Archive for Leaving Certificate 2023

Talking about the Leaving Certificate

Posted in Literature, mathematics, Maynooth, Poetry with tags , , , , , , on June 10, 2023 by telescoper

One thing that I forgot to mention in my post about examinations a few days ago is that students at Irish schools all sit exactly the same examination papers at the same time. This is very different from the UK where there are several different Exam Boards that have different syllabuses and set different papers. One consequence of the Irish system is immediately an exam is over, there is a national discussion of the students’ and teachers’ reaction to it. The examination papers are posted online after the examination too – you can find them here – so that everyone can join in the discussion.

I have to admit that when I was a student I was never one for talking about examinations after I had taken them. While most of my peers stood around outside the Exam Hall conducting a post mortem on the paper, I usually just went home. I always figured that there was nothing I could do about the results then so it was best to put it behind me and focus on the next thing. That’s what I’ve recommended to students throughout my career too: don’t look back, look forward.

Anyway, the first Leaving Certificate examination this year (on Wednesday) was English Paper 1, followed by Paper 2 on Thursday. Both seem to have been received relatively favourably by students; see some discussion here and here. Paper 1 is really an English Language Examination, with exercises on comprehension and composition while Paper 2 focuses on literature. Every year summer I look at the set books and poems for the English Leaving Certificate Paper 2 and they’re usually an interesting mix. This year the novels included Mary Shelley’s Frankenstein, Raymond Chandler’s The Big Sleep, Oscar Wilde’s The Picture of Dorian Gray, and Margaret Atwood’s The Handmaid’s Tale. The list of poets for the Higher examination was Elizabeth Bishop, Emily Dickinson, John Donne, Patrick Kavanagh, Derek Mahon, Paula Meehan, Adrienne Rich, and W.B. Yeats. Not all the texts come up in the examination. In the case of the poets, for example, Mahon, Kavanagh, Meehan, Donne and Rich appeared on Paper 2 but there was no Dickinson, Donne or Bishop.

While I have a personal interest in English literature, the English examinations are not relevant to me in a professional capacity. On the other hand, the Leaving Certificate papers in Mathematics are of direct relevance to me as a Professor in the Department of Theoretical Physics because they indicate the level of mathematical preparation of students likely to come in next academic year.

General reaction to Higher Mathematics Paper 1 seems to have been much more mixed than for the English papers, with many students taking to social media to express shock that it was so difficult: the hashtag #MathsPaper1 is still trending on Irish Twitter; you can also find some reaction here.

I have looked at the paper but can’t really comment on the level of difficulty because I haven’s studied previous years examinations in detail but I will say that (a) there’s quite a lot to do in the 150 minutes allowed and (b) there’s nowhere near as much calculus as in my A-level Mathematics over 40 years ago (though remember that Irish students do more subjects in the LC than UK students who do A-levels). Note also that because of the pandemic, this would have been the first state examination taken in Mathematics by many students.

The Leaving Certificate Higher Mathematics examination is split into two sections of equal weight. Section A (‘Concepts and Skills’) requires students to answer 5 questions from 6 (each split into parts); Section B (‘Contexts and Applications’) gives a choice of 3 out of 4 longer questions. That’s less choice than I expected; students have to answer 8 out of 10 questions. The Ordinary Level Examination has the same structure, but the questions are much more straightforward.

Mathematics Paper 2 is on Monday, so I’ll update this post then.

Update: Mathematics Paper 2 seems to have gone down much better than Paper 1. You can find it, along with some reaction, here.

2 Comments »

Examinations, Past and Future

Posted in Biographical, Education, mathematics, Maynooth with tags , , , , , on June 7, 2023 by telescoper

No sooner is yesterday’s departmental Examination Board done and dusted (after just two and a half hours) when attention switches to school examinations. The Junior Certificate and Leaving Certificate examinations both start today, so the first thing I need to do is wish everyone taking examinations the very best of luck!

Among other things, the results of the leaving certificate examinations are important for next year’s University admissions. As we gradually dispense with the restrictions imposed during the pandemic, it seems this year we just might have the results before the start of teaching at the end of September. That will make a nice change!

In the system operating in England and Wales the standard qualification for entry is the GCE A-level. Most students take A-levels in three subjects, which gives them a relatively narrow focus although the range of subjects to choose from is rather large. In Ireland the standard qualification is the Leaving Certificate, which comprises a minimum of six subjects, giving students a broader range of knowledge at the sacrifice (perhaps) of a certain amount of depth; it has been decreed for entry into this system that an Irish Leaving Certificate subject counts as about 2/3 of an A-level subject for admissions purposes, so Irish students do the equivalent of at least four A-levels, and many do more than this. It’s also worth noting that all students have to take Mathematics at Leaving Certificate level.

Overall I prefer the Leaving Certificate over the UK system of A-levels, as the former gives the students a broader range of subjects than the latter (as does the International Baccalaureate). I would have liked to have been allowed to take at least one arts subject past O-level, for example.

For University admissions points are awarded for each paper according to the marks obtained and then aggregated into a total CAO points, CAO being the Central Applications Office, the equivalent of the UK’s UCAS. This means, for example, that our main Science pathway at Maynooth allows students to study Physics without having done it at Leaving Certificate level. This obviously means that the first year has to be taught at a fairly elementary level, but it has the enormous benefit of allowing us to recruit students whose schools do not offer Physics.

As much as I like the Leaving Certificate, I have concerns about using a simple CAO points count for determining entry into third-level courses. My main concern about is with Mathematics. Since the pandemic struck, students have been able to choose to questions from just six out of ten sections. That means that students can get very high grades despite knowing nothing about 40% of the syllabus. That matters most for subjects that require students to have certain skills and knowledge for entry into University, such as Physics.

I’ve been teaching the first year Mathematical Physics course in Maynooth for about 5 years. At the start of the module I put up a questionnaire asking the students about various mathematical concepts and asking them how comfortable they feel with them. It’s been noticeable how the fraction that are comfortable with basic differentiation and integration has been falling. That’s not a reflection on the ability of the students, just on the way they have been taught. As well as making adjustments during the pandemic for online teaching, etc, I have changed various things about the teaching, in particular adjusting the way I have introduced calculus into the module. Another problem is that we have been forced to start teaching first-years a week late because of delays to the CAO process caused by the pandemic.

I’ll be on sabbatical next academic year so I won’t be teaching the first-years (or anyone else) in September. It’s time to hand these challenges on to someone else!

1 Comment »