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Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).

Please note that all times are shown in the time zone of the conference. The current conference time is: 10th May 2025, 09:32:39 EEST

 
 
Session Overview
Session
10 SES 03 C: Mathematics Education
Time:
Tuesday, 27/Aug/2024:
17:15 - 18:45

Session Chair: Sverker Lindblad
Location: Room 005 in ΧΩΔ 01 (Common Teaching Facilities [CTF01]) [Ground Floor]

Cap: 40

Paper Session

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Presentations
10. Teacher Education Research
Paper

Negotiating Boundaries: Science and Math Teacher Candidates’ Conceptualizations and Enactments of Culturally Relevant and Inclusive Curriculum

Kelsey Darity1, Sibel Akin-Sabuncu2, Laura Vernikoff3

1Robert Louis Stevenson School, United States of America; 2TED University, Turkiye; 3Touro University, United States of America

Presenting Author: Vernikoff, Laura

Schooling in the 21st century has been particularly impacted by the movement of people, whether voluntary or involuntary. The European Commission (2023) anticipates over 130 million displaced people worldwide by the end of 2024, leading to previously unseen levels of diversity in the classroom. As stated in the ECER 2024 call, this “reality of mass migration and its impact on how we think of ourselves, our borders, and our identity” requires educators to reflect critically on their work and consider concrete ways in which they can teach all students equitably regardless of culture, language, and/or dis/ability (we use “dis/ability” to show that “disability” is a social construction that is in opposition to “ability,” not something that exists within an individual person).

Globally, we find ourselves in an age of uncertainty, but educators have been grappling with culturally relevant and inclusive curricula for decades. Culturally relevant pedagogies act as a response to changing student needs and have provided space for teachers to “link principles of learning with deep understanding of (and appreciation for) culture” (Ladson-Billings, 2014), as students have better learning outcomes when academic materials are made relevant to their lives (Gay, 2000) and their cultures and linguistic practices are maintained (Paris, 2012). European scholars have recognized the need for supporting teachers to work with diverse populations (Krulatz et al., 2018) and called for increased efforts by teacher education programs (Author, 2023; Subasi Sing & Akar, 2021) and school leaders (Brown et al., 2022) to “translate policies into practice” (p. 602) by preparing teachers to work with culturally and linguistically diverse students. Inclusive educators have also built upon these assets-based pedagogies by affirming diversity of ability and creating curricula that aim to remove barriers in schools rather than attempting to change and assimilate students (Baglieri et al., 2011).

Yet the literature suggests that STEM (science, technology, engineering, and mathematics) teachers are often the most reluctant to adopt culturally relevant teaching (Barton, 2003; Colina Neri, Lozano, & Gomez, 2018; Gutierrez, 2013) and that inclusive pedagogies are not well integrated into science education (Stinken-Rösner, et al., 2020). Though STEM teachers agree with an inclusion of cultural and racial topics in academics, “they often question their relevance to the hard sciences” (Colina Neri et al., 2018). Instead, many believe cultural relevance is more appropriate for the humanities classroom and pride themselves on the objectivity believed to be inherent to science and mathematics (Schultz et al., 2023). As a result, “there is little research to date focusing explicitly on how to organize culturally relevant pedagogy in [STEM] classrooms” (Suad Nasir et al., 2008, p. 224). Similarly, Stinken-Rösner and colleagues (2020) have argued that “a dialogue between domains of inclusive pedagogy and specific subjects rarely occurs” (p. 30). They propose inclusive science education as a “new theoretical approach” (p. 40). There is clearly work to be done in developing STEM curricula accessible to and by diverse student populations.

In line with the theme of creating more inclusive educational communities, the purpose of this paper is to develop a deeper understanding of the ways in which pre-service STEM teachers in a clinically rich, social justice-oriented teacher residency program create curricula that affirm and leverage diversity to support all students’ STEM learning. We do this by asking, (1) How are STEM teaching residents conceptualizing culturally relevant and inclusive curriculum design? and (2) How are they enacting these conceptualizations through curricular choices? This inquiry will suggest opportunities for STEM teachers to incorporate culturally relevant and inclusive pedagogies, as well as address challenges that arise that can be addressed by teacher educators and policy makers.


Methodology, Methods, Research Instruments or Sources Used
This study draws upon DisCrit (Annamma et al., 2013) as a theoretical framework. DisCrit addresses the  “interdependent constructions of race and dis/ability in education and society“ (p. 1). Although this framework was developed within the specific racial context of the United States, it also has applications in the European context, where students are also often, “simultaneously raced and dis/abled” (p. 5) although not always in the same ways. Research conducted using DisCrit seeks to provide assets-based counternarratives in which knowledge is generated by disabled people of color, not just about disabled people of color (Annamma et al., 2013).

This study takes place within the context of a clinically rich urban teacher residency program that draws upon culturally relevant  and inclusive education as guiding frameworks. DisCrit, then, is a useful lens for understanding how residents conceptualize and enact culturally relevant and inclusive curricular design, and encourages researchers to view culturally relevant and inclusive education as fundamentally intertwined rather than separate.

Participants included 20 total residents working toward certification in secondary science or math. Fourteen of those residents pursued dual certification in a STEM field and special education. Eleven identified as white; 3 as Hispanic or Latinx; 1 as Black; 1 as Asian; 2 as “two or more” racial identities; and 2 did not disclose. Information about disability was not systematically collected by the program, although some residents did disclose having a disability.

Data included participants’ final portfolios, in which they compiled artifacts that demonstrated their commitments to inclusive and culturally relevant pedagogy through, for example, unit plans, philosophies of education, examples of feedback on student work, etc.

We engaged in document analysis (Bowen, 2009) of the 20 portfolios using DisCrit to guide our analyses. We coded the data both deductively, using the principles of DisCrit, and inductively, looking for themes in the data and for tensions within themes, ways in which different residents might conceptualize or enact the same ideas differently (Bogdan & Biklen, 2007).

Conclusions, Expected Outcomes or Findings
Preliminary data analysis indicated residents’ conceptualizations of culturally relevant and inclusive teaching largely made reference to the importance of interdependence in the classroom community. This took the form of centering student voice, prioritizing relationships, and learning with and from one another. As residents reflected on the teaching they had observed prior to enacting their own, one articulated noticing that “a teacher-centered curriculum discouraged students’ active participation and did not promote mathematical discourse.” He “also realized that those students with learning disabilities and those whose English was not their native language were isolated from the rest of the class.”
This critical awareness of historically marginalized communities and students led him and other residents to commit to co-creating with students a space where all learners felt supported. They did so through the development of community norms (e.g., “embracing collaboration,” “asking for help,” and “being respectful”) and relationship building. Residents regularly employed heterogeneous group activities (e.g., discussion boards, group readings). While these allowed teachers to make curriculum accessible for all students, they also required students to communicate with one another through comments and questions directed at peers rather than the teacher. Other community members were also pulled into class topics, such as when one resident designed an assignment requiring students to interview others (classmates, visitors to class, family members) about scientific topics and then react to what was shared. This worked to build scientific discourse in a way that involved a variety of actors and emphasized interdependence.
This example is but one of the ways “educationalists … have always been at the forefront of efforts to respond to societal changes” (ECER, 2024). Through this study, we hope to more deeply understand how STEM educators are responding to current sociopolitical, economic, and cultural contexts in a way that promotes equity and justice.

References
Annamma, S.A., Connor, D.J., & Ferri, B. (2013). Dis/ability critical race studies (DisCrit):
Theorizing at the intersections of race and dis/ability. Race Ethnicity and Education, 16(1), 1-31.
Author. (2023).
Barton, A. C. (2003). Teaching science for social justice. Teachers College Press.
Brown, M., Altrichter, H., Shiyan, I., Rodriguez Conde, M. J., McNamara, G., Herzog-Punzenberger, B., Vorobyeva, I., Vangrando, V., Gardezi, S., O’Hara, J., Postlbauer, A., Milyaeva, D., Sergeevna, N., Fulterer, S., Gamazo Garcia, A., & Sanchez, L. (2022). Challenges and opportunities for culturally responsive leadership in schools: Evidence from four European countries. Policy Futures in Education, 20(5), 580-607.
Colina Neri, R., Lozano, M., & Gomez, L. M. (2018). (Re)framing resistance to culturally relevant education as a multilevel learning problem. Review of Research in Education, 43(1), 197-226.
European Commission. (2023). “Forced displacement: Refugees, asylum seekers, and internally displaced persons (IDPs).” https://civil-protection-humanitarian-aid.ec.europa.eu/what/humanitarian-aid/forced-displacement_en
Gay, G. (2000). Culturally responsive teaching: Theory, research, and practice. New York: Teachers College Press.
Gutierrez, R. (2013). Why (urban) mathematics teachers need political knowledge. Journal of Urban Mathematics Education, 6(2), 7-19.
Krulatz, A., Steen-Olsen, T., & Torgersen, E. (2018). Towards critical cultural and linguistic awareness in language classrooms in Norway: Fostering respect for diversity through identity texts. Language Teaching Research, 22(5), 552-569.
Ladson-Billings, G. (2014). Culturally relevant pedagogy 2.0: a.k.a. the remix. Harvard Educational Review, 84(1), 74-84.
Paris, D. (2012). Culturally sustaining pedagogy: A needed change in stance, terminology, and practice. Educational Researcher, 41(3), 93-97.
Schultz, M.; Close, E.; Nissen, J.; & Van Dusen, B. (2023). Enacting culturally relevant pedagogy when “mathematics has no color”: Epistemological contradictions. Int. J. Res. Undergrad. Math. Ed.
Suad Nasir, N., Hand, V., & Taylor, E. V. (2008). Culture and mathematics in school: Boundaries between “cultural” and “domain” knowledge in the mathematics classroom and beyond. Review of Research in Education, 32, p. 187-240.
Stinken-Rösner, L., Rott, L., Hundertmark, S., Baumann, Th., Menthe, J., Hoffmann, Th., Nehring, A. & Abels, S. (2020). Thinking inclusive science education from two perspectives: Inclusive pedagogy and science education. Research in Subject-matter Teaching and Learning, 3, 30–45.
Subasi Singh, S., & Akar, H. (2021). Culturally responsive teaching: Beliefs of pre-service teachers in the Viennese context. Intercultural Education, 32(1), 46-61.


10. Teacher Education Research
Paper

An Exploration of the Intersection of Mathematical Anxiety and Dyscalculia on Mathematical Self-concept in Preservice Teachers.

Lucy Westley, Claire Shelley

University of Northampton, United Kingdom

Presenting Author: Westley, Lucy; Shelley, Claire

Preservice teaching students have been presenting with a weaker understanding of mathematics and anxiety towards the subject (Brown et al., 2012; Jensen et al., 2022). Personal beliefs about the subject, noted in tutorials and in lectures and seminars demonstrate that many students have a lower mathematics self -concept. Mathematics self - concept refers to a person’s belief about their competence in mathematics (Rossi et al., 2022; Marsh, 1986). The understanding of the link between mathematics anxiety and dyscalculia is developing (Devine et al., 2018) but its prevalence in preservice teachers and its impact on mathematical self-concept requires further exploration.

From September 2013 anyone wishing to train as a teacher in England had to pass ‘skills tests’ in English and mathematics (DFE, 2001). The introduction of these tests was aimed at improving the quality of candidates entering the profession. Despite objections from the profession and the teaching unions regarding the loss of many potential teachers and the undermining of the profession, it took a further 7 years for the tests to be scrapped. The replacement for the tests put the responsibility on both the Initial Teacher Training (ITT) provider and the candidate to assure that they have met the standard of the fundamental skills. Universities therefore need to assure that any candidates that are recommended for qualified teacher status demonstrate competency but also that support is provided to enable the candidates to become competent.

All ITT students must have attained the equivalence to a ‘C’ grade at GCSE (DfE, 2023, C1.1), England’s end of compulsory school exam, as minimum and so must have studied the subject for a minimum of 12 years. Therefore, the time to develop subject knowledge, confidence and appreciation of mathematics has been offered but so too is the chance for shallow and disconnected learning, crises of confidence and a lack of appreciation of the subject. A grade C or higher may open the door to further study but it may have been achieved through rote learning and recall rather than understanding (Chinn, 2020) and this can lead to many students who have disengaged with the subject.

The pressure to keep up with their peers may be a contributing factor to the development of anxiety around the subject. Mathematical anxiety is complex and multifaceted. It may occur for many reasons. Broadly speaking it is a negative emotional reaction to mathematics (Carey et al., 2019) which can be characterized by low mathematical confidence and expectations of success, apprehension, fear, mental blocks, reduced working memory, inaccurate perceptions of what it is to be a mathematician, avoidance, and helplessness (Chinn, 2020). The manifestation of mathematical anxiety can be seen in emotional, behavioural and physiological responses.

The development of mathematical anxiety can be attributed to a range of different factors. Many students enter ITT believing that they have a specific learning difficulty around numbers and the understanding of mathematics however there can also be many contributing reasons for this too. Students may have dyscalculia; however, this condition may not have been formally diagnosed. Dyscalculia is defined as a specific and persistent difficulty in understanding numbers which can lead to a diverse range of difficulties with mathematics. Unexpected in relation to age and level of education, mathematics difficulties are best thought of as a continuum where dyscalculia falls at one end of the spectrum and will be distinguishable from other mathematics issues due to the severity of difficulties with number sense, including subitising, symbolic and non-symbolic magnitude comparison, and ordering. It can occur singly but often co-occurs with other specific learning difficulties, mathematics anxiety and medical conditions (SASC,2019).


Methodology, Methods, Research Instruments or Sources Used
The research will be conducted through an instrumental case study design seeking to explore the experiences of students who perceive themselves to have dyscalculia.  The instrumental case study approach allows the researchers to explore the issues surrounding the intersectionality of dyscalculia and mathematical anxiety amongst preservice teachers particularly focussing on those students that may have experienced a disrupted formal education due to the Covid 19 pandemic. This approach was also selected as it allows for the in-depth study which then leads to ‘fuzzy generalisations’ (Bell and Waters, 2018, p.30) which may be transferable to other universities where teacher education is offered. The case is formed through the 2023- 2026 cohort of students on the BA primary Education with QTS course at a university in England.

The data set will be collected through offering all students enrolled on the BA Primary Education 5-11 with Qualified Teacher Status degree, the Dynamo Post 14 assessment, a published resource which has been developed in partnership with the University of Oxford, this will be used to screen students for dyscalculia from January 2024. The decision to screen at this at this point in their training is twofold; the students will have engaged in a short experiential teaching placement of three weeks but will not have started their first module on the teaching of mathematics. They have therefore developed some understanding of primary school aged mathematics teaching through observation but have not yet commenced on the module. Purposive sampling will be used to approach students whose screening shows indicators of dyscalculia. Students who have asked to be screened but do not show indicators will also be contacted. These students will be selected to include a range of genders, ages, and backgrounds. All students selected will be asked to take part in the semi structured interviews seeking to understand more about their experiences and attitudes towards mathematics and their perceptions of mathematical self-concept.
Using a qualitative approach, the semi structured interviews will be transcribed, coded, and analysed to identify factors that are present. These will be compared to the results of the Dynamo Post 14 assessment to identify associating factors of both mathematical anxiety and dyscalculia.  



The research questions for this study are:

What are the associating factors of both dyscalculia and mathematical anxiety?  
Which factors impact mathematical self-concept?

Conclusions, Expected Outcomes or Findings
The aim of this research is to gain a deeper insight into the varying experiences which develop mathematical self-concept in preservice teachers. It will consider the challenges that preservice teachers within the case study cohort have experienced and how these have impacted upon their attitudes towards mathematics. It also aims to identify any factors in the relationship between dyscalculia and mathematical anxiety and the factors which may impact mathematical self-concept. Understanding these factors will indicate how our current mathematics teacher education programme may need to change to support students more effectively.
About 6% of the population are thought to have dyscalculia (BDA, 2023) however a survey by Drew and Trott (2015) found the number of students formally identified with dyscalculia in Higher Education (HE) was only 0.04%. Therefore, we argue that the identification could help alleviate levels of anxiety, establish entitlement to specialist support needed by students but also develop awareness in staff and school-based mentors regarding teaching approaches that may cause unnecessary anxiety and failure (ADSHE, 2021).
As an additional benefit of increasing knowledge about dyscalculia and mathematical anxiety this can be included within the ITT taught programme thereby developing wider teacher understanding and pupil support (Hornigold, 2015, p.324).

References
Association of Dyslexia Specialists in Higher Education (ADSHE) 2021. Guidelines for Quality Assurance in Specialist Support for Learners with Specific Learning Differences (dyslexia, dyspraxia, ADHD, dyscalculia) in Higher Education.[online] Available at https://adshe.org.uk/good-practice-guidelines/ [Accessed on 14.01.23]
 
British Dyslexia Association. n.d. Dyscalculia. [online] Available at: https://www.bdadyslexia.org.uk/dyscalculia [Accessed on 24.01.23]
Brown, A, Westenskow,A & Moyer- Packenham, P (2012) Teaching anxieties revealed: pre-service elementary teachers’ reflections on the mathematics teaching experiences’, Teaching Education, 23 ( 4) pp.365 - 385
Carey E, Devine, A, Hill F, ( 2019); Investigating the experiences of UK primary and secondary school students. Understanding Mathematics Anxiety, March, p.63
Chinn, S.J. (2020). More Trouble with Maths: A Complete Manual to Identifying and Diagnosing Mathematical Difficulties [ebook].  Milton: Taylor & Francis Group. Available from: ProQuestCentral. [26 January 2023].
Department for Education (2001)
Department for Education (2023). Initial teacher training (ITT): criteria and supporting advice. GOV.UK [online] Available at https://www.gov.uk/government/publications/initial-teacher-training-criteria [Accessed on 12.12.23].

Devine, A, Hill, F, Carey, E & Szucs, D ( 2018) Cognitive and Emotional Math Problems Largely Dissociate: Prevalence of Developmental Dyscalculia and mathematics Anxiety’, Journal of Educational Psychology, vol 110 (3) pp. 432- 444
Hornigold, J. (2015). Teacher training: solving the problem. In: S. CHINN. ed. The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties. London: Taylor & Francis Group.  
Jenssen,L, Moller,R., K & Roesken-Winter,B (2022); Pre Service primary teachers’ shame experiences during their schooling time: characteristics and effects on their subject -choices at university’, Education Studies in Mathematics, 110,(3) , pp.435-455.
Marsh, H.W. (1986), “Verbal and math self-concepts: An internal/external frame of reference model”, American Educational Research Journal, 23, pp. 129–149.
Rossi, S., Xenidou-Dervou.I., Simsek, E., Artemenko,C., Daroczy,G., NuerkHC., Cipora,K., (2022) Mathematics–gender stereotype endorsement influences mathematics anxiety, self‐concept, and performance differently in men and women. Annals of the New York Academy of Sciences. 1513 (1), pp.121–139.
SpLD Assessment Standards Committee (SASC), (2019). SASC Guidance on assessment of Dyscalculia and Maths Difficulties within other Specific Learning Difficulties.  [ online] Available at: https://www.sasc.org.uk/media/3gtdmm0s/assessment-of-dyscalculia-maths-sasc-nov-2019.pdf [Accessed on 12.12.23]

Trott, C. (2015). Dyscalculia in higher education Systems, support and student strategies. In: S, CHINN. ed. The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties. Abingdon: Routledge. pp.406-419


 
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