Archive for Log Tables

Foirmlí agus Táblaí

Posted in Education, Maynooth with tags , , on April 1, 2023 by telescoper

I’ve written on here before about Log Tables but since I’ve recently acquired a set of my own I thought I’d celebrate by mentioning them again. This is what the term “Log Tables” refers to in Ireland:

This book is in regular use in schools and colleges throughout Ireland, but that the term is a shorthand for a booklet containing a general collection of mathematical formulae, scientific data and other bits of stuff that might come in useful to students. There are a lot more formulae than tables, but everyone has calculators now so those aren’t really necessary. There is no table of logarithms in the Log Tables, actually. I suppose much older versions did have more tables, but as these were phased out the name just stuck and they’re still called Log Tables.

The official book costs €4. I bought it in Maynooth’s excellent local independent bookshop. The man who served me knew exactly what I meant when I asked for Log Tables.

I’m old enough to remember actually using tables of logarithms (and other mathematical tables  of such things as square roots and trigonometric functions, in the form of lists of numbers) extensively at school. These were provided in this book of four-figure tables (which you can now buy for 1p on Amazon, plus p&p).

As a historical note I’ll point out that I was in the first year at my school that progressed to calculators rather than slide rules (in the third year) so I was never taught how to use the former. My set of four-figure tables which was so heavily used that it was falling to bits anyway, never got much use after that and I threw it out when I went to university despite the fact that I’m a notorious hoarder.

Students in Theoretical Physics at Maynooth are allowed to ask for Log Tables in any formal examination. The formulae contained therein are elementary in terms of physics, so won’t help very much with more advanced examinations, but I have no problem with students consulting the Log Tables if their mind goes a bit blank.  It seems to me that an examination shouldn’t be a memory test, and giving students the basic formulae as a starting point if anything allows the examiner to concentrate on testing what matters much more, i.e. the ability to formulate and solve a problem. The greatest challenge of science education at University level is, in my opinion, convincing students that their brain is much more than a memory device.

Here’s an example page that shows some elementary formulae for Mechanics with explanations as Gaeilge in English.

These formulae come up in Physics and/or Applied Mathematics at Leaving Certificate but we don’t require students taking Mechanics in the first year to have done either of those subjects so many students find pages such as this very helpful.

I was interested to learn that colleagues in the Department of Mathematics and Statistics here in Maynooth do not allow the use of Log Tables in examinations. I don’t know why.

When Log Tables aren’t Log Tables

Posted in Education, mathematics, Maynooth with tags , , , , , on May 17, 2018 by telescoper

Every now and then – actually more frequently than that – I reveal myself in Ireland as an ignorant foreigner. The other day some students were going through a past examination paper (from 2014) and I was surprised to see that the front cover (above) mentioned  `log tables’.

Now I’m old enough to remember using tables of logarithms (and other mathematical tables  of such things as square roots and trigonometric functions, in the form of lists of numbers) extensively at school. These were provided in this book of four-figure tables (which can now buy for 1p on Amazon, plus p&p).

As a historical note I’ll point out that I was in the first year at my school that progressed to calculators rather than slide rules (in the third year) so I was never taught how to use the former. My set of four-figure tables which was so heavily used that it was falling to bits anyway, never got much use after that and I threw it out when I went to university despite the fact that I’m a notorious hoarder.

Anyway, assuming that the mention of `log tables’ was a relic of many years past, I said to the group of students going through the old examination paper that it seemed somewhat anachronistic. I was promptly corrected, and told that `log tables’ are in regular use in schools and colleges throughout Ireland, but that the term is a shorthand for a booklet containing a general collection of mathematical formulae, scientific data and other bits of stuff that might come in useful to students; for an example appropriate to the Irish Leaving Certificate, see here. One thing that they don’t contain is a table of logarithms…

Students in Physics & Astronomy at Cardiff University are also given a formula booklet for use during examinations. I don’t remember having access to such a thing as an undergraduate, but I don’t object to it. It seems to me that an examination shouldn’t be a memory test, and giving students the basic formulae as a starting point if anything allows the examiner to concentrate on testing what matters much more, i.e. the ability to formulate and solve a problem. The greatest challenge of science education at University level is, in my opinion, convincing students that their brain is much more than a memory device…