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Jonathan Hall

@studymaths.bsky.social

Maths teacher. Creator of MathsBot.com.

1,236 Followers  |  229 Following  |  715 Posts  |  Joined: 19.08.2024  |  1.9312

Latest posts by studymaths.bsky.social on Bluesky

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@yrmathshub.bsky.social Summer Conference 2026!

Early Years and Primary booking form: forms.gle/58f3VSeYEvZw...
Secondary and Post 16 booking form: forms.gle/V48RieJdgpYj...

@ncetm.bsky.social
@learnsendhub.bsky.social
@janehawkins.bsky.social
@sarahdenisonmei.bsky.social

12.02.2026 14:05 β€” πŸ‘ 2    πŸ” 3    πŸ’¬ 0    πŸ“Œ 2
The prompt "Share 24 counters in the following ratios." and "Do any have the same answer?"
A table with 25 different ratios, the bottom row requires simplification of the ratios.

The prompt "Share 24 counters in the following ratios." and "Do any have the same answer?" A table with 25 different ratios, the bottom row requires simplification of the ratios.

In #MathsToday we did a task that creates the need for equivalent ratios.

We used counters, the bottom row is where the real fun starts.

11.02.2026 20:09 β€” πŸ‘ 7    πŸ” 2    πŸ’¬ 0    πŸ“Œ 0
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From the archive: What Every Secondary School Teacher Needs to know about Reading This originally appeared on my WordPress blog, but it still gets a fair bit of traction.

open.substack.com/pub/neilalmo...

Trying to resurrect the old blog in a new format to get writing and reading more. Here’s 5 things that I think all secondary teachers should know about reading.

11.02.2026 18:46 β€” πŸ‘ 1    πŸ” 1    πŸ’¬ 0    πŸ“Œ 0

Sounds like you could do with a third dimension.

Have you considered stacking tables on top of each other?

10.02.2026 16:34 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

I'm including SCG in a presentation next week on Inquiry routines / problem solving strategies.

Love this (John Mason)
SPECIALIZING means choosing examples
● randomly, to get a feel for the question;
● systematically, to prepare the ground for generalizing;
● artfully, to test a generalization.

08.02.2026 20:55 β€” πŸ‘ 0    πŸ” 1    πŸ’¬ 1    πŸ“Œ 0

Sounds amazing!

I think it’s fair to say that most of the stuff I make is influenced by him in some way.

I love his famous quote β€œA lesson without the opportunity to generalise mathematically, is not a mathematics lesson.”

Not sure it’s strictly true, but I like the principle behind it!

08.02.2026 21:07 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
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February Calendar Problems February is here and if you need a distraction from winter ❄️ weather, I have the February 2016 Calendar of Problems from 10 years ago for your wintertime problem solving enjoyment. I have a few mo…

It's a SUPER day for #ProblemSolving Sunday!
Check out the February Calendar of Problems... which ones did you like from this past week?
Share your thinking & working out here or on the post.
#MTBoS #iTeachMath #T3Learns #RecreationalMath #MathSky

karendcampe.wordpress.com/2026/02/01/f...

08.02.2026 17:27 β€” πŸ‘ 2    πŸ” 1    πŸ’¬ 3    πŸ“Œ 0

Who would wear shorts in the middle of winter?

08.02.2026 15:39 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

πŸŽ‰ Great news, well done!

08.02.2026 13:00 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
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GCSE maths anxiety is rising, and teachers are feeling the pressure too. Maths Revolution shares simple, steady approaches that help students build confidence and stick with it. A reassuring read for anyone teaching GCSE this term.
Available 26 Mar 2026 @BloomsburyEd

05.02.2026 15:01 β€” πŸ‘ 13    πŸ” 7    πŸ’¬ 2    πŸ“Œ 1
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Are "book looks" a waste of time? Book looks and work scrutinies are a staple in many schools. But can they actually tell us anything about teaching or learning?

New post: Are book looks a waste of time?

For some, they are a meaningless scourge. For others, they are a vital accountability lever that provides insight into the lived curriculum.

Read on for more, and please share if you can!

carouselteachlearnlead.substack.com/p/are-book-l...

07.02.2026 18:41 β€” πŸ‘ 21    πŸ” 12    πŸ’¬ 7    πŸ“Œ 2

Yes, but really I want pupils to talk about which expressions need single or double brackets.

08.02.2026 10:43 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

Ha! That’s amazing.

08.02.2026 10:17 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

You're going to have to explain yourself here Rob.

08.02.2026 09:49 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
Four expressions, with the prompt "Factorise the following:"
a) 6π‘₯ βˆ’ 16​
b) π‘₯Β² + 6π‘₯​
c) π‘₯Β² βˆ’ 16​
d) π‘₯Β² + 6π‘₯ βˆ’ 16​

Four expressions, with the prompt "Factorise the following:" a) 6π‘₯ βˆ’ 16​ b) π‘₯Β² + 6π‘₯​ c) π‘₯Β² βˆ’ 16​ d) π‘₯Β² + 6π‘₯ βˆ’ 16​

Could be a nice "which one doesn't belong" prompt?

#wodb

08.02.2026 08:47 β€” πŸ‘ 10    πŸ” 1    πŸ’¬ 2    πŸ“Œ 0
The puzzle drawn to scale on isometric paper.

The puzzle drawn to scale on isometric paper.

I think of isometric paper whenever regular hexagons/equilateral triangles are involved.

Is this cheating?

08.02.2026 06:37 β€” πŸ‘ 11    πŸ” 0    πŸ’¬ 2    πŸ“Œ 0

Yes, it depends on how far you take it. You could argue that percentages is just another application of direct proportion.

Basically I’ve decided everything is an application of direct proportion. 😜

07.02.2026 15:17 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

Raises the question about distinction between mathematical skills and topics (even those terms warrant better definition). The skill/procedure is proportion, but the topic is it's own. Much like percentages.

07.02.2026 12:53 β€” πŸ‘ 0    πŸ” 1    πŸ’¬ 1    πŸ“Œ 0

Pie charts - worthy of being called a topic on their own in a curriculum, or just an application of direct proportion?

07.02.2026 11:29 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
A rectangle with one diagonal drawn in. A regular hexagon sits on the left below the diagonal, with one side vertical against the side of the rectangle, one sloping side lying along the diagonal, and a vertex touching the base of the rectangle. A second regular hexagon sits above the diagonal on the right so that the design has rotational symmetry. Everything inside the rectangle but outside the hexagons is shaded blue.

A rectangle with one diagonal drawn in. A regular hexagon sits on the left below the diagonal, with one side vertical against the side of the rectangle, one sloping side lying along the diagonal, and a vertex touching the base of the rectangle. A second regular hexagon sits above the diagonal on the right so that the design has rotational symmetry. Everything inside the rectangle but outside the hexagons is shaded blue.

Two regular hexagons inside a rectangle. What fraction of the rectangle is shaded?

I found this #geometrypuzzle in my sketchbook - I drew it last June, but I’m pretty sure I never got round to posting it. Better late than never!

07.02.2026 10:29 β€” πŸ‘ 48    πŸ” 9    πŸ’¬ 13    πŸ“Œ 5
A similar slide to the previous post (Ann and Bob sharing sweets in a ratio), but the bar model has been replaced by a ratio table.

The ratios are now also blanked out for more flexibility in the questions asked.

A similar slide to the previous post (Ann and Bob sharing sweets in a ratio), but the bar model has been replaced by a ratio table. The ratios are now also blanked out for more flexibility in the questions asked.

Here is an even more generic version, and a nudge towards a more efficient ratio table approach.

The ratios are now blanked out which is a nice bonus of the table approach.

#BlankIsBest #MathsToday

07.02.2026 09:53 β€” πŸ‘ 3    πŸ” 1    πŸ’¬ 0    πŸ“Œ 0
Finding an nth term rule using Cuisenaire
YouTube video by Jonathan Hall Finding an nth term rule using Cuisenaire

Using Cuisenaire rods to model how we can find the nth term rule of a simple linear sequence.

youtu.be/s38PBKNdpBs
#MiniMathsBots

07.02.2026 10:00 β€” πŸ‘ 3    πŸ” 1    πŸ’¬ 0    πŸ“Œ 0
A similar slide to the previous post (Ann and Bob sharing sweets in a ratio), but the bar model has been replaced by a ratio table.

The ratios are now also blanked out for more flexibility in the questions asked.

A similar slide to the previous post (Ann and Bob sharing sweets in a ratio), but the bar model has been replaced by a ratio table. The ratios are now also blanked out for more flexibility in the questions asked.

Here is an even more generic version, and a nudge towards a more efficient ratio table approach.

The ratios are now blanked out which is a nice bonus of the table approach.

#BlankIsBest #MathsToday

07.02.2026 09:53 β€” πŸ‘ 3    πŸ” 1    πŸ’¬ 0    πŸ“Œ 0

I love this thread!

If you've ever wanted to get into Algebra Tiles, or learn how to use the MathsBot ones, this playlist of short (<2 min) videos might be a good start.

www.youtube.com/playlist?lis...

07.02.2026 09:45 β€” πŸ‘ 2    πŸ” 1    πŸ’¬ 0    πŸ“Œ 0
Two square drink coasters, each made from 100 mosaic tiles.

Two square drink coasters, each made from 100 mosaic tiles.

My 8yo has been making coasters with mosaic tiles and I think they’re pretty cool.

07.02.2026 08:43 β€” πŸ‘ 19    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
A math problem. Find the red area given a cirlce and square.

A math problem. Find the red area given a cirlce and square.

Started the first day of Calculus class with a problem from @stevemaths.bsky.social. Students used several different strategies to calculate the red area. #ITeachMath

06.02.2026 01:10 β€” πŸ‘ 6    πŸ” 1    πŸ’¬ 1    πŸ“Œ 0

I miss working with you! And our post-detention mathematical discussions.

06.02.2026 21:02 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0
A representation of completing the square for xΒ²+4x+14 using algebra tiles.

A representation of completing the square for xΒ²+4x+14 using algebra tiles.

Had a Year 11 intervention class today with only 6 students in because of a mock exam running.
Set 1 and the @goteachmaths.bsky.social Mark Maximiser showed us that completing the square was a huge gap…
So over to @studymaths.bsky.social MathsBot we go for some algebra tile goodness!
#MathsToday

06.02.2026 20:34 β€” πŸ‘ 8    πŸ” 1    πŸ’¬ 1    πŸ“Œ 1
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In #mathstoday year 9 finally know the difference between the radius and diameter, and year 12 looked at transformations of functions.

06.02.2026 17:56 β€” πŸ‘ 16    πŸ” 2    πŸ’¬ 3    πŸ“Œ 0
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πŸŽ‰ We are excited to announce MC40!

Join like-minded people in a celebration of all things maths at City of Derby Academy.

πŸ—“ Date: Saturday 18th April 2026
πŸ“ Location: City of Derby Academy

We look forward to seeing you there! πŸ™Œ

πŸ‘‰ BOOK HERE: completemaths.com/community/ma...

#MathsConf40

05.02.2026 18:04 β€” πŸ‘ 8    πŸ” 10    πŸ’¬ 0    πŸ“Œ 2

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