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This paper set out to contribute to mathematics education research by elaborating on a methodology developed during a study, trying to understand, view and follow shifts in prospective teachers' discursive patterns. The methodology aims to illustrate and describe how prospective teachers adapt to the context of teaching through a flexible process. This flexible process is then described in the result as a narrative. It is argued that the methodology can be used in relation to different theoretical directions, such as research about beliefs, knowledge, or identity. Another contribution is that the methodology presented gives insights into bridging the gap between different analytical levels, micro and macro. With a theoretical foundation in 'Cultural Worlds' [Holland, D., Skinner, D., Lachicotte, W., & Cain, C. (1998). Identity and agency in cultural worlds. Harvard University Press.] the Social Semiotic approach of Systemic Functional Linguistics, SFL [Halliday, M., & Hasan, R. (1989). Language, context, and text: Aspects of language in a social-semiotic perspective (2nd ed.). Oxford University Press] is used as a methodological tool. SFL offers a toolkit that allows the analysis of meaning at the clause level to uncover how and why a speaker produces a particular wording rather than any other in a specific social practice. The paper aims to illustrate and describe how to go beyond findings in the micro-analysis and then present the result as a narrative case. [ABSTRACT FROM AUTHOR]

This article discusses the growing attention and research activity surrounding early grade mathematics (EGM) in South Africa and Malawi. The introduction of curriculum reforms and policy-linked interventions, such as the Teaching Mathematics for Understanding model and the Primary Teacher Education initiative, have led to increased research in this field. The article highlights the importance of foundational understandings of mathematics in addressing low performance in the subject. It also examines different approaches to EGM research, including large-scale interventions and projects that engage with the mathematics education literature base. The article concludes by emphasizing the need for ongoing attention to both larger-scale and smaller-scale intervention studies in order to improve mathematical outcomes. [Extracted from the article]

Research on mathematical equivalence, and to some extent, on number structure in early grade mathematics, has shown that most students at primary and secondary levels understand these concepts instrumentally rather than relationally. The study reported in this paper uses a design research approach to explore both mathematical equivalence and number structure in a primary pre-service teacher education programme at a university in South Africa and reports on an intervention strategy intended to culminate in developing design principles comprising guidelines for the effective teaching of number structure and mathematics equivalence in primary pre-service teacher education programmes. The mixed method study comprises 70 first-year primary pre-service teachers (PSTs) and a teacher educator. The PSTs wrote pre- and post-tests, and were interviewed following the pre-test. Skemp's notion of relational and instrumental understanding guided the design of the intervention and the analysis of the data. The results from the study indicates that PSTs' understanding of the notion of equivalence is similar to what has been reported for students in schools, and that there were some learning gains in the post-test results. Based on the findings from the study in general, some emergent design principles are proposed. [ABSTRACT FROM AUTHOR]

Studies have shown that failure experiences play a role in pre-service teachers' development. Given that autobiographical experiences are a foundation of learning and that failure is a wide-spread experience, particularly in mathematics, we need further insight into what kind of experience failure actually is. This paper draws on 59 pre-service teachers' written experiences of failure in order to map them out and provide insight into what counts as failure from the perspective of the future teachers of mathematics, that is, pre-service mathematics and pre-service elementary school teachers. The findings, alongside the earlier research on negative experiences, form a basis for conceptualising failure in mathematics as an autobiographical experience and distinguishing it from a negative experience. A theoretical insight into the nature of failure is gained; the failure experiences seem to be less relational than anticipated. The paper also discusses the relevance of failure experiences for teacher education. [ABSTRACT FROM AUTHOR]

This paper reports on the development of the Teaching Mathematics for Social Justice beliefs (TMfSJ-B) scale and its psychometric properties. Preservice elementary education teachers enrolled in teacher education programmes at seven universities completed multiple surveys designed to understand the evolution of attitudes and beliefs about teaching mathematics. To our knowledge, the TMfSJ-B scale is the only survey specifically designed to measure pre- and in-service teachers' beliefs about teaching mathematics for social justice. Confirmatory factor analyses (n = 655) provided here indicate that the TMfSJ-B scale is a valid and reliable assessment of beliefs about social justice in mathematics teacher education, with three factors: (1) value of mathematics for all students; (2) integration of social justice into mathematics instruction; and (3) mathematics and its relation to inclusiveness. The purpose of this study was to validate measures produced by the TMfSJ-beliefs scale and discuss its potential use in teacher education programmes and research. [ABSTRACT FROM AUTHOR]

This paper aims to examine the extent to which pre-service teachers' mathematical connection skills were promoted through the course designed within the scope of pedagogies of practice (Grossman et al. [2009]. Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055–2100. https://doi.org/10.1177/016146810911100905) in the teacher education programme. Data were collected in a course that was designed to develop pre-service mathematics teachers' (PSTs) mathematical connections skills through a classroom teaching experiment with individual contributions to the whole class learning process. Thirty-six PSTs who were enrolled in the course participated in the present study. Initial and revised lesson plans were used as primary data collection instruments. In the most general sense, the findings demonstrated that most of the PSTs improved their mathematical connection skills during the course. The results of the current study provide insight into how the courses in undergraduate education should be implemented to give PSTs opportunities to develop their mathematical connection skills. [ABSTRACT FROM AUTHOR]

Owing to its recognition as a 21st-century skill, computational thinking (CT) is currently being introduced into school curricula around the world. However, in-service teachers are largely unprepared for this implementation, which, in turn, makes teacher educators (TEds) important stakeholders in preparing prospective teachers to integrate CT into their classroom practices. In this regard, TEds are charged with a twofold responsibility: they must develop not only their own CT skills and digital competence but also a way of teaching these to the next generation of teachers who will facilitate future pupils' learning. In this paper, we report on 17 TEds' experience regarding the challenges and opportunities of integrating CT into Norway's primary teacher education mathematics and science courses two years after CT's introduction into Norwegian primary schools. A data-driven thematic analysis of semi-structured interviews was conducted. Our analysis suggests that it is challenging to integrate CT into existing courses. Such challenges, as well as opportunities, seem to apply at four levels: the systemic, teacher educator, student teacher, and subject levels. The results provide valuable insights for key stakeholders into the challenges and opportunities of integrating CT into teacher education, thus contributing to the body of research on professional digital competence. [ABSTRACT FROM AUTHOR]

In the disciplines of dance and mathematics, binary identities commonly split individuals into either (non)dance and/or (non)math people. However, these shorthand assessments become dangerous because they constrain disciplinary knowledge, and limiting one's identity and capabilities remains antithetical to broad education goals. Capitalizing on dance as a situated, embodied form of knowledge, as well as an engaging, interactive, and social endeavor, we facilitate instruction that uses a dance-based approach to teach geometric transformations in a teacher education program. In this paper, we discuss findings from a case study intervention in a graduate-level geometry education course where we engaged participants in this transformations dance activity. We ask: What disciplinary practices did participants use in a dance-based intervention on geometric transformations? And, how did they use them? We found that the parallel disciplinary practices that the participants engaged in, in dance and mathematics, sheds light on a need in education to resist binary identities and to encourage inquiry-based practices. We aim to inspire future professional development and collaborative teaching opportunities for dance teachers in math and math teachers in dance, along with research that investigates intersections of learning, practice, and identity, particularly in dance + math. [ABSTRACT FROM AUTHOR]

This paper introduces lessons designed to incorporate applications to teaching high school mathematics in an undergraduate Discrete Mathematics course. Because many prospective high school teachers do not take courses that are specifically designed for teachers, providing materials aimed at teacher preparation that can be easily integrated into courses that serve a general mathematics major is one strategy for addressing mathematics teacher preparation. We developed lessons using four guiding features: choosing appropriate content; making school mathematics connections; incorporating active learning; and providing robust lesson notes. Our interview-based findings document how the lessons were used by instructors and analyze the mathematical ideas and understandings that arose from the use of the lessons at two different sites. [ABSTRACT FROM AUTHOR]

Despite research demonstrating positive effects of writing on student achievement, writing-to-learn remains under-utilised in mathematics and mathematics teacher education. In this paper, we explore how writing-to-learn tasks in a mathematics methods course influenced elementary preservice teachers’ beliefs about teaching in two domains: mathematics and writing. Preservice teachers engaged in weekly writing-to-learn tasks designed to support their understanding of mathematics content and mathematics pedagogy over the course of a semester. Using survey data, we found no significant difference in their beliefs from pre to post. Such null findings led us to ask new qualitative questions, resulting in a concurrent mixed methods design. Through qualitative analyses of student writing, we found several meaningful and non-meaningful practices for engaging in writing-to-learn tasks. This research supports teacher educators, teachers, and researchers to understand how to implement writing-to-learn tasks and to support students towards meaningful engagement in the tasks. [ABSTRACT FROM AUTHOR]

This paper shares findings from the study of a learning sequence designed to support prospective elementary teachers (PTs) in identifying evidence of conceptual understanding and procedural fluency. Conceptual understanding and procedural fluency are widely recognized as important to teaching and learning mathematics, and identifying evidence of each is emphasized on teacher candidates' high-stakes performance assessments. As PTs practiced selecting evidence from student work samples, our analysis revealed successes as well as associated challenges. Our findings suggest areas for supporting PTs' learning, as well as challenges stemming from the inherent overlap of these two knowledge types. This study raises important questions about the value of emphasizing PTs' ability to cite evidence of conceptual understanding and procedural fluency, given their integrated nature. [ABSTRACT FROM AUTHOR]

This study explored school principals' and teacher educators' perceptions of STEM education based on how they described STEM as a discipline, their understanding of the nature of teaching and learning of STEM, and the capabilities of a STEM-educated person. Data were generated through the Draw a STEM Learning Environment (D-STEM) instrument comprising drawn and written descriptions where participants drew a picture of a STEM learning environment and completed five prompt statements about what STEM is and how an individual develops personal STEM capability. The Legitimation Code Theory (LCT) specialization codes were used for data analysis (198 individual response items in total) to understand how the participants perceive STEM education. Almost half the participant responses indicated knowledge-code perceptions with a smaller but significant number (approximately a third of responses) indicating knower-code perceptions. The remaining responses showed élite-code perceptions, indicating a small proportion of participants valued the development of both disciplinary knowledge/practices and generic skills/attributes in STEM education. We posit that curriculum structure and reporting requirements influence these perceptions. Further research in relation to the influence of such understandings on enacted curriculum is warranted. [ABSTRACT FROM AUTHOR]

Well-written curriculum materials are known to support teacher learning. Less discussion has focused on whether teachers' guides, curriculum materials written specifically for teachers by textbook publishers, provide sufficient support. In this study, I analyse four US-based mathematics teachers' guides to understand the opportunities within them for teacher learning. Drawing on positioning theory, I conceptualised teacher learning opportunities as teacher positionings observable from teachers' guides. With this conceptualisation, I explored teacher positionings that were regularly or idiosyncratically observable from the selected teachers' guides. The results revealed only a small number of regularly observable positionings existed, indicating limited opportunities for teacher learning from the guides. Irregularly, or idiosyncratically observed positionings provided limited opportunities, as well. Based on the findings, I suggest the necessity of presenting diverse positionings to best utilise the potential from teachers' guides as materials for teacher learning. [ABSTRACT FROM AUTHOR]

Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction. For this study, the self-efficacy preservice teachers felt about teaching mathematics was assessed before and after completing a one-credit elementary education mathematics seminar. The course included research into student errors, open-ended mathematics tasks, and student reflection. The pre- and post-test data indicated that a statistically significant increase in self-efficacy, t(49) = 11.393, p <.05, with qualitative analysis of responses corroborating the positive effects of the course, especially of the student error analysis. [ABSTRACT FROM AUTHOR]

This mixed-methods study examined prospective elementary teachers' (N = 32) mathematical knowledge and mathematics self-efficacy while learning about the Singapore Modeling Method in a university mathematics course. Pre- and post- quantitative data were collected via two content knowledge assessments and one belief survey, and qualitative data were gathered through individual interviews. The quantitative data analysis showed that content knowledge did not change significantly, whereas mathematics self-efficacy did change significantly. Three themes from the interviews evidenced growth in mathematical knowledge: justifying reasoning in problem solving with visual clarity, variety of valid strategies, and changes in mathematics self-efficacy and connections with content knowledge. [ABSTRACT FROM AUTHOR]

This study investigated 77 Taiwanese pre-service primary teachers' beliefs, knowledge and emotions about mathematics teaching and learning by using a drawing task: specifically, creating pictures of themselves as mathematics teachers at work. Its major findings were: (1) The majority of the participants chose to illustrate a mix of teacher- and student-centred beliefs, content knowledge (CK), and positive emotions about themselves and their students. (2) Those drawings that reflected teacher-centred beliefs were more likely to contain depictions of CK and mixed emotions, whereas those that indicated student-centred beliefs were more likely to depict pedagogical content knowledge (PCK) and positive emotions. (3) Around 40% of participants who specified knowledge and emotions in their drawings seemed to feel personally more comfortable when their teaching was focused on CK. (4) Thus, in contrast to prior studies that reported mixed findings, the present research might imply that teacher educators should place greater emphasis on developing pre-service teachers' PCK than their CK, with the aim of building teachers' student-centred beliefs. (5) Lastly, we propose the term "affect-laden teacher knowledge" for the knowledge captured by the drawing task, and discuss the implications of using such knowledge in teacher education. [ABSTRACT FROM AUTHOR]

We report on an action research study conducted by two mathematics teacher educators in the United Kingdom and Hong Kong. The project consisted of three phases, the first two taking place in our respective teacher education courses and a final phase in which prospective mathematics teachers from both locations engaged in dialogue through a speculative fiction task. Our aim was to explore how our prospective mathematics teachers can be supported in becoming mathematics teachers for sustainable futures by innovating our own mathematics teacher education curricula. This study suggests that generative methods which support teachers in speculating on paths to potential futures as teachers of mathematics, can provide access to how prospective teachers negotiate issues in relation to the climate crisis and ways in which they conceive of related changes in their practices. By identifying the aspects of mathematics teaching that are viewed by the prospective teachers as contingent, and through offering tasks that support an expansion of this view, teacher educators are better placed to support the development of teaching practices needed for sustainable futures. [ABSTRACT FROM AUTHOR]

In this study, we explored early childhood and elementary preservice teachers' science and mathematics teaching efficacy to elucidate pathways to improve teacher preparation programs. Quantitative survey and open-ended responses data were collected from 180 preservice teachers from four universities in the United States. Multilevel ANCOVA and regression suggested that the number of science and mathematics courses taken by preservice teachers was associated with teaching efficacy beliefs, but not with outcome expectancy. Together with evidence from open-ended responses, we argue that besides science and mathematics content courses, preservice teachers also need pedagogical knowledge, hands-on teaching experiences, specialized training opportunities (e.g., workshops), and teaching-related resources (e.g., curriculum, technology) in order to increase the confidence in their potential impacts on students' science and mathematics learning. [ABSTRACT FROM AUTHOR]

The overall purpose of this study was to investigate the role of personal relevance in conceptual change. First, we used an experimental design to investigate the role of augmented activation—which directly implicated teachers' personal prior beliefs about mathematics learning and instruction—and refutational text manipulations on short and long-term conceptual change in preservice and inservice teachers' constructivist beliefs about mathematics to test for a mechanism of change. Second, we examined the relationships among affect, cognitive processing, and conceptual change to clarify our understanding of the mechanisms of the conceptual change process and to empirically test key hypotheses in the Cognitive-Affective Model of Conceptual Change (CAMCC). Our results indicated that messages that heighten the personal relevance and challenge to prior beliefs with contrary evidence (i.e., augmented activation) produced conceptual change in preservice and inservice teachers' mathematics beliefs, whereas there was no consistent effect of refutational text. We also found support for several key pathways in the CAMCC, with implications for conceptual change theory and teacher education. [ABSTRACT FROM AUTHOR]