[Maths-Education] evidence on teaching and learning indices, surds, standard index form

[Ian Jones]

Hello.

I am looking for peer reviewed evidence regarding children's understanding and misconceptions about the following three notational topics in secondary mathematics.

- index notation, e.g. x^2
- standard index form, e.g. 6.1 × 10^4
- surds e.g. 2√3

If anyone can point me to articles or other outputs present research studies into these areas it would be most appreciated.

Thanks!

Ian Jones
Mathematics Education Centre
Loughborough University