Success Secrets for Mathematics Teachers via Ancient China & India
Challenges in Mathematics Education for the Next Decade
14th International Conference of the Mathematics Education for the Future Project. Balatonfüred, Hungary, 11 September 2017
Scroll down for the conference paper beneath the slideshow.
It seems mathematicians and math teachers struggle to explain how and why 1⁰ = 1 and 1¹ = 1, which might imply 0 = 1.
The reason is truly strange. Whilst 0 and 1 empower computers, (which run on strings of zeros and ones), zero and one have been missing from explanations of multiplication and exponentiation since the 16th Century!
Math teachers appear to be teaching the 'index laws' with no common sense foundations.