Using Graph Talks to Engage Undergraduates in Conversations Around Social Justice

Abstract

We present a mathematical activity called graph talks as a new pedagogical routine to intertwine social justice issues and mathematics. Adapted from number talks, graph talks involve students analyzing, interpreting, and discussing real-life data represented in graphs. Graphs may be strategically selected to both highlight a relevant social justice issue while also reinforcing the mathematics content of the course. We report on experiences using graph talks in undergraduate mathematics content courses for future teachers in the USA, and provide examples of the undergraduates doing mathematics while analyzing the social justice context of the graphs.     

Mathematics in and through social justice: another misunderstood marriage?

The current push to marry off mathematics with social justice compels one to ask such critical questions as “What is social justice?” and “How does (or can) mathematics look and act when viewed in/through the lenses of social justice?” Taking a critically reflective approach, this article draws the reader into a discussion of what is amiss in the currently promoted picture-perfect marriage of mathematics and social justice, presenting perspectives on both the content and context of mathematics teaching and learning. In this article, the author’s account of her experience in teaching a mathematics curriculum course for prospective middle years' teachers highlights a call to re-imagine the relationship between mathematics and social justice as more than a perfunctory integration of a “statistics and figures” approach. The author’s reflections acknowledge the complexity and potentiality of the relationship while challenging current status quo practices and paradigms in mathematics education.     

Equality or equity: Gender awareness issues in secondary schools in Pakistan

This paper focuses on gender awareness issues as a dimension of addressing the wider issue of the quality of education in Pakistan from the perspective of social justice. In Pakistan classrooms, boys and girls learn separately and therefore teachers and others tend to think that there are no gender issues once access is achieved and the learners are in the classroom. However, beyond access there are several factors that compromise quality of education and raise issues for gender equity as an element of social justice. These issues are examined in the context of a professional development intervention on promoting gender awareness among secondary mathematics teachers in disadvantaged schools in rural Pakistan.     

Troubling teacher identity: preparing mathematics teachers to teach for diversity

This paper reports on an action research project designed to explore the complexities of pre‐service mathematics teacher resistance to social justice issues. Research on equity and mathematics education has indicated that such resistance seems particularly strong for mathematics teachers. Twelve pre‐service mathematics teachers participated in a course‐based research project to explore this issue. Participants completed a classroom discourse analysis and a self‐study narrative as part of their secondary mathematics methods course. The findings suggest that attention to issues of identity construction within school mathematics can be successfully embedded in methods courses in order to better prepare mathematics teachers to teach for diversity.     

Conditions for linking school mathematics and moral education: A case study

In recent years the mathematics education research community has undergone a social turn towards a greater interest in the values and broader educational purposes of mathematics education, including issues of social justice and citizenship education. Building on these developing interests, this paper presents a conceptual framework that links the teaching of school mathematics with moral education. Then, in a case study involving two countries, England and Canada, this framework is used to explore the affordances and constraints faced by mathematics teachers in those countries if they want to intentionally practice moral education in the classroom.     

Tools of inaction: the impasse between teaching social issues and creating social change

Within the field of teacher education, increased emphasis has been placed on social justice education (SJE). This qualitative study examined a group of beginning teachers who voluntarily participated in a social justice critical inquiry project (CIP). The findings indicate that while many of them were successful at teaching social issues, they provided few to no opportunities for their students to engage in social action and they themselves did not participate in activism. To explain this, the participants used the following four tools of inaction: tools of substitution, postponement, displacement, and dismissal. These tools relieved the tension of not taking action and allowed the participants to postpone, justify, or redirect the responsibility of becoming active in struggling for sustainable social change. Understanding the use of these tools can help teacher educators to understand the process of development of social justice educators.     

Mathematics education as sociopolitical: prospective teachers’ views of the What,Who, and How

In this article, I introduce a framework—the What, Who, and How of mathematics—that emerged from studying my teaching of prospective teachers and their views of the social and political dimensions of mathematics teaching and learning. The What, Who, How framework asks us to consider What messages we send about mathematics and the world, Whose perspectives are represented in mathematics, and How mathematical concepts and our world are related. I situate each aspect of the framework in the literature on social justice and critical mathematics and provide examples of prospective teachers’ views. The What, Who, How serves as a tool to understand prospective teachers’ views, to navigate a broad range of literature on social justice mathematics, and a means of informing the practice of teachers and teacher educators.     

Unpacking personal identities for teaching mathematics within the context of prospective teacher education

This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching contexts, yet came to reconcile these differences in different ways. Whereas one prospective teacher was able to oppose the obligations set forth in the student teaching context, the other complied with obligations in both the teacher education and student teaching contexts. Implications for teacher education include differentiated experiences and placements, methods design, and explicit foci on students’ mathematical thinking.     

The effect of video-based approach on prospective teachers’ ability to analyze mathematics teaching

This is an intervention study that explored the effect of using video lesson analysis methodology (VLAM) on the ability of prospective middle/high school mathematics teachers to analyze mathematics teaching. The sample of the study consisted of 26 female prospective mathematics teachers enrolled in a methods course at the United Arab Emirates University. The participants were divided equally into two groups, experimental and control. The experimental group was involved in video lesson analysis where they analyzed ten video lessons throughout the semester. The group members interacted via discussion forums through Blackboard technology. Both groups wrote analyses of two video lessons, one before the intervention program and another at the end of it. It was found that the intervention remarkably improved the ability to analyze mathematics teaching of the experimental group while little improvement occurred to the control group. Implications for teacher education programs are discussed.     

Prospective teachers’ teaching experience: teacher learning through the use of video

Background: Future teachers need to observe, interpret and analyse teaching during the initial teacher education period. The use of videoed teaching and learning in teacher education promotes reflection, and analysing videos of teaching is helpful in learning effective classroom practices that prospective teachers mostly do not have the chance to observe during fieldwork experiences. The analysis of videos of teaching can be seen as a way to enhance the development of prospective teachers’ professional vision, which, in turn, improves instruction. Purpose: The purpose of this study was to examine prospective teachers’ reflections on video examples depicting their own teaching experiences. It aimed to create a professional development environment to facilitate the prospective teachers’ reflection on their own videos and those of their peers to improve their professional vision. Sample: This study was conducted with over 200 (in 31 groups) third-year prospective mathematics teachers in a university in Western Turkey. The student teachers, receiving training to teach first- to fourth-grade elementary school pupils, were taking a teaching methods course. Design and methods: In the first week of the semester, the student teachers, working in groups, were assigned mathematics topics to teach the elementary school pupils. During the semester, each group prepared by trying out their activities in front of other student teachers in other groups. At the end of the semester, one student teacher from each group presented a short lesson related to their mathematical topic to the elementary school pupils. This lesson was videotaped, then later it was watched and discussed by the student teachers. Of the student teachers who undertook the teaching in the videos, 22 volunteers agreed to be interviewed. All groups of student teachers provided written reflections on their experience. Selected videos of the class discussions about the videos of teaching were also used for triangulation. The data were analysed to identify the issues the prospective teachers reflected upon. A content analysis technique was employed. Results: The data indicated that the prospective teachers were able to reflect on several issues related to effective teaching, connect their theoretical knowledge to their practice and consider issues related to pupil learning and difficulties. Conclusion: The findings suggested that the use of video, together with discussions between the student teachers, had the potential to create promising learning opportunities for prospective teachers.     

“Promoting Acceptance” or “Preparing Warrior Scholars”: Variance in Teaching for Social Justice Vision and Praxis

A growing body of research explores theoretical models of teaching for social justice in P-12 classrooms and in teacher education. However, many of these models fail to account for the relationship between teachers’ social justice frameworks and their classroom practices. In this article, I use vignettes drawn from a recent study of secondary English Language Arts teachers to illustrate how differences in social location and sociopolitical emphasis affect teachers’ approaches to justice-oriented curriculum, pedagogy, and social action. This article concludes with implications for teaching and teacher education, including strategies for using these findings in preservice classrooms.     

Teacher education through the history of mathematics

In this paper I consider the problem of designing strategies for teacher education programs that may promote an aware style of teaching. Among the various elements to be considered I focus on the need to address prospective teachers’ belief that they must reproduce the style of mathematics teaching seen in their school days. Towards this aim, I argue that the prospective teachers need a context allowing them to look at the topics they will teach in a different manner. This context may be provided by the history of mathematics. In this paper I shall discuss how history affected the construction of teaching sequences on algebra during the activities of the ‘laboratory of mathematics education’ carried out in a 2 year education program for prospective teachers. The conditions of the experiment, notably the fact that our prospective teachers had not had specific preparation in the history of mathematics, allow us to outline opportunities and caveats of the use of history in teacher education.     

Visualizing Social Justice: Using Controversial Images in Social Studies Classrooms

In this article, we promote the use of controversial images to enhance the discussion of social justice issues in schools. Controversial images provide rich opportunities for students to question what is occurring currently in society as well as what has occurred in the past. We provide an example set of activities to be used in teacher education that can help future teachers explore engaging methods for teaching with controversial images, discuss tensions involved with the use of controversial images, and to develop connections between using controversial images and teaching for social justice.     

Primary Mathematics Teacher Education in Greece: Reality and Vision

This paper focuses on two main issues concerning the mathematics education of prospective primary school teachers in Greece: the integration of mathematics and pedagogy and the relation of theory to practice. In particular, specific teaching approaches are discussed concerning the problem of integration both in mathematics and in mathematics education courses. The problem of "theory – practice" is examined through an analysis of the kind of teaching practice in which the prospective teachers are involved. Finally, the constraints that the mathematics educators face and the impact of their work on the professional life of the teachers in the future are discussed. This revised version was published online in August 2006 with corrections to the Cover Date.     

Roles,practices and contexts for acting as agents of social justice – student teachers’ perspectives

ABSTRACT

Student teachers are oftentimes encouraged to apply theoretical principles of social justice to their professional practice. However, this can be problematic when theoretical knowledge is contested or if it is inconsistent with the practices in their future workplaces. Studies in this area often examine student teachers’ beliefs and understanding of their roles without taking account of how concrete working contexts shape what they see as possible in their practice. This study explored how students in two teacher education programmes based at the University of Edinburgh perceived their roles, practices and contexts for acting as agents of social justice. Mixed methods were used for data generation and triangulation including a questionnaire survey (n = 299) and scenario-based interviews (n = 9) to explore how students think about social justice issues in context. Student teachers generally saw agency for social justice as part of their role. Their understanding of the ways of addressing context-embedded issues of social justice focused on classroom practices while they raised concerns about how their practice depends on others in the system. We discuss the implications of these findings for teacher education.     

A longitudinal study of effects of a developmental teacher preparation program on elementary prospective teachers’ mathematics beliefs

The universal emphasis in mathematics education on teaching and learning for understanding can require substantial paradigmatic shifts for many elementary school teachers. Consequently, a pressing goal of teacher preparation programs should be the facilitation of these changes during program experiences. This longitudinal, mixed methods study presents a thorough investigation of the effects of a distinctive teacher preparation program on important constructs related to prospective teacher preparedness to teach mathematics for understanding, including mathematics pedagogical and teaching efficacy beliefs, mathematics anxiety, and specialized content knowledge for teaching mathematics. The results indicate that the programmatic features experienced by the prospective teachers in this study, including a developmental two-course mathematics methods sequence and coordinated developmental field placements, provided a context supporting teacher change. These shifts are interpreted through the nature and timing of the experiences in the program and a model of teacher change processes. The findings provide insights for mathematics educators as to the outcomes of these programmatic features.     

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.

     

Preparing Students for Social Action in a Social Justice Education Course: What Works?

The purpose of this study was to explore students’ perceptions of how the curriculum and teaching strategies in a social justice education course prepared them for social action engagement. Past studies using a similar approach to teaching about social justice issues did not include student interviews. Students’ perspectives can shed light on how experiences in a social justice education course prepared them to challenge social oppression and work toward equity in their daily lives. Six students were interviewed one semester after they completed a social justice education course. Findings indicated teaching strategies (e.g., experiential activities) that included students’ lived experiences also increased their personal awareness, empathy, confidence, and knowledge about tools for social action. These teaching strategies were identified more often than content as key in preparing students to take action. Classroom implications are discussed.     

Self-Perception versus Students' Perception of Teachers' Personal Style in College Science and Mathematics Courses

This study focuses on the assessment of students' (N=138) versus their teachers' (N=8) self-perception of the latter's personal style (PS) in the context of science and mathematics teaching in college; it uses the Personal Style Questionnaire and structured interviews for this purpose. The teacher's preferred (the ideal) and the actual personal style profiles thus obtained indicate that there is a good correspondence between the students' and teachers' perceptions concerning the preferred personal style of teachers. It also indicates that the students assess quite adequately the actual PS of their teachers. Regarding the significance of the association between the students' preferred and the teachers' actual PS in College science and mathematics teaching for effective learning, the self-modification of PS by reflective prospective and in-service science teachers is recommended.