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Misunderstandings and misconceptions
Fiona Allan Fiona’s teaching career has spanned every phase of education, from primary to sixth form. Her curiosity about how students learn mathematics led her to complete a master’s degree in Computer
Enhanced Mathematics Education after which she moved into consultancy and research.
She was one of the three leads on the national Maths Enhancement Programme, which upskilled more than 2,000 FE teachers and went on to support many initiatives for the NCETM and other organisations.
Fiona later supported the NCETM as Regional Coordinator and Assistant Director, and represented the FE sector on ACME. A long-standing NANAMIC member and former Vice-Chair, she has always championed collaboration and professional learning. More recently, Fiona edited two ATM books, This Worked for Me!
and This Worked for Me Too!, celebrating practical classroom ideas from teachers across FE and
secondary education.
Editor: The above is taken from the NANAMIC October 2025 newsletter. Fiona has recently been awarded Lifetime Membership by NANAMIC.
Improving learning in mathematics: challenges and strategies, 2005 https://colleenyoung.files.wordpress.com/2010/04/improving_learning_in_mathematicsi.pdf
Capraro, R. M., Capraro, M. M., Yetkiner, Z. E., Corlu, M. S., Ozel, S., Ye, S., & Kim, H. G. (2011). An international perspective between problem types in textbooks and students” understanding of relational equality. Mediterranean Journal for Research in Mathematics Education: An International Journal, 10, 187-213.
https://www.ncetm.org.uk/media/qjpctp24/mastery_assessment_y1.pdf
https://freedomtoteach.collins.co.uk/primary-maths-pizza-fractions/
https://www.ncetm.org.uk/media/1qyn40y1/ncetm_spine3_segment01_y3.pdf
https://www.ncetm.org.uk/media/lp0o2lgv/mastery_assessment_y5.pdf
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The use of the Socratic method to foster discussion
Despoina Boli has over 12 years of experience teaching mathematics and has spent the last 7 years working at a central London Further Education college, where her focus has been on resit learners. Until recently she was the curriculum manager for Functional Skills and GCSE Mathematics. Despoina is now the Maths CPD Manager for the charity Get Further which helps FE students achieve gateway English and Maths qualifications.
https://argoprep.com/blog/using-socratic-method-in-your-classroom/
Editor:
You may also find The Standard Unit's Improving learning in mathematics resources on questioning useful:
Videos about Questioning https://www.stem.org.uk/resources/collection/2935/thinking-about-questioning
Thinking about questioning https://www.stem.org.uk/resources/library/collection/2935/thinking-about-questioning