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Please note that all times are shown in the time zone of the conference. The current conference time is: 17th May 2024, 05:42:28am GMT

 
 
Session Overview
Session
24 SES 12 A: The Role of Teachers and Leaders in Shaping Mathematics Education
Time:
Thursday, 24/Aug/2023:
3:30pm - 5:00pm

Session Chair: Vuslat Seker
Location: Hetherington, 216 [Floor 2]

Capacity: 20 persons

Paper Session

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Presentations
24. Mathematics Education Research
Paper

The Role and Responsibilities of Primary School Mathematics Leaders in England’s New Schooling Landscape  

Georgina Hudson1, Catherine Gripton1, Andrew Noyes1, Toby Greany1, Thomas Cowhitt2

1University of Nottingham, United Kingdom; 2University of Glasgow

Presenting Author: Hudson, Georgina; Gripton, Catherine

England’s move to a marketised, new public management schooling model has impacted heavily on primary schools (DfE, 2010).  The ongoing changes have created a fragmented and constantly shifting school system which even a decade ago was described by Stephen Ball as “messy, patchy and diverse” (Ball, 2012). Over one third of schools have moved from local government oversight under a policy of ‘academisation’, although numbers vary between regions.  

The academisation policy (HMSO, 2010) has also altered arrangements for teacher Continuing Professional Development and Learning (CPDL). Some of the previous mechanisms for accessing CPDL provision having been lost, adapted or replaced (Greany, 2020). Subject leaders in England’s primary schools have oversight of curriculum, pedagogy and attainment, as well as subject CPDL, meaning changes to CPDL provision have impacted their work in ensuring access to high quality CPDL provision for colleagues. This paper reports on findings from a Wellcome-funded project exploring local learning landscapes for CPDL (Greany et al., 2023), focusing on the case of mathematics in primary schools, and particularly on the challenges facing mathematics subject leaders. 

CPDL for primary mathematics is almost unrecognisable from that of twenty years ago (ACME, 2016). Previously Local Authorities (LAs) were the key CPDL coordinators and providers for mathematics, often mediating national programmes at local level (e.g. National Numeracy Strategy, DfEE, 1999). The previous LA role has been replaced by a patchwork of regional Maths Hubs that implement national development priorities and have much larger footprints. In addition, the creation of legally-constituted groups of school academies (Multi-Academy Trusts or MATs) has enabled schools to pool resources, share expertise, create CPDL programmes, and appoint Trust subject leaders. MATs can use their collective buying power to secure preferred providers of CPDL (Greany & Higham, 2018) and might mandate particular schemes/textbooks. Where education businesses and in-house CPDL once supplemented the core LA offer, these have increased significantly as part of a self-improving, school-led system.   

The fragmentation and diversification of the CPDL nexus has created a professional learning landscape that is complex to access, understand and navigate. With growing numbers of increasingly strong MATs, weakened LAs, national patchworks of curriculum hubs, expanding edu-business and the continued option for in-house CPDL, mathematics leaders in primary schools no longer have access to the entire CPDL offer in their locality. They are often isolated (if not part of a MAT) and there is no longer any well-established map of that local CPDL offer. 

Drawing on interview data from 19 primary schools in three localities in England, we demonstrate how the role of the mathematics lead has fundamentally changed and is now significantly more variable between schools. These key staff are typically responsible for orchestrating much of the CPDL in their schools, yet the evidence points to widely differing levels of autonomy and training. Support for subject leaders is patchy; some are accessing professional networks of mathematics leaders, but many are not. Given the ongoing prioritisation of improvements in mathematics teaching and impact of CPDL on pupil attainment (Cordingley et al., 2015), greater support is needed for these mathematics leads. This should include consistent access to leader networks, knowledge exchange and sources of innovation. Evidence suggests that establishing more aligned, simplified, coordinated and collaborative local CPDL offers would increase coherence (Burns & Koster, 2016), reducing the workload burden on mathematics leads to provide so much of the CPDL themselves. It would also enable greater balance within a system where the knowledge of the subject leader is in danger of becoming a single point of failure for schools. This would in turn increase the quality and equity of mathematics CPDL across England’s primary schools. 


Methodology, Methods, Research Instruments or Sources Used
Following literature review and ethical approval from the University of Nottingham School of Education Research Ethics Committee, we selected three distinct localities in the south, midlands and north of England. These were an area of a city, a town and a Shire (mix of rural villages and more densely populated centres).  

Localities

City: A relatively dense school landscape where just over 50% of primary schools are academies, mostly based within one of the nine MATs that operate in the area: four small (≤ 5 schools), four medium-sized (6-15 schools) and one large (16+ schools).  

Town: Around two thirds of Town’s primary schools are academies. Most of these are members of the fifteen MATs which operate in the locality: six small (≤ 5 schools), five medium-sized (6-15 schools) and four large (16+ schools). The four large MATs run approximately one fifth of the town’s primary schools and all have headquarters outside of the locality.  

Shire: Approximately half of Shire’s primary schools are academies with most operating as part of the area’s eleven MATs: seven small (≤ 5 schools), three medium-sized (6-15 schools) and one large (16+ schools).  

Schools

For each locality, we sampled six or seven primary schools (~10% of the total) to reflect a representative range of schools (including size, type, age-range, disadvantage, attainment outcomes).  In each, a consenting senior leader, Mathematics Leader and class teacher were interviewed about the teacher CPDL in their school.  

Data analysis

Interviews were audio recorded, transcribed and coded using Nvivo with a three-tier code book developed from the project’s conceptual framework (devised during literature review).  Two members of the research team coded the data, with multiple, iterative sessions involving the project team of five researchers ensuring coding was checked with emerging themes and findings validated. Codes pertaining to primary subject leadership were extracted and summaries written describing each of the case study schools’ approaches to CPDL and subject leadership for mathematics. These were condensed and collated into a table for each locality summarising the responsibilities of the Mathematics Lead, the modes and tools for CPDL and the support provided for the subject leader (including access to their own CPDL, professional networks and senior leadership support).  

Conclusions, Expected Outcomes or Findings
Mathematics leads in primary schools now have substantial responsibility for the CPDL of their colleagues, predominantly through informal coaching and guidance. This is made more challenging by the range of modes of CPDL offered in schools, and by the conflation of support, monitoring and accountability activities.  The individuals that we spoke with were fully committed and hard-working, but only had partial understanding of the complex schooling system within which they operate, and little sense of how subject lead roles vary between schools.  

Mathematics leads have differing levels of autonomy; from operating within tight MAT-defined parameters, to complete freedom to access or create CPDL with little oversight or restriction. There are risks in both extremes. More restrictive contexts constrain professional judgement and reduce subject leaders’ ability to respond to teachers’ CPDL needs. Leaders with greater freedom have full responsibility for making effective and coherent choices, which requires high-level subject and CPDL knowledge as well as effective networks.  

Support for mathematics leads is inconsistent. Some access CPDL for themselves, whilst some belong to strong subject leader networks in their MAT. Many, however, do not have access to these types of peer networks. Leaders’ access to Maths Hubs was varied but the Hubs did provide some innovative and effective support to subject leaders when accessed. Better external support is needed in all our localities - and probably nationally – and should include access to subject leader networks and mathematics leadership CPDL. 

Finally, greater collaboration and coherence across the schooling landscape would support these primary mathematics leaders. Coordination of the local CPDL offer would aid navigation of the complex multi-source provision and support access to external opportunities to supplement those offered ‘in-house’. This would also facilitate subject leader networks across, as well as within, MATs and afford opportunities for shared sense-making.

References
Advisory Committee on Mathematics Education [ACME] (2016). Professional learning for all teachers of mathematics: Principles for teachers, senior leaders and those who commission and provide professional learning’.  https://royalsociety.org/~/media/policy/Publications/2016/professional-learning-for-all-teachers-of-mathematics-final-12-2016.pdf  

 

Ball, S.J. (2012). The reluctant state and the beginning of the end of state education. Journal of educational administration and history, 44(2), 89-103.

 

Burns, T. & Koster, F., (eds) (2016). Governing Education in a Complex World, Educational Research and Innovation. Paris: OECD Publishing.

  

Cordingley, P., Higgins, S., Greany, T., Buckler, N., Coles-Jordan, D., Crisp, B., Saunders, L. & Coe, R. (2015) Developing great teaching: Lessons from the international reviews into effective professional development. London: Teacher Development Trust.

 

Department for Education and Employment [DfEE] (1999). The National Numeracy Strategy: Framework for teaching mathematics from Reception to Year 6. London: Department for Education and Employment.

 

Department for Education [DfE] (2010). The importance of teaching. London: HMSO.

 

Greany, T. (2020). Place-based Governance and Leadership in Decentralised School Systems: Evidence from England, Journal of Education Policy, 37(2), 247-268.

 

Greany, T. & Higham, R. (2018). Hierarchy, Markets and Networks. London: UCL Institute of Education Press.

 

Greany, T., Noyes, A., Gripton, C., Cowhitt, T. & Hudson, G. (2023). Local learning landscapes: exploring coherence, equity and quality in teacher professional development in England. Nottingham: University of Nottingham.  

 HMSO (2010). The Academies Act 2010. London: HMSO.


24. Mathematics Education Research
Paper

Mathematics Homework as an Intersection Between ‘feminine’ Caring Work and ‘masculine’ Mathematics Work

Lisa O'Keeffe1, Carolyn Clarke2, Sarah McDonald1, Barbara Comber1

1University of South Australia, Australia; 2St. Francis Xavier University

Presenting Author: Clarke, Carolyn

International concern has long focussed on the lack of girls and women engaged in STEM, including mathematics. Yet, it is predominantly women who provide academic support when their children are engaged in mathematics in the home in the form of homework. One reason for the prevailing gender disparity in mathematics participation more widely (a disparity not evident in outcomes or achievement levels) is the gendered nature of the discipline itself (Mendick 2005). The idea of mathematics as a masculine discipline is well established, with Bench et al. (2015, p.537) highlighting how STEM disciplines, including mathematics, have a “set of masculinized norms and expectations that limit approaches to scientific inquiry”. It is these norms and expectations that create an discursive environment in which those who do not either see their gender reflected or who perceive risk in engaging in particular gendered performances may not feel comfortable and/or valued within the discipline area. Mendick (2005) cautions that this does not mean the academic challenges of mathematics are different for girls, but instead highlights the differences regarding the social expectations and experiences they function within. While people who inhabit feminine subjectivities can, unsurprisingly, engage in masculine performances, they do so under different social expectations than boys and men and hence such activities (i.e. a masculine dominated subject like mathematics) can be less appealing to girls/women (Cheryan et al., 2009; Mendick 2005) or imbued with risk. For example, Mendick (2003) describes boys as engaging in masculine performances when they choose to study mathematics as a means of proving their intelligence. Yet, girls who also engage in masculine performances in relation to mathematics do so with a degree of risk to their feminine identities in the process. Simply put, masculine dominated environments – in terms of stereotypes, social norms and expectations – create an additional barrier for women and girls as they may struggle to identify themselves as being ‘good at mathematics’.

In terms of how feminine subjectivities play a role outside of the mathematics classroom, we are interested in how female caregivers negotiate mathematics, as a masculine-coded discipline, when it comes to supporting their school-aged children with their homework. Schools often rely on the assumption that caregivers “have time to dedicate to their children’s education, contributing to the functioning of the school in ways that are seldom recognized as work” (Griffith & Smith, 2005, 24). The reality of this is that schools rely on mothers to bridge the gap between school and home life, as it is well established that it is mothers who assume the greatest responsibility in children’s education at school and at home (Griffith & Smith, 2005; Lareau, 2000; Reay, 1998; 2004, Vincent, 2017). As a result, mothers place responsibility on themselves for children’s educational performance as well as being held responsible for this by others (Griffith & Smith, 2005; Lightfoot, 2004; Reay, 1998).

Mathematics homework, although taking place in the home, is a practice of school mathematics and as such is shaped by the structures and norms of both the practices and relationships relevant to the classroom context (Kemmis & Grootenboer, 2008). Therefore, the masculine characteristics of mathematics are identified as present within school mathematics contexts. In this paper we share the experiences of mothers with mathematics homework and discuss how their view of themselves as caregivers shapes the ways in which they engage with mathematics as a mothering (feminine) activity rather than mathematical (masculine) one.


Methodology, Methods, Research Instruments or Sources Used
The aim of this study was to better understand the female caregivers’ experiences of mathematics homework with children in the middle to upper primary years of schooling. In particular, we were guided by the following research questions:
• In what ways do these female caregivers engage with and support their children with their mathematics school and homework?
• How confident are the female caregivers in their ability to support their children with the mathematical language and approaches they are using at school?

Initial contact was made via social media, where female caregivers whose children are in years 3-6 were invited to share their mathematical experiences (previous schooling and everyday) with the research team. They were also asked about the ways they engage with and support their children with their mathematics schoolwork and homework and their confidence in doing so. The participants were then invited to take part in more in-depth interviews to better understand their experiences. A total of 13 female caregivers engaged in the initial phase. These 13 female caregivers who participated, represented the experiences of working with 1 or 2 of their children who were attending Years 3, 4, 5 or 6 in primary school in Australia, at the time of their involvement. This represented a total of 18 caregiver and child relationships, shared by 12 mothers and one grandmother.

Conclusions, Expected Outcomes or Findings
The mothers and grandmother in our study described a range of different personal experiences with mathematics and shared a range of emotional connections to mathematics from love to hate.  Additionally, the confidence levels of the participants suggested (not surprisingly) that the majority were more confident in their ability to complete everyday tasks than tasks categorised as school mathematical tasks.
The mothers and caregivers who had positive experiences in their own schooling were, unsurprisingly, more likely to have positive feelings and emotions in regard to helping with mathematics homework. This is a significant point as we know from Casad, Hale & Wachs (2015) that same-gender dyads are more likely to create influence, meaning that intergenerational negative experiences are likely to continue. That is, a mother with a positive schooling experience with mathematics is more likely to use positive language about mathematics and be more positive about interactions with school mathematics with their children. This is likely to have a strong positive impact on female children. Conversely, those with negative experiences, are likely to project negative feelings, attitudes and languages about mathematics. Yet, we found that the mothers and caregivers in our study all appeared to view mathematics homework through a lens of caregiving, or as part of the ‘role of the mother’ in helping their child. Viewing their experience with their children’s homework in this way allowed them to engage in mathematics as a feminine performance, and as a result, the negative dispositions they shared about their own experiences with mathematics didn’t hold them back from engaging in the practice of mathematics homework with their children.

References
Bench, S. W., Lench, H. C., Liew, J., Miner, K., & Flores, A. A. (2015). Gender gaps in overestimation of maths performance. Sex Roles, 72, 536–546.
Casad, B.J., Hale, P. & Wachs, F. L. 2015. Parent-Child Math Anxiety and Math-Gender Stereotypes Predict Adolescents’ Math Education. Frontiers in Psychology. 6, Article 1597.
Cheryan, S. , Plaut, V. C. , Davies, P. G. & Steele, C. M. (2009). Ambient Belonging. Journal of Personality and Social Psychology, 97 (6), 1045-1060.
Griffith, A. I., & Smith, D. E. 2005. Mothering for schooling. New York, NY: Routledge Falmer. Lareau, 2000;
Lightfoot, D. 2004. "Some parents just don't care", Decoding the meanings of parental involvement in urban schools. Urban Education, 39(1), 91-107.Kemmis & Grootenboer, 2008).
Mendick (2003) Mendick, H. (2003) Choosing maths/doing gender; a look at why there are more boys than girls in advanced mathematics classes in England, in: L. Burton (Ed.) Which way social justice for mathematics education? (Westport, CT and London, Praeger).
Mendick, H.  (2005a) A beautiful myth? The gendering of being/doing ‘good at maths’, Gender and Education, 17:2, 203-219.
Mendick. H. (2005) Mathematical stories: why do more boys than girls choose to study mathematics at AS‐level in England?, British Journal of Sociology of Education, 26:2, 235-251.
Reay, D. 1998. Class work: Mothers' involvement in their children's primary schooling. London, UK: Routledge Falmer.
Reay, D. 2004. Education and cultural capital: The implications of changing trends in education policies. Cultural Trends, 13(50), 73-86.
Vincent, C. 2017. The children have only got one education and you have to make sure it's a good one’: parenting and parent–school relations in a neoliberal age. Gender and Education, 29(5), 541-557.


24. Mathematics Education Research
Paper

Care in the Mathematics Classroom

Helena Vennberg1, Anette Bagger2

1Umeå University, Sweden; 2Örebro University, Sweden

Presenting Author: Vennberg, Helena; Bagger, Anette

This paper presents results from a part project on early assessment in mathematics, from a special educational perspective: Sustainable national assessment in mathematics - equity and quality in focus now and in the future. The focus is implementation of support for assessment in preschool-class and the teachers experience of this. Earlier results in this project indicates that some of the concepts used in the governing documents are not in harmony with the teaching culture in the early school years and that there is a risk of narrowing down the curricula and of “schoolification” (Bagger, Vennberg & Björklund, 2019). Bagger & Vennberg, 2019; Bagger & Vennberg, 2021). Policy work argues for early identification and support by a need to raise goal achievement, quality of teaching and to secure teachers assessment practices and support for learning so that it is distributed more equal (Regeringen, 2017). Hence, early detection and well-designed teaching for students is a target (Swedish Government, 2017). Research supports this as, early interventions and identification of students in need of support has been proven to make a difference (see eg Dweck, 2015; Holmes & Dowker, 2013; Cohen Kadosh et al., 2013; Kallberg, 2018; Mononen et al., 2014; Sterner, 2015; Vennberg, 2020).

Mandatory support for assessment in mathematics has been implemented in preschool-class, (six-year-olds) since 2020 and with a tryout 2019. Preschool-class is a first school year situated in both the curricula of the preschool and of the compulsory school, it is mandatory and has a curriculum of its own. These students, and often their teachers, had not before this first year of tryout experienced assessment in this form and the teaching culture is imprinted by both care and learning. Furthermore, the group of students starting preschool-class have very varied prerequisites. Some of the students might never even have been to preschool before their year in preschool-class. For all the children, this is a first experience of going to school and part of learning how to be a student. The purpose of the assessment material in preschool-class, called Find the Mathematics, is to impact the teachers' understanding, teaching, and the students' learning and consists of several parts. The intention is that the assessment will lead to early and systematic teaching in mathematics, which also has been proven to be positive for students' development of knowledge and positive identities in mathematics. It is supposed to be carried trough as a group exercise, in which students talk with each other and answers questions, are active and show their thinking in mathematics.

Assessment has had a way of taking over in classrooms, and sometimes learning is rather for assessment, than the opposite. Following from this, an expected challenge when implementing the material is to keep the care discourse that is an important part of teaching in preschool-class and at the same time provide high quality teaching. Watson (2021) has explored care of, for, and through mathematics teaching and then refers to “…care for mathematics in its fullest sense; care for students including knowledge of community; and these two are connected by care for their learning of mathematics’ (p. 91). Watson then shows that care for students learning mathematics, and the care for mathematics is interdependent. Without caring about mathematics and at the same time meeting high expectations and to be challenged, it is not possible to reach deep learning. The purpose of this paper is to explore opportunities and obstacles for the care of mathematics learning, in teachers experiences from preparing and working with the material, Find the Mathematics.


Methodology, Methods, Research Instruments or Sources Used
During the implementation period 2019, the preschool-class teachers were interviewed in focus groups of 4 teachers in two schools with varied student populations and socio-economical settings. One of the researchers visited the team of teachers as they got acquainted with the material and its teacher instructions, during the period they carried it trough and afterwards as they reflected on their work and the outcome. The conversations were recorded and the material itself and the instructions worked as a material for reflections. The focus in the interview was teachers’ own questions as well as aspects pointed out in the material as especially important and earlier research on national assessment in mathematics with young students.

After the interviews, they were transcribed. The two researchers thereafter selected all statements concerning the assessment of knowledge in mathematics, mathematics knowledge itself and students in need of support for their learning. The segments were thereafter coded and thematized in relation to when aspects of care for the learning was challenged or supported. We then derived from Watsons (2021) “elaborated didactic triangle to show sources of influence on the teacher’s care for the learning of mathematics” (p. 197). This model recognizes the learning environment in terms of not only the content, materials, and strategies applied in the classroom, but also stretches it to the community and family context. Relational and emotional aspects are also included in the care for the learner, besides cognitive care (care and knowledge of students' way of working and their cognitive prerequisites). Cognitive care implies that it is important to promote exploration, an active mind and to allow students to be challenged and to explore and learn ideas, generalities, and patterns. Finally, the care framework derives from the standpoint that both mathematical challenge and sensitivity to students is needed to stimulate learning.

Conclusions, Expected Outcomes or Findings
Five themes were identified when exploring the care of the learning in mathematics and opportunities and obstacles involved as teachers talked about their understanding and experience of the assessment material: fairness, adaptations, access, accuracy, and a limited range of forms of knowledge. These themes were identified at both schools but with a variation of solutions or reasons. In addition, the themes were intertwined. For students to get access to the material and for the teachers to get access to the student’s knowledge, adaptations needed to be made. If not, the assessment would not be fair. On the other hand, the teachers also felt hindered to provide support at times or fell into doubt if supporting one student would give an advantage in comparison to others. Accuracy and understand exactly what the student tried to express, which was especial challenging if they did not share language or if a student was shy or with-drawn. This was connected to relations and feelings of safety with both peers and teachers, the teachers pointed out that if this did not work – the student would not be able to be active and display their knowledge with accuracy. This also meant that it was important that the teachers managed to identify and meet needs in terms of relational aspects, mathematical knowledge and learning needs to carry out care of the learning in mathematics. We claim that this indicates that assessment is not only the achievement or knowledge per se that is important to retrieve information about for teachers to preschool-class students, but foremost how a student learns, understands, or can make use of the instruction provided. This in turn is at a high degree affected by teaching approaches stemming from the teachers’ competence, knowledge and understanding of the student, the knowledge assessment and the subject.
References
Watson, A. (2021). Care in mathematics education: alternative educational spaces and practices. Palgrave Macmillan, Cham, Switzerland

Skolinspektionen. (2014). Kommunernas resursfördelning och arbetet med segregationens negativa effekter i skolväsendet (Rapport 2014:01).

Skolverket. (2017). Grundskolan: Slutbetyg årskurs 9. Uppdelat per svensk och utländsk bakgrund. Hämtad 31-08-2017 från Skolverkets Internetbaserade Resultat- och kvalitets Informations System (SIRIS)

Skolverket. (2019). PISA 2018. 15-åringars kunskaper i läsförståelse, matematik och naturvetenskap. Stockholm: Skolverkets publikationsservice.


 
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