Challenges of critical colleagueship: examining and reflecting on mathematics teacher study group interactions

This article examines mathematics teacher collegiality by focusing on both the ways in which teachers interacted as critical colleagues in a long-term professional development project and the evolving role of the teacher–educator–researcher as the facilitator of this project. The professional development collaboration comprised two phases: one focused on reading classroom discourse literature and one focused on supporting each other through cycles of action research related to mathematics classroom discourse. Lord’s (1994) critical colleagueship framework is used to examine how a study group of middle-grades (ages 11–16) mathematics teacher–researchers took (or did not take) a more critical stance toward their own teaching practice and that of their colleagues. We found that challenging interactions were related to instances in which the teachers interacted as critical colleagues and were marked by particular features including the use of particular words and the use of personal experience as a form of evidence. We present the ways in which we came to understand what it might look like to scrutinize one’s practice and findings related to the development of this type of collegiality across the two different phases of this project. We end with a section in which the teacher–educator–researcher who facilitated the professional development project reflects on the ways in which the analysis caused her to reconsider both the nature of argumentation in mathematics study group settings and what implications this has with respect to her own practice as a facilitator.     

Changing roles and identities in the construction of a community of mathematical inquiry

In the current shifts in mathematics classrooms, teachers are challenged to use effective pedagogy to develop inquiry communities in which all participants are offered opportunities to engage in the reasoning discourse of proficient mathematical practices. The challenge for teachers is to know how to implement these pedagogical changes. This article outlines how a teacher and researcher worked together in a collaborative partnership using a purposely designed communication and participation framework as a tool to scaffold development of collective reasoning in the inquiry community. The findings illustrate the interconnections between the teacher’s beliefs, past experiences, and current, and future expectations for her diverse students. Explanations are provided of how different, often conflicting, voices emerged including one that drew on the teacher’s cultural knowledge. This provided many learning opportunities for the researcher as the teacher developed her students’ voices in culturally appropriate ways.     

Teachers and children’s loneliness: A review of the literature and educational implications

The present study is a critical review of the research literature concerning the links between the teacher and children’s loneliness. More specifically, the issue of children’s loneliness in the school is summarized. Research data documenting that loneliness is a risk factor in children’s development are briefly reviewed. Next, hypotheses and research data are reviewed on the following aspects: (I) the association between children’s loneliness and the quality of the teacher-child relationship from the viewpoint of attachment theory; (II) the teacher’s attitude toward children’s loneliness and his or her perceptions of his or her effectiveness in dealing with it; (III) the teacher’s ability to identify lonely children; and (IV) the children’s perceptions of the role of the teacher in the emergence and alleviation of their loneliness. Finally, on the basis of the existing data, critical questions are formulated, suggestions for future research are made, and educational implications for teacher training and school-based interventions are discussed.     

Voices of Identity in a Chicana Teacher’s Occupational Narratives of the Self

The research area of teacher narrative inquiry has identified links between the personal and professional identities of teachers. Although teacher narrative inquiry takes narrative texts as its data, insufficient attention has been given to the functions of narratives as forms of discourse that are utilized in the construction of identity. In the present study, the concept of narrative identity guided the analysis of a Chicana teacher’s personal experience narratives. The analysis of six narratives told during interviews conducted across a year’s time examined how the voices in the narratives, communicated through reported speech, represented the relational, discursive, and ideological social worlds within which the Chicana teacher’s occupational identity was shaped. The reported speech in the Chicana teacher’s narratives quoted the voices of significant Others, such as her family members and the parents of her students. The Chicana teacher’s narratives crafted her response to the tensions and challenges that these voices represented to her emerging occupational identity as a bilingual education teacher. In her narratives, the Chicana teacher also constructed continuity across the distinct phases of her occupational identity as a bilingual teacher that included transitions from college student, to novice bilingual teacher, to experienced bilingual teacher. René Galindo is an Associate Professor in the School of Education and Human Development at the University of Colorado at Denver and has a Ph.D. from The Ohio State University. His recent publications on language policy, bilingual education, and immigration politics have appeared in the Harvard Latino Law Review, The Journal of Latinos and Education, and Latino Studies.     

Mediators of a Preservice Teacher’s Use of the Inquiry-Application Instructional Model

This paper reports on one preservice teacher’s use of the Inquiry-Application Instructional Model (I-AIM) to plan and teach an instructional sequence on photosynthesis to 5th-grade students. Analysis of the preservice teacher’s planned and enacted instructional sequences and interviews shows that the preservice teacher was successful in leveraging the conceptual change but not the inquiry aspects of the I-AIM. The mediators of this preservice teacher’s use of the I-AIM included her approach to teaching science, the curriculum materials she had available, and the meanings she made of the underlying frameworks. Understanding the mediators of preservice teachers’ uses of instructional models can inform teacher educators’ approaches to supporting preservice teachers in using instructional models for organizing science instructional sequences.     

Exploring a Science Teacher’s Uncertainty with Integrating Engineering Design: An Action Research Study

This study examines a fifth grade science teacher’s attempts at integrating engineering design using the construct of uncertainty. Collaborative action research served as a supportive mechanism to uncover and confront the teacher’s uncertainties. Data were gathered through semi-structured interviews, reflections, classroom observations, lesson plans, and student work. Data analysis entailed the use of grounded theory. Findings from this study revealed that teaching science through engineering design is both challenging and problematic. Underpinning the teacher’s pedagogical experiences was the constant force of uncertainty, in various forms, and how her sense of doubt was beneficial rather than problematic.     

Teaching students to think critically about science and origins

In David Long’s article, Scientists at Play in a Field of the Lord, he studies the discourse between a network of regional scientists, atheists, activists and evolutionists at the opening of The Creation Museum on Memorial Day, 2007. This review essay examines the teaching of evolution through the teacher’s ‘lens of empathy’ and also considers a ‘pupil centeredness’ approach. As a practicing science educator, I have found it paramount to take into consideration my students’ backgrounds and their families’ beliefs in order to understand their preconceived notions about the origins of life. By teaching evolution as ‘a theory with both facts and fallacies’ only then does it become an opportunity for critical thinking that fosters growth and risk taking in a safe environment. Most times students hear evolution preached as a one-sided lecture by teachers who believe it’s “my way or the highway” and leave little or no room for dialogue. I believe that a teacher’s job is to stay updated with current research on the theory of evolution and then present all the information to students in a way that creates personal opportunities for them to adjust their existing schema without demeaning them, their ideas, or their faith or belief system. This not only shows value, compassion and tolerance for them as thinking humans, but also allows them opportunities to develop critical thinking, which helps to shape whom they become as adults.     

The multiple voices of a mathematics classroom community

Several mathematics educators have expressed their concern about conflicting visions of educational reform among parents and teachers, which could result in the emergence of multiple voices in discussions of achievement and instruction. The aim of this article is to examine the multiple voices of educational reform in the discourse of a third grade classroom community. In order to achieve our aim, we integrated the social and the individual as well as the past, present, and future in our analysis of the discourse in this classroom community using theoretical frameworks and methods from cultural psychology. Although our analyses focused on the classroom teacher, we employed units of analysis capable of bridging the individual and her social context. We began our analysis by focusing on a sample of whole-class discussions of students’ strategies for solving multi-digit word problems. This analysis isolated two distinct voices: one that occurred during discussions of students’ invented strategies and the other that emerged during talk about standard algorithms. We extended our analysis to include information about the historical, social, and institutional context of the classroom community in order to understand the origins and functions of these two voices. This additional information helped us appreciate the interconnections between the teacher’s personal feelings, beliefs, recollections, and expectations; and her interpersonal transactions with her students, their parents, and other educators. We concluded with a discussion of the implications of the study for understanding one of the dilemmas of educational reform and for advancing research in classroom discourse. This revised version was published online in July 2006 with corrections to the Cover Date.     

Learning from Action Research About Science Teacher Preparation

In this article, we present a case study of a beginning science teacher’s year-long action research project, during which she developed a meaningful grasp of learning from practice. Wendy was a participant in the middle grade science program designed for career changers from science professions who had moved to teaching middle grade science. An extended action research experience in the second year of induction proved valuable to her in learning how to modify her teaching to reach her goal, using evidence of student learning as her guide. This article closes with reflections on the value of extended action research within science teacher preparation, particularly early in one’s career, and explores the promise for ongoing practice-based professional development throughout a teacher’s career.     

A primary teacher’s mathematics teaching: the development of beliefs and practice in different “supportive” contexts

This article refers to a longitudinal case study of a primary school teacher over a period of 4 years. The focus is on the development of the teacher’s beliefs regarding mathematics teaching and learning from the last year of her university studies up to the third year of teaching mathematics in school. This development has been investigated within three different contexts, which have been distinguished in terms of the kind of support provided to this teacher. Two dominant beliefs emerged which have been traced through the period of the study from both the teacher’s reflections and actions. The first belief drew on the idea that what was considered an easy mathematical task by an adult could also be easily understood by children, while the second was that children learn mathematics through their actual involvement in a variety of teaching activities. The results indicate the way that teacher’s experiences from her university studies, actual classroom practice and inservice education interact and influence her beliefs and professional development.     

“Can any fraction be turned into a decimal?” A case study of a mathematical group discussion

This case study examines two days of teacher-led large group discussion in a fifth grade about a mathematical question intended to support student exploration of relationships among fraction and decimal representations and rational numbers. The purpose of the analysis is to illuminate the teacher’s work in supporting student thinking through the use of a mathematical question embedded in a position-driven discussion. The focus is an examination of the ways that the emergence of mathematical ideas is partially shaped by complex interactions among the mathematical contents of the question, the inherent properties of the discourse format and participant structure, and the available computational methods. The teacher’s work is conceptualized in terms of actions and practices that coordinate these diverse tools, in constant response to students’ concurrent use of them. This revised version was published online in July 2006 with corrections to the Cover Date.     

Connecting Literacy and Science to Increase Achievement for English Language Learners

Giving students a purpose and a passion for sharing their thinking through authentic learning experiences and giving them tools for writing through which they can risk new vocabulary, new language, and new thought is critical for the linguistic and cognitive development of students. Furthermore, students develop a deep understanding of content they have heard and read when given time to process information through writing and speaking. This article describes one teacher’s quest to identify and implement effective research-based instructional strategies that she could use to successfully support her kindergarten ELL students during science instruction.     

Looking in a science classroom: exploring possibilities of creative cultural divergence in science teaching and learning

Worldwide proliferation of pedagogical innovations creates expanding potential in the field of science education. While some teachers effectively improve students’ scientific learning, others struggle to achieve desirable student outcomes. This study explores a Taiwanese science teacher’s ability to effectively enhance her students’ science learning. The authors visited a Taipei city primary school class taught by an experienced science teacher during a 4-week unit on astronomy, with a total of eight, 90-minute periods. Research methods employed in this study included video capture of each class as well as reflective interviews with the instructor, eliciting the teacher’s reflection upon both her pedagogical choices and the perceived results of these choices. We report that the teacher successfully teaches science by creatively diverging from culturally generated educational expectations. Although the pedagogical techniques and ideas enumerated in the study are relevant specifically to Taiwan, creative cultural divergence might be replicated to improve science teaching worldwide.     

The Negotiated Project Approach: Project-Based Learning without Leaving the Standards Behind

The purpose this study was to explore how a veteran first-grade teacher collaboratively negotiated the implementation of a project with her students while, at the same time, addressed grade-level standards. Researchers investigated the teacher’s strategies for integrating the district’s standards into project topics, investigative activities, and final presentations. They also examined the teacher’s strategies for promoting students’ participation in project planning and independent problem-solving. Data sources included field notes, teacher interviews, videotaped observations, and transcribed teacher, and student interviews. As an extension to teacher-directed approaches to implementing the project approach, the results of this study revealed a collaborative approach to implementing projects that allowed the teacher and the students to work together for project planning and learning. The teacher felt successful with meeting grade level learning needs, and the students were given the opportunity to fuel their learning by expressing their natural interests and curiosities, and become problem solvers.     

An integrative model of scholastic judgments: Pupils’ characteristics, class context, halo effect and internal attributions

This article proposes a model that integrates some of the determinants of scholastic judgment. The model is based on the assumption that a teacher’s judgment in a particular discipline is influenced by different variables: the pupil’s actual performance in the discipline, his/her actual performance in other disciplines (halo effect), the average performance of the class in the discipline (class context effect), the pupil’s individual characteristics such as whether he/she has ever repeated a grade and the teacher’s perception of the pupils’ causal explanations. Furthermore, the model proposes that a teacher’s perceptions are related to the pupil’s spontaneous expression of causality, which in turn is influenced by the pupil’s knowledge of the social value of causal explanations. In order to test the validity of the proposed model, the authors conducted a study in a real classroom setting on a population of 663 pupils from 38 classes (3rd grade) and their respective teachers. Path analyses showed that the theoretical model fit the data to a satisfactory extent. However, a comparison of the fit indexes of the theoretical model and two alternative models (one nonhierarchical and one hierarchical) showed that the initial theoretical model could be significantly improved by additional paths.     

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.     

Rereading metaphors as cultural texts: A case study of early childhood teacher attrition

This article revisits a phenomenological case study in which I used metaphor to explore, over a seven-year span, the blossoming and wilting of an early childhood teacher’s career due to the complex interplay between a range of personal, relational and contextual influences (Sumsion 2002). Following Kamler (2001), I now bring a critical lens to my rereading of Sarah’s metaphors as cultural texts that reflect the cultural storylines, positionings and practices that Sarah perceived were available to her. I argue that deconstructing these cultural texts draws attention to the limitations of discourses commonly available to preservice and early career teachers. Implications for teacher educators are discussed.     

The influence of theoretical tools on teachers’ orientation to notice and classroom practice: a case study

Assumptions about the construction and the transmission of knowledge and about the nature of mathematics always underlie any teaching practice, even if often unconsciously. I examine the conjecture that theoretical tools suitably chosen can help the teacher to make such assumptions explicit and to support the teacher’s reflection on his/her previous as well as future educational practice. In particular, I show how an epistemological vision of mathematics in resonance with a model of cognitive dynamics can work as a powerful tool to support a teacher’s stable and autonomous attitude of noticing. To support this argumentation, I present some experimental data concerning a case study of one teacher. Through a methodological frame suitably arranged I try to describe how the teacher’s ability to rely on this particular theoretical frame affects: the choice of the global goals in mathematics education; the design of educational interventions; the interpretation of learners’ cognitive behaviours; and the assessment.     

What Can the Teacher Learn in the Classroom?

Our research is concerned with teacher’s knowledge, and especially with teacher’s processes of learning, in the classroom, from observing and interacting with students’ work. In the first part of the paper, we outline the theoretical framework of our study and distinguish it from some other perspectives. We argue for the importance of distinguishing a kind of teacher’s knowledge, which we call didactic knowledge. In this paper, we concentrate on a subcategory of this knowledge, namely observational didactic knowledge, which grows from teacher’s observation and reflection upon students’ mathematical activity in the classroom. In modeling the processes of evolution of this particular knowledge in teachers, we are inspired, among others, by some general aspects of the theory of didactic situations. In the second part of the paper, the model is applied in two case studies of teachers conducting ordinary lessons. In conclusion, we will discuss what seems to be taken into account by teachers as they observe students’ activity, and how in-service teacher training can play a role in modifying their knowledge about students’ ways of dealing with mathematical problems.