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Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Tuesday, January 31, 2012

Choose Life, Choose a Job, Choose STEM!


Choosing a third level course is an important decision and one that will have lasting effects on you and your career. As a Guidance Counsellor, I believe that decision is ultimately about finding a course / direction that suits your personality, aptitude and ability. However, it's also about looking to the future and about giving you the best opportunity to grow in your career. With the "official" closing date for CAO (Irish university applications) at 5:15pm tomorrow, my advice is to think STEM! 

STEM stands for Science, Technology, Engineering & Mathematics and encompasses a wide range of training courses which help to develop critical thinking, problem solving and analytical skills. These skills are highly sought after and valued across a range of industries and a degree in science, engineering, technology or maths will provide a solid foundation for a future career. According to the IDA, the technology and science industries in Ireland are set to grow in the coming decade, providing well qualified young graduates with job opportunities. Saying that, the skills obtained while studying STEM subjects are highly transferable to other industries - areas that value critical thinking and analytical skills.

The Irish universities and IT's offer a wide range of STEM courses - at NFQ Level 6, 7 and 8. There is a STEM course for everybody and a quick search through Qualifax will help you find the STEM course for you. CareersPortal.ie has a brilliant section to help you find out more about STEM careers. You can explore hundreds of career possibilities through their website and view all the CAO courses in the STEM disciplines. There is also a large video library of people involved in STEM professions.

Let's face it - if you're studying for the Leaving Certificate this year, you are likely to face an extremely competitive jobs market in 5 years time. Choosing a STEM course will help you develop the skills that will help you get you that job - you will need to add a little bit of your other strengths to guarantee it's yours. 

Note: The closing date for normal CAO applications is tomorrow, however you don't need to finalise your course choices until much later. While the CAO system will shut for a few months, from early May you will be able to able to change your course preferences if you need - except restricted courses (including nursing) which need to be on your preference list by tomorrow.

Friday, August 19, 2011

New Year, Same Argument: Standards in Maths & Science


Last year I wrote a piece on this blog arguing the case for the supposedly poor standards in maths and science in this country and specifically in the leaving certificate. I feel it important to reiterate some of the points made in that post (and some new ones) as the issues seems to reoccur every year and I feel it is unfairly represented in the media - especially in print. 

The Leaving Certificate is a deliberately broad curriculum requiring candidates to study at least six subjects over a two year period. Most study seven while some study eight. This broad curriculum does not suit most individuals and is the exception rather than rule when compared to most other European countries - who generally adopt a more focused curriculum in the senior cycle - for example UK students study a minimum of three subjects at A Levels. This all means that the average leaving cert pupil will spend approximately 45 minutes with each subject per day - five or six lesson periods per week per subject including subjects like maths, physics or chemistry. This simply isn't enough time to reach the standards that we set for ourselves. We need to allocate more class contact time with pupils for all subjects if we are to meet our own high expectations. To do this we need to either increase the school day (Ireland already has one of the longest schools days in Europe) or reduce the number of subjects required at leaving certificate. For me, the latter is the most obvious for a number of reasons. At the moment leaving cert students are seen to make their subject choices based on which subjects are easiest to obtain good grades in - besides aptitude and interest. Reducing the number of subject taught at leaving cert would mean a more focused approach could be taken in the subjects, more class contact time given to each subject, more time for exploring the practical applications of subjects like maths and science in these classes and less pupils picking subjects that they neither have an aptitude for or an interest in. This would also allow the students with a strong aptitude in science and maths to focus on these subjects without having to study subjects that they have no interest or aptitude in.

In Ireland, mathematics is a compulsory subject at leaving certificate. To compare the performance of every Irish student in mathematics to students in other European countries is simply unfair. In the UK, only 30% of A Level students study mathematics this year. While on paper the standards they achieve is very high (around 44% achieve A*'s or A's annually) the A Level system has been undergoing dramatic grade inflation over the past decade. They also have more class contact time due to their more focused curriculum. It must also be remembered that an A grade in Ireland is awarded for scores over 85% while in the UK it's 70%. Granted, there is a high failure rate in maths in Ireland but if the subject was optional these students would choose subjects more suited to their aptitudes.

In Ireland, over 50% of leaving cert students choose a science in their senior cycle. When compared to the UK the figure is around 17%). This figure is mainly down to the numbers of students studying biology while the percentage of students studying chemistry and physics in Ireland is slightly lower than our nearest neighbours. This all comes down to the so called "points race". Students choose seven or eight subjects which they feel will allow them get the most points. Chemistry and physics are known as more difficult subjects so less students choose to study them. The high numbers in biology are down to students requiring at least six subjects and to "keeping their options open" in terms of university choice (it is also perceived as an easy option). Neither outcome is favourable. We have students capable (and possibly interested) in studying physics and chemistry but choosing not to because of the points system. We have students choosing biology who have neither the interest nor aptitude. We need radical reform of the points system to remove these negative outcomes and encourage more students to study the sciences for the right reasons. 

We also need to remove the leaving cert's dependence on the terminal exam. These exams are good are assessing rote learning or the ability to learn off definitions and formulas. They are limited at determining the candidates ability to problem solve or adopt scientific knowledge to practical problems. This is what science is about - it's a process not a collection of facts and figures. At the moments we are in a system which rewards rote learning and memorising facts. We want to teach students to ask questions not answer them. This will mean a change in how we assess our students and will require some form of continuous assessment. The ASTI don't like that word but teachers and their unions need to take as much responsibility for educational reform as politicians should. No longer can we see ourselves as pawns in the process - we are part of the system and the ones best positioned to offer advice and suggestions for our system's urgent reform.

Finally, I can plead to the Irish media adopt just one stance on this issue. Either complain about grade inflation in the leaving cert or poor standards. You can't have it both ways. To say in one article that the number of pupils achieving A's is rising and this needs to be addressed and in another criticise teachers and the DES for poor standards simply won't cut it. Make up your mind on what you want to report on.

So, to conclude, we need to:
  • Remove the points system as it currently stands and radically reform how students are chosen for university entry.
  • Reduce the number of subjects studied for the leaving certificate to four.
  • Make maths optional allowing the syllabus to expand.
  • Make our assessment procedures less exam focused.
  • Teachers need to take responsibility for educational reform too and become more proactive in this regard.

Saturday, November 13, 2010

New Formula for Changing Mathematics Education

In this very short video from Ted.com, Arthur Benjamin gives his new formula for reform in mathematics education. Benjamin is a mathematician and magician (he coined the term mathemagics to amalgamate his two passions) and sees calculus as having little influence on our everyday lives. However, he sees one area of mathematics that can aid our understanding of economics, financing and business - statistics and probability. Do you agree with him?

Tuesday, September 14, 2010

Budget 2010 - Cuts to Education Never Heal


As the government look to make at least €3 Billion in savings in their December budget, through tax increases and a significant reduction in public spending, they must resist the urge to make any cuts in education and, if possible, look to increase funding in this sector. While potential cuts look like an easy option, they go against publicised government policy and could damage our economic recovery and international reputation.

Smart Economy
The government's economic and job creation plans are based around the development of a knowledge based "smart" economy, centred around the formation of jobs in science, engineering, manufacturing, as well as research  and development. To attain the ambitious goals outlined in their policy document, significant investment must be made in education, particularly in secondary education (science and maths), third level (university sector) and in continued education and training (ideally through some other organisation instead of FÁS). The government's own policy document on the formation of the smart economy states that "Ireland is already laying the foundations of the ideas economy by investing significantly in education". However, the recent OECD report contradicts their assertions.

OECD Report
The recently published OECD annual "Education at a Glance" report suggests that in 2007 Ireland was spending just 4.7% of its income on education, placing us 30th out of the 33 OECD countries. The average spend was 5.7%. The report also shows that from 1995 to 2007 the proportion of GDP that went to education in Ireland fell by half a percentage point and, at the height of the boom, Ireland was spending significantly less of a proportion of its income on education compared to other OECD countries. The most significant disparity occured in the third level sector, with Ireland only spending 1.2% of income in this area, 0.3% below the average. The report continued to pluck holes in the governments retoric - Irish class sizes are amongst the highest in the OECD and second highest in the EU and that 39% of Irish teachers receive no evaluation on work performance, the highest of all OECD countries. (For the full report, click here.) Of course, the report does not include the dramatic cuts in education seen in last year's budget, which saw funding for free books for poor children withdrawn in 90% of schools, equipment and resource grants for resource teachers working with special needs children abolished, funding of €4.3m for Traveller children slashed, €2.1m gone from school library grants and pupil teacher ratios increase across all schools. So government policy and action clearly don't match up. These facts highlight that we need to increase funding in education in Ireland, and most certainly not make further cuts.

Saturday, August 21, 2010

Standards in Maths and Science


Since the publication of this year's Leaving Certificate results on Wednesday, numerous commentators and multi-national companies have been commenting on the low standards in mathematics and science amongst this year's cohort. They are saying that the failure rates for maths and science subjects is unacceptably high and that this will have an negative effect on the government's plans for the development of a "smart economy". Such a smart economy is based around the facilitation of science, engineering and manufacturing companies employing well educated and well trained Irish graduates. This is a significant issue, but there is a clouding of the facts which needs to be addressed.

It is true to say that the numbers sitting Leaving Cert maths at higher level is too low. It is also fair to say that the failure rates in maths are too high. But I have a level of sympathy for the Department of Education and Skills on this issue. Firstly, maths is a compulsory subject at Leaving Cert level and the standards set are very high - comparable with Scottish Highers but slightly below the standards of A-Level (where pupils sit only three subjects) or International Baccalaureate (IB). This means that when comparing the results obtained by Irish pupils in mathematics with those in English, Northern Ireland, Scotland, Wales or those sitting the IB, Irish pupils simply won't match up, as none of these system require compulsory mathematics in their terminal exams. Ireland is very much the exception rather than the norm in insisting on all pupils sit mathematics. In the UK, only 77,000 of the 310,000 pupils (around 24%) sitting A-Levels did mathematics, of which over a ridiculous 40% achieved an A grade (an A grade in Ireland is reserved for pupils obtaining 85% or above while in the UK a pupil achieving over 70% obtains an A grade). You simply cannot compare the two. If maths was to be made optional at Leaving Cert level, I am sure our standards would compare much more favourably with our nearest neighbours. Project Maths, the new initiative piloted this year, did produce slightly higher percentages of A grades and lower failure rates - but I think everyone expected that to happen. Whether this was because of a better understanding of the principles or a more lenient marking scheme, I don't know, but I do welcome a more practical and relevant approach to teaching and learning about mathematics.