Segar Rogers
@segarrogers.bsky.social
Teacher. Maths. Secondary. Edinburgh.
Old enough to remember chalk.
Poetry on a Sunday.
Old enough to remember chalk.
Poetry on a Sunday.
Wondering about the parallels (if any) in other disciplines.
Poetry in English possesses two separate but intertwined beats. First of all, the stresses. And secondly, underneath those stresses, the syllables. The subtle latter are often drowned out by the strident former. But if you listen hard enough, the syllabics are there, underpinning everything.
November 4, 2025 at 12:43 PM
Wondering about the parallels (if any) in other disciplines.
Trying to write a question that requires the use of the Angle Bisector Theorem (Eu. El. VI – 3) … but failing … somehow a non VI – 3 solution always presents itself. Still, ended up with a nice enough question.
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
November 3, 2025 at 1:08 PM
Trying to write a question that requires the use of the Angle Bisector Theorem (Eu. El. VI – 3) … but failing … somehow a non VI – 3 solution always presents itself. Still, ended up with a nice enough question.
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
Does anyone teach this? Wondering if it's generally known or generally not known.
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
November 1, 2025 at 5:38 PM
Does anyone teach this? Wondering if it's generally known or generally not known.
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
An hour in the wind this afternoon collecting an oak forest :-)
October 25, 2025 at 5:42 PM
An hour in the wind this afternoon collecting an oak forest :-)
#MathsToday Looking through the jotter of a girl I’m tutoring … today’s page … the first two trig identities … below one the word ‘Tesco’ … below the other ‘Scone’. Just when you think you’ve seen everything. I’ll leave you to work out which is which ;-)
October 23, 2025 at 9:35 PM
#MathsToday Looking through the jotter of a girl I’m tutoring … today’s page … the first two trig identities … below one the word ‘Tesco’ … below the other ‘Scone’. Just when you think you’ve seen everything. I’ll leave you to work out which is which ;-)
When you're teaching integration by substitution, what do you tell pupils is going on (conceptually)? Interested in the phrases people use ... and I appreciate you may just take a procedural route. #UKMathsChat #iTeachMaths
October 22, 2025 at 12:20 PM
When you're teaching integration by substitution, what do you tell pupils is going on (conceptually)? Interested in the phrases people use ... and I appreciate you may just take a procedural route. #UKMathsChat #iTeachMaths
Been thinking more about the merits of the Exterior Angle Theorem and the fluency of pupils' geometric thinking. Here's a proof of one of @karencampe.bsky.social 's angle–arc theorems. Step 4 is beautifully immediate _if_ one uses Exterior-Angle-Theorem thinking.
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
October 20, 2025 at 5:24 PM
Been thinking more about the merits of the Exterior Angle Theorem and the fluency of pupils' geometric thinking. Here's a proof of one of @karencampe.bsky.social 's angle–arc theorems. Step 4 is beautifully immediate _if_ one uses Exterior-Angle-Theorem thinking.
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
Left: Requires triangle-interior-angle-sum and straight-angle-sum. 3 steps. Slower?
Right: Exterior Angle Theorem (Euclid 1–32). Requires corresponding and alternate angles. 1 step. Faster?
Right feels cleaner to me ... I wonder what pupils would think?
#UKMathsChat #iTeachMaths
Right: Exterior Angle Theorem (Euclid 1–32). Requires corresponding and alternate angles. 1 step. Faster?
Right feels cleaner to me ... I wonder what pupils would think?
#UKMathsChat #iTeachMaths
October 13, 2025 at 1:47 PM
Left: Requires triangle-interior-angle-sum and straight-angle-sum. 3 steps. Slower?
Right: Exterior Angle Theorem (Euclid 1–32). Requires corresponding and alternate angles. 1 step. Faster?
Right feels cleaner to me ... I wonder what pupils would think?
#UKMathsChat #iTeachMaths
Right: Exterior Angle Theorem (Euclid 1–32). Requires corresponding and alternate angles. 1 step. Faster?
Right feels cleaner to me ... I wonder what pupils would think?
#UKMathsChat #iTeachMaths
What things in maths do we teach before we have taught the maths that shows it is true? #UKMathsChat #iTeachMaths
October 11, 2025 at 9:57 AM
What things in maths do we teach before we have taught the maths that shows it is true? #UKMathsChat #iTeachMaths
A very short primer on mixing degrees of arc with degrees of angle for circle theorems.
#UKMathsChat #iTeachMath
Historically degrees measured arcs and arcs measured angles. This might feel uncomfortable but remember how we measure an angle today … with a protractor … measuring around an arc.
1/6
#UKMathsChat #iTeachMath
Historically degrees measured arcs and arcs measured angles. This might feel uncomfortable but remember how we measure an angle today … with a protractor … measuring around an arc.
1/6
October 9, 2025 at 11:37 AM
A very short primer on mixing degrees of arc with degrees of angle for circle theorems.
#UKMathsChat #iTeachMath
Historically degrees measured arcs and arcs measured angles. This might feel uncomfortable but remember how we measure an angle today … with a protractor … measuring around an arc.
1/6
#UKMathsChat #iTeachMath
Historically degrees measured arcs and arcs measured angles. This might feel uncomfortable but remember how we measure an angle today … with a protractor … measuring around an arc.
1/6
Idle thought: Explain in a sentence why for any numbers n and s such that n>s, s²/n is closer to s than n is . #UKMathsChat
September 21, 2025 at 5:10 PM
Idle thought: Explain in a sentence why for any numbers n and s such that n>s, s²/n is closer to s than n is . #UKMathsChat
Idle thought: Explain geometrically why the square-root operator is distributive over multiplication. #UKMathsChat
September 15, 2025 at 6:46 PM
Idle thought: Explain geometrically why the square-root operator is distributive over multiplication. #UKMathsChat
Something I didn't know.
#UKMathsChat
#UKMathsChat
August 29, 2025 at 8:05 AM
Something I didn't know.
#UKMathsChat
#UKMathsChat
June 29, 2025 at 8:55 AM
An aide-memoire for right-angled trig?! … maybe not … but it's interesting how orientation affects our ability to remember relationships. In this orientation I find the symmetry of the relationships much clearer. If only all trig questions had horizontal hypotenuses ;-)
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
June 14, 2025 at 10:03 AM
An aide-memoire for right-angled trig?! … maybe not … but it's interesting how orientation affects our ability to remember relationships. In this orientation I find the symmetry of the relationships much clearer. If only all trig questions had horizontal hypotenuses ;-)
#UKMathsChat #iTeachMaths
#UKMathsChat #iTeachMaths
June 8, 2025 at 7:41 AM
An Ailles Rectangle problem. Find the value of a°.
More an exercise in (trigonometry) language fluency than anything else. i.e. do you know how to interpret the terminology to be able to do it in your head.
@davidkbutler.bsky.social
#UKMathsChat #iTeachMaths
More an exercise in (trigonometry) language fluency than anything else. i.e. do you know how to interpret the terminology to be able to do it in your head.
@davidkbutler.bsky.social
#UKMathsChat #iTeachMaths
June 5, 2025 at 6:44 PM
An Ailles Rectangle problem. Find the value of a°.
More an exercise in (trigonometry) language fluency than anything else. i.e. do you know how to interpret the terminology to be able to do it in your head.
@davidkbutler.bsky.social
#UKMathsChat #iTeachMaths
More an exercise in (trigonometry) language fluency than anything else. i.e. do you know how to interpret the terminology to be able to do it in your head.
@davidkbutler.bsky.social
#UKMathsChat #iTeachMaths
If … you broke trigonometry into smaller pieces … spread it over 3 years … and taught the basics of just sine in early Secondary … then you could play around with problems like this … without everyone collapsing in a heap. Gradual trigonometry. #UKMathsChat #iTeachMaths
May 28, 2025 at 4:27 PM
If … you broke trigonometry into smaller pieces … spread it over 3 years … and taught the basics of just sine in early Secondary … then you could play around with problems like this … without everyone collapsing in a heap. Gradual trigonometry. #UKMathsChat #iTeachMaths
Is there a good working definition of 'understanding' (c.f. knowledge) that people regularly turn to? (Apologies, not a #CogSciSky person, unfamiliar with the various schools of thought. Looking for something succinct).
May 22, 2025 at 6:26 PM
Is there a good working definition of 'understanding' (c.f. knowledge) that people regularly turn to? (Apologies, not a #CogSciSky person, unfamiliar with the various schools of thought. Looking for something succinct).
If there was a cot button on calculators … I’d be one of the people that used it.
May 15, 2025 at 11:50 AM
If there was a cot button on calculators … I’d be one of the people that used it.
A sort of proto-trig task. No angle values required. Certainly no sin/cos/tan required. In one sense trigonometry was always two things: 1) building a table of values and 2) learning how to manipulate the results. This task concerns the latter. #UKMathsChat #iTeachMaths
May 13, 2025 at 11:22 AM
A sort of proto-trig task. No angle values required. Certainly no sin/cos/tan required. In one sense trigonometry was always two things: 1) building a table of values and 2) learning how to manipulate the results. This task concerns the latter. #UKMathsChat #iTeachMaths
Strand curriculum. t.ly/v-JCL. Two different topic tasks per lesson. 15min HW+LSQ, 15min Task 1, 15min Task 2, 5min spare. Keeping to time and the right resources essential. Pros: Pupil focus, spacing. Cons: Time making resources. Intense 50min but I loved it. #UKMathsChat #iTeachMaths
April 29, 2025 at 3:10 PM
Strand curriculum. t.ly/v-JCL. Two different topic tasks per lesson. 15min HW+LSQ, 15min Task 1, 15min Task 2, 5min spare. Keeping to time and the right resources essential. Pros: Pupil focus, spacing. Cons: Time making resources. Intense 50min but I loved it. #UKMathsChat #iTeachMaths
