Plotting intersections along the political axis: The interior voice of dissenting mathematics teachers

The supposed apolitical nature of mathematics is an institutional frame that functions to sustain specific power structures within schools. This paper disrupts the common assumption that mathematics (as a body of knowledge constructed in situated historical moments)is free from entrenched ideological motives. Using narrative inquiry, the paper examines the ways in which novice mathematics teachers negotiate the intersection of curriculum and institutional politics. After outlining a theoretical framework, the paper performs a story entitled ‘political text’ which reveals the plaintive, dissenting voice of a novice teacher as she negotiates the friction between her life history and the ossified canonicity of mathematics curriculum. Through the critical and reflexive voice of the novice teacher, the naturalized concepts of counting and measurement are playfully revisioned. The frequent silencing of such oppositional readings underscores the deeply embedded conflict between voice and text in the contemporary mathematics classroom.     

Professional primary school teacher identity development: a pursuit in line with an unexpressed image

The results presented in this article are taken from a case study of novice primary school mathematics teachers’ professional identity development from the perspective of the teachers themselves. The empirical material was collected through self-recordings, observations and interviews. The results show how the professional identity development of these novice teachers becomes a pursuit in line with their image of a primary school teacher. To develop a sense of themselves as primary school teachers they need to establish their own criteria - individual (including graduation and personal knowledge) and social (the ability to work in one school, have colleagues and have a class of their own for which they do the planning and teaching). These criteria are shown to be both a precondition for and a part of professional identity development. The novice teachers’ image of what it means to be a primary school teacher directs their actions and becomes the goal of their professional identity development. Because of its high impact, student and novice teachers’ image of primary school teachers ought to be made visible in both teacher education and teacher induction.     

Using Student Video Cases to Assess Pre-service Elementary Teachers’ Engineering Teaching Responsiveness

Our study addresses the need for new approaches to prepare novice elementary teachers to teach both science and engineering, and for new tools to measure how well those approaches are working. This in particular would inform the teacher educators of the extent to which novice teachers are developing expertise in facilitating their students’ engineering design work. One important dimension to measure is novice teachers’ abilities to notice the substance of student thinking and to respond in productive ways. This teacher noticing is particularly important in science and engineering education, where students’ initial, idiosyncratic ideas and practices influence the likelihood that particular instructional strategies will help them learn. This paper describes evidence of validity and reliability for the Video Case Diagnosis (VCD) task, a new instrument for measuring pre-service elementary teachers’ engineering teaching responsiveness. To complete the VCD, participants view a 6-min video episode of children solving an engineering design problem, describe in writing what they notice about the students’ science ideas and engineering practices, and propose how a teacher could productively respond to the students. The rubric for scoring VCD responses allowed two independent scorers to achieve inter-rater reliability. Content analysis of the video episode, systematic review of literature on science and engineering practices, and solicitation of external expert educator responses establish content validity for VCD. Field test results with three different participant groups who have different levels of engineering education experience offer evidence of construct validity.     

Building on student mathematical thinking in whole-class discourse: exploring teachers’ in-the-moment decision-making,interpretation, and underlying conceptions

Often, mathematics teachers do not incorporate whole-class discourse of students’ various ideas and solution methods into their teaching practice. Particularly complex is the in-the-moment decision-making that is necessary to build on students’ thinking and develop their collective construction of mathematics. This study explores the decision-making patterns of five experienced Dutch mathematics teachers during their novice attempts at orchestrating whole-class discourse concerning students’ various solution methods. Our goal has been to unpack the complexity of their in-the-moment decision-making during whole-class discourse through lesson observations and stimulated recall interviews. We investigated teacher decision-making adopting a model that combines two perspectives, namely (1) we explored student-teacher interaction with regard to building on student thinking and (2) we explored how the teachers based decisions during such interaction upon their own personal conceptions and interpretation of student thinking. During these novice attempts at orchestrating whole-class discourse, the teachers created many situations for students to articulate their thinking. We found that at certain instances, teachers’ in-the-moment decision-making resulted in opportunities to build on student thinking that were not completely seized. During such instances, the teachers’ decision-making was shaped by the teachers’ own conceptions of the relevant mathematics and by teacher conceptions that centered around student understanding and mathematical goals. Our findings suggest that teachers might be supported in their novice attempts at whole-class discourse by explicit discussion of the mathematics and of their conceptions with regard to student understanding and mathematical goals.

     

Stimulating constructivist teaching styles through use of an observation rubric

One of the difficult transitions for new secondary science teachers is that from novice teacher to master teacher. Often this process involves the novice in adopting survival strategies for teaching rather than those advocated by the National science education standards or the Project 2061 benchmarks. This study reports on an instrument that has been shown to be useful in helping novice teachers reflect on and change their science teaching praxis. Based on the interpretation of this case study, it appears to have the potential to significantly affect the development of secondary science teachers by providing a readily accessible model of instruction that aligns with student‐centered models of instruction advocated by the Standards and Project 2061. © 1999 John Wiley & Sons, Inc. J Res Sci Teach 36: 955–971,1999     

Gender and Inquiry: an investigation into identifying and defining the role of inquiry in higher-order thinking

This paper studies differences between girls ‘ and boys ‘ perceptions of mathematical and scientific higher-order thinking, ways of identifying when higher-order thinking occurs, and methods of mathematical and scientific inquiry that assist in developing higher-level thinking in both young students and pre-service teachers. Participants included 17 pre-service teacher candidates (16 female, 1 male) enrolled in an integrated elementary mathematics and science methods course, and 102 elementary students from large, metropolitan schools (52 females and 50 males from lower-middle- and high-middle-class homes). A 15-item Likert-style rating scale instrument was used. Qualitative measures including observations, interviews and reflections were completed in conjunction with the more quantitative rating scale measure to triangulate the design. Pre-service teacher candidates rated the significance of childrens’ responses and reflected on findings. Results revealed similar ratings between genders and significance on items relating to perceptions of what science and mathematics are, whether girls should be scientists, and objects/manipulatives versus paper/pencil tasks in mathematics.     

Novice mathematics teachers create themselves

This study presents a qualitative research based on three narratives written by novice mathematics teachers. We examine their unique professional world during their first year of work. The methodology of narrative framework, on which this article is based, helps to gain better understanding of the need for novice mathematics teachers to have pedagogical knowledge. Findings reveal three themes of pedagogical knowledge: the attitude of novice teachers toward students with difficulties in mathematics; parents’ expectations of and involvement with novice mathematics teachers; teacher–student relations. The implications of the findings show that novice mathematics teachers are required to have not only content knowledge of mathematics but also, and above all, pedagogical knowledge. The implications of this study enable reassessment of emphases required in training mathematics teachers, as well as the assistance and support they need, especially as they launch their careers.     

Reconstructing elementary teacher candidates' understanding of mathematics and science content

This paper examines the mathematics and science content knowledge of elementary teacher candidates. Data are presented which demonstrate that many elementary teacher candidates enter teacher education seriously deficient in their understanding of the subject matter they will teach to elementary students. The authors argue that these candidates are weakly prepared in content because of deficiencies in the pedagogy practiced in traditional didactic mathematics and science courses. They describe a conceptual approach to teaching mathematics and science content and contrast this with a didactic approach. Data are presented which demonstrate that these conceptual approaches significantly improved novice teachers understanding of content.     

Inspiring Instructional Change in Elementary School Science: The Relationship Between Enhanced Self-efficacy and Teacher Practices

This longitudinal study examined the extent to which teachers’ participation in a 3-year professional development program enhanced their self-efficacy and prompted changes in science instruction in the early elementary grades. The study used a mixed-methods design, and included 39 teachers who taught in kindergarten, first grade, or second grade classrooms in rural school districts. Data sources, administered pre-program and at the end of each year, included a self-efficacy assessment and teacher survey. Interviews and classroom observations provided corroborating data about teachers’ beliefs and science instruction. Results showed significant increases in teachers’ overall self-efficacy in teaching science, personal efficacy, and outcome expectancy efficacy during the 3 years. Gains in self-efficacy were correlated with changes in reported instructional practices, particularly student participation activities. However, changes in self-efficacy tended not to be correlated with changes in instructional time. Contextual factors beyond teachers’ direct control, such as curricular and testing requirements in mathematics and language arts influenced time allotted to science instruction.     

Understanding the Induction of a Science Teacher: The Interaction of Identity and Context

The demanding first years of teaching are a time when many teachers leave the teaching profession or discard the reform-minded practice emphasized in teacher preparation. If we are to lessen teacher attrition and more effectively support teachers during their development, a better understanding of what occurs during their induction into the profession is needed. The question that drove this research was what factors influence how a beginning science teacher negotiates entry into teaching? Specifically, we sought to understand how a beginning science teacher’s identities interact with the teaching context; how this interaction shapes his use of reform-minded teaching practice; and how the negotiation of identity, context, and practice influence a novice teacher’s employment decisions. The study involved 2 years of data collection; data included classroom and school observations, questionnaires, interviews, and teaching artifacts (such as lesson plans and assessments). The results demonstrate how conflicts in identities, institutional expectations, and personal dispositions of this novice influenced his transition in becoming a member of his school community. Implications of these interactions for teacher preparation and support are provided.     

“I am Out of My Comfort Zone”: Self-study of the Struggle of Adapting to the Professional Identity of a Teacher Educator

It is often assumed that graduate students will develop as teacher educators simply by participating in a doctoral program. However, research has shown that doctoral students find the shift from teaching K-12 to preparing teachers to be a difficult transition. Within the context of a doctoral program community of practice established specifically for the purpose of examining this transition through self-study research, we sought to understand the shift in identity of a novice teacher educator working as an early field experience instructor with elementary science and mathematics preservice teachers. Our findings indicate that the process of self-study research, when supported within a community of practice, offered Jared the opportunity to recognize different aspects of his shifting professional identity, the dominance of particular aspects of his identity in certain situations, and the impact this was having on his students’ development as teachers. Developing this awareness of his adapting professional teaching identity from a classroom teacher to a teacher educator should help as he continues to develop his knowledge and skills working with teachers in different contexts and at different grade levels. Implications for how teacher education programs could better support the professional identity development of novice teacher educators through the use of a self-study focused community of practice are discussed.     

PROFESSIONAL NOTICING PRACTICES OF NOVICE MATHEMATICS TEACHER EDUCATORS

The focus on professional noticing in mathematics education has recently gained increased interest as researchers work to understand how and what is noticed and how this translates into practice. Much of this work has focused on the professional noticing practices of inservice teachers and preservice teachers, with less attention focused on those educating teachers. This research explores how novice mathematics teacher educators professionally notice as they engage in teaching experiments and create models of student’s mathematical thinking. Findings indicate the novice teacher educators are including some evaluative comments in their professional noticing practices but lack in-depth interpretive analysis about student thinking and rarely make connections between student’s thinking and the broader principles of teaching and learning. These findings provide evidence for the importance of supporting teacher educators with developing their abilities to professionally notice.     

Preservice teachers’ expressed awarenesses: emerging threads of retro-spection of learning and pro-spection of teaching

In this paper, we report an enquiry into elementary preservice teachers’ learning, as they engage in doing mathematics for themselves. As a group of researchers working in elementary Initial Teacher Education in English universities, we co-planned and taught sessions on growing pattern generalisation. Following the sessions, interviews of fifteen preservice teachers at two universities focused on their expressed awareness of their approach to the mathematical activity. Preservice teachers’ prospective planning and post-teaching evaluations of similar activities in their classrooms were also examined. We draw on aspects of enactivism and the notion of reflective “spection” in the context of teacher learning, tracing threads between preservice teachers’ retro-spection of learning and pro-spection of teaching. Our analysis indicates that increasing sensitivity to their own embodied processes of generalisation offers opportunities for novice teachers to respond deliberately, rather than to react impulsively, to different pedagogical possibilities. The paper contributes a new dimension to the discussion about the focus of novice elementary school teachers’ retrospective reflection by examining how deliberate retrospective analysis of doing mathematics, and not only of teaching actions, can develop awarenesses that underlie the growth of expertise in mathematics teaching. We argue that engaging preservice teachers in mathematics to support deliberate retrospective analysis of their mathematics learning and prospective consideration of the implications for teaching can enable more critical pedagogical choices.

     

Exploring teachers’ meta-strategic knowledge of science argumentation teaching with the repertory grid technique

ABSTRACT

This study investigated two science teachers’ meta-strategic knowledge (MSK) of argumentation teaching by applying the repertory grid technique (RGT). One teacher was a novice, while the other was experienced in teaching argumentation. Using the RGT, we elicited the objectives and strategies of the two teachers regarding their argumentation teaching involving two social scientific issue (SSI) scenarios. The results showed that the experienced teacher had more varied and organised MSK for teaching argumentation than the novice teacher. Meanwhile, the novice teacher indicated a belief that the learning of argumentation should occur in a more student-centred manner, rather than relying on a traditional lecture-based environment. Consequently, she spent a considerable amount of time engaging students with their peers’ ideas through discussion and collaboration. On the other hand, the experienced teacher noticed that most of students had the ability to generate arguments, but that few knew how to argue based on evidence. Therefore, she helped students to collect data from various resources and suggested that they construct their own knowledge framework in order to improve students’ ability to incorporate their understanding of scientific knowledge into scientific argumentation.     

Exploring How to Model Formative Assessment Trajectories of Posing‐Pausing‐Probing Practices: Toward a Teacher Learning Progressions Framework for the Study of Novice Teachers

A robust body of evidence supports the finding that particular teaching and assessment strategies in the K‐12 classroom can improve student achievement. While experts have identified many effective teaching and learning practices in the assessment for learning literature, teachers’ knowledge and use of “high leverage” formative assessment (FA) practices are difficult to model in novice populations. By employing advances in construct modeling, the theoretical underpinnings of learning progressions research, and four principles of evidence‐centered design, teacher educators along with psychometricians can test hypotheses about teacher learning progressions. Utilizing an FA moves‐based framework, the article examines how beginning teachers’ posing, pausing, and probing practices align with five key strategies of FA. Examples of construct maps, instructional tasks, and turns of talk analysis using scoring guides are provided from an empirical study of novice science preservice teachers in a high‐needs school district.     

In Pursuit of a Connected Way of Knowing: The Case of One Mathematics Teacher

In this paper, we offer illustrations of a mathematics teacher’s difficulties with content knowledge when trying to find connections between school mathematics and science; we do so by describing the development of this teacher’s thinking and learning in her pursuit of connections between the concepts of slope of a line and density of matter. The paper is based on a sub-study that is part of a larger Colombian project, PROMESA (Creating Science and Mathematics Connected Learning Experiences that Open Opportunities for the Promotion of Algebraic Reasoning), which incorporated a Professional Learning Programme (PLP) seeking to integrate school science and mathematics teachers into working teams, in order to create science and mathematics connected learning experiences that considered the promotion of algebraic reasoning. The ‘challenging questions’ that emerged for this teacher, during the workshops of the induction stage of the PLP, became the driving force for her continued engagement in learning mathematics content in a connected way, as opposed to the compartmentalised content-item thinking that she had experienced as a school student. We provide illustrations of first steps in the development of a teacher’s mathematical understanding, which can support growth of mathematical knowledge for teaching.     

Implications of a comparative assessment of exemplary and novice elementary teachers

Conclusion This study points to the fact that it would be practical to compare and assess the instructional strategies of exemplary and novice elementary science teachers using a set of criteria derived from published teacher effectiveness studies. According to this study there are differences ranging from significant to null between the instructional behaviors of exemplary and novice teachers, and it indicates that it may not be appropriate to rely entirely upon the findings of individual teacher effectiveness studies to prepare effective preservice teachers. Science teacher educators need to focus more directly on the differences in instructional strategies between the exemplary and novice teachers and inquire further into determining the causes for the differences. Hurd (1982) reported that about half of the elementary teachers studied believe that their preservice education failed to prepare them to teach science in real classrooms. If what separates exemplary teachers from novices can be clearly identified, then the science teacher educator’s task of preparing effective preservice teachers will be an easier one. Then it would be also possible to develop effective preservice science teacher education programs more congruent with exemplary science teaching practices and augment the existing science teacher education knowledge base through further research.     

Linking reform-oriented experiences to teacher identity: The case of an elementary mathematics teacher

Novice teachers often have difficulty transferring what they learn in teacher education programs to classroom practice. This is especially true for elementary school teachers who are expected to teach mathematics with reform-oriented methods. The purpose of this longitudinal case study was to examine the experience of one novice elementary school teacher over a 3-year period, and understand the factors that supported her to enact a reform-oriented practice in mathematics as she transitioned from being a preservice to inservice teacher. Influential mathematics education models, her commitment to learning, and school-based contexts affected her teaching identity and practices. To conclude, an argument is made for teacher education experiences to explicitly address mathematics teacher identity to support the enactment of reform-oriented practices.     

EVALUATING SELECTED PERCEPTIONS OF SCIENCE AND MATHEMATICS TEACHERS IN AN ALTERNATIVE CERTIFICATION PROGRAM

In 2003 the University of Missouri (with the aid of US National Science Foundation funding) initiated an alternative certification program (ACP) to address the well-documented need in the US for increasing the quantity and quality of mathematics and science teachers for the middle and secondary levels. Nationwide current certification programs do not provide the quality and quantity of mathematics and science teachers needed in schools. As a result most American states have begun to experiment with ACPs as a way to address the shortage of math and science teachers. To evaluate the success of this program, we collected data from ACP participants regarding perceived preparation, self efficacy, and outcome expectancy at three time points in the program. State standards for beginning teachers were used to construct a perceived preparation instrument. Analysis of data suggests that over time, ACP participants exhibited an increasingly positive view toward their preparation for classroom teaching, as well as increased self efficacy. However, there was little change in the students’ outcome expectancy over time. In this article we share details of the unique ACP program and we describe steps taken to collect and evaluate a project data set. Our work provides useful guidance to researchers and practitioners in the field of science and mathematics teacher education.     

Developing a material-dialogic approach to pedagogy to guide science teacher education

Abstract

Dialogic pedagogy is being promoted in science teacher education but the literature on dialogic pedagogy tends to focus on explicit voices, and so runs the risk of overlooking the important role that material objects often play in science education. In this paper we use the findings of a teacher survey and classroom case study to argue that there is a gap in the way that science teachers think about the role of materials and that this could be addressed by changes in the theory base of teacher training, augmenting the current constructivist and dialogic theory with the addition of new materialism in the form of Barad’s ‘Agential Realism’. Our findings suggests that science teachers do not regularly explicitly consider the relationship between the material resources they deploy and the dialogic learning taking place. We argue that science teacher training and professional development should pay more attention to the material-dialogic relationships in the learning that emerges in science classrooms.