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Ongoing concern about poor learner performance in mathematics has led to wide-ranging research on the subject, globally and in South Africa. Among the remedies identified is the reformation of pre-service teacher (PST) education programmes in a way that supports the acquisition of professional skills for pre-service teachers. Developing PSTs' reflective practice (RP) is a significant component of the desired reformation. Our research explored PSTs' RP development in the context of video-based mathematics lesson analysis. The aim was to contribute knowledge towards strengthening mathematics PST education and to report on whether increased benefits accrued from working with PSTs in small groups, guided by an experienced facilitator, as compared to whole-class lecturing. We draw on this extended analytic framework to compare two sets of reflections written by four selected PSTs based on viewing video recordings of their own teaching. One set was written in August 2018 after the PSTs completed three lecture sessions on RP in a Mathematics Methods course. The other was written in September 2019 after the four selected PSTs participated in three small-group, facilitator-guided sessions. The findings indicate some shifts towards higher-level reflections in the latter set, although only two of the four PSTs reflected at the highest level (reflectivity) following the small-group sessions. Implications for pre-service mathematics teacher education and refinement of frameworks for delineating levels of reflection are discussed.

The connections between citizenship education and mathematics education have been the focus of theoretical development and attention by educators interested in issues of justice, equity, power, criticality, and citizen engagement with societal issues, across schools, universities, and adult education levels. In this survey article, we contribute to new knowledge in the field by identifying and describing three interconnected "layers of influence" on the praxis of teaching and learning: (1) perspectives from citizenship education and mathematics education (e.g., kinds of citizenship, critical thinking in mathematics education); (2) institutional factors (e.g., policy, curricula, implementation within education systems); and (3) emerging influences (e.g., changing skill demands, innovations from communities of practice). In exploring the connections between citizenship education and mathematics education, we go beyond extant theory development and point to influences such as global disruptions, societal changes, systemic structures at the national and local levels, messaging in the media, and the role of teachers and learners. The holistic analysis of these influences enables identification of tensions and dilemmas, and issues of identity, autonomy, adoption, and systemic change. Together these point to multiple implications for educators, policy makers, and researchers aiming to enable informed and engaged citizens.

Assessments, in particular high stakes assessments, impact the nature of teaching and learning. Given this, the goal of citizenship if seen as important needs to feature within high stakes school exit assessments rather than only as part of curriculum and assessment policy rhetoric. South Africa's Mathematical Literacy (ML) curriculum foregrounds critical democratic citizenship. We analyse the ML Grade 12 exit assessments from their start in 2008 to 2020 to understand the emphasis placed on critical citizenship and how this emphasis has shifted over time. The literature base links critical citizenship orientations with reasoning and reflecting questions, so we focused on examination questions in this category. Our findings show shifts away from critical citizenship related agendas towards foregrounding a life preparation orientation for the self-managing person. Linked with this shift, we note a move away from general societal contexts towards more personal/individual contexts and moves from almost entirely national contexts to inclusion of global contexts. We noted movement from more open-phrased questions towards closed 'check figure calculated is valid'-type questions. Assessment memoranda suggest assessors view these questions as reasoning items, eroding the critical citizenship agenda. While increasing numbers of students are taking ML rather than Mathematics, average performance stands at around 40%. This points to limited and diminishing access to mathematical reasoning and reflecting for critical democratic citizenship. The paper highlights ways in which analysis of examinations over time can provide a window into the presence or absence of the citizenship agenda in mathematics education.

Background: Mathematics education is a significant issue in the South African context. Learners' achievement levels are markedly low as suggested by both national and international studies. The teaching and learning of fractions in particular have been identified as challenging. Aim: The aim of this article is to share some of the outcomes derived from a series of lessons in which aspects of music (note values) were integrated into the teaching of fractions in primary school. Setting: The study was conducted in a Grade 5 class in an independent school in the Eastern Cape, with readily available resources at hand. Methods: The broader study was an action research case study. It employed qualitative methods of data collection, based on cycles of critical reflection and adjustment, including feedback from learners and critical peers. Results: Findings highlighted the value of integrating music and mathematics as a teaching and learning strategy. Learning support materials and activities that promoted curriculum integration were designed. The discussion highlights benefits of these integrated lessons. Conclusion: We conclude by suggesting that teachers explore synergistic opportunities across mathematics and music as subjects. In particular, we suggest curriculum integration to support the teaching of fractions in the primary grades of schooling. Our hope is that this article will encourage teachers to develop their own integrated strategies for enriching their teaching of mathematics.

The coronavirus disease 2019 (COVID-19) pandemic and the resulting school closures in South Africa necessitated a major shift in how to support learners' ongoing mathematics learning. For 10 weeks learners were strictly confined to their homes with restrictions that prohibited seeing any person outside of their household. The only means to access learners and parents in their homes was to reimagine our South African Numeracy Chair Project work and transform it from predominantly face-to-face interventions to digital modalities. As a result, we initiated a project of digital resource development and distribution, particularly focused on our local community in the Eastern Cape. Twenty-two existing resources and 36 purpose-designed resources were shared via Facebook. Through in-depth post hoc reflection of the rapid digitalisation of our materials and ways of working we address these questions: (1) In relation to learners' new 'ecology of learning' during lockdown what digital access modality and platforms were most fit-for-purpose in sharing mathematics learning resources? (2) What principles informed resource design and adaptation for digital distribution and use? (3) What dilemmas were confronted in making decisions about resource design and distribution?. These questions are answered through a document review and post hoc reflections on the noted dilemmas. We share some feedback received and discuss implications of our work and the dilemmas confronted for the provision of quality digital resources for supporting mathematics learning in historically disadvantaged and under-resourced communities in a post pandemic world.

The COVID-19 pandemic continues to present severe challenges to the education sector more than 2 years after the first case was detected. We explore the strategies South African teachers used to support continued mathematics learning at home during the COVID-19 pandemic across different stages of the response to it and across different contexts. We explore these strategies, first, in relation to the initial shift to emergency remote teaching when learners needed to be reached in their homes under severe lockdown regulations, then through the gradual reopening of schools later as regulations were relaxed. Activity theory informs our perspective on the way in which teachers worked to mediate learning across school and home activity systems. Twenty-five Grade 4-7 mathematics teachers from the Eastern Cape responded to two questionnaires given at the start of the COVID-19 lockdown period and during the phased return to school. Questions focused on the strategies used to support mathematics learning. The results show that strategies focused on engaging caregivers through various technologies and getting resources into the home. WhatsApp, a free internet-based messaging service, was the most frequently used communication app across all types of schools for both messaging parents and sending instructional material and support in the form of videos, pictures and text messages. Department issued workbooks and teacher designed work packs were key resources sent to homes. Differences are evident in the range of use of different technologies across wealthier and poorer schools. Primary teachers' voices inform possible ways forward for the purpose of managing young student mathematical learning gaps and meeting ongoing learning needs.

Background: The study on which this article is based investigated the Mathematics Knowledge for Teaching (MKfT) that a well experienced Grade 2 teacher utilized when teaching counting. Aim: In this paper we share excerpts from one of the lessons of this Grade 2 teacher, which we analyzed to illuminate the various domains of MKfT and their interconnectedness in the teaching of counting. Setting: The research was conducted in a former Model C school in the Eastern Cape province of South Africa. Method: Using a case study methodology, 15 Grade 2 mathematics lessons were observed, video recorded and transcribed. Two formal interviews based on two selected video-recorded lessons were conducted to understand this teacher's practice. The data were analysed using Deborah Ball and colleagues' MKfT framework. Results: The study found that Foundation Phase mathematics teaching requires the knowledge and tactful employment of all six knowledge domains as described in the work of Ball and colleagues. The Knowledge of Content and Teaching (KCT) domain, was found to be essential in teaching counting in Grade 2. The other five domains supported and informed the KCT domain. Conclusion: We suggest from the insights gained here that research examining the MKfT that competent teachers draw on in teaching Foundation Phase mathematics could assist in developing curricula for in-service and pre-service teacher education programs.

Background: The underperformance of South African learners in literacy and numeracy is a source of concern, especially when learners move from Grade 3 to Grade 4. Aim: This article reflects on the reading and comprehension challenges of English language learners (ELLs) in the Grade 4 2013 mathematics Annual National Assessments (ANAs). Setting: The study took place in two primary schools that served relatively less affluent sectors of the community in the Eastern Cape. Learners were IsiXhosa speakers learning mathematics in English. Methods: A sample of 26 out of 106 isiXhosa-speaking Grade 4 learners in the two schools participated in task-based interviews (focused on ANA questions) in which reading and linguistic mediation was provided. While the broader study (from which this article derives) revealed learners' challenges in reading, comprehension, transformation and process skills, here the focus is on findings related to reading and comprehension skills, which are foundational to accessing written assessment items. Results: Interview excerpts show the negative influence poor English reading and comprehension skills had on learner access to questions and their subsequent performance in the ANA. Conclusion: The article challenges the validity of assessing ELLs' mathematical competence in English ANAs and draws implications for strengthening ELLs' language and mathematical proficiency in the Foundation Phase

This article investigates the participation enablers and learning affordances identified by teachers through participation within an in-service community of practice (CoP) of primary teachers called the Numeracy Inquiry Community of Leader Educators (NICLE) in the Eastern Cape. The article draws on three qualitative sources of data: the annual teacher questionnaires of 42 participating teachers, interview data from 8 of the 42 sampled teachers and reflective journal entries of these 8 teachers over the first 2 years of NICLE. All three data sets point to teachers foregrounding the affordances and enablers of NICLE participation across the fundamental elements of a CoP, namely domain, community and practice. We illuminate the way in which teachers' identification of learning affordances relates to these three structural features of a CoP. In concluding, we argue that explicit consideration of these structural elements, and their interrelationship in the design of in-service programmes, could enable clearer articulation of programme aspects and support reflection on the coherence between teacher feedback on these as programmes evolve.

In this paper, we share the results of the piloting of national diagnostic assessments for strategic calculation with Grade 3 learners in South Africa. The diagnostic assessment pilot intervention was focused on promoting strategic use of calculation strategies and aimed to move learners on from the concrete one-to-one counting methods that persist in this grade and into higher grades. Working with a broader team of mathematics education specialists, including international leaders in the field and department of education representatives, we designed a series of assessments that focus on key calculation strategies such as bridging through ten. Each assessment, comprised a pre- and repeat post-assessment, was accompanied by interim lesson starters for teacher use in eight 10-min mental mathematics sessions. These were designed to develop learner fluency in each of the focal strategies and related skills. The pre- and post-assessments allow teachers to track improvement in student learning. The pilot focused on the "bridging through ten" strategy in seven classes across the Eastern Cape and Gauteng provinces. Positive results indicate that the format of these assessments paired with the lesson starters is potentially useful for broader national trialling and implementation. This work feeds into the need for diagnostic assessments that inform teaching focused on strategic efficiency rather than simply accepting correct answers produced through highly inefficient methods.

Reflective practice is a crucial element of professional growth that is gaining in popularity in teacher education, yet the ability to reflect is a skill that is neither natural nor easy to develop. This paper reports on an investigation that sought to establish if pre-service teachers at a South African university -- in the process of learning to reflect on practice through analysing video-recorded lessons -- reflected differently when reflecting on their own practice from the way they reflected on the practice of other teachers. Pre-service teachers were introduced to the Six Lens Framework as a tool to aid reflection on mathematics teaching. The authors compared two sets of reflections written by four pre-service teachers (PSTs) who participated in the study. One set was based on a video-recorded lesson of another teacher's practice while the other was based on a video-recording of their own practice. The study found that the PSTs' reflections in both cases were generally at the lowest level of the reflection spectrum. They mostly described classroom events rather than analysing the lessons to provide explanation suggestions, or reflectivity. We found, however, that all four PSTs reflected at substantially greater length on their own lessons than on those of other teachers. Furthermore, three of the four teachers' reflections on their own practice focused on mathematical rather than general aspects and provided more suggestions for improvement than their reflections on the practice of other teachers.

Research that focuses on teacher identity is gaining traction as researchers argue that teachers mediate more than mathematical knowledge and skills in the classroom. This research tends to be underpinned by a social constructionist orientation, which foregrounds epistemology over ontology. This orientation is limiting for research that wishes to understand the base conditions that enable or constrain the expression (i.e. both communication and action) of teacher identity in teaching primary mathematics. The paper suggests that this requires research that explores the interaction between structure, culture and agency in the expression of teacher identity in teaching mathematics in primary school. The study argues that a social realist orientation is of value to research on teacher identity. From this perspective, teacher identity is defined as the manner in which teachers express their roles as teachers. As the paper is primarily theoretical, the exemplification is limited to two primary school teachers' expression of only one role namely effective communicator of mathematics. It demonstrates what social realism enables, that is, not illuminated in research underpinned by a social constructionist orientation. The argument made in this paper elucidates how social realism supports a deep analysis of the structural and agential conditions that enable and constrain teacher identities.

This article explores the power of language to either include or exclude certain groups of students from genuine opportunities for mathematical sense-making. The substantial increase worldwide in the number of students learning mathematics through a language other than their primary language makes this a particularly urgent issue. This paper focuses on the South African situation, where, because English is widely perceived as the language of opportunity, it is, by grade 4, overwhelmingly the chosen language of learning and teaching. The epistemological and pedagogical consequences of this choice are evidenced in the poor performance of the country's students on national and international assessments of mathematical proficiency. Drawing on research literature around language immersion education models and the extent to which these align with certain key principles of second language acquisition, this position paper motivates for a stronger and more sustained commitment to providing students, particularly those from marginalized and vulnerable communities, with opportunities for becoming both bilingual and biliterate. Empirical data from two South African grade 4 mathematics classrooms are used to illuminate aspects of the mathematical sense-making challenges students and their teachers face without such commitment.

In this paper, I argue that the establishment of after-school mathematics clubs in early grades holds rich potential for supporting the development of increasingly participatory and sensemaking maths learning dispositions. Within the South African Numeracy Chair project, lead by the author, multiple after-school mathematics clubs have been set up for learners in Grades 3-6 across Eastern Cape schools. These clubs are a complementary initiative to teacher development, aimed at improving low levels of numeracy learning across the majority of schools in the province. Two sources of data, learner interviews and teacher questionnaires, from one case study club, are shared in this article to illuminate the potential such clubs hold in developing increasingly participatory mathematics learning dispositions.

This paper illuminates challenges confronting teachers and students at the literacy/numeracy interface in contexts where students have not developed sufficient English language proficiency to be learning mathematics through English but, due to socio-politically and economically driven perceptions are being taught in English. We analyse transcript data of classroom talk in a South African grade 4 mathematics lesson on fractions. Together with interview data, the lesson data highlight some of the consequences students' diminished access to their home language appear to have on their access to mathematical meaning-making.

Identity research in mathematics education has become increasingly prominent over the past two decades. In the last few years, there have been several reviews of identity literature in the field of mathematics education generally, or specifically focused on mathematics learner identities or mathematics teacher identity. We begin our paper by summarizing the key findings of these reviews, pointing to various categorizations proposed by their authors, and the key critiques raised therein. We then report on our more recent review of identity literature in mathematics education published in the top twenty mathematics education journals over the past 5 years (47 articles in total). This review enables us firstly to speak descriptively about the extent to which the field is evolving (or not) in relation to earlier findings (dominant regions, focus of research, methods and perspectives used). Secondly, following deeper analysis of the papers, we speak to the way in which the field is addressing (or not) key critiques raised by reviews. Our analysis points to several theoretical, methodological and empirical absences and challenges requiring further engagement. We further highlight key absences in the research, particularly a lack of cross-national comparative studies and studies that connect learner and teacher identities. We then provide a summary discussion and analysis of the contributions of the present special issue papers and engage with how these take the field forward. Finally, we engage with the implications of our analysis and recommendations for future directions for research.

This article addresses the question: Why teachers of mathematics have yet to 'take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of teachers' identities. In so doing, we show how post-apartheid changes in systemic roles of teachers create contradictory tensions for teachers as these bring their own mathematical learning and teaching experiences into contradiction with the new post-apartheid roles they are mandated to enact. We examine how this contradiction, together with beliefs about mathematics, pedagogy and learners, is expressed in the teaching of grade 3 mathematics. We maintain that the complementarity between teachers' beliefs and old systemic roles provides an explanation for why teachers of grade 3 mathematics have yet to 'take-up' progressive roles. The implications point to the need for teacher development that creates enablers that lead to changes in classroom practices that align with policy-designated, progressive roles in teaching mathematics.

A key intervention of the South African Numeracy Chair Project (SANCP) since 2011 has been the introduction of mathematics (or maths) clubs, which occur in the out-of-school time space. In 2016 the maths club concept was developed into a 15-week Pushing for Progression (PfP) teacher development programme which supports primary school mathematics teachers to run clubs beyond the SANCP local area. Expanding intervention models beyond local schools is imperative in the second phase of the SANCP (2016-2020). Working from a mixed methods methodological approach, the researchers collected pre- and post-data for a 4-operations assessment of the entire PfP programme. In this article they share learner data from one of the nine teachers who participated in the PfP maths club programme in the Uitenhague District, Eastern Cape, South Africa, to illuminate how partnerships between academics, district officials and teachers can enable powerful student learning in the club space. They argue further that within the tightly focused development programme run by teachers in this one district, it is possible for learners to make substantive progress in mathematical proficiency (MP) (especially procedural fluency and conceptual understanding) when comparing scores and learner methods between a pre- and post- assessment.

This paper proposes a transdisciplinary framework to allow for a multifocal exploration of classroom talk practices. It draws on data from a broader study of talk in South African Grade 4 mathematics classrooms where the language of teaching and learning (English) was the home language for neither the teachers nor their students. Lesson transcript data from one teacher's lessons on fractions are used to demonstrate how working with three strands of conceptual insight from the disciplines of psychology, sociology and linguistics conduces to a potentially richer understanding of a teacher's use of classroom talk in mediating her students' mathematical understanding. By drawing on elements of Vygotsky's sociocultural psychology, we make visible in the lesson data the ways in which this teacher used the 'everyday' in trying to navigate her students' towards more 'scientific' conceptualizations of unit fractions. By then taking up aspects of Bernstein's sociological work, we articulate, and make visible, how societal circumstances impinge on students' access to exploratory mathematical discourse needed for epistemological access to abstract and generalized mathematical concepts. Finally, through Halliday's work on the power of particular linguistic registers for meaning-making, we highlight challenges in learning mathematics in and through a second language and reveal the constraints placed on students' opportunity to maximally exploit the distinct forms of meaning contained within the mathematics register.

In this paper we examine the extent of the focus on number sense, enabled and accompanied by the development of efficient strategies for mental maths, in the foundation and intermediate phase. We do this through documentary analysis of the Curriculum and Assessment Policy Statements (CAPS) for these phases and the Annual National Assessments (ANAs). We argue that number sense and mental agility are critical for the development and understanding of algorithms and algebraic thinking introduced in the intermediate phase. However, we note from our work with learners, and broader evidence in the South African landscape, that counting-based strategies in the foundation phase are replaced in the intermediate phase with traditional algorithms. We share experiences in the form of vignettes to illuminate this problem. Whilst literature and the CAPS curriculum emphasise the important role of mental computation within number sense, we note that the ANAs do not include a "mental mathematics" component. This absence in assessment, where assessment often drives teaching, is problematic. We conclude with the suggestion that research be conducted into the viability/appropriateness of an orally administered mental mathematics assessment component in the ANAs as a way to establish a focus on number sense across the foundation and intermediate phases.

In this article we describe the design process for an after-school Grade 3 mathematics club, based on our experiences running a pilot club in a 2011 research and development project. Working from a sociocultural perspective, we show the progression from an initial multifaceted design to a much simpler, more learner-centred design that speaks directly to our research foci and one which is based on empirical evidence. Our experiences have brought to light the entwined and dialectical nature of the data collection and design processes and the significance of the post-club reflection sessions as a powerful data collection instrument for planning the club sessions. Furthermore, we identify and shape the zone of proximal development for the purposes of our club as the critical design concept for each club session for each learner.

It is argued in this paper that there is an absence of literature relating to research on learner mathematical dispositions, particularly with young learners. Drawing on Kilpatrick, Swafford and Findell's (2001) five interrelated strands of mathematical proficiency, which include: conceptual understanding, procedural fluency, strategic competence, adaptive reasoning and productive disposition, it is argued that there has been little engagement with productive disposition in the field of mathematics education and how we might access and assess this strand. Despite competence in all strands being essential for mathematical proficiency, literature and assessments that seek to establish learner levels of mathematical proficiency have tended to focus on the first four and have neglected the last; productive disposition. Finding ways in which to access student mathematical learning dispositions can be challenging, especially with young learners who struggle to articulate their views. An instrument is shared that the author has designed with doctoral fellow, Debbie Stott, in order to access and assess the productive disposition of learners participating in maths clubs run within the South African Numeracy Chair. The findings that emerge in one Grade 3 club with six learners is shared. These findings are related to the data collected through instruments that assess the other four strands of mathematical proficiency. This enables a holistic picture of learner's mathematical proficiency as intended in the conceptualisation of the interrelated five strands of proficiency.

This article offers reflections on task design in the context of a Grade R (reception year) in-service numeracy project in South Africa. The research explores under what conditions, and for what learning purpose, a task designed by someone else may be recast and how varying given task specifications may support or inhibit learning, as a result of that recasting. This question is situated within a two-pronged task design challenge as to emerging gaps between the task designer's intentions and teacher's actions and secondly between the teachers' intentions and students' actions. Through analysing two teachers and their respective Grade R students' interpretations of a worksheet task, provided to teachers in the project, we illuminate the way explicit constraints, in the form of task specifications, can be both enabling and constraining of learning. In so doing we recast this "double gap" as enabling productive learning spaces for teacher educators, teachers and students.

From a Marxian/Vygotskian perspective, learning is social in origin and it happens in the presence of others that are more knowledgeable. Extending this view to the learning of mathematics, such learning also becomes inseparable from the presence of others (people and artefacts). Researchers over decades have studied different interactions to see how such learning with others occurs, what is the role of the (more knowledgeable) other, and if at all this role alternates between the participants. In this paper, we looked at a 5-year-old's (Lila) interaction with her mother (Mellony) and a television remote control as Lila attempted to count in threes using the three by three physical layout of the numbered buttons 1-9 on the remote control. We specifically looked at the emergence of the Zone of Proximal Development (ZPD) as Lila's attention was caught by the properties of the remote control and by her mother's questions. We also pay attention to how the role of the more knowledgeable other alternates among the participants. Our findings suggest that Lila, at times, used resources provided by the physical properties of the remote control and sometimes, used resources provided by Mellony to think about the task of counting in threes. In Lila's interaction, we interpreted a multi-directional ZPD as the role of the more knowledgeable other alternated between Mellony, Lila and the remote control.

The South African people have a history of resistance to domination, injustice and inequality. It is therefore surprising that there has been an increase in social inequality, since the start of political democracy in 1994. Recently, the five teachers' unions refused to administer the Annual National Assessments. This action indicates some resistance to domination. In this article, we will first explore the concept of professional teacher agency in the light of teaching, both as a profession and as a vocation constrained by prior experience and social context. Second, we will draw on the current assessment context to outline its problems and perspectives, and consider within this context the enabling and constraining conditions for teacher agency. Third, we will discuss how assessment as a tool for monitoring teacher performance may impede the conditions for quality education. Finally, we would like to propose that the delivery of a good quality education requires adopting a teacher education model which supports agency, and in which the design of diagnostic assessments is locally responsive.

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]

In this article we share the findings emanating from a 20 year (2003–2022) review of South African Early Grade Mathematics (EGM) research articles published in key international and local/regional journals. The review shows a substantial increase in the volume of published EGM articles in the second decade (2013–2022), nationally and internationally. These increases are marked across the key clusters of articles seen in our analysis: Teachers and Teaching, Learners and Learning, Language and Multilingualism, and Assessment. The emergence of the South African Journal of Childhood Education as a phase-specific journal in 2011 has been a particularly important factor within the increasing volume of publication. We note too, that whilst the base of publication across institutions has broadened in the local/regional publication space, international publications are tied primarily to projects linked with established South African Research Chairs. [ABSTRACT FROM AUTHOR]

This paper explores Grade R teacher expressions of themselves as teachers of numeracy, and as teachers working in the transition phase of schooling, after their participation in a research-informed numeracy-focused professional development (PD) intervention. The Early Number Fun (ENF) programme had 33 teachers from 17 Eastern Cape schools participating monthly over 18 months. Inclusion of Grade R to schooling is relatively new following policy changes in Early Childhood Development. In-service support tends to be subsumed within the Foundation Phase without attention to the specialised nature of Grade R that emphasises learning through play. ENF focused on the development of specialised teacher knowledge to support the development of early number sense through play, particularly with conceptual manipulatives. Data sources include three pre-, during, and post-PD questionnaires. Findings reveal that participation in ENF, and access to multiple research informed numeracy resources, supported teachers in their relationship with numeracy and the teaching thereof. Questionnaire responses indicate greater confidence in themselves as knowledgeable teachers of numeracy and that belonging to the ENF community supported navigation of positive professional identities within the mixed messages of policy. The findings contribute to the community-supported field of Grade R PD research and early numeracy teaching and learning. In concluding we discuss implications of this research for Grade R PD and for policy. [ABSTRACT FROM AUTHOR]

This paper focuses on the Southern African Association for Research in Mathematics, Science and Technology Education's (SAARMSTE's) role as a platform supporting research dissemination and connecting researchers in early grades mathematics (EGM) in the Southern African region. A review of the Long Papers in SAARMSTE over the last 20 years supports the finding of the other review papers in this Special Issue: that there has been substantial growth of attention to EGM since 2013. However, two distinctions are marked when looking at conference papers rather than journal papers. Firstly, there is a particularly large expansion of work in the last 5 years, with a broadening base of participation in this work. Second, looking across all the formats of conference presentations indicates SAARMSTE's role in supporting and building EGM as a key focus of research attention, and bringing together regional and international groups with interests in this area. Given that conference proceedings usually offer a broader picture of emerging interests than journal papers, we reflect on the range of foci of attention within EGM in the SAARMSTE Proceedings, and trends within this. These trends also help us to point to areas that are likely to be of key interest in the next decade. [ABSTRACT FROM AUTHOR]

The reported research attempts to trace possible reasons for third grade learners' limited progress in numeracy in a low socioeconomic status (SES) South African context. This is done through two lenses, both stemming from Sfard's commognitive (The term "commognition" has been offered by Sfard (2008) as an amalgam of "cognition" and "communication," thus expressing the unity of these concepts. Since its original appearance, some authors (including Sfard herself) have preferred using the word "communicational" to describe Sfard's framework. We chose to stick with "commognitive" because we believe it clearly points to the specific theoretical stance presented in Sfard (2008), whereas "communicational" might point to many other theories or frameworks that have something to do with human communication.) framework. One lens aims to analyze two learners' (Mina and Ronaldo (all names are pseudonyms)) mathematical and identity discourse both in one-on-one interviews and in a small group "math club" lesson led by the second author. The other examines the mathematical milieu in which these learners have participated through the analysis of a school mathematics lesson which exemplifies prevalent instructional practices in this milieu. Relying on the distinction between ritual and explorative participation, we show that while Mina was acting in an extremely ritualized manner, Ronaldo was more explorative in his actions. However, the milieu, as seen in the school lesson, encouraged almost exclusively ritual participation. Thus, while Mina was identified as a good student, Ronaldo was identified as an outcast or "troublemaker." We conclude by drawing implications to the tenacious nature of rituals in the mathematics classroom and the effects that these rituals may have on students' identities.

In this article, South Africa provides an "outlier" case study that illuminates the tensions that exist between interventions, aimed at tailoring initiatives to the vastly unequal contexts of schooling, and the systemic "one size fits all" interventions of the state. I draw on the experiences of two teachers involved in an in-service teacher intervention project, to argue that our current curriculum and systemic "support" fail to accommodate the extreme backlogs in learner knowledge.

This paper focuses on patterns of post-apartheid learner migration between schools previously segregated along racial lines. South Africa's shift away from cultural and linguistic isolationism and the ways this has impacted educational arrangements in this country, most particularly in relation to the language of learning and teaching, affects mathematics teaching and learning in complex ways. We focus on how changes in the demographic make-up of some schools have affected the teaching and learning of mathematics by drawing on two case study vignettes in historically different schools. The vignettes are used to illuminate our discussion and to raise key questions requiring further research.