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@axiommaths.bsky.social #MathsReasoning #LearningTogether #MathsTalk #MathsLearning #ProblemSolving #ThinkingSkills

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Fantastic teamwork, curiosity and confident maths talk throughout!
@AxiomMaths #MathsReasoning #LearningTogether #MathsTalk #MathsLearning #ProblemSolving #ThinkingSkills

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@AxiomMaths #MathsReasoning #LearningTogether #MathsTalk #MathsLearning #ProblemSolving #ThinkingSkills

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⭐ Ysgol Sandycroft have created a truly inclusive environment where:Every child participates, Confidence grows and Teachers thrive. ✅ 🏴󠁧󠁢󠁷󠁬󠁳󠁿

Read:
9028153.fs1.hubspotusercontent-na1.net/hubfs/902815...

#InclusiveLearning #MathsTalk #GrowthMindset #SandycroftPrimary #PrimaryMaths

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Episode 51 - Baudhayana - Back to 1 square In this episode a journey back to 800 BCE to explore the life and work of Baudhayana, one of the earliest known mathematicians from the Indian tradition. This episode also offers context on the Vedic ...

I am delighted to share with you my first episode of the new year, and my first for the history of maths in #India.

Come and listen to some instructions with rope with #Baudhayana.

www.podbean.com/eas/pb-tueww...

#mathstalk
#mathsky

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Un-Natural Numbers: 7 - Fano planes, Heptagons and Mersenne Primes
Un-Natural Numbers: 7 - Fano planes, Heptagons and Mersenne Primes YouTube video by Un-Natural Numbers

Have you ever wondered what the smallest possible Dobble set is? Or why you can't construct a Heptagon. Or what a Mersenne Prime is?

Find out on this latest episode of #Un-NaturalNumbers, the #mathschatshow

#mathstalk
#mathsky

youtu.be/4rszftYsCUo

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Episode 50 - Alcuin of York - A wolf, a Goat and a Cabbage | The Mathematicians Podcast How do you get a wolf, a goat, and a cabbage across a river without turning the boat into a buffet? Welcome to the Season 1 Finale of The Mathematicians Podcast! Today, we go to the court of Charlemag...

So who first introduced the river crossing problem? Or the Jeep Problem?

Why our good friend Alcuin of York. Have a listen to the final episode of #TheMathematiciansPodcast to find out more.

#mathstalk
#york
#mathsky
#riddles

mathematicians.podbean.com/e/episode-50...

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A Reddit screenshot:

This sounds like a job for a fermi approximation.

I buy a week's food for 2 people when I shop.

I think I visit less than 1 in 1000 items. In that for every 1000 distinct products they sell, I think I have 1 of them.

I think whenever I buy an item there are about 10 on the shelf, and probably another 10 behind the scenes.

So 2x1000x10x2 = 40,000 weeks for 1 person.

The average human lasts 4000 weeks.

So 1 shop can support 10 people their whole lives.

Edit. Formatting

A Reddit screenshot: This sounds like a job for a fermi approximation. I buy a week's food for 2 people when I shop. I think I visit less than 1 in 1000 items. In that for every 1000 distinct products they sell, I think I have 1 of them. I think whenever I buy an item there are about 10 on the shelf, and probably another 10 behind the scenes. So 2x1000x10x2 = 40,000 weeks for 1 person. The average human lasts 4000 weeks. So 1 shop can support 10 people their whole lives. Edit. Formatting

A person on #Reddit asked if one person could survive an apocalypse with only the contents of a supermarket for the rest of their lives (ignoring expiry dates)

What was the last #FermiApproximation you did ?

#mathsky
#mathstalk

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Episode 47 - Isidorus of Miletus - Build it, and they will come This week, we bridge the gap between Alexandria and Constantinople with Isidorus of Miletus, a mathematician and architect who preferred teaching to writing. We look into how he and his partner, Anthe...

Very happy to share today's episode of #TheMathematiciansPodcast

Want to know what is so special about the #HagaSophia, then listen in as we discuss the mathematicians who designed it. Alongside this, a tale of a nearly lost work by #Archimedes

www.podbean.com/eas/pb-44w8b...

#mathstalk
#mathsky

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🧮 Bring Maths Talk to Tutor Time

Here are five free activities to spark confident maths talk during tutor time 👇

🔗 mr-mathematics.com/weekly-probl...

#MathsEducation #TutorTime #ProblemSolving #MathsTalk #TeachingIdeas

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Episode 44 - The Injectives with Hope Duncan - On Infinity This week on The Mathematician's Podcast, we take a break from the philosophical and theological debates of the past to chat with an intellectual heavyweight of our own age! In another special "Inject...

I had another delightful maths moment with @hopeiona.bsky.social, where we talked at length on the nature of #infinity. If you'd like to listen in then you can find our interview here.

From ancient history to ZFCs.

www.podbean.com/eas/pb-f4xei-199b19d

#TheMathematiciansPodcast
#MathsTalk
#Mathsky

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Primary 2 set out to build a tower taller than Mrs Stewart — and they smashed it! 🏗️ So much amazing maths: measuring, estimating, comparing heights, talking fractions (“It’s only half of Mrs Stewart — we need to double it!”) & exploring scale. #MathsTalk #STEM #LearningThroughPlay #MetaSkills

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Episode 39 - Diophantus of Alexandria - A whole lot of fun

How many integers, n, are there, such that n!+1 is a perfect square?

Find out on this week's #TheMathematiciansPodcast where we look at Diophantine equations and the man who started them.

Could this be the birth of modern algebra? Nearly.

#mathstalk
#mathsky

open.spotify.com/episode/3i3K...

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Episode 36 - Nicomachus of Gerasa - That which divides us In this episode of The Mathematicians Podcast, Benjamin Cornish explores the life and works of Nicomachus of Gerasa—a philosopher, mystic, and mathematician whose obsession with numbers shaped centuri...

Was he a Platonic Pythagorean, or a crank? You decide, as we explore Nicomachus in this week's #TheMathematiciansPodcast

He's the guy that thought numbers had such well defined personalities, that he wrote a mandetory textbook for the next 1000 years

www.podbean.com/eas/pb-w79nx...

#mathstalk

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Un-Natural Numbers: 4 - Klein Groups, Harshad Numbers & Mod 4
Un-Natural Numbers: 4 - Klein Groups, Harshad Numbers & Mod 4 YouTube video by Un-Natural Numbers

What's this? Oh it's episode 4 of #Un-NaturalNumbers

With the magnificent @steckl.es and @paddymaths.bsky.social.

Give it a watch if you're in the mood for Klein groups, Harshad numbers and Modulo 4 arithmetic.

#mathstalk
#mathschat
#talkingnumbers

youtu.be/RfNBjhHGJ54

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Just finished recording episode 5 of #Un-NaturalNumbers, with the wonderful @hopeiona.bsky.social and Jocelyn D'Arcy.

I dare you to calculate n^5 mod 10, for n<10

Go on.

A really great set, looking forward to publishing

#mathstalk
#mathschat

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Getting ready to interview Dr Daffern on the intersectionality of ancient maths and ancient religion for #TheMathematiciansPodcast. Very much looking forward to episode 33, check it out in 2 weeks.

#mathstalk

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Episode 31 - Hipparchus - Going Supernova | The Mathematicians Podcast In this episode of The Mathematicians Podcast, Benjamin Cornish dives into the life and legacy of Hipparchus, the Greek thinker who gave us trigonometry, mapped the stars, and even invented tools to m...

Hey who invented #Trigonometry anyway?

Good question, come find out on this week's episode of #TheMathematiciansPodcast.

Wouldn't it be cool if he was the same guy who first identified a supernova, well if you insist

#mathstalk
#mathschat
#mathshistory

mathematicians.podbean.com/e/episode-31...

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Open invite to Un-Natural Numbers Let us know if you want to be on a future episode. This form is mainly to get you linked in to the community. I will email you with a big old spreadsheet where you can see the recording dates and book...

Would anyone like to join me on the 6th of August to do episode 5 of #Un-NaturalNumbers the #MathsChat show all about the number 5. Would you enjoy sharing your favourite facts about 5 + An evening of delightful conversation with fellow maths enthusiasts

#mathstalk

forms.gle/nbVi7dezTNUp...

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Un-Natural Numbers: Episode 3
Un-Natural Numbers: Episode 3 YouTube video by Un-Natural Numbers

Episode 3 has just dropped of #Un-NatrualNumbers, with excellent contributions from @hopeiona.bsky.social and @christianp.mathstodon.xyz.ap.brid.gy

If you are looking for a #MathsChatShow then check this out:

youtu.be/hZ9l5fF2x4w

#mathstalk
#mathsky
#KnotTheory
#SetTheory
#PalendromicNumbers

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Episode 30 - Dionysodorus of Amisus & Hypsicles of Alexandria | The Mathematicians Podcast This week on The Mathematicians Podcast, Benjamin Cornish presents a double bill of underappreciated thinkers from the back shelves of Greek geometry: Dionysodorus of Amisus and Hypsicles of Alexandri...

My first double bill of Mathematicians. Genius but not so prolific, and not to be ignored

Would you like to know who wrote book 14 of #Euclid's Elements? Did you want to see #integralcalculus before Newton? Then tune in

#mathstalk
#mathsky
#podcast

mathematicians.podbean.com/e/episode-30...

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Very excited to record episode 4 of #Un-NaturalNumbers tonight with the fabulous @steckl.es and @paddymaths.bsky.social.

Tune in soon to YouTube for some fun facts about the number 4.

Or get in touch if you want to be a guest on a future show, open invite to all.

#mathstalk
#mathsky

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The biggest lies your physics teacher told you about pendula
The biggest lies your physics teacher told you about pendula YouTube video by Un-Applied Maths

My latest #MathsYouTube video is up. In this one I look at the 'Lies' of modelling in relation to pendula, and explore things like the small angle approximation, or the 'flat earth' of gravity.

Which model is better: pure or useful, you decide!

#alevelphysics
#mathstalk

youtu.be/8URfRjeuHA0

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Harshad Number
A positive integer which is divisible by the sum of its digits, also called a Niven number (Kennedy et al. 1980) or a multidigital number (Kaprekar 1955). The first few are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, ... (OEIS A005349). Grundman (1994) proved that there is no sequence of more than 20 consecutive Harshad numbers, and found the smallest sequence of 20 consecutive Harshad numbers, each member of which has 44363342786 digits.

Grundman (1994) defined an n-Harshad (or n-Niven) number to be a positive integer which is divisible by the sum of its digits in base n>=2. Cai (1996) showed that for n=2 or 3, there exists an infinite family of sequences of consecutive n-Harshad numbers of length 2n.

Define an all-Harshad (or all-Niven) number as a positive integer which is divisible by the sum of its digits in all bases n>=2. Then only 1, 2, 4, and 6 are all-Harshad numbers.

Harshad Number A positive integer which is divisible by the sum of its digits, also called a Niven number (Kennedy et al. 1980) or a multidigital number (Kaprekar 1955). The first few are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, ... (OEIS A005349). Grundman (1994) proved that there is no sequence of more than 20 consecutive Harshad numbers, and found the smallest sequence of 20 consecutive Harshad numbers, each member of which has 44363342786 digits. Grundman (1994) defined an n-Harshad (or n-Niven) number to be a positive integer which is divisible by the sum of its digits in base n>=2. Cai (1996) showed that for n=2 or 3, there exists an infinite family of sequences of consecutive n-Harshad numbers of length 2n. Define an all-Harshad (or all-Niven) number as a positive integer which is divisible by the sum of its digits in all bases n>=2. Then only 1, 2, 4, and 6 are all-Harshad numbers.

Potential fact for episode 4 of #Un-NaturalNumbers .

I spent most of my final minutes before falling asleep last night trying to think of a 3 digit Harshad number.

This gives a deeper insight into the rule of divisibility by 3.

#mathstalk
#mathsky

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Episode 28 - Apollonius of Perga - What Goes around comes around In this episode of The Mathematicians Podcast, Benjamin Cornish turns his attention to Apollonius of Perga—the ancient Greek mathematician whose work on conic sections shaped the way we understand cur...

Hey, I just dropped my 27th episode on the history of Mathematicians in chronological order. Check out Apollonius, on conics. One of the whales of ancient greek maths.

#mathstalk
#mathsky
#themathematicianspodcast

www.podbean.com/ew/pb-j9r4c-...

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Just brushing up on my knot theory ahead of #Un-NaturalNumbers the maths chat show all about numbers.

Tomorrow we record episode 3, on the number 3. And I am planning to talk on knot theory.

See if you can find the significance, and whilst you wait have a go at this

#mathstalk
#mathsky

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A screenshot of Newton's Principia, Book 1 Section 5 Lemma 17, which discusses conics.

A screenshot of Newton's Principia, Book 1 Section 5 Lemma 17, which discusses conics.

I just downloaded my own pdf of The Principia, this has given me a curious feeling, like reading a religious text. Below is B 1, S 5, L 17: where I will be making the case that Newton is citing Apollonius for his work on Conics.

Free copy: web.math.princeton.edu/~eprywes/F22...

#mathsky
#mathstalk

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Pages from the 9th century Arabic translation of the Conics. Sourced from Wikipedia

Pages from the 9th century Arabic translation of the Conics. Sourced from Wikipedia

I'm researching Apollonius ahead of next week's #TheMathematiciansPodcast. I would love to say I'm using this as the source material, but we all know that's a lie.

It's still beautiful to see a 9thC book that looks like it could easily be a modern student's notes.

#alwaystrue
#mathsky
#mathstalk

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Calculus, but 2000 years before Calculus
Calculus, but 2000 years before Calculus YouTube video by Un-Applied Maths

Also today! I am very happy to have launched my own YT channel with a debut video on #Archimedes, as a companion piece for this week's #TheMathematiciansPodcast.

If you want to learn how to perform the Quadrature of the Parabola, then step this way.

#mathstalk
#mathsky

youtu.be/7Fg7A9aJrFI

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Hey folks. This Wednesday we are recording episode 2 of #Un-NaturalNumbers.

I'd love to hear any interesting #numberfacts you have about the number 2.

I will go first and say it's the maximum number of distinct chiralities in both 2 and 3 dimensions. (Maybe more?)

#mathstalk
#mathsky

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