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.     

A novice mathematics teacher educator–researcher’s evolution of tools designed for in-service mathematics teachers’ professional development

This study documented the process of evolution of the continuous design and revision of the tools of a novice mathematics teacher educator–researcher (MTE-R) as he planned and implemented design-based professional development workshops for in-service mathematics teachers in Taiwan. In order to effectively facilitate teachers designing and implementing their own conjecturing activities during the workshops, the MTE-R fostered their professional learning and growth through reflection upon students’ performance. From the perspective of activity theory, this study examined the evolution of the MTE-R’s mentoring activities and tools whose design gradually changed from being based on the literature content toward being learner-centered activities with teachers as learners. Such evolution not only enhanced teachers’ learning outcomes, but also facilitated the MTE-R’s own professional growth in different areas, including mathematics, mathematics learning, mathematics teaching, teacher education, and, in particular, the extrapolation of generic examples for understanding mathematical concepts.     

Understanding change through a high school mathematics teacher’s journey to inquiry-based teaching

This article focuses on an experienced high school mathematics teacher who changed her practice without participating in planned interventions aimed at producing this change. It reports on the nature of the teacher’s change from her perspective and an interpretation and understanding of the change from the researcher’s perspective. It illustrates how meaningful change can occur when the process is initiated and rooted in the teacher’s experience based on a tension in self and/or practice that is personal and real to him or her. It discusses three types of change that are possible depending on the level of engagement of the teacher in professional development opportunities: instrumental change, conceptual change, and foundational change.     

‘The conference was awesome’: social justice and a mathematics teacher conference

Professional development comes in many forms, some of which are deemed more useful than others. However, when groups of teachers are excluded, or exclude themselves, from professional development opportunities, then there is an issue of social justice. This article examines the experiences of a group of teachers from a Māori-medium school who attended a mathematics teacher conference. By analysing the teachers’ sense of belonging through their ideas about engagement, alignment and imagination, we are able to describe how different kinds of relationships influence the inclusion/exclusion process. This leads to a discussion about what can be done by the teachers as well as conference organisers to increase these teachers’ likelihood of attending further conferences in the future.     

Developing “deliberate analysis” for learning mathematics and for mathematics teacher education: how the enactive approach to cognition frames reflection

We illustrate and exemplify how the idea of reflection is framed by the enactive concept of “deliberate analysis”. In keeping with this frame, we do not attempt to define reflection but rather work on the question of “how do we do reflecting?” within such a frame. We set out our enactivist theoretical stance, in particular pointing to implications for how we can learn from experience and showing the role of “deliberate analysis”. We then describe, drawing on education literature, what is generally seen as the purpose of reflection and review some existing conceptualizations in mathematics education, pointing out where we draw distinctions. To illustrate how we do reflecting, we offer excerpts from two lessons of an expert teacher and the writing of a prospective teacher. We exemplify how reflecting as deliberate analysis leads to a way of working with teachers supporting them in handling multiple views and ambiguity, their actions being contingent upon their students’ actions in learning mathematics.     

Developing mathematics teacher knowledge: the paradidactic infrastructure of “open lesson” in Japan

In this paper, we first present a theoretical approach to study mathematics teacher knowledge and the conditions for developing it, which is firmly rooted in a systemic approach to didactic phenomena at large, namely the anthropological theory of the didactic. Then, a case of open lesson is presented and analysed, using this theoretical approach, to show how the format of open lesson contributes to the construction and diffusion of didactic knowledge in the community of mathematics teachers in Japan. The basic idea of this format is that teachers from other schools are invited to observe a class taught by a teacher then participate in a discussion session with him on the details of the lesson. For the case study, we analyse the lesson plan prepared for an open lesson, the observed lesson and the teachers’ discussion. As a result, an open lesson session has been described as a specific form of post-didactic practice related directly to an actual observed lesson, and aiming specifically at elaborating the theoretical aspects of teacher’s didactic practice in the lesson and beyond it.     

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...     

From teacher to teacher trainer

如果你是一位不断超越自我的教师,如果你相信还有更好的、更适合你的职业发展,如果你有勇气面对挑战,那么请坐下和Briony Beaven聊聊,相信她权威专业的分析定会对你的职业生涯有着积极的指导作用。     

How failure shapes teacher identities: Pre-service elementary school and mathematics teachers’ narrated possible selves

This study explored pre-service teachers’ possible teacher selves with respect to how they have been shaped by their experiences of math failure. The study contributes to identity research by applying the theory of possible selves and by comparing and contrasting narrated possible teacher selves of pre-service elementary school teachers and pre-service mathematics teachers. Three categories of possible selves were identified: teacher traits and actions, student strategies, and teacher self-development. How possible teacher selves may inform teacher identity development and teacher preparation in the context of teaching mathematics is discussed, as are methodological considerations for examining narrated possible selves.     

‘Gender games’: a post-structural exploration of the prospective teacher, mathematics and identity

In this article, I draw on post-structural and feminist epistemologies to analyse interview data from two prospective teachers on a primary education degree. Specifically I use Foucauldian critical discourse analysis to discuss the competing discourses of the masculine mathematician and the feminine primary school teacher. The initial purpose of the article is to deconstruct the themes of control, choice and confidence, which I argue are prevalent within mathematical discourses within our current neoliberal society. A further aim of the article is to explore the representation of discourse and data within educational texts, which I do by experimenting with the language used throughout.     

Building the wall brick by brick: one prospective teacher’s experiences with mathematics anxiety

Mathematics education researchers have investigated mathematics anxiety in prospective elementary teachers. While many of these studies have focused on the bodily sensations and emotions of mathematics anxiety, particularly those felt in assessment situations, opportunities remain to investigate how prospective elementary teachers interpret their experiences with mathematics anxiety and connect them over time to compose personal histories of mathematics anxiety. Currently, over 90 % of elementary teachers in US schools are women, and women have been shown to suffer more from mathematics anxiety than do men. In this article, I analyze how one woman prospective elementary teacher described, explained, and related her experiences of mathematics anxiety across her personal narratives of learning mathematics as a K-12 student and of learning to teach mathematics as a college student in a teacher preparation program. My research demonstrates that experiences of mathematics anxiety may persist beyond assessment situations to influence women prospective elementary teachers’ larger mathematical histories. I also show that women prospective elementary teachers may interpret mathematics anxiety as specific fears (e.g., loss of opportunities for social participation) and may develop particular coping strategies related to those fears. Finally, I point out that while a coping strategy may be used consistently across K-12 mathematics learning and undergraduate teacher preparation, and may even offer a woman prospective elementary teacher some relief from mathematics anxiety, it may also limit her mathematics learning and professional development. To conclude, I present implications of my research for mathematics teacher educators.     

The development of a mathematics teacher’s professional identity during her first year teaching

This study is focused on a period that poses several challenges for the development of mathematics teachers’ professional identities and agency: their first year of teaching in schools. During this period, beginning mathematics teachers confront tensions and contradictions among the principles, ideals, and experiences encountered during pre-service education and the demands, and restrictions of their teaching practice in schools. This article approaches this topic by developing an interpretative case study centered on one novice mathematics teacher, Sol. The aim is to describe and understand the development of Sol’s professional identity and agency during her first teaching year. Considering identity development as a diachronic phenomenon, we carry out a narrative analysis of the research data. The findings show that Sol developed her professional identity and agency through a process that gathered together the teaching practices possible inside her school, the positions she could negotiate as a newcomer inside the institution, and the cultural practices and discourses embodied during pre-service education. The results bring to the forefront the profound and tense interactions between the intimate and personal terrain of mathematics teachers and the social and cultural world of the schools where they work. Sol’s case also contributes to understanding the role that a robust pre-service education can play in the development of beginning teachers’ professional identities and in the possibility they could become agents of transformation in their schools.     

Language of learning and teaching in schools: an issue for research in mathematics teacher education?

Most countries in Africa have introduced the use of local languages as the language of learning and teaching for the first few years of schooling. Meaning that for the first few years of learning, learners learn mathematics in their local languages. In response to this, most research has focused on the challenges of using local languages in multilingual mathematics classrooms in schools. Not much research focuses on how the teacher educators prepare the prospective teachers to teach mathematics in multilingual classrooms. To further knowledge in the area of multilingualism in mathematics education, I, in this paper, present an analysis of the literature on multilingual teacher education in Africa. Specifically, I look at what it is that governments in interested countries are doing in teacher education programs in response to the introduction of local languages in schools. From the literature examined, I found that although there is awareness in a number of countries of the need for multilingual teacher education, not much has been done in order to train mathematics teachers on how to use local languages in the classroom. I therefore recommend that, for those countries that have implemented or planning to introduce the use of local languages in schools, some reforms should also take place in teacher education programs in terms of training the prospective teachers how to teach in local languages.     

Primary mathematics teacher education in Australia and China: What might we learn from each other?

The preparation of teachers to teach mathematics to primary school children differs across nations and cultures. This study used mixed methods to examine the basic content knowledge of trainee teachers in Australia and China. A simple test (30 questions) of content based on an international comparative study in mathematics teacher training found that many of the Australian trainee teachers struggled with material that they might be expected to teach, while the Chinese teachers largely demonstrated mastery. The significance of this finding is examined in the context of the teacher preparation programs in two teacher training institutions. Cultural commentary is added by leading academics in each institution. It was found that in the Australian teacher training institution there was a focus on generic skills and relatively limited opportunity to develop trainee teachers’ content knowledge or specific pedagogy. The relevance of the findings is discussed through the framework of different beliefs in the nature of mathematics and mathematics teaching that have been reported to dominate the different educational systems in China and Australia.     

‘Come in with an open mind’: changing attitudes towards mathematics in primary teacher education

Background: The relationship between attitudes and behaviour has led to a focus on the role played by attitudes in the teaching and learning of mathematics.

Purpose: This paper reports on an investigation into student teachers’ self-reported attitudes towards mathematics in the context of a mathematics education programme. The programme had been developed by the authors in response to a new, reformed four-year undergraduate initial teacher education (ITE) for primary teachers in Ireland. The authors aimed to use the feedback to evaluate and develop the course further.

Sample: We report on the attitudes of 345 pre-service primary teachers enrolled in a four-year undergraduate ITE programme. 281 of these participants had matched survey data before and after participating in the mathematics education programme.

Method and Design: Four evaluation criteria were used as a conceptual framework for the evaluation of the mathematics education programme. A multi-method approach was taken in investigating the students’ attitudes to mathematics by using a scale as a quantitative measure of attitude alongside open-ended survey items that provided qualitative insights into changes in attitudes.

Results and conclusions: Results from the survey data suggested overall that the participants’ attitudes towards mathematics were more positive after they had experienced the mathematics education programme. Overall, the written responses suggested that according to self-reportage, participants perceived that participation in the mathematics education programme had affected their attitudes towards mathematics positively. Comments indicated that the ‘small group’ tutorial structure was particularly well received and was associated with opportunities to actively engage, explore, interact and reflect. Suggestions offered by the participants will be used to inform planning and development of the mathematics programme.     

My teacher

My name is Yanjiaai. I am 14 years old. I study in YuYing School. My Chinese teacher and English teacher is Miss Du, she is tall and thin, and she is very strict. My math teacher is Miss Zhang, she is short and strong, she is very striek too. But they are very nice, I love my teachers![第一段]