Jonathan Payne

@drpmaths.bsky.social

Maths teacher* now working on United Learning’s @ulmathsexcellence.bsky.social programme. I made some question generators and other tools in the past (mostly superseded by others’ better things): https://www.questiongenerator.co.uk

Fascinated by pre-Newtonian theories of projectiles and how so obviously wrong they seem. I always wonder how these paths didn't seem incorrect to people at the time, but then whether I've just internalised the correct picture. Curious what typical 'pre-theoretic' drawings of the path would be

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A pawn starts on the top row of a (semi) infinite chess board. It can move either one square down or diagonally down (capturing a piece). Highlighting which squares can be reached an even number of ways gives this rather nice fractal

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The two grey areas can be shown to be equal using some algebra. It seems like there should be a nice geometric argument (e.g. with cutting and rearranging), but I can't find one. Am I missing something obvious?

Two geometric figures. The first is a rectangle ABCD. X is a point on AB and Y is a point on AD such that AX = AY = x cm, AB = y cm, YD = z cm. The triangle XCY is coloured grey. The vertices are not labelled in the diagram but used here for precision. The second figure is a right-angled trapezium. The parallel sides have length z cm and y cm. The perpendicular height is x cm. It is also grey.

I've written to Keir Starmer, Kemi Badenoch and Nigel Farage, urging them to join me in condemning Elon Musk's dangerous remarks inciting violence yesterday. As leaders, we must stand together and make clear Musk will face serious consequences for these actions.

Letter from Ed Davey to Keir Starmer condemning Elon Musk for inciting violence and urging unity to defend democracy.

Elon Musk openly called for violence on our streets yesterday. I hope politicians from all parties come together to condemn his deeply dangerous and irresponsible rhetoric. Britain must stand united against this clear attempt to undermine our democracy.

It’s official - “Nigel Farage is right, don’t vote for him” is a demonstrably awful strategy for Labour. Boosts salience of immigration, costs votes on the left, doesn’t persuade any voters on right (why would they accept a crap knock-off when they can have the original?)

Daniel Devine@danjdevine.bsky.social · 11mo ago

We have a paper on how Labour's strategy is disastrous. There's an exclusive coverage in @newstatesman.com www.newstatesman.com/politics/202...

Was playing with generalising a question from the new Edexcel EMC when I cam across this interesting fact. Nice to be able to come up with a question which combines algebraic proof and coordinate geometry. All just-about GCSE level

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A combinations/listing question disguised as a ratio question: Given four numbers a,b,c,d such that: - Two of the numbers are in the ratio 1:2 - Two are in the ratio 1:3 - Two are in the ratio 1:4 How many possibilities are there for the ratio a:b:c:d ?