iiinova — where your digital self keeps evolving

Reposted by Alex ~ VIC Maths Notes

Lee-Roy Day @lee-royday.com · 04/10/2026

For any Australian Y11 Maths Methods teachers, I've collated all my lessons for the year and shared them on TES. We used the Nelson WA Textbook, so they're aligned to those exercises. Hopefully it can save someone some time! www.tes.com/teaching-res...

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Reposted by Alex ~ VIC Maths Notes

Amie Albrecht @nomadpenguin.bsky.social · 03/10/2026

It’s this time of year again …

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 03/10/2026

Recording myself is definitely something I don't take advantage of and probably should!

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Reposted by Alex ~ VIC Maths Notes

Nathan Day @nathanday.bsky.social · 02/10/2026

In #MathsToday, Year 13 Further Maths had a lesson in the morning to revise for an afternoon Core Pure 1 assessment. I printed off a nice double-sided A3 revision mat. There's something about that format that I find feels more approachable than 50 questions in a list! interwovenmaths.com/mats/cp1

Page 1 of a Revision Mat of 50 Core Pure 1 questions in a grid.

Page 2 of a Revision Mat of 50 Core Pure 1 questions in a grid.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 02/10/2026

That was another big reason to start memorising pieces more, so that I could pick up a guitar when I'm not home and play them! Maybe it could be described as a foundational and mostly unconscious floor to your musical/mathematical current ability. It can be reinforced, expanded, and raised.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 02/10/2026

Something a little different today: applying the science of learning to other parts of my life vmnalex.substack.com/p/challenges...

vmnalex.substack.com

Challenges in achieving fluency and mastery

A musical interlude

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 30/09/2026

I like to do it with limits for the substitutions to avoid the issue of the fraction being undefined at that x-value. drive.google.com/file/d/1cqnA...

drive.google.com

Partial Fraction Decomposition using Limits.pdf

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Reposted by Alex ~ VIC Maths Notes

Alex ~ VIC Maths Notes @vmnalex.bsky.social · 29/09/2026

I’m doing an experiment for making sequencing F–10 mathematics curricula easier. Take a look. vmnalex.substack.com/p/a-curricul...

vmnalex.substack.com

A curriculum sequencing experiment

Showing the progression of ideas rather than the progression of year levels

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 29/09/2026

I’m doing an experiment for making sequencing F–10 mathematics curricula easier. Take a look. vmnalex.substack.com/p/a-curricul...

vmnalex.substack.com

A curriculum sequencing experiment

Showing the progression of ideas rather than the progression of year levels

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Reposted by Alex ~ VIC Maths Notes

Matt Mack @matthras.bsky.social · 19/09/2026

Grant Sanderson's (3blue1brown) guest post on Terry Tao's blog pretty much affirms and expands on my opinion of what's missing in maths academia: more maths communication overall, and especially towards different audiences.

terrytao.wordpress.com

If math is more than proof, we need to better celebrate the rest of it

[This is a guest post by Grant Sanderson. This blog post was initially written in a different file format and converted using AI. — T.] A sentiment echoing throughout the mathematics communit…

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 18/09/2026

Is it called what he /could/ have done, because he was so anti irrational numbers?

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 17/09/2026

Benefit is that it doesn't care if you have ax+b or a(x+b) or x/a+b or (x+b)/a. You deal with it by getting to your newly desired x-coordinates.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 17/09/2026

1) work back from the values bx+c (often I'll define it for convenience, such as θ) wants to be to the particular values of x that give them 2) map the outputs from those inputs to the desired transformed function You then see the transformations happen to the original points as you determine x&y

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 17/09/2026

Drawing it up with a table of values for helps a lot. Starting with a table for x and the base f(x), we transform to some "a f(bx + c) + d". So, we know what inputs to f give particular outputs using f, so we do two things:

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Reposted by Alex ~ VIC Maths Notes

Paddy MacMahon @paddymacmahon.com · 14/09/2026

Discussing my favourite two facts about random variables with my U6 #FurtherMaths #ALevelMaths in #MathsToday: They're not random, and they're not variables. Has got me thinking about flying lemurs...

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Reposted by Alex ~ VIC Maths Notes

Segar Rogers @segarrogers.bsky.social · 09/09/2026

An idea for a question: Without recourse to calculators, tables or graphing packages: a) Place sec x, cos x, tan x, cot x, csc x & sin x in order, from smallest to largest, when x = 1°. b) How is this different for x = 44° ? #UKMathsChat

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Reposted by Alex ~ VIC Maths Notes

Nathan Day @nathanday.bsky.social · 08/09/2026

In #MathsToday, Year 10 did some some Interwoven Related Calculations and then started on my all-new Algebra Fluency page - answering 1000+ questions between them! interwovenmaths.com/algebra It also gave me lots of data to know where to focus lessons in the Algebra topic we're about to start.

A maths worksheet titled “Task 1.3.3 Adjusted Multiplications”. It begins with “Given that 32 × 45 = 1440” and presents six questions using this fact: calculate 1/32 + 1/45; solve 32x = 1440; find the area of a 32 m by 45 m rectangle; find 32% of £45; share £1440 in the ratio 44:1; and expand 32(45x − 1).

A second section headed “Hence…” gives six related questions with adjusted values: calculate 1/16 + 1/45; solve 32x = 1472; find the area of a 32 m by 4.5 m rectangle; find 33% of £45; share £1395 in the ratio 44:1; and expand 31(45x − 1).

A screenshot of https://interwovenmaths.com/algebra question

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Reposted by Alex ~ VIC Maths Notes

Jonathan Hall @studymaths.bsky.social · 04/09/2026

I ran a few CPD sessions for my school on how Excel can make life easier as a teacher this week. We looked at practical solutions to real-life teacher problems. I've recorded them in case anyone finds them useful. (All the pupil data is made up.) www.youtube.com/playlist?lis... #ExcelToday

youtube.com

Excel for Teachers - YouTube

Time-saving tips for teachers using Excel.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 02/09/2026

See the last page. I feel I may have had things to add or change since the last time I shared it, but can't remember right now. drive.google.com/file/d/1KBi6...

drive.google.com

Second Derivatives.pdf

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 30/08/2026

For the WA folk and others who are interested in Y11/12 curriculum, SCSA is reviewing their Mathematical Methods and Mathematics Applications syllabuses. senior-secondary.scsa.wa.edu.au/syllabus-and...

senior-secondary.scsa.wa.edu.au

Years 11 and 12 | Syllabus Review

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 19/08/2026

interesting framework, though I don't think I've personally seen it used really in the 12 years since this was released. (seeing 183 citations of it)

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 12/08/2026

File this alongside teaching a new concept/skill by starting with a long-winded algebraic proof that doesn't act like how you use the concept/skill in practice.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 10/08/2026

Props to @rastokke.bsky.social, Matt Hood OBE, Jordana Hunter, @hugheshaili.bsky.social, Sam Haberman, Russell Fox PhD, and Karina Stocker for your informative sessions. Thanks to Derek Scott, Patrick Sanders, Carly McLatchie, and the rest of the Haileybury team for hosting.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 10/08/2026

It was great to be at #researchED Melbourne #rEDMelb26 on Saturday to present, to hear from experts, and have great discussions with colleagues. To not overload a single post, I've put my reflections on Substack. vmnalex.substack.com/p/reflecting...

vmnalex.substack.com

Reflecting on researchED Melbourne 2026

Finally, a researchED in Melbourne CBD

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 08/08/2026

Updates to the General Mathematics overview are up! This is quite a large update to v0.1.0 in terms of the amount of detail added (more on par with the Methods and Specialist overviews) and an added Responsible consumption and driving subtopic. vmnalex.substack.com/p/updates-to...

vmnalex.substack.com

Updates to VCE General Mathematics overviews (v0.2.0)

Changes ahoy!

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Reposted by Alex ~ VIC Maths Notes

Matt Mack @matthras.bsky.social · 06/08/2026

An illustration of Cameron Patrick's post: "If anyone needs a p-value, I have a jar full of them, sampled from a genuine null hypothesis, available in my office." Drawn is a glass jar with a wooden lid containing various p-values e.g. 0.01, 0.005, etc. all in different fonts. An advertising red star on the left reads "Guaranteed to be significant!" Another advertising yellow star on the right reads "Sampled from genuine null hypotheses!".

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Reposted by Alex ~ VIC Maths Notes

Jonathan Hall @studymaths.bsky.social · 28/07/2026

Simplify the following. #MathsOnHoliday

a) 2^3+2^3
b) 3^5+3^5+3^5
c) 4^10+4^10+4^10+4^10

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Reposted by Alex ~ VIC Maths Notes

David K Butler @davidkbutler.bsky.social · 26/07/2026

A quick little blog post with some thoughts about what sometimes happens when you tell people to do a task a specific way: davidkbutler.xyz/2026/07/26/i...

davidkbutler.xyz

I did it my way

It’s Second Semester Orientation at Adelaide University right now, and last week I helped out at a session called Starting Strong for new students. One part of that session got the students t…

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 16/07/2026

Stepping into controversial territory here, but if you know me, then you’ll know I am a fan of Engelmann/DI and so it shouldn’t be surprising that I think that scripts have a place in teaching. Let me try to convince you to write one by the end of this post. vmnalex.substack.com/p/let-me-con...

vmnalex.substack.com

Let me convince you to try writing a script

I'm trying to talk you down, the man who can't be moved; hoping that this post breaks even.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 14/07/2026

There is definitely still some clunkiness there with scalar products, such as somewhat needing to identify the backwards directions ahead of time to separate it out that feels very impractical.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 14/07/2026

In that instance, I'd be thinking that speed is the magnitude of the velocity so velocity could be written as |speed|*(unit vector of velocity) where speed is non-negative. Basically forcing the unit velocity vector to stay pointing to the unit circle to identify a direction of motion.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 14/07/2026

So, you could say you're scaling the negative of the vector to separate the directionality. The scalar product measures how much two vectors act in the same direction. So, when the scalar product is negative, it's saying that the vectors are acting in broadly opposite directions.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 14/07/2026

Two related thoughts: a scalar is what scales/stretches a vector. If we relate to transformations, then a negative scalar is applying a reflection as well as scaling the length up or down. I'm sure some will specify that they are separate, so scalar>0 similar to constant of proportionality>0.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 13/07/2026

Taking the first day of term to tie up the slew of updates I've made on my overviews for VCE Mathematical Methods and VCE Specialist Mathematics. See the Substack post for some of the changes or check the changelog in the pdfs (links in the post). open.substack.com/pub/vmnalex/...

open.substack.com

Updates to VCE Mathematical Methods and Specialist Mathematics overviews (v0.2.0)

Changes ahoy!

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 01/07/2026

But also the issue of my audience being at school during the hours I'd want to stream while working on things

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 29/06/2026

If you have opinions (like I do) on current VCE study designs (literally any and all of them, not just maths), the VCAA has a new survey out looking at all aspects of them. This is your best opportunity to broad feedback. www.vcaa.vic.edu.au/administrati...

vcaa.vic.edu.au

Notice to Schools 67 - 25 June 2026 - Victorian Curriculum and Assessment Authority

Notice to Schools 67 - 25 June 2026

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Reposted by Alex ~ VIC Maths Notes

Sam Blatherwick @blatherwicksam.bsky.social · 26/06/2026

proportion and ratio tables #maths

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 26/06/2026

Questions would be if that's worth considering before non-monic quadratic in general (a and c not 1) and whether it helps understand the non-monic factorisation any better than going straight there.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 26/06/2026

Fun thing I was playing around with recently x² + 5x + 6 = (1x + 2)(1x + 3) 6x² + 5x + 1 = (2x + 1)(3x + 1) That is x² + (p + q)x + pq = (1x + p)(1x + q) pqx² + (p + q)x + 1 = (px + 1)(qx + 1) So, no harder than monic factorising when the constant is 1. #mathstoday #mathschat

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Reposted by Alex ~ VIC Maths Notes

Anna Stokke (Host of Chalk & Talk Podcast) @rastokke.bsky.social · 25/06/2026

How much math content knowledge should teachers have? In my latest conversation with Jonathan Regino, we discuss why teacher math content knowledge matters—and why it's difficult to teach something you don't fully understand yourself. 🔗 Link below #MathEducation #ChalkandTalk

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 25/06/2026

The VCAA's updated the approved technology page with information for the changes of approved CAS calculators and technology for 2027. The list has shrunk. The only non-Casio/HP/TI emulator software approved is Mathematica: www.vcaa.vic.edu.au/assessment/v...

vcaa.vic.edu.au

Approved technology - Victorian Curriculum and Assessment Authority

Approved technology

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 25/06/2026

I'm also not a huge fan of inverse notation. However, x^-1 is the multiplicative inverse of x. So, it's not so far away from functional inverses as it could be. But when you can have a reciprocal/multiplicative inverse and an inverse that are different, yeah, it's problematic.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 12/06/2026

General Maths NHT Exam 2 finally released at some point this week. So, I can finally round out my blogs working through them. open.substack.com/pub/vmnalex/...

open.substack.com

NHT General Mathematics Exams 2026

Working through the exams and blogging while I'm at it.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 08/06/2026

Grade distributions for VCE went up at some point, so I've updated my graphs and tables with the 2025 data. I've also thrown a quick blogpost together to highlight a few points at a glance. open.substack.com/pub/vmnalex/...

open.substack.com

2025 VCE Mathematics grade distributions and statistics

These snuck out at some point.

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Alex ~ VIC Maths Notes @vmnalex.bsky.social · 03/06/2026

Of course both Methods exams go up before the 2nd General exam does. Here’s my thoughts on the Methods NHT exams for 2026. open.substack.com/pub/vmnalex/...

open.substack.com

NHT Mathematical Methods Exams 2026

Working through the exams and blogging while I'm at it.

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David K Butler @davidkbutler.bsky.social · 01/06/2026

Did an exam revision seminar for 2nd year uni Probability course and discovered just how many of the distributions in the course model situations where you watch for an event to happen. It was nine of the twelve named distributions in the course!

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