This page includes evidence of 3 key ideas:
1) Anyone can learn to high levels
2) Mistakes and struggle are good for brain growth and brain strengthening
3) Visual mathematics helps brain connections and is really important for students’ learning of mathematics – more evidence and ideas on this, including evidence of the importance of finger use, is provided on the visual mathematics page.
The first idea – that everyone can learn to high levels is described in the paper with this name, and the second idea – concerning the importance of mistakes and struggle is in the paper on mistakes. We include a few papers on the importance of visual connections, including the research paper co-authored with neuroscientist Lang Chen, and our teacher paper: Seeing as Understanding.