Pre-service versus in-service mathematics teachers’ opinions of mathematics reform in post-primary schools in Ireland

A new approach to the teaching and learning of mathematics has been introduced on a phased basis in post-primary education in Ireland. As part of the OECD PISA 2012, a survey was undertaken of in-service mathematics teachers in Ireland, with the aim of gathering data on the opinions of teachers about this reform. Here, a modified version of the survey was distributed to pre-service teachers immediately before and after a four-month teaching placement to ascertain if there were differences in the views expressed by pre-service and in-service teachers in relation to the teaching and learning of mathematics, and also if there were differences expressed by the pre-service teachers before and after their placement in post-primary schools. Analysis of the results showed considerable levels of agreement between all groups, with some exceptions in relation to confidence in teaching the reformed curriculum, emphasis on various teaching and learning activities, and usage of ICT in the classroom.     

Preservice teachers’ use of contrasting cases in mathematics instruction

Drawing comparisons between students’ alternative solution strategies to a single mathematics problem is a powerful yet challenging instructional practice. We examined 80 preservice teachers’ when asked to design a short lesson when given a problem and two student solutions—one correct and one incorrect. These micro-teaching events were videotaped and coded, revealing that fewer than half of participants (43%) made any explicit comparison or contrasts between the two solution strategies. Those who did were still not likely to use additional support strategies to draw students’ attention to key elements of the comparison. Further, correlations suggest that participants’ mathematical content knowledge may be related to whether participants’ showed contrasting cases but not to whether they used specific pedagogical cues to support those comparisons. While these micro-teaching events differ from the interactive constraints of a classroom, they reveal that participants did not immediately orient toward differing student solutions as a discussion opportunity, and that future instruction on contrasting cases must highlight the utility of this practice.     

Curriculum policy reform in an era of technical accountability: ‘fixing’ curriculum,teachers and students in English schools

Abstract

Drawing on a Levinasian ethical perspective, the argument driving this paper is that the technical accountability movement currently dominating the educational system in England is less than adequate because it overlooks educators’ responsibility for ethical relations in responding to difference in respect of the other. Curriculum policy makes a significant contribution to the technical accountability culture through complicity in performativity, high-stakes testing and datafication, at the same time as constituting student and teacher subjectivities. I present two different conceptualizations of subjectivity and education, before engaging these in the analysis of data arising from an empirical study which investigated teachers’ and stakeholders’ experiences of curriculum policy reform in ‘disadvantaged’ English schools. The study’s findings demonstrate how a prescribed programme of technical curriculum regulation attempts to ‘fix’ or mend educational problems by ‘fixing’ or prescribing educational solutions. This not only denies ethical professional relations between students, teachers and parents, but also deflects responsibility for educational success from government to teachers and hastens the move from public to private educational provision. Complying with prescribed curriculum policy requirements shifts attention from broad philosophical and ethical questions about educational purpose as well as conferring a violence by assuming control over student and teacher subjectivities.     

Agency at work: two beginning science teachers’ stories in a context of curriculum reform in China

In this study, a sociocultural perspective was adopted to understand the interplay between identity and agency in a context of science education reform in China. The manifestation of agency and the interaction between identity and agency were examined with two beginning science teachers teaching with practical work in high school. As part of this study, the identity formation of beginning science teachers was conceived as a site for locating and investigating teacher agency. Based on multiple data sources, we identified six spaces in which the two participants’ agency manifested: (1) personal characteristics; (2) personal beliefs; (3) interactions with students; (4) interactions with colleagues; (5) curriculum materials; and (6) high-stakes examinations. In each space, the two participants’ agency contrasted in terms of perspectives and actions: one was passive, less confident and negative, whereas the other active, more confident and positive. Moreover, it was found that their contrary actions were the result of different perspectives. Based on the findings, a model of the interplay between the identity and agency of an individual science teacher is proposed in a context of curriculum reform. The implications of this model for future research and science teacher development are discussed.     

The use of digital storytelling in elementary Math teachers’ education

Technological devices are widely used in various forms and for various purposes with educational systems. Teachers are required to not only use technology with the utmost efficiency, but to also act as role models for students in terms of appropriate use of technology. However, many teacher candidates are not aware of the educational use of technology classroom; hence, technology must be especially integrated into undergraduate teacher training programs through courses and field experience. Various methods, techniques, tools, and equipment are utilized in order to improve the efficiency of teaching and learning processes in the classroom, of which digital storytelling is one of them. The use of digital stories in education is beneficial both for teachers and students. For this reason, this research investigates the use of digital stories in mathematics education as well as the opinions and experiences of mathematics teacher candidates about creating, using, and evaluating digital stories. Data of the study were collected via semistructured interviews, transcribed, and content analyzed. The results of the study showed that prospective math teachers preferred GoAnimate program to create digital stories due to its ease of use, design, and the characters and visuals it suggests. Furthermore, the prospective teachers were found to aspire to use digital stories in their future careers.     

Intervention program on the use of practical work as a teaching strategy in elementary school mathematics: Its effects on the teachers’ instructional skills and mathematical ability

This paper examines the extent to which an intervention program on the use of practical work affected the following two variables: instructional techniques and mathematical ability. An attempt was made to correlate these two variables with age, educational attainment, and teaching experience to determine if there exists a relationship with and without the effect of the intervention. Differences and relationships between these two variables before and after the intervention were significant. However, these two variables were not correlated with age, educational attainment and teaching experience before and after the intervention. Generally, the results and discussion in this paper may serve as a catalyst from which necessary remediation and modification of school and in-service programs could emanate.     

Mathematics anxiety and mathematics teacher efficacy in elementary pre‐service teachers

This study investigated the relationship between mathematics anxiety and mathematics teacher efficacy among 156 elementary pre‐service teachers from a university in the southeastern United States. Data sources included the Mathematics Anxiety Rating Scale (MARS), Mathematics Teaching Efficacy Beliefs Instrument, and pre‐service teacher interviews. Findings revealed a significant, negative relationship between mathematics anxiety and mathematics teachers’ efficacy (r = ?.475, p<.05). Specifically, the pre‐service teachers with the lowest degree of mathematics anxiety had the highest levels of mathematics teacher efficacy. Interviews with pre‐service teachers indicated that their mathematics anxiety is associated with efficaciousness toward mathematics teaching practices and is the basis for their mathematics teaching efficacy beliefs.     

Conceptualising teachers’ assessment literacies in an era of curriculum and assessment reform

Teacher assessment literacy is a phrase that is often used but rarely defined. Yet understanding teacher assessment literacy is important in an international curriculum and assessment reform context that continues to challenge teachers’ assessment practices. In this article situated examples of classroom assessment literacies are analysed using Bernstein’s (Pedagogy, symbolic control and identity: Theory, research and critique, Taylor and Francis, London, 1996; Br J Sociol Educ 20(2):157–173, 1999) theoretical tools of vertical and horizontal discourses, classification and framing. Drawing on a sociocultural view of learning, the authors define teacher assessment literacies as dynamic social practices which are context dependent and which involve teachers in articulating and negotiating classroom and cultural knowledges with one another and with learners, in the initiation, development and practice of assessment to achieve the learning goals of students. This conceptualisation of assessment literacy aims to make explicit some underpinning theoretical constructs of assessment literacy to inform dialogue and decision making for policy and practice to benefit student learning and achievement.     

History of mathematics in secondary school teachers’ training: towards a nonviolent mathematics education

In the context of mathematics teachers’ training, the concept of dépaysement épistémologique (epistemological disorientation) emphasizes that the contact with the history of mathematics, particularly with the use of original sources, pushes aside commonplace students’ perspectives about the discipline and offers them a critical look towards mathematics’s historical, social and cultural aspects. Conceptually supported by the theory of objectivation, an emergent sociocultural theory in mathematics education, this study describes the dépaysement épistémologique lived by future mathematics teachers engaged in the reading of historical texts. A phenomenological approach allowed us to clarify various meanings associated with students’ lived experiences and a dialogical perspective provides a way to get these meanings in tension through a polyphonic narration. Our reading of this polyphonic narration suggests that dépaysement épistémologique associated with the reading of historical texts encouraged empathy from students towards the authors and their future learners, opening up the possibility for a nonviolent mathematics education.     

School‐based restructuring and curriculum change: teachers’ and students’ contrasting perspectives

Abstract

This article is set within the context of a school‐based change initiative, where we studied a number of teachers and students in order to understand the ways in which they understood and experienced the complexities of the change process, and to add their voices to the ongoing discussions around restructuring and school‐based change. We found that although there were some commonalties between how teachers and students experienced the changes being implemented, there were also some profound differences between the curriculum as planned by teachers and the curriculum as experienced by students. For the teachers, the themes of caring for students’ lives, recasting themselves as classroom practitioners and of working as collaborative colleagues were identified; for students, the themes were those of getting used to the place, and of re‐establishing their preferred way of working in this new setting. In our discussion and analysis of these themes we look at the implications for future school‐based change initiatives, and at some of the complexities and difficulties which present themselves as schools take on increased authority and responsibility for self‐management and for the creation of improved learning environments for students and teachers. We suggest that future change efforts should give more importance to the perspectives of teachers and students, and to the interactive and programmatic exchanges of teachers and students. We suggest also that changed school structures should originate in a focus on the improvement of teaching and learning, and on the facilitation of teachers’ and students’ collaborative efforts to create a curriculum for the classroom and a learning community which is both enabling and transformative for both.     

Mathematically based and practically based explanations in the elementary school: teachers’ preferences

This article focuses on elementary school teachers’ preferences for mathematically based (MB) and practically based (PB) explanations. Using the context of even and odd numbers, it explores the types of explanations teachers generate on their own as well as the types of explanations they prefer after reviewing various explanations. It also investigates the basis for these preferences. Results show that teacher-generated explanations include more MB explanations than PB explanations. However, many still choose to use mostly PB explanations in their classrooms, believing that these explanations will be most convincing to their students. The implications for teacher education are discussed.     

Pre‐service elementary teachers’ beliefs about use of the Internet in the social studies classroom

The Internet has become one of the most common instructional tools because of recent developments in telecommunications and Internet technology. Accordingly, educators increasingly support the use of the Internet in the social studies classroom. Thus, the purpose of this study was to investigate pre‐service elementary teachers’ beliefs about the use of the Internet in the social studies classroom. Data were collected through an open‐ended questionnaire from 37 pre‐service elementary teachers in a large Turkish university. An inductive analysis approach was used to analyse the data. Thus, the emergent patterns of the data were used to develop coding categories. The data analysis indicated that the majority of the participants supported the use of the Internet in the social studies classroom, while they acknowledged the disadvantages and negative aspects of the use of the Internet.     

‘We can only change in a small way’: A study of secondary English teachers’ implementation of curriculum reform in China

This article reports on a study of English secondary teachers’ perceptions of and implementation of the new English curriculum reform in China. Triangulated data collection methods were employed to gather information about teachers’ perceptions of the new curriculum and their teaching behaviours. Implementation gap emerged between the new curriculum requirements and the teachers’ classroom practices despite the teachers’ common endorsement of the new curriculum goals and pedagogies due to a series of contextual constraints: the considerable professional and psychological challenges to teachers, the students’ resistance, and the lack of support school administrators and most importantly, the backwash effect of the prevalent examination culture. The study suggests the necessity to address teachers’ challenges and difficulties in the curriculum reform process to facilitate their implementation of the reform.     

Chinese primary school mathematics teachers working in a centralised curriculum system: a case study of two primary schools in North‐East China

Mainland China has a highly centralised curriculum development system. A study of two schools in northeast China, one in a rural area and the other in an urban area, indicates that the primary mathematics curriculum has been widely adopted by teachers at the classroom level. Feeling the intense pressure generated by the national mathematics Olympiad,1 1. The mathematics Olympiad is a type of ‘extracurricular’ activity that aims to promote students' interest and improve their ability in mathematics. Students participating in the competition are required to complete some challenging and non‐routine mathematical operations. The international mathematics Olympiad is held every year. In Mainland China, this competition is commonly organised at city, provincial and national level. Students who perform exceptionally well are exempted from the highly competitive national university entrance examinations for entry to universities View all notes teachers in the urban school tended to give more difficult mathematics problems to their students in the hope that above‐average students would perform well in the competition. In the rural school, the ability of students was more varied and generally lower. Teachers there worked very hard to push their students to meet the national requirements. The driving force behind this was the county‐wide public examination in which students' performance was taken as an indicator of teachers' competence. Teachers in both schools also have not taken effective steps to adapt the curriculum for students' individual differences. A comparison of the practices between the teachers in the two schools suggests that teachers' beliefs, their professional knowledge and skills shape their inclination and ability in curriculum adaptation and differentiation.     

Influences on US middle school teachers’ use of environment‐based education

The term environment‐based education (EBE) describes a form of school‐based environmental education in which an instructor uses the environment as a context for integrating subjects and a source of real world learning experiences. Despite the growing body of evidence that supports the educational efficacy of this instructional approach and its grounding in high‐quality environmental education, relatively few US teachers seem to practice EBE (University of Maryland Survey Research Center 2000 University of Maryland Survey Research Center. 2000. Environmental studies in the K‐12 classroom: A teacher’s view, College Park, MD: Author.  [Google Scholar]). In the context of encouraging more widespread adoption of this formal instructional approach, the author used survey research with a random sample of fifth–eighth grade teachers in US public schools to investigate influences on their decisions to use EBE and barriers to EBE implementation. The study also investigated how perceived influences on and barriers to EBE teachers differed from perceptions of teachers using other forms of environmental education and teachers using neither approach. Results suggest the importance of the following in teachers’ decisions to use EBE: positive environmental attitudes; environmental sensitivity; receptiveness to EBE; teaching context; and environmental literacy knowledge and skills. The influence that best discriminated between EBE teachers and teachers using other forms of environmental education was evidence of positive outcomes. The barrier that best discriminated among EBE teachers, teachers using other forms of environmental education, and teachers not using any form of environmental education was lack of training.     

Curriculum Reform in South Africa: a critical analysis of outcomes‐based education

Since South Africa's first national democratic elections in 1994, the Government of National Unity has issued several curriculum‐related reforms intended to democratise education and eliminate inequalities in the post‐apartheid education system. The most comprehensive of these reforms has been labelled outcomes‐based education (OBE), an approach to education which underpins the new Curriculum 2005. While the anticipated positive effects of the new curriculum have been widely heralded, there has been little criticism of these proposals given the social and educational context of South African schools. In this article the philosophical, political and implementational dilemmas of OBE are systematically analysed and assessed.

     

Being professional: accountability and authority in teachers’ responses to science curriculum reform

The science curriculum is a focus of repeated reform in many countries. However, the enactment of such reforms within schools rarely reflects the intended outcomes of curriculum designers. This review considers what we know about the experiences and reflections of teachers in the enactment of externally driven school science curriculum reform. ‘Externally driven’ signals a focus on studies of teachers who did not make a proactive choice to adopt a particular curriculum reform initiative. This is a very common experience for teachers in many school systems, and one likely to highlight issues of professionalism and authority that are central to the work of teachers. The review analyses 34 relevant studies. These include studies of teachers’ experiences of national curriculum reform, and also studies focusing on more regional or local curriculum reform activities. The studies examine individual teachers’ beliefs, practices and reflections associated with curriculum reform, the response of teacher communities to reform (e.g. within school departments), and teachers’ (and other stakeholders’) experiences across school systems. A wide range of factors influencing teachers’ responses are identified. These are characterised in terms of personal, internal and external contexts of teachers’ work. The review also highlights issues of authority, professionalism and the process of meaning-making in response to external curriculum reform. The discussion section identifies important areas for future research and gives recommendations for the design of curriculum policies that recognise and support the professionalism of science teachers.     

Teachers’ concerns and efficacy beliefs about implementing a mathematics curriculum reform: integrating two lines of inquiry

This article discusses the possibility of using nonprofessional tutoring as means for advancing low achievers in secondary school mathematics. In comparison with professional, paraprofessional, and peer tutoring, nonprofessional tutoring may seem less beneficial and, at first glance, inadequate. The described case study shows that nonprofessional tutors may contribute to students' understanding and achievements, and thus, they can serve as an important assisting resource for mathematics teachers, especially in disadvantaged communities. In the study, young adults volunteered to tutor low-achieving students in an urban secondary school. Results showed a considerable mean gain in students' grades. It is suggested that affective factors, as well as the instruction given to tutors by a specialized counselor, have played a major role in maintaining successful tutoring.     

Understanding a high stakes teacher performance assessment in mathematics through elementary prospective teachers’ lived experiences

Journal of Mathematics Teacher Education - Within a global context of more standardization of teacher preparation, programs in the USA are increasingly using standardized teacher performance...