Examining and elaborating upon the nature of elementary prospective teachers’ conceptions of partitive division with fractions

The purpose of this study was to examine and elaborate upon elementary prospective teachers’ (PSTs) conceptions of partitive division with fractions. We examined the degree to which PSTs’ conceptions were connected (i.e., capable of translating between representations correctly; aware that partitive division generates a unit rate for its quotient) and flexible (i.e., capable of differentiating between opportunities to partition or iterate (or both) when solving a partitive division task; aware that partitioning or iterating (or both) could be associated with the operation of division, as appropriate). Seventeen PSTs participated in task-based interviews prior to instruction in a mathematics content course for teachers. These PSTs demonstrated disconnected conceptions of partitive division with fractions when they incorrectly translated between representations and either inconsistently or did not express awareness that the purpose of the task was to generate a unit rate. These PSTs demonstrated rigid conceptions of partitive division with fractions such that they did not express awareness that the process of iterating could be associated with the operation of division, even when they obtained a correct answer by iterating. Results extend prior research by looking beyond PSTs’ performance on tasks to elaborate upon PSTs’ conceptions of the operation of partitive division. This study contributes new insights into PSTs’ conceptions that can be used by mathematics teacher educators to inform the design of future instructional interventions.     

The Relationship between Pre-service Mathematics Teachers’ Focus on Student Thinking in Lesson Analysis and Lesson Planning Tasks

This study explored whether pre-service teachers’ (PSTs’) lesson analysis skills during a teacher education course in the country of Turkey were related to their skills of lesson planning. PSTs’ lesson analysis skills during fieldwork were assessed by their attention to and interpretation of student thinking and learning, and how it is influenced by the teachers’ instructional decisions. The PSTs’ lesson analysis scores were significantly and positively correlated with scores in lesson planning task focusing on student thinking. The findings contribute to the literature on whether PSTs’ lesson analysis skills may be transferred to one of the core activities of teaching.     

Development of evidence-based,student-learning-oriented rubrics for pre-service science teachers’ pedagogical content knowledge

ABSTRACT

This paper offers pedagogical content knowledge (PCK) rubrics, that is, guides providing criteria for grading that are potentially applicable to a range of science topics and levels of teacher experience. Grading criteria applied in the rubrics are based on qualitative analyses of planned topic-specific professional knowledge (TSPK) and content knowledge (CK). Data were collected via three topic-specific vignettes from 239 pre-service science teachers (PSTs) starting a university-based, full-time, one year teacher education programme in England. The statements were analysed for TSPK and CK. PSTs’ statements proposed instructional strategies comprising demonstrations, explanations, illustrations and analogies, classified as Relevant to the science topics, others Irrelevant. Some Relevant strategies missed an aspect that may, if enacted, help students’ learning, so were judged Incomplete. Statements were also analysed for evidence of relevant and correct CK. CK and TSPK statements are aligned into grids, creating PCK rubrics. These demonstrate the precise nature of knowledge likely to lead to instruction that impacts positively on student learning. The rubrics present the possibility of PCK repertoires that contribute clarity and precision to teaching instruction. Although findings cannot be generalised, the methodology offers a strategy for supporting out-of-field teachers, and those seeking instructional strategies to add to existing repertoires.     

Reframing a problem: identifying the sources of conflict in a teacher education course

This article exemplifies the critical initial phase of action research, problem identification, in the context of a teacher education course. After frustration arose between preservice elementary teachers (PSTs) and their instructor over classwork quality, the instructor employed reflective journaling and discussions to examine the source of the conflict. Qualitative analysis of class reports, journal entries, and discussions revealed that PSTs’ perceptions of their role in a teacher education course did not align with those of their instructor; goal orientation is used as a conceptual framework to contrast the perspectives. Implications of purposeful and methodical collection and analysis of data (in the initial stage of action research) include reframing a problem using data representing PSTs’ perspectives; allowing instructors to carefully consider possible solution strategies; providing a democratic setting for learning by giving voice to PSTs; and modeling reflective practice as a mode of conflict resolution in an authentic classroom setting.     

Constructivism and classroom teachers: What can early childhood teacher educators do to support the constructivist journey?

Abstract

Constructivism is a theory of learning that has become increasingly accepted by educators. Yet translating a theory of learning into practical instructional strategies has proven to be quite difficult for teachers. A qualitative study was recently completed that examined primary grade teachers’ understanding of constructivism and its influence upon their teaching practices. Analysis indicated that the teachers had several misconceptions of constructivism and were at varying levels of understanding, based upon their experience and professional development in constructivist education. This study has implications for the teacher education field, and early childhood teacher educators can play an important role in helping preservice and inservice teachers gain a deeper understanding of constructivism and implement teaching practices based upon this understanding. Suggestions for colleges of education are given.     

Constructivist Practice in Preservice Teacher Education in Mathematics: (re)producing and affirming the status quo?

Teacher educators often tend to place enormous faith in constructivist approaches to teaching, which emphasise collaboration, inquiry and problem solving. With reference to my own pedagogical practices in preservice teacher education, I argue that constructivist practice may in fact cement, rather than challenge, the taken‐for‐granted cultural, sexist and racist assumptions informing teaching‐mathematics‐as‐usual. I suggest that students should experience a different mathematics; a mathematics that reveals how processes of collaboration and inquiry, based on constructed binaries, selectively constitute mathematical subjectivities. Preservice teachers and teacher educators who are aware of activities and practices which are overly regulatory and/or discriminatory might work together to re‐vision and enact an alternative mathematics: a mathematics able to challenge and disrupt the status quo.     

‘I can’t believe I didn’t learn this in school’: ‘refusing secondly’ as an anti-racist English education framework

ABSTRACT

This study examines the responses of pre-service teachers (PSTs) to the young adult novel All American Boys in light of their viewing the 2016 documentary 13^th. In this paper, I use anti-racist English education scholarship to discuss how these two texts helped PSTs ‘refuse to start with secondly.’ I examine how Adichie’s concept of ‘refusing secondly’ within readings of literature both affords and constrains the anti-racist possibilities of literature teacher preparation courses. Using qualitative methodologies, I analysed student reflections, recorded class discussions, and co-constructed class documents. Students connected the historical and the contemporary in considerations of race and racism. They also implicated societal institutions before situating themselves within the continuing legacies of race and racism. These findings demonstrate the ways that ‘refusing secondly’ may offer space for PSTs and teacher educators to use literature to navigate the continuous and indeterminate process of becoming more anti-racist.     

LEARNING ENVIRONMENT IN VIETNAMESE PHYSICS TEACHER EDUCATION PROGRAMME THROUGH THE LENS OF CONSTRUCTIVISM: A CASE STUDY OF A STATE UNIVERSITY IN MEKONG DELTA REGION,VIETNAM

Constructivism was introduced to Vietnam through many ways such as workshops, books, the Internet, and so on. However, due to the lack of professional education, fundamental ideas of constructivist learning perhaps were missing or neglected through classroom activities. Furthermore, due to the influence of culture and society, Vietnamese constructivism certainly has its own agenda. This paper adapted the Constructivist Learning Environment Survey (CLES) which was originally developed by Taylor and Fraser (1991) to investigate the classroom environment in a Physics Teacher Education programme in Vietnam, as well as to illustrate Vietnamese teacher educators’ views in employing constructivist learning. Fifteen teaching periods in seven different classrooms were observed, and five teacher educators from those classes were interviewed. Participants are lecturers and bachelor students of the Physics Teacher Education programme at Can Tho University, Mekong Delta region, south of Vietnam. Results showed that all five scales of the CLES in these classrooms are at the intermediate level. All the lecturers indicated positive attitudes about constructivism and have certain methods to perform these constructivist issues in their classes, but they have problems in practical instructional strategies for some scales. Therefore, we suggest that professional development programmes on how to apply constructivist theory, based on each particular scale of the CLES, are essential. This is especially true in scientific uncertainty, critical voice, and shared control. Yet, in a country that highly appreciates Confucianism with social order, not all aspects of an ideal constructivist learning environment should be equally improved. Generally, we believe that constructivist learning will be a key answer to the problem of the generally passive learning style in Vietnam.

     

Evolving through tensions: preservice teachers’ conceptions of social justice teaching

ABSTRACT

This study utilized cultural historical activity theory to explore the evolution of nine preservice teachers’ (PSTs’) conceptions of social justice teaching while enrolled in a social justice-oriented teacher education program. From three interviews conducted over one year, findings show that tensions PSTs encountered while student teaching in high-poverty schools predominantly shaped their thinking. PSTs’ conceptions of social justice teaching evolved to include navigating inequitable systems, loving students critically, and viewing social justice teaching as uniquely personal. Implications include the importance of teacher educators leveraging inevitable student-teaching tensions as learning opportunities to further PSTs’ commitment to social justice teaching.     

Envisioning Our Practice: Examining and Interpreting Pedagogical Visions of Four Early Career Teacher Educators

ABSTRACT

The purpose of this article is to explore how pedagogical visions inform our work as former classroom teachers and current teacher educators in rural and urban regions of the United States. Specifically, we explore the instructional decisions we make as we work to meet these visions in higher education. Teacher educators are charged with the task of fostering visionary teachers in today’s highly challenging educational landscape. We pose the question: How can teacher educators foster visionary beginning teachers without an examination of their visions for their practice? Using a self-study design, we examine the intersections of our pedagogical visions for teaching and the instructional actions we take to work toward our visions in higher education. Findings highlight specific instructional practices and strategies used to enact visions while providing a critical discussion of the lens of visioning within self-study research.     

Prospective and Mentor Teacher Perspectives on Co-learning Events

One response to the disconnect between principle-based university methods courses and practice-oriented elementary school classrooms has been to create co-learning spaces by bringing prospective teachers (PSTs), practicing mentor teachers (MTs), and teacher educators together to explore key ideas related to teaching and learning. The purpose of this study was to examine MTs’ and PSTs’ perspectives on their experiences in co-learning events designed to maximize co-construction of knowledge that might lessen the gap between theory and practice. Findings from the analysis of interviews with 16 PSTs and 22 MTs included numerous benefits of co-learning events, including opportunities for (a) MTs to learn about PSTs’ world and build relationships; (b) PSTs to learn from MTs’ practical knowledge; and (c) to foster diverse perspectives and mutually beneficial collaboration. Participants also described tensions related to positioning MTs and PSTs in collaborative roles. Implications for the design of co-learning events in teacher education are discussed.     

Teaching teachers to teach Boris: a framework for mathematics teacher educator pedagogical content knowledge

The notion of pedagogical content knowledge (PCK) was posited in the context of school teaching and the knowledge used by teachers teaching school students. It has been examined for a number of discipline areas, notably mathematics. There are, however, other teaching contexts, including those of teacher educators, whose students are pre-service teachers (PSTs). The content these teacher educators teach is not subject discipline knowledge (or not solely), but the PCK for teaching a subject discipline. What knowledge do teacher educators use as they teach PCK? This paper presents a framework for the PCK required of mathematics teacher educators as they work to develop PSTs’ PCK for teaching mathematics. The framework builds on existing research into PCK and categorises aspects of the work of teacher education. The framework’s usefulness is examined by studying the PCK used by the first author in building PSTs’ understanding of mathematics teacher PCK.     

What We Learned about Using Metaphors in College Teaching: Methods and Meanings

The field of education is rich with metaphors that reveal one's perspective on the nature of teaching and learning—ideas are “covered,” students “absorb” information, teachers offer writing “clinics.” Each of these metaphors indicate nuanced ideas about what schooling is and is for—to be checked off? Taken in unquestioningly? For those who are sick? Two teacher educators in the field of early childhood education share insights from their own experiences in considering novice teachers' metaphors in their preparatory experiences, particularly wondering what these unveil about heretofore unanalyzed beliefs and what instructors can learn so as to form further instruction. Methods are shared and reflection led educators to find important instructional and relationship-building implications for working with novice teachers.     

Ignoring the Obvious: A Constructivist Critique of a Traditional Teacher Education Program

The purpose of this article is to present the conclusions of a Deweyan-oriented constructivist educator concerning what I believe to be a number of crucial dysfunctional elements embedded in the very structure of the traditional teacher education program. My experience as a teacher educator has led me to conclude that certain time-honored aspects of traditionally structured teacher education, so long entrenched that they are virtually invisible to many of the participants, are nevertheless largely inappropriate to creating the kind of activity rich, in-depth, personalized instruction that constructivist educators believe to be essential to a quality educational experience. My assumption is that if our future teachers are not going to teach as they were taught by many of their own primary and secondary teachers, teacher education courses must not only present the bodies of knowledge needed by future teachers to assume responsible positions as professionals, they must also consistently model the kinds of pedagogical practices that are conducive to active, in-depth learning. However, the overall structure-in particular the structuring of time-within which professors and students function in a traditional teacher education program, and which almost everyone (at least in my experience) seems to accept unquestioningly, makes this virtually impossible. It is my contention that unless such programs are profoundly restructured in ways that better facilitate preservice teachers' construction of knowledge, skills, and dispositions related to effective teaching, progressive school reform in the twenty-first century will be the likely casualty.     

Where are the “People Like me”?: A Collaborative Autoethnography of Transnational Lives and Teacher Education in the U.S.

ABSTRACT

Global multicultural teacher education courses and programs have made claims to offer Prospective Teachers (PSTs) a global understanding of diversity and multiculturalism. However, there is very little research that has examined the classroom experiences of PSTs and teacher educators. Drawing on a collaborative autoethnography, this article explores the ways our transnational identities shaped our experiences (as a PST and a teacher educator) in a global teacher education course focused on diversity and multiculturalism. We were guided by the following research question: How do we, as South Asian transnational migrants, experience the curriculum of a global multicultural education course in the United States? We found that the curricular nationalism within multicultural education courses often negates any critical engagement with the influence of transnationalism on immigrants and their educational experiences. Transnational migrants are expected to translate their experiences, cultural practices, and life ways to fit into the container of the U.S. nation-state. Furthermore, there was a visible absence of narratives and research about transnational lives and identities in the course curriculum. As teacher education programs prepare PSTs to enter classrooms with growing immigrant populations, it is important that we attend to this glaring gap in both practice and research.     

Use of self-determination theory to support basic psychological needs of preservice science teachers in an environmental science course

In this paper, we examine how the basic psychological needs of preservice science teachers (PSTs) were supported in a series of environmental science course activities informed by self-determination theory (SDT). We collected qualitative data about the PSTs’ sense of competence, autonomy, and relatedness through interviews, group discussions, assignments, and reflection papers. Data were analyzed in relation to the instructional design features of the course; namely, collective construction of ideas, student guided discussions, real life connection, and consistent group dynamics. Findings illustrate primary support for cognitive features, including, how course activities supported a sense of confidence in action, sense of self-initiation, awareness of personal role in the system, and awareness of environmental actions. Overall, results suggest that SDT can be effectively utilized as a framework for environmental education in courses designed to foster environmental self-determination and long-lasting pro-environmental behaviors.     

Developing cultural humility through experiential learning: How home visits transform early childhood preservice educators’ attitudes for engaging families

Research calls for teacher education to prepare early childhood educators for the needs of diverse and marginalized young children and their families in the U.S. With an increasing cultural divide between teachers and students, some early childhood educators may demonstrate limited understanding for how diverse cultural, linguistic, racial, and socioeconomic backgrounds inform the daily functions of families of young children. In this article, we examine how the use of experiential learning vis-à-vis conducting a home visit with a family from a diverse and marginalized background can shape early childhood preservice teachers’ (PST) development of cultural humility, an important component of cultural competence. During this experiential learning, PSTs engaged in critically reflective practices to uncover and challenge their implicit biases. While discovering the strengths and challenges among their home visit families, PSTs also learned what they had in common with the families. PSTs noted how the home visit process informed their work as future early childhood educators.