What is the mathematics that needs to change? (Agree that something needs to change … but is it maths, teaching maths, definition of being mathematical, what?) #merga45
Some complex ideas about restoring and restorying maths. A lot to do with racial/cultural issues, and “ways of knowing” and connections, but got me thinking about neurotypes and learning in environments that aren’t necessarily aligned with your culture/neurotype/etc. #merga45
In fact, the lecture theatre shortest-path problem is a bit more complicated than in the previous tweet. The aerial view here shows the paths that surround the building (bordered in purple) with orange showing the entrances to the theatres.
Amused — and appalled — by Paul Swan's real-world maths example of the hire car company that believed it was possible for one of their vehicles to have travelled 10000km in 41 hours (and charged for it). #MAVCON
So here's a little problem that occurred to me last night: Are there three digits a, b, c such that abc, acb, bac, bca, cab, and cba are all prime? (It's a problem that is likely to have occurred to someone else before now, I suspect.)
@katherinequane Pt 4. What is interesting is to figure out why it works: why is it the odd half-multipliers that you need, and not the even ones? As a hint, what is 27 in base 2/binary?
Further on my explorations with the Russian Peasant method of multiplication: it's always fun trying to figure out how something works in a specific case and then how to generalise it to show it always works. #mathsreasoning
@katherinequane Pt 3. The ones with odd half-multipliers are 27x31, 13x62, 3x248 and 1x496, so you add 31+62+248+496, which gives 837 (which is the answer to 27x31).
@katherinequane Pt 2. So, if starting with 27x31; the halve-double then gives 13x62 (people seem to record the multiplication sign, but of course 27x31 ≠ 13x62), then 6x124 then 3x248 then 1x496.
@katherinequane Pt 1. Yes. Repeatedly halve the multiplier (rounding down to keep whole numbers) and double the multiplicand. Then add together those doubles which have an associated odd-valued halved-multiplier.
Just spent an interesting time working out the connections between Egyptian multiplication (which I knew about) and Russian Peasant multiplication (which I knew less about). There are some very nice connections with binary and place value understanding.