the gap between educational research and practice. The variety of perspectives documented provides some empirical ground for informing actions in the areas of teacher education and research.     

Prospective primary teachers’ perceptions about the use of mathematics homework

The benefit of homework (HW) has been the subject of ongoing debate among various stakeholders. Within this debate, and in relation to teacher development, prospective teachers’ views of HW have received limited attention. In this study, we survey primary pre-service teachers’ (‘PSTs’) views of HW use (n = 45 teaching grades 2–5; n = 39 teaching grades 6 and 7) in a single discipline (mathematics) at one large Australian university.

The literature suggests students in upper primary and secondary grades will benefit from the use of mathematics HW. Results of the study, in contrast, suggest our PSTs teaching early primary grades planned to give proportionally (but not significantly) more mathematics HW than those teaching later grades. Reasons for this disparity are discussed. We argue there is a need in teacher development to equip PSTs with a better understanding of how classroom and home-based learning work together in the development of mathematical understanding.     

Preparing mathematics and science teachers through a residency program: perceptions and reflections

The critical challenge of recruiting, preparing, and retaining high-quality mathematics and science teachers for high-need urban schools is complex. Therefore, identifying factors that support and impede a teaching residency program’s implementation may have the potential to build an effective initiative that will benefit all stakeholders. The purpose of our study was to examine preservice teachers’ perceptions about their experiences in the Teaching Residency Program for Critical Shortage Areas program, a federally funded program designed to address teacher shortages in mathematics and science in high-need schools. Three themes emerged from the data analysis: (a) the residency framework, (b) a relevant curriculum, and (c) immersion in an authentic school context. Our findings have the potential to inform policy-makers, school administrators, university directors of school partnerships, and other individuals who have direct influence on teacher recruitment and retention.     

What and how do student teachers learn during school-based teacher education

This study looks at how student teachers learn to teach during school-based teacher education. It explores the changes that occurred in the practical theories of the student teachers and how the student teachers made these modifications. Eight student teachers were closely monitored during their training. The study's findings show that all student teachers developed broad, well-structured practical theories that focused on pupils' learning processes. Their learning processes displayed considerable individual variation. As a result of these findings, several questions have been formulated for further research concerning the impact of learning style on learning outcomes and learning in a work-based context.     

Exploring the relationship between teacher enjoyment of mathematics,their attitudes towards student struggle and instructional time amongst early years primary teachers

In this study we explored the relationship between teacher enjoyment of teaching mathematics, their attitudes towards student struggle, and the amount of time teachers spent teaching mathematics. Ninety-eight primary educators were surveyed regarding their attitudes and behaviors towards mathematics instruction. Hierarchical regression analyses revealed that teacher enjoyment of teaching mathematics explained variance in both teacher attitudes towards student struggle and instructional time spent on mathematics, even after relevant educator characteristics were accounted for. Findings suggest that teacher enjoyment of teaching mathematics in the early primary years has important implications for both the quality and quantity of mathematics instruction students receive.     

Building the expert teacher prototype: A metasummary of teacher expertise studies in primary and secondary education

While expert teachers remain a frequent focus of research in education, to date there have been very few attempts to conduct systematic reviews of this literature. This paper presents the findings of the first systematic metasummary of research on teacher expertise in K12 education (primary/elementary and secondary levels), based on analysis of 106 empirical studies from 16 countries involving 1124 teachers identified as experts. The inductively-developed coding framework was applied independently by both authors to the dataset to generate agreement counts for specific coding themes, firstly for specific domains of teacher expertise, and then stratified to compare primary and secondary studies. We present 73 specific features organised into six domains in our expert teacher prototype. Salient findings indicate that, with regard to professional practice, expert teachers reflect extensively and often critically on their practice, help their colleagues frequently, and are continuous learners throughout their careers. Concerning knowledge, we find that expert teachers have well-developed pedagogical content knowledge and knowledge about their learners. In the domain of pedagogic practice, we observe that expert teachers display flexibility in the classroom, build strong interpersonal relationships with their learners, whom they engage through their choice of activities and content, and frequently make use of strategies typically emphasised in both constructivist and learner-centred education literatures. We offer our prototype as a useful initial sketch of family resemblance among expert teachers rather than a checklist of necessary or expected features of expertise, also cautioning that the prototype remains far from complete.     

Mathematical belief change in prospective primary teachers

The development and influence of beliefs in teacher education has been a topic of increasing interest for researchers in recent years. This study explores the responses of a group of prospective primary teachers to attempts to facilitate belief change as part of their initial teacher education programme in mathematics. The students’ responses seemed to fall into three categories: non-engagement; building a new set of beliefs and; reforming existing beliefs. In this article the participants’ responses are outlined and illustrated with stories from three individuals. This study suggests that belief reform is complex and fraught with ethical dilemmas. Certainly there is a need for further research in this area, particularly given the pervasive influence of beliefs on teaching practice.

Inquiry-based science teaching competence of primary school teachers: A Delphi study

Earlier, extracted inquiry-based science teaching competency elements and domains from the international literature were compared to the United States' National Science Teaching Standards. The present Delphi study aimed to validate the findings for the Netherlands, where such standards are lacking. Experts (N = 33) were asked about the importance of 23 identified competencies. They confirmed the importance; proposed to add one competency and to differentiate between novice and experienced teachers. They suggested that teachers be provided with opportunities to integrate competence development regarding science knowledge, attitude and teaching skills throughout their career.     

Teachers' perspectives of changes in their practice during a technology in mathematics education research project

Teachers' perception of changes to their teaching practice, with respect to digital technology use in secondary school mathematics, during their participation in a research project are reported. Two case studies are presented of teacher perspectives illustrative of the range of perceived changes teachers made to their practice and positions along the ‘path of change’ during their participation in the project. Participating in a project supportive of teacher change and resulting in perception of substantial change was necessary, but not sufficient, to meet the goal of transformative use of digital technologies to increase the level of cognitive demand experienced by students.     

Classroom assessment in the eyes of Chinese primary mathematics teachers: A review of teacher-written papers

In this paper we report on a review of papers written by teachers aimed at knowing more about teachers’ perceptions of the current situation of classroom assessment in primary mathematics education in China. The review is based on 266 papers included in the China National Knowledge Infrastructure database. We found that the teacher-authors reflected various aspects of their classroom assessment practice, including the purpose of assessment, the content of it, the person who is the assessor, the assessment methods that are used, and the feedback that is provided. Most attention was paid to feedback; it seems many teacher-authors considered classroom assessment to be equivalent to feedback. In general, the conceived classroom assessment practice as described in the papers echoed well nearly all aspects that are advocated in the Chinese mathematics curriculum standards. The only aspect that was scarcely discussed in the papers was the use of assessment results to adapt and improve instruction.     

Outcomes of teacher education in Finland: subject teachers compared with primary teachers

An exit survey performed for graduating students is an economical way to assess the outcomes of teacher education. In this study, exit survey data were collected from eight cohorts of Finnish student teachers who graduated between the years 2008 and 2015. A final sample consisted of 1102 preservice primary and subject teachers. A 10-item scale based on INTASC standards of teacher competency was used to measure graduates’ satisfaction regarding the knowledge and experience they had attained. This paper concentrates especially on the results of subject teachers and comparisons between the two teacher categories. The profile of the participants was uneven across domains. The highest means were observed in the domain of planning, while the lowest were in the domain of special education. Factor analysis of the scale produced two factors: instructional efficacy and pedagogic efficacy. Subject teachers scored higher than primary teachers in instructional efficacy, while primary teachers exceeded subject teachers in pedagogic efficacy. Arts, crafts and physical education teachers scored higher than other subject teacher groups. The results indicated the importance of teaching practice in the formation of teacher competence. In the future special attention should be given to the domains that obtained the lowest scores.     

Sustaining teachers’ stories to live by: implications for teacher education

ABSTRACT

In this paper, we focus on questions around who we are as teacher educators as well as our responsibilities in helping pre-service teachers compose forward-looking stories as they prepare to begin teaching. We draw on the results of two studies in this paper: one a semi-structured interview study with 55 second- and third-year teachers in two Canadian provinces and one narrative inquiry into the experiences of early career teacher leavers. These studies showed how early career teachers’ stories to live by fuel their desires to become teachers. Teaching was a way to try to live out and sustain their stories to live by, that is, participants continued to live out their stories to live by shaped in early personal knowledge landscapes and embodied in their personal practical knowledge. We also learned that when teachers could not sustain their stories in the professional knowledge landscapes, their stories to live by shifted to stories to leave by, and they left teaching.     

Selecting teachers and prospective teachers: A meta-analysis

The purpose of this review article was to examine the methods used for the selection of teachers for employment and prospective teachers entering initial teacher education (ITE) programs, and to assess the predictive validity of these methods. We reviewed 32 studies reporting selection methods administered in high-stakes conditions and that included an external (not self-reported) teacher effectiveness outcome measure. The overall effect size was small but significant (r = 0.12, p < .001). Moderator analyses showed that academic and non-academic predictors were both significantly associated with teacher effectiveness measures and that effect sizes were small (but significant) for selection into employment and ITE. We conclude the review by proposing a research agenda that has the potential to enhance educational outcomes by improving the selection of prospective teachers.     

Inquiry-based science education: towards a pedagogical framework for primary school teachers

Inquiry-based science education (IBSE) has been promoted as an inspiring way of learning science by engaging pupils in designing and conducting their own scientific investigations. For primary school teachers, the open nature of IBSE poses challenges as they often lack experience in supporting their pupils during the different phases of an open IBSE project, such as formulating a research question and designing and conducting an investigation. The current study aims to meet these challenges by presenting a pedagogical framework in which four domains of scientific knowledge are addressed in seven phases of inquiry. The framework is based on video analyses of pedagogical interventions by primary school teachers participating in open IBSE projects. Our results show that teachers can guide their pupils successfully through the process of open inquiry by explicitly addressing the conceptual, epistemic, social and/or procedural domain of scientific knowledge in the subsequent phases of inquiry. The paper concludes by suggesting further research to validate our framework and to develop a pedagogy for primary school teachers to guide their pupils through the different phases of open inquiry.