A Little More on the Lesson Lottery

UPDATE (01/05/25)

Greg has just posted a long response to my (non)post. Personally, I think it is cheating to employ one’s youthful energy to post sneak attacks at 6 am. But, once I’m awake, I’ll read Greg’s post and give it some careful thought.

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I have zero time to devote to this right now, but Greg Ashman has been busy of late and it feels that some kind of response is in order. This post is not properly that response, but it is a reminder of previous posts, and it is a promise (which I may or may not keep) to respond more fully in the near future. Continue reading “A Little More on the Lesson Lottery” →

Let Blacher Know What You Think About VCAA

A couple weeks ago, Yehudi Blacher came out with his report on VCAA and the exam leak mess. As we wrote, Blacher did not appear incisive like Bennett, and there is reason also to be concerned that Blacher will derail the good and continuing progress due to Bennett (in combination with VCAA’s positive response to Bennett). Blacher’s report was only the first part of a double-banger, however, and the second bang may be much louder, particularly if the public adds some fuel. The public has been invited to do so, by June 30.

Continue reading “Let Blacher Know What You Think About VCAA” →

ACARA vs. IPA

A few weeks ago, Colleen Harkin, “research fellow” and Education Thingo at the Institute of Public Affairs, did a quick LinkedIn post, comparing the “3500 pages” of the Australian Mathematics Curriculum to the “about 80 pages” of the Singaporean Mathematics Curriculum. Harkin included a “compare the pair” photo:

It is not clear that anybody paid much attention to Harkin’s post, but a week ago the Sky Clowns decided to amplify the thing. That seemed to be enough to spur The Age to check out the IPA’s slightly implausible claim. A couple days ago, The Age published a brief article, detailing Harkin’s claim and then slapping it down:

Astounding. Shocking. Also untrue, according to the body that writes the curriculum. The Australian Curriculum, Assessment and Reporting Authority says the foundation-to-year-10 [ugh] maths curriculum is only 273 pages long, including optional resources.

The core content – the achievement standards and content descriptions – comes in at a whopping 33 pages.

Who are you backing? Godzilla or Mothra?

Harkin’s claim is, of course, utter nonsense and The Age + ACARA were right to slap it down. But let’s take this step by step.

To begin, it is not clear that “only” is the most appropriate qualifier for a 273-page curriculum. It is also not clear where ACARA got that “273”. The Age article includes no links, perhaps because there were no links for ACARA to provide. ACARA’s downloads page links to a number of mathematics curriculum files but none of the files is seemingly the whole box and dice. None of the documents is huge, but presumably the IPA went scavenging through sample materials and the Curriculum’s twenty-five other dimensions and so on, which is how they got to thousands of pages. Whatever. Let’s get to the basic bones.

ACARA links to a document, Mathematics: Scope and sequence F–10 (W,I).  This document contains just the achievement standards and content descriptions, and so is presumably the “core content” to which The Age refers. The document is 39 pages rather than 33, but whatever. Precision arithmetic has never been ACARA’s strong suit. Whichever number, should we describe that 39/33 as “whopping”, or “only”? It depends how we measure.

It is natural to compare the Australian curriculum, as Harkin does, to the Singaporean curriculum, which everyone seems to agree is sane. The comparison is a little difficult, however, because Singaporean secondary schooling has various pathways. It is easier and it suffices to compare Australia’s F-6 curriculum to Singapore’s 1-6 curriculum.*

The “core content” of Australia’s F-6 curriculum runs to 24 (double column) pages. Adding in the elaborations (W,I), which then includes the Indigenous stuff et al, but not the various Tolstoy-length sermons, takes the F-6 curriculum to 76 pages. For the sake of comparison, the Singapore 1-6 curriculum is 49 pages. This includes two pathways for Primary 5 and Primary 6, the regular curriculum and the simpler, “Foundation” curriculum. Ignoring the Foundation path, the Singaporean primary curriculum is then 43 pages.

Now, how do we compare? First, the Singaporean curriculum contains a number of non-“syllabus” sections: an introduction (6 pages); a conceptual overview of mathematics and doing mathematics, on themes and “big ideas” (10 pages); pedagogy (5 pages); and assessment (6 pages). The actual Singapore syllabus, the itemisation of content, comprises 16 pages.

So, comparing bare bones to bare bones, Singapore 1-6 is two-thirds the pages of Australia F-6. This ratio, although significant, does not begin to convey the cleanness of Singapore’s curriculum and the bloatedness of Australia’s, even just for the content. We’ll get to that, but first, let’s compare flesh to flesh.

Singapore’s curriculum document is clean, with just a few clearly distinguished and well-presented sections. Australia’s curriculum, which is not even a document, is a nightmare. The website is an unnavigable labyrinth of God Knows What intermingled with Who Cares. It is a disaster, and everybody knows it is a disaster except for ACARA and, seemingly, a couple of Age reporters.

Harkin scored an idiotic own goal with her absurd claim about the thousands of pages of the Australian mathematics curriculum, and she scored another with claims that this length was primarily due to the Indigenous stuff and “social justice” and the like. It is all nonsense. But it is not nonsense that the Australian curriculum is a bloated, unworkable mess. Harkin comes out of this looking pretty silly, but not nearly as silly as the swallow-anything Age reporters.

Harkin was fundamentally right and The Age was fundamentally wrong, but they were both fundamentally off the main point. Yes, that the Australian curriculum as a delivered website is useless is a very big problem. Obviously. It is not nearly as big a problem, however, as the fact that substance of the Australian curriculum, the content, is appalling.

Let’s consider just one example: addition and subtraction at Year 2.** The Australian curriculum has no clearly labelled subsection, but the following are the directly relevant content descriptors (which appear on different pages):

add and subtract one- and two-digit numbers, representing problems using number sentences and solve using part-part-whole reasoning and a variety of calculation strategies (AC9M2N04)

recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts  (AC9M2A02)

If you glance at it sideways, you can almost see what is being asked for, but then you look at it straight on and you realise you have no idea. What does “representing problems” mean, or “a variety of calculation strategies”? How does “[be able to] recall” differ from “demonstrate proficiency with”? How does one “extend and apply” which “facts”? At this stage, the confused and desperate primary teacher delves into the elaborations, hoping to find some clarification, and they are never heard from again.

How does Singapore do it? They have a clearly labelled subsection, Addition and Subtraction, with two descriptors:

2.1 addition and subtraction algorithms (up to 3 digits)

2.2 mental calculation involving addition and subtraction of a 3-digit number and ones/tens/hundreds

That’s it. That’s all the Singapore guys write and that’s all they need to write. In brief, the Year 2 kid should be able to add 345 + 287 on paper and be able to add 345 + 80 in their head, with corresponding abilities for subtraction.

There are three things to note here. First, the Singaporean curriculum is worded much, much more clearly than the Australian curriculum. Secondly, what the Singaporean curriculum is requiring of the kids is much, much clearer than what the Australian curriculum requires. Thirdly, and by a mile most important, the standard of the Singapore curriculum, the level it is requiring of the kids, is much more advanced than the Australian standard.***

It is great that IPA is attacking ACARA’s appalling curriculum. It is just a shame that they are so ideologically blinkered and so amateurishly manipulative, and thus so bad at it. And it is a real shame that The Age has absolutely no clue that, in attacking Mothra, they are also defending Godzilla.

 

*) Singapore has no Foundation year, but does plenty of mathematics in their “pre-school”. Singapore Primary 1 students are roughly the same age as Australian Year 1 students.

**) For more such comparisons, see this and this and this.

***) For more on the addition-subtraction thing, see this, and for the general awfulness of the Australian curriculum, see this and this. 

VCAA Says the Silent Bit Out Loud

Following on from the Bennett review, there has been significantly more transparency from VCAA regarding the VCE exams:1 the 2024 exams were published very quickly after they were sat;2 the marking guides came not long after (eventually replaced by proper guides); and then came the exam reports, in a significantly more timely manner than in previous years. Most recently (when?), VCAA has published “videos”, with “Chief Assessors” narrating “Meet the Assessors” slide shows on the grading of the exams. This is all good.3 It thus feels ungrateful to then employ this new-found transparency to turn around and attack VCAA. Nonetheless, a central purpose of the transparency is to permit proper scrutiny. And, when VCAA provides evidence that their screw-ups affected students, the most important aspect is that VCAA screwed up. So, here we are.

Continue reading “VCAA Says the Silent Bit Out Loud” →

Meat and Potatoes au Grattan

As noted in a couple quick posts, last week the Grattan Institute released their report, The Maths Guarantee, on primary school mathematics teaching. I’ve now read the thing; here are my thoughts.1

I tend to write long and people tend to read short, so I’ll put the headlines in the headlines. In brief, the report is very good but with a very big bad. The good is that the report is pushing hard all the (one would think) no-brainer aspects of good mathematics teaching: decently long lessons decently often; the necessity of good resources; explicit instruction, particularly for new and fundamental concepts and techniques; the importance of mental skills and automatic recall, and the regular practice needed to attain it;2 engaging in proper mathematics practice rather than idiotic explorations;3 and an expectation of mastery, with frequent testing to monitor progress. I have some large concerns about this “good” – details below – but in sum this good is very good. The very big bad is that the report treats ACARA’s nonsense Curriculum and ACARA’s nonsense NAPLAN testing with way too much respect and way too much as a given. The sum of it is that, while the Grattan report is very good on how to teach primary mathematics, it is way, way too weak on what mathematics should be taught. Continue reading “Meat and Potatoes au Grattan” →

Meet the Assessors’ PowerPoint Slides

UPDATE (22/04/25)

I’ve written a post about the SM1 video, here.

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Commenter Sentinel has just pointed out that VCAA has posted a “video” for each 2024 VCE exam. Links are below. Each video is accompanied by the following description:

In the following video, the Chief assessor for the examination will describe the general marking principles and solution pathways to complete the paper with written solutions that would attract full marks. Where appropriate, descriptions of working for Multiple Choice questions and related CAS techniques will also be explored. It will be useful during viewing to have access to the external assessment report and assessment guide for the examination.  Continue reading “Meet the Assessors’ PowerPoint Slides” →

How is AI used at your school by students and teachers?

Frankly, I couldn’t care less. But Terry Mills cares and he asked me to ask.

I am suspicious of even pedestrian uses of AI, and I am deeply suspicious of deeper uses. Even if AI should be able to improve school education, I am far from convinced that it will. But the thing is obviously invading, and it will infect everything.

Whatever. Terry requested it and I’ve asked:

How is AI used at your school by students and teachers? Continue reading “How is AI used at your school by students and teachers?” →

PoSWW 48: ‘N’ is for ‘Ni ……. twits’

We were alerted to this one by Ed Barbeau. It concerns Jeff Leal, who is the mayor of Peterborough, a small city in Ontario. A few weeks ago, Leal gave a guest lecture in a business administration class at Peterborough’s Trent University. In his lecture, Leal apparently discussed various world leaders and historical figures, including US President Lyndon Johnson. Some students were not happy with Leal’s inclusion of an offensive word, and the shit properly hit the fan last week. That is when Arthur, Trent’s student newspaper, reported on the incident and included a link to an audio snippet of Leal’s remarks (with the offensive word bleeped out):

Continue reading “PoSWW 48: ‘N’ is for ‘Ni ……. twits’” →

Union Leavity

There’s been a ton of media coverage of the Grattan Institute’s report on primary school mathematics, which was released a couple days ago. We had a quick, tangential one yesterday, and we hope to write something more substantial in a day or two (no promises). Generally, the coverage has been stenographic and sympathetic, which is, in turn, not great and good. Undoubtedly there will be others (hello, AARE), but so far we have came across just one dissenting voice. Continue reading “Union Leavity” →