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On My Knees

Posted in Biographical, Education, Maynooth with tags , , , , on May 22, 2026 by telescoper

It has taken a bit longer that I expected to get this far but I have now completed the grading of one of my modules. It wasn’t the written examination that took all the time, but the marking of the computational physics projects. This is always a slow job but for some reason it took even longer this year. Anyway, all components of the assessment for that module are now done and dusted and everything uploaded.

To add to the fun and games, last week I did the biannual trip to Naas for my anti-arthritis injections. I’ve been doing this regularly for some years now and it has become routine. When I first started I was told that there was a risk of one or both knees swelling up, but that has never happened. Until last week, that is. My right knee decided to swell up alarmingly. Although this was not really painful, I was forced to stay at home to rest and periodically apply a bag of ice. That worked well enough that I could go to last Friday’s concert (with the aid of a walking-stick) but it wasn’t until Sunday that I was properly recovered.

The alarm having passed I am now starting to feel the benefit of the jabs. I am planning sometime soon to walk from Maynooth to Dublin along the Royal Canal, that being the last leg of the National Famine Way. I want to be sure I can manage the 27km walk before attempting to do the full walk later in the summer. The weather is set fair for a few days so I might give it a go next week, assuming I manage to finish all my examining duties promptly. It’s the season finale at the National Concert Hall next Friday – followed by a long weekend break when I will be travelling a little, so I might try to do it on Thursday.

My next examination is not until Tuesday morning so, after several days of being shut away doing corrections, I can now spend a few days until the scripts are ready to collect doing numerous things that I’ve let slip while I’ve been busy. For one thing I have an inbox full of unanswered emails to attend to.

But for now I’m quite tired and in the mood only to vegetate.

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That Scottish Higher Maths Paper 1…

Posted in Education, mathematics with tags , , , on May 15, 2026 by telescoper

Talking of Examinations, I saw an article on the BBC website about a recent Higher Maths paper in Scotland which has generated complaints and a petition because it was allegedly unfair. The introduction to the petition states:

This is not a complaint that the paper was too hard. Students expect to be challenged. The problem is that the 2026 Higher Maths Paper 1 used language and phrasing that was confusing, ambiguous, and inconsistent with every past paper students had revised from. Questions were not simply difficult — they were worded in ways that made it genuinely unclear what was being asked.

Past SQA Higher Maths papers have followed a recognisable style: clear command words, standard notation, and questions that test understanding rather than the ability to decode unusual phrasing. The 2026 Paper 1 departed from this in ways that penalised well-prepared students simply because the wording did not match the conventions they had been taught to expect.

Numerous other news outlets have covered the story too. It is frustrating that most of the pieces focus on what people said about the paper but don’t actually include a link to the paper itself, making it impossible to make your own mind up.

So you can make your own mind up here is a scan of the actual paper (obtained from here):

2026_Higher_Maths_Paper_1_ScanDownload

Bear in mind that the Scottish examination system is not the same as in England & Wales – the “Highers” are not as advanced as A-levels and are more similar to the Irish Leaving Certificate.

My opinion, for what it’s worth having neither taught nor studied in the Scottish system, is that there is nothing out of the ordinary with this paper. There is a lot to do in just 75 minutes – for 12 questions that’s just over 6 minutes a question. I don’t like examinations that are speed tests.

That said, the questions look well structured and the “command words” are without exception on the list here. Some questions are easy and others harder: I think Question 12 is the most difficult, but I think that’s intentional – to stretch the stronger students. The only thing I would quibble with is the wording of 11(a) (ii):

The second sentence is redundant. How can one possibly “explain why” without giving “a reason”? The reason is basically that the quadratic remaining after you have taken out the factor (x+2) does not factorize.

I looked at the 2025 Paper 1 and it seems a similar level, though the questions are phrased in a terser fashion. Here it is for reference:

NH_Mathematics_Paper1-Non-calculator_2025Download

There may well be context that I’m missing, however, so I’d welcome comments on the diffculty and/or fairness through the box below.

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After Lectures but before Examinations

Posted in Education, Maynooth, The Universe and Stuff with tags , , on May 14, 2026 by telescoper

This morning I did my last teaching session of the Academic Year 2025-6, an informal revision lecture/tutorial on Computational Physics. It was optional, for the students, as this is officially a study break, and was at 9am, and only a handful of students showed up, but I hope those that did found it useful. As is often the case with optional sessions, I think the students who came were the keenest and probably therefore those who least needed last-minute tips for the examination, but that’s always the way.

In the past such revision classes have been routine, at least for me, but for some reason the University has taken to locking most of the teaching rooms during the study break. This causes huge problems finding a space to do revision sessions. I really don’t understand this. There are constant complaints from students about the lack of study space, and the response from the University is that right before the examinations they lock dozens of empty rooms.

Anyway, the Examination Period starts tomorrow morning, Friday15th, but most of the students who turned up this morning have their first examination on Tuesday 19th May (which happens to be Computational Physics).

take the opportunity to wish all students the best for their examinations:

You shouldn’t really be relying on luck of course, so here are some tips (especially for physics students, but applicable elsewhere).

  1. Try to get a good night’s sleep before the examination and arrive in plenty of time before the start. Spending all night cramming is unlikely to help you do well.
  2. Prepare well in advance so you’re relaxed when the time comes.
  3. Read the entire paper before starting to answer any questions. In particular, make sure you are aware of any supplementary information, formulae, etc, given in the rubric or at the end. You can always ask for log tables if there’s something you can’t remember.
  4. Start off by tackling the question you are most confident about answering, even if it’s not Question 1. This will help settle any nerves. You’re under no obligation to answer the questions in the order they are asked.
  5. Don’t rush! Students often lose marks by making careless errors. In particular, check all your working out, including numerical results obtained your calculator, at least twice
  6. Please remember the UNITS!
  7. Don’t panic! You’re not expected to answer everything perfectly. A first-class mark is anything over 70%, so don’t worry if there are bits you can’t do. If you get stuck on a part of a question, don’t waste too much time on it (especially if it’s just a few marks). Just leave it and move on. You can always come back to it later.

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Marking Over

Posted in Artificial Intelligence, Biographical, mathematics, Maynooth with tags , , , , on January 19, 2026 by telescoper

Well, that wasn’t too painful. I’ve completed my marking duties. The fact that it has been pouring with rain most of the day made it easy to concentrate on this task. I was going to have a break for lunch, but I decided to keep on going until I was finished, though I did have to take a break for a telecon this afternoon. I also had to dash out to the shops, primarily to replenish my stock of food for the garden birds but also to get some groceries for myself. Having skipped lunch I bought myself something nice for supper.

Looking at the departmental database I see that I appear to be the first member of staff to have finished and uploaded all their Semester 1 examination marking. Normally I’m just happy if I’m not the last!

It feels good to have finished this task. It’s definitely a weight off my mind. I wouldn’t want to leave any loose ends when Trumpageddon comes.

I can’t say anything about the results of course but the change I made to continuous assessment, from take-home assignments to class tests, does not seem to have had a negative effect on either group of students I have been teaching. The opposite may indeed have been the case, as the class tests perhaps provide better preparation for the final assessment than the previous method. I think some other lecturers might make a similar switch in future. Anyway, I definitely plan to do something similar for my Semester 2 module on Particle Physics.

Now I have a couple of weeks before teaching resumes so I can get on with other things. For the rest of this week my priority is to finish revising a paper that I hoped to do before Christmas. I’ll see how that goes before deciding what to do next.

I’ll also have to prepare teaching for Semester 2. That shouldn’t be too difficult, as I’ve taught both modules before, but I do have to give some thought as to precisely how I’m going to word the instructions on the use of AI for my Computational Physics module. That can wait a little while, though, as it mainly affects the mini-project to be done towards the end of the Semester. In the meantime I’ll be thinking about other things…

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Marking Progress

Posted in Biographical, mathematics, Maynooth with tags , , , on January 16, 2026 by telescoper

The last day of a week dominated by examination marking found me briefly back on campus to return the batch of scripts I have finished corrrecting and collect the next set (which, happily, is much smaller):

There are 14 scripts in the pile for my second paper, for my 4th year Mathematical Physics module on Differential Equations and Complex Analysis, around one-third of those for my Engineering Mathematics module Differentiaol Equations and Transform Methods. Based on the total number of examinations I have to mark I am therefore now 50% complete, but based on the number of scripts I’m about 75% through. I should be able to finish the latest batch in a day, but there’s no desperate rush so I’ll do them on Monday. I’m not going to start them now as I am off a concert – my first of 2026 – this evening and I prefer not to work at weekends unless I absolutely have to.

I finished the first set of marking yesterday, and spent most of this morning uploading and checking the scores and the conflation of exam marks with coursework scores. Satisfied that all is OK, I returned the scripts to the office for storage until our Examination Board meeting in about 10 days. I wasn’t on campus long, but there was a fire alarm in the Science Building while I was there. As usual, it turned out to be a false alarm.

Anyway, I should be finished with examination matters by Monday evening, which gives me four days next week to get on with other things. I’m looking forward to the change.

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The Exam Room – Cyril E. Power

Posted in Art with tags , , , , on January 15, 2026 by telescoper

The Exam Room by Cyril E. Power (c. 1934, linocut, 26.6 x 38.2 cm, Metropolitan Museum of Art, New York; not on display)

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Marking Time Once More

Posted in Biographical, Education, Maynooth with tags , , , , on January 13, 2026 by telescoper

Lecturers at Maynooth University are supposed to be available on the telephone to deal with queries from students concerning their examinations. And so it came to pass that yesterday I was “on call”. Since I live in Maynooth, I decided to come into campus in case of a query so I could go to the examination venue l to deal with it if required. In the event, however, the examination passed off without incident and nobody called.

I wasn’t twiddling my thumbs all morning though. It seemed a good opportunity to go through the accumulated coursework for this module, applying various exemptions for medical or other reasons, so that when I’ve marked the scripts I can immediately combine the results with the CA component.

The examination venue, incidentally, was not on campus but in the Glenroyal Hotel in Maynooth. The Sports Hall on campus is usually one of the places for examinations to be sat, but it is not available this year due to refurbishment. The other day I was in one of the shops in the shopping centre next to the hotel and there were some complaints about the lack of available car parking spaces owing to so many students parking there for their exams. Anyway, the exam scripts found their way to my office this morning and here I am again, back home with a stack of an examination scripts to mark. The picture shows about 40 papers from my module on Differential Equations and Transform Methods. I want to get them out of the way as quickly as possible as I have another paper coming up on Thursday and have a lot of other things to do before term starts at the beginning of February. All the usual displacement activities having been exahusted, I’ve already made a start. With a bit of luck I’ll complete this task by Thursday.

I’ve often discussed the process of marking examinations with my colleagues and they all have different techniques. What I do is mark one question at a time rather than one script at a time. What I mean by that is that I go through every script marking all the attempts at Question 1, then I start again and do Question 2, etc. I find that this is much quicker and more efficient than marking all the questions in each script then moving onto the next script. The reason for this is that I can upload into my mind the model answer for Question 1 so that it stays there while I mark dozens of attempts at it so I don’t have to keep referring to the marking scheme. Other advantages are that it’s easier to be consistent in giving partial credit when you’re doing the same question over and over again, and that also you spot what the common mistakes are more easily.

Anyway, I’ve decided to take a break for today. I’ll start again tomorrow.

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Exam Time Yet Again

Posted in Education, Maynooth with tags , , , on January 8, 2026 by telescoper

The January examination period at Maynooth starts tomorrow (Friday 9th January), so I thought I’d do a quick post on the topic of examinations. First of all let me wish the very best of luck to everyone at Maynooth or elsewhere taking examinations in the next few weeks. I hope at least that the exam halls are nice and warm! Actually, owing to the Sport Hall being unavailable for this examination period owing to building work, some exams will be off campus; my first exam paper is actually being sat in the GlenRoyal hotel.

Here’s a video produced by Maynooth University to remind those taking exams of some general points about preparation and, most importantly, to look after themselves before during the examination period. It’s directed at Maynooth students but students from elsewhere may find useful tips in it.

I completed the last of my revision sessions today but, as the first examination for which I have responsibility is not until Monday 12th, I’ll have to wait to find out how any of my own students have done but let me take this opportunity to pass on a few of my own tips more aimed at students in Physics:

  1. Try to get a good night’s sleep before the examination and arrive in plenty of time before the start. This is especially important when there’s bad weather that may disrupt travel. It is your responsibility to get to the examination on time!
  2. Read the entire paper before starting to answer any questions. In particular, make sure you are aware of any supplementary information, formulae, etc, given in the rubric or at the end.
  3. Start off by tackling the question you are most confident about answering, even if it’s not Question 1. This will help settle any nerves.
  4. Don’t rush! Students often lose marks by making careless errors. Check all your numerical results on your calculator at least twice and – PLEASE – remember to put the units!
  5. Don’t panic! You’re not expected to answer everything perfectly. A first-class mark is anything over 70%, so don’t worry if there are bits you can’t do. If you get stuck on a part of a question, don’t waste too much time on it (especially if it’s just a few marks). Just leave it and move on. You can always come back to it later.

Readers of this blog are welcome to add other tips through the comments box below!

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Good Luck in Your Repeat Exams!

Posted in Education, Maynooth with tags , , , on August 6, 2025 by telescoper

Since the repeat examination period at Maynooth University starts today, Wednesday 6th August, I thought’d I’d send a quick message for students taking one or more exams…

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The 2025 Leaving Certificate Physics papers

Posted in Education, Maynooth with tags , , , on June 18, 2025 by telescoper

As I have already mentioned on this blog, examinations for the 2025 school Leaving Certificate are under way. One of the interesting things about the Irish system is that the examination papers are put up online immediately after the examinations so it’s very easy to share the content. I have already posted the two Mathematics papers for 2025. This year’s Physics examinations (at Ordinary and Higher level) took place this morning, so I thought I’d share the papers here. In particular, readers in the UK might be interested to compare the standard of these papers with that of current A-levels in Physics.

One thing I should mention is that Leaving Certificate Physics is not a prerequisite for entry into any of our Physics programmes at Maynooth University. Some do have it, but many don’t. We teach the first-year material from scratch for all students. Anyway, here are this years papers, Ordinary and Higher respectively. As usual comments are welcome, through the box below:

LC021GLP000EVDownload
LC021ALP000EVDownload

I think the Ordinary level paper could have done with better proof-reading. As well as Jim’s comment below, there is

Explain how your calculations can be used to verify the principle of conversation of
momentum.

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