Exploring prospective teachers' critical thinking: Case-based pedagogy and the standards of professional practice

This qualitative constructivist research study employed a unique professional case-based pedagogy to investigate how concurrent Education undergraduate students made sense of the complex dilemmas inherent in the cases and in particular, the factors that influenced their critical thinking processes. The paper identifies three core categories that emerged in participants' critical reflections. Further, it discusses the process of participant engagement as they reflected upon the complexities of each case to arrive at new levels of awareness regarding their professional conduct, responsibilities, and behaviour in view of the Standards of Professional Practice. Last, it elaborates upon the progression of participants' thinking processes via this multi-modal approach.     

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.     

Developing interactive mathematical talk: investigating student perceptions and accounts of mathematical reasoning in a changing classroom context

In recent years there has been an increased focus on the need for teachers to develop learning communities where all students have opportunities to engage in interactive discourse. However, there are few studies that focus on student perceptions and accounts of mathematical reasoning in classrooms with interactive mathematical talk as a focus of reform. A framework of teacher actions to develop classroom and mathematical practices was developed from classroom observations. Photo-elicitation interviews were used to investigate student perception and accounts of mathematical explanations and reasoning. The professional development programme, shifts in the teacher actions, and subsequent shifts in student perception and their recall of their own and peers’ mathematical reasoning over a school year are highlighted. Developing interactive dialogue in the classroom took considerable time and attention. Facilitating change to the way students both participated and understood their obligations required constant, ongoing attention to both the classroom and mathematical practices.     

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.     

An interrogation of the role of critical thinking in English language pedagogy in Chile

The present study aims to critically interrogate the role of Critical Thinking (CT) in English language education in Chile through the analysis of teacher educators’ and postgraduate students’ perceptions and understandings of CT in relation to their academic trajectories through university. Five postgraduate students and five teacher educators from three different Masters of Teaching English as a Foreign Language (MTEFL) programs agreed to take part in the research. Informed by a qualitative paradigm, semi-structured interviews were conducted aimed mainly at (1) unpacking teacher educators’ and postgraduate students’ understandings of CT; (2) investigating postgraduates’ views of the place of critical thinking in their English teacher education training; (3) examining the ways in which teacher educators deal with CT in their pedagogies; and (4) identifying students’ preparedness to approach reading and writing critically, as viewed by both groups of participants. Analysis of responses revealed, on the one hand, students’ recognition of CT skills as necessary to succeed in academic life and, on the other, great concerns for the limited importance accorded to teaching these skills in teacher education courses. Teacher educators’ responses generally showed an increasing interest in trying to incorporate the teaching of CT skills in their pedagogies, but admitted to an overall lack of consistency in the implementation process. The paper concludes with critical questions about the perceived pedagogical mismatches between teacher educators’ and postgraduate students’ perceptions of the role of CT in their academic journeys, and about the role of Chilean teacher education programs in addressing these issues.     

Situated learning theory and the pedagogy of teacher education: Towards an integrative view of teacher behavior and teacher learning

Lave and Wenger have greatly influenced existing views of learning and teaching, but relatively little has been written about the implications for the understanding of teacher behavior and teacher learning, and for the pedagogy of teacher education. Based on their work, a three-level model of learning is used to analyze the friction between teacher behavior in practice and the wish to ground teachers' practices in theory. Supported by empirical data on teacher learning and brain research, this model reconciles the situated learning perspective with traditional cognitive theory, and leads to concrete implications for the pedagogy of teacher education.     

“Everything goes smoothly”: A case study of an immigrant Chinese language teacher's personal practical knowledge

Much of teacher knowledge research in teacher education has focused on Western views of teacher knowledge. By reporting on a case study of an immigrant Chinese language teacher's personal practical knowledge in teaching secondary school students, this paper presents an Eastern view of teacher knowledge, and illustrates how knowledge and identity are entwined. The study found that an immigrant teacher's awareness of her identity and her cultural heritage had a profound influence on shaping her personal practical knowledge and teaching practice. The paper suggests that more cross-cultural studies be undertaken to further our understanding of teacher knowledge.     

Toward a framework for the development of mathematical knowledge for teaching

Shulman (1986, 1987) coined the term pedagogical content knowledge (PCK) to address what at that time had become increasingly evident—that content knowledge itself was not sufficient for teachers to be successful. Throughout the past two decades, researchers within the field of mathematics teacher education have been expanding the notion of PCK and developing more fine-grained conceptualizations of this knowledge for teaching mathematics. One such conceptualization that shows promise is mathematical knowledge for teaching—mathematical knowledge that is specifically useful in teaching mathematics. While mathematical knowledge for teaching has started to gain attention as an important concept in the mathematics teacher education research community, there is limited understanding of what it is, how one might recognize it, and how it might develop in the minds of teachers. In this article, we propose a framework for studying the development of mathematical knowledge for teaching that is grounded in research in both mathematics education and the learning sciences.

Mathematics teachers’ “learning to notice” in the context of a video club

This study examines changes in teachers’ thinking as they participated in a video club designed to help them learn to notice and interpret students’ mathematical thinking. First, we investigate changes in teachers’ talk about classroom video segments before and after participation in the video club. Second, we identify three paths along which teachers learned to notice students’ mathematical thinking in this context: Direct, Cyclical, and Incremental. Finally, we explore ways the video club context influenced teacher learning. Understanding different forms of teacher learning provides insight for research on teacher cognition and may inform the design of video-based professional development.     

Towards a framework for effective instructional explanations in science teaching

ABSTRACT

Instructional explanations have sometimes been described as an ineffective way to teach science, representing a transmissive view of learning. However, science teachers frequently provide instructional explanations, and students also offer them in cooperative learning. Contrary to the transmissive view regarding explanation, studies suggest that instructional explanations might be successful if they are based on an interaction between explainers and explainees, including the diagnosis of understanding and adaptation to the explainee’s needs. The present article has three goals: (1) It will propose a framework for potentially effective instructional explanations, presenting five core ideas of what constitutes effective instructional explanations and two concerning how they should be implemented into science teaching. (2) To justify the framework, the article will review studies on the effectiveness of instructional explanations. It will identify factors that have been researched for their impact on the effectiveness of instructional explanations and discuss them for their applicability to science teaching. (3) This article will connect the research on instructional explanations with the idea of basic dimensions of instructional quality in science. It will discuss the core ideas as particular expressions of the basic dimensions of instructional quality, specifically ‘cognitive activation’ and ‘constructive support’.     

Intercultural language teaching as a catalyst for teacher inquiry

This study investigated how two teachers of languages, facilitated by university researchers, developed their practices with regard to intercultural language teaching. Taking a qualitative case study approach, we collected data from classroom observations, interviews, debriefing conversations, and guided reflective pieces written by the teachers. Findings indicate that the opportunities for teachers to inquire into their own practices shifted these teachers' approaches to language teaching to accommodate a curriculum expectation to develop students' intercultural communicative competence in plurilingual contexts. The study offers valuable insights for teacher education into the ways teachers' inquiries can support teachers’ responses to curricular change.     

Understanding and describing mathematical knowledge for teaching: knowledge about proof for engaging students in the activity of proving

This article is situated in the research domain that investigates what mathematical knowledge is useful for, and usable in, mathematics teaching. Specifically, the article contributes to the issue of understanding and describing what knowledge about proof is likely to be important for teachers to have as they engage students in the activity of proving. We explain that existing research informs the knowledge about the logico-linguistic aspects of proof that teachers might need, and we argue that this knowledge should be complemented by what we call knowledge of situations for proving. This form of knowledge is essential as teachers mobilize proving opportunities for their students in mathematics classrooms. We identify two sub-components of the knowledge of situations for proving: knowledge of different kinds of proving tasks and knowledge of the relationship between proving tasks and proving activity. In order to promote understanding of the former type of knowledge, we develop and illustrate a classification of proving tasks based on two mathematical criteria: (1) the number of cases involved in a task (a single case, multiple but finitely many cases, or infinitely many cases), and (2) the purpose of the task (to verify or to refute statements). In order to promote understanding of the latter type of knowledge, we develop a framework for the relationship between different proving tasks and anticipated proving activity when these tasks are implemented in classrooms, and we exemplify the components of the framework using data from third grade. We also discuss possible directions for future research into teachers’ knowledge about proof.

Narrative of a cross-cultural language teaching experience: Conflicts between theory and practice

China's economic performance over the past few decades has put China in a position where it now accounts for one-third of global economic growth, twice as much as America. The large-scale growth of China's economy has attracted attentionfrom businesses and investors worldwide [Morrison (2006). China’s economic conditions. Congressional Research Service: The Library of Congress]. With the continuing growth of China's economy, more and more people from all over the world are learning Chinese in order to conduct business and access China's huge markets. Correspondingly, an increase in the demand for Chinese speakers is being matched by an increase in available Chinese language teaching jobs globally. This has led many Chinese native speakers to consider teaching Chinese as a second language either in China or overseas.This study is a narrative inquiry into the transformation of thinking about language education, based on the author's experience of teaching Chinese while pursuing a doctorate program at a major university in the United States. The data used in this study are qualitative in nature, consisting of self-observations and journal writing. Narrative inquiry serves as a conceptual framework to this study and was adopted as a tool for data analysis. The analysis focused on how the author, as a teaching assistant from Taiwan, dealt with issues of teaching Chinese as a second language and how he drew on pedagogical theories and methodologies.The author's experience with students in the East Asian Language and Culture Department with their different assumptions and motivations highlighted the importance of teaching strategies and pedagogies in class. Elements like cultural diversity and learning styles are also discussed in this paper.     

Working for learning: teaching assistants developing mathematics for teaching

This article derives from a case study of 10 secondary school teaching assistants (TAs) who did not have conventional pre-qualifications in mathematics but who undertook an honours degree in mathematics education studies at a Higher Education Institution in England whilst continuing to work as TAs in school. Work-based learning was thus undertaken in parallel with advancement through the hierarchical undergraduate mathematics curriculum. Lave and Wenger’s work on communities of practice is used as a framework to explore the TAs’ learning of mathematics alongside their professional work in schools. This case illustrates how and where institution-based undergraduate teaching relates to work in school, and where it does not, thus signalling the importance of the TAs’ informal learning strategies in bringing together these experiences.     

Activating Aesthetics: Working with Heidegger and Bourdieu for engaged pedagogy

Abstract

This article seeks to investigate art in public urban space via a process of activating aesthetics as a way of enhancing pedagogies of engagement. It does this firstly by addressing the question of aesthetics in Enlightenment and twentieth-century frames; then it seeks to understand how artworks may be approached ontologically and epistemologically. The discussion works with the philosophical lenses of two different thinkers: Heidegger, in ‘Building Dwelling Thinking’ and ‘The Origin of the Work of Art’, and Marxist sociologist, Bourdieu with his work on a theory of practice and habitus. It asks how art may work in the meaning-making processes of place and the human subject in terms of ontological difference (Heidegger) and dispositional capital (Bourdieu). In bringing these different organising principles of interpretation to specific works of art, the discussion draws from locational research undertaken in Newcastle/Gateshead and Melbourne.     

“I had no idea”: Developing dispositional awareness and sensitivity through a cross-professional pedagogy

This research scrutinized the diffusion of a medical education pedagogy to the context of teacher education. Specifically, it focused on the use of standardized parents as an emerging pedagogy in teacher education. Preservice teachers taking part in a six case, fifteen-week intervention showed advances in multicultural awareness and ethical sensitivity as they engaged in multiple simulated parent–teacher conferences. Implications center on the use of this pedagogy within teacher education contexts to further advance the professional dispositions of teachers as they prepare to teach in diverse scholastic environments schools.     

Studying the classroom implementation of tasks: High-level mathematical tasks embedded in ‘real-life’ contexts

Mathematical tasks embedded in real-life contexts have received increased attention by educators, in part due to the considerable levels of student engagement often triggered by their motivational features. Nevertheless, it is often challenging for teachers to implement high-level (i.e., cognitively demanding), real-life tasks in ways that exploit their motivational features without overshadowing the mathematics involved. This paper proposes an analytic framework for describing and explaining the classroom implementation of different kinds of tasks, and uses this framework to analyse a classroom episode where a secondary teacher implemented with low fidelity a high-level, real-life mathematical task. Implications for research are discussed.     

Pedagogical content knowledge of French as a foreign language: differences between pre-service and in-service teachers

Pedagogical content knowledge (PCK) is an important predictor of educational quality. PCK develops from various sources, such as teaching experience. Studies investigating the effects of teaching experience on PCK development mainly focus on the question whether experienced teachers differ from novices in the amount of PCK. In a mixed methods study, we study both quantitative and qualitative differences between pre-service and in-service teachers’ PCK. Total scores on a paper-and-pencil instrument are used as a measure of French PCK. To analyse the participants’ PCK in a qualitative way, answers are coded in four categories and the prevalence of answers in each category is compared between groups. Furthermore, the nature of answers is studied. No differences on our quantitative PCK measure are observed. The qualitative analysis shows that in-service teachers have more difficulties with conceptual knowledge, while showing more practical knowledge of students’ understanding than pre-service teachers.