A wide-range of research and evidence have been consulted to formulate the Maths on Toast 5 key principles.
Reference sources and useful further reading are included below.
Worth noting is the recent ATM response to the 2021 Ofsted Mathematics Research review. This response is an invaluable source of info. It contains many of the links below plus further research links:
https://news.stanford.edu/2015/12/17/math-mindset-boaler-121725/
https://www.youcubed.org/evidence/fluency-without-fear/
Boaler, J (2016) Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching. Jossey-Bass/Wiley: Chappaqua, NY.
https://www.cambridgemaths.org/Images/espresso_27_spatial_skills.pdf
Hawes, Z. & Ansari. D. (2020). What explains the relationship between spatial and mathematical skills? A review of evidence from brain and behavior. Psychonomic Bulletin and Review, 27, 465-482.
http://www.stevechinn.co.uk/articles/the-irrationality-of-quick-maths
Chinn, 2009
Nuffield report, 2019, Devine, Szucs et al: https://www.nuffieldfoundation.org/news/early-intervention-is-key-to-breaking-vicious-circle-of-maths-anxiety
Hunt et al, 2014, 2017
Morsanyi, 2019
PISA OECD report 2015 and 2018
Unicef report, supported by the Lego Foundation, 2018: Learning Through Play – strengthening learning through play in early childhood education programmes: www.unicef.org/sites/default/files/2018-12/UNICEF-Lego-Foundation-Learning-through-Play.pdf
Recently published (2022) by the Early Childhood Maths Group: ECMG Spatial Reasoning Toolkit: https://earlymaths.org/spatial-reasoning-toolkit/