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Posts by Paddy MacMahon

Pickwick Cotton Canvas Pickwick Cotton Canvas

I picked up one of these on Vinted (for *much* less than the price here) and love it. Laptop, tablet and many other bits and pieces fit.

www.brooksengland.com/en_uk/pickwi...

2 days ago 1 0 1 0

Or you could use eigenvectors and eigenvalues.

3 days ago 2 0 0 0

Google maps suggests a sugar farm...

maps.app.goo.gl/asTQDPCZ7QVf...

5 days ago 1 0 0 0
A picture from an aircraft window of dark circles and sectors in the sand, west of the Nile in Egypt.

A picture from an aircraft window of dark circles and sectors in the sand, west of the Nile in Egypt.

Circles and sectors in the sand, seen from an aircraft window.

Circles and sectors in the sand, seen from an aircraft window.

#MathsOnHoliday #MathsToday

Circles and sectors in the desert in Egypt, seen from the plane. Presumably a crop of some sort, but I'm intrigued...!

5 days ago 8 0 1 0

The comments are hilarious... blame everything on socialism and foreigners!

5 days ago 0 0 0 0

There's still something so special about the cinema.

6 days ago 1 0 1 0

Oh Happy Day!

And after J.D. Vance tried so hard to lobby on his behalf...๐Ÿ˜‚

6 days ago 2 0 1 0
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Pages from Geometria (1543) by German artist, mathematician, and cartographer Augustin Hirschvogel. In this version from the Deutsche Fotothek, amid the rigid lines of the geometrical sketches appear the chaotic forms of stains: publicdomainreview.org/collection/hirschvogel-s...

1 week ago 89 17 0 4
A pair of somali crows on a blue frame silhouetted against a cloudy sky.

A pair of somali crows on a blue frame silhouetted against a cloudy sky.

#AttemptedMurder.

6 days ago 5 1 0 0
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That's disappointing; both my children's achieved growth; and my son's, which has just matured, averaged about 6.7% growth p.a. over the 18 years (mostly due to stock market performance in the last couple of years).

6 days ago 0 0 0 0

Every Year 13 tutor should tell their students about Child Trust Funds
Ask me if you need a powerpoint to show them

1 week ago 0 1 1 0
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Child trust funds: a windfall at 18 โ€“ but what should you do next? All children born in the UK between September 2002 and January 2011 have a CTF โ€“ but ยฃ1bn has not been claimed

Child trust funds: a windfall at 18 โ€“ but what should you do next?

1 week ago 16 9 5 2
A picture of a lion, camel (killed by the lion) and other animals under an acacia tree. There's a hyena with a geometric series spurting from his head.

A picture of a lion, camel (killed by the lion) and other animals under an acacia tree. There's a hyena with a geometric series spurting from his head.

An open book with mathematical formula rising from its pages.

An open book with mathematical formula rising from its pages.

Art and maths in #MathsToday at the Hargeisa Cultural Centre, Somaliland.

6 days ago 9 1 0 0

Signed up!

1 week ago 3 0 0 1
Damping

www.desmos.com/calculator/s...

1 week ago 3 0 1 0
projectile_modeller

www.desmos.com/calculator/6...

1 week ago 1 0 0 0
A male shining sunbird calling from an acacia tree.

A male shining sunbird calling from an acacia tree.

A shining sunbird in #WildlifeToday #birds #naturalists, seen in Sheikh, Somaliland.

1 week ago 4 0 0 0
A photo of a piece of paper with a diagram being drawn.
A grey horizontal line is labelled "number line" and has points marked 0,1, a and b.
A red line goes across the top left of the page and is labelled "away". 
A blue line goes acrosds the top right of the page and is labelled "home".
A red line parallel to the away line goes up from 1, and meets a blue line parallel to the home line that goes down to a.
A green line goes from 0 through the point where red turned to blue and continues upwards. It's labelled "turn line".
One hand holds a ruler in place through the point marked b parallel to the "away" line, while the other hand holds a red marker and draws a line along the ruler to finish on the green line marked "turn line".

A photo of a piece of paper with a diagram being drawn. A grey horizontal line is labelled "number line" and has points marked 0,1, a and b. A red line goes across the top left of the page and is labelled "away". A blue line goes acrosds the top right of the page and is labelled "home". A red line parallel to the away line goes up from 1, and meets a blue line parallel to the home line that goes down to a. A green line goes from 0 through the point where red turned to blue and continues upwards. It's labelled "turn line". One hand holds a ruler in place through the point marked b parallel to the "away" line, while the other hand holds a red marker and draws a line along the ruler to finish on the green line marked "turn line".

New blog post about my method of doing addition and multiplication using the geometry of parallel lines. It's called "Home & Away: Gometric Arithmetic". davidkbutler.xyz/2026/04/10/h...

1 week ago 13 7 4 1
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a man is holding a pool ball with the number 8 on it . ALT: a man is holding a pool ball with the number 8 on it .
1 week ago 0 0 0 0
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We certainly do.

1 week ago 0 0 0 0

I'm not sure, actually. If I'm honest, we probably don't make as much use of it as we might. We use the Examiner Reports at times, which are really useful for highlighting common errors or where correct-ish answers haven't gained full marks.
OCR candidate exemplars are great at A Level.

1 week ago 0 0 1 0

I'm visiting a school in Somaliland where the do International AS levels with Pearson, and I was meeting with their maths department.

1 week ago 0 0 0 0

Edexcel people: so you know if Results Plus is available for International A Level qualifications? I'm assuming it is, given we can use it for IGCSE...

#MathsToday

@mathsnot.bsky.social @themathsbazaar.bsky.social

1 week ago 2 1 5 0
Let $S_n$ denote the sum of the first $n$ terms of a particular arithmetic sequence.

If $S_{50}=200$ and $S_{200}=50$, for what value of $n$ does $S_n$ attain its maximum value?

Let $S_n$ denote the sum of the first $n$ terms of a particular arithmetic sequence. If $S_{50}=200$ and $S_{200}=50$, for what value of $n$ does $S_n$ attain its maximum value?

Springtime in Algebra II Honors is fun-arithmetic-sequence-problems season...
#iTeachMath #iTeachMaths #math #maths

1 week ago 8 1 4 0

This reminds me of a lovely problem. For your sequence, calculate S_250. What do you notice? What do you wonder?

If the sum of the first m terms of an arithmetic series is n, and the sum of the first n terms is m, What's the sum of the first m+n terms?

#ALevelMaths

1 week ago 3 0 0 0
An Abyssinian white-eye grooming its mate on an acacia branch.

An Abyssinian white-eye grooming its mate on an acacia branch.

A pair of Abyssinian white-eyes in #birds #WildlifeToday.

Sheikh, Somaliland.

Meanwhile, in #MathsToday, I've been seeing pupils for practice ahead of their IGCSE exams next month. Lots and lots of tree diagrams!

1 week ago 7 0 0 0
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A question: if I bought a Kobo, say, would that give me access to my purchased Kindle books, or does Amazon lock them to kindles only? That would rule them out for me, but the idea of an Android based e-ink tablet (where presumably I could install the Kindle app) might be appealing in future.

1 week ago 0 0 2 0

We talk about and review questions that were commonly answered incorrectly.

We don't ever discuss average class scores.

1 week ago 1 0 0 0

In-built obsolescence is insidious, but it's a function of the market. I doubt Amazon is alone in this, but agree that their ebook ecosystem is exceptionally locked down and restrictive.

1 week ago 0 0 1 0

I'm not sure I am.

I'm assuming (but maybe I'm wrong) that the file format for ebooks has changed over time to incorporate new features available on newer kindles. If that happens, then presumably older kindles will need new firmware to read the modified file format?

1 week ago 0 0 1 0