Joe’s Jotter – Should I Persevere with Higher Level Maths in 2023?

 

More students over the last few years have taken on the task that is Leaving Cert Higher Maths. In June 2022, out of the 57,347 who sat a Leaving Certificate Mathematics Paper, 21,265 of them opted for higher level (37%). Even though the bonus points are very enticing, students need to be careful and be fully aware of what exactly they are embarking on. In my experience, there is a lingering doubt among many 5th and 6th years about being able to tackle higher Maths. Scoring low grades in class tests doesn’t really do much for confidence, but it doesn’t automatically mean you should change level. The question is: Should you remain battling higher level Maths or is it worth the time and effort at all?

This article should reassure those suitable for higher (those who fight the good fight day after day) that they can in fact achieve what they are aiming for. Each year, deciding Maths levels is a tricky issue for students and involves many considerations. It is made even more complex in this subject with the bonus points at play. For those of you who are unsure about higher Maths, it may be worth applying some logic to any inclination to switch. As well you know, us ‘Maths creatures’ are very logical beings lol.  I find that logic is more factual and definite in making decisions like this. It may be more sensible to apply a touch of it here, rather than just using pure emotion. Don’t get me wrong: your gut feeling is important too; but read on to understand what I mean…

I Can Take on this Challenge

Firstly, there is a misconception out there that if you fail Maths, you fail the full Leaving Cert. This isn’t true at all. The two worst things that can happen if you are unsuccessful in Maths is that you will have that low grade for Maths on your CV. Or, if a certain grade in Maths is a requirement for a specific third level course, you will not be offered that course no matter how many points you get; that’s as bad as it gets.

I think having a good Interest in Maths is a great starting point in taking on higher level. Enthusiasm for this subject will go a long way to achieving your desired goal in it.  Students, do you secretly enjoy the challenge of those long practical questions in double classes, or do you dread the thoughts of Maths homework each night? Do you like working with numbers or are you mis-understanding the majority of your teachers’ methods? These are some initial questions to ponder.

Personally, I feel that students know in their heart what level Maths they should be doing. If you feel in your gut that you are lost in class or if it is taking too much time away from other subjects; then reflect and talk it through now. If your anxiety about the subject is getting too high and your grades are dropping, it may be time to move. Definitely, if you have struggled to grasp much of the basic Algebra in fourth and fifth year, it may be a sign that the standard is too difficult for you. However, remember also that there are so many varied topics in Maths, and you may have a flair for some and no real interest in others. Very few of us are good at everything, even the best of the best.

Head Above Water

I always feel that students scoring above thirty percent (approximately) in Class, Christmas and Mock examinations should be able to raise their game to get over the line in the State exams. Students scoring consistently below thirty need to look into their heart and start conversations with their teachers, parents and indeed themselves about what to do. It is important not to remain in the class for the sole reason that your parents want you to do honours. Only you know the content of the Maths course you are studying and how it is going for you. Many students and even some Teachers place too much emphasis on the spring Mock result. I disagree with this premise and prefer to look at the bigger picture. From a percentage assessment point of view, I feel you need to look at a combination of exams sat (even fifth year ones) and indeed your Junior Cycle grade. Keep in mind that the upcoming mock examinations in springtime tests topics across the complete course at a time when you haven’t fully completed it yet.

Is there a Template for Staying or Going?

My intention in this article isn’t to outline a template for who should remain or drop down, as there are a lot of factors that need to be considered. I am simply encouraging you to reflect and balance the argument for yourselves. Over the years, I have taught a substantial number of students who I considered borderline higher level students. Many of them remained at higher and actually ended up outperforming those I perceived as rock solid higher level candidates. Maybe these students felt like they needed to work harder and hence prepared better consequently. There is a lesson in this. American Basketball player Kevin Durant once said, ‘Hard work always beats Talent when Talent doesn’t work hard enough’. The statistics also stack in your favour.  In June 2022, 98.4% of students who attempted higher level Maths got a H6 grade or above and therefore picked up the 25 bonus points. That is extremely high!

In general, your teacher won’t put you too far wrong when decision time arrives. By the middle of sixth year, they know your strengths, weaknesses, and the limits of your capabilities, assuming they have taught you since the start of fifth year. Timing is also an issue. If you do need to drop down to Ordinary level, I wouldn’t leave it any later than Easter. This gives you some time over the Easter holidays, and when you return for the final term, to get familiar with the Ordinary level standard and format of the exam paper. Changing levels on the day of the exam is totally unadvised and should not be considered.

Factors That Will Guide Level Choice

In summary, think about and discuss the below factors in detail with your parents and teachers before attempting to change levels in any subject. Along with mock performance, here are the other factors to consider when making decisions regarding level changes:

  • Your teacher’s opinion.
  • Your ‘potential’ points change.
  • Your Junior Cycle performance.
  • Your attendance in class thus far.
  • Your ‘working relationship’ with your teacher.
  • How much you enjoy studying the subject.
  • Results in previous Christmas and Summer tests.
  • How much of the course you have done thus far.
  • Your own gut feeling and attitude towards the subject.
  • Results in all your class tests since the beginning of fifth year.
  • The amount of effort you are putting into this subject balanced against others.
  • Minimum entry requirements for third level (e.g. a H6 in Maths maybe?).

Before making your final decision, take out a piece of paper and write down all the pros and cons of remaining at higher level or changing.  On the back of the sheet, write a few paragraphs on how you are actually feeling about it right now. Keeping the above list of factors in mind, the answer you are searching for should appear somewhere within these pages as your thoughts and feelings stream out. Use these thoughts to answer your own doubts and plough on from there. Contact me if I can advise you in any way. Joe

More details about Joe’s Maths Tuition Classes for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the links:

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

 

Joe’s Jotter: How to Become More Competent in Maths 2022

Grasping a subject of difficulty is always a big challenge for even the best students. One of those subjects is too often Mathematics. Maths seems to have developed a ‘bad boy cred’ over the last twenty years, but I feel things are getting better slowly and I know students feel more positive about it since the introduction of Project Maths in 2008. In general, I think students are enjoying the more practical approach in the subject since these changes. The existing course is however still quite long, and you need to box clever in order to pin it down. Many students are still trying to come to terms with the number of words on Maths exam papers and indeed how they link to the concepts. I totally get this. However, I still believe you can learn to grasp the key concepts without being born a Maths genius.

Can Anyone Be Successful at Maths?

People regularly ask me about this, and I believe Maths is a subject everyone can do well in by being willing to try different methods. For sure, parents have a role to play here, so students should get them involved. Parents can get involved in homework from an early age and should be encouraged to send notes to the teacher if there is a particular area their child is struggling with. Above all, it is imperative that Parents pass on a positive attitude about Maths early on. A ‘can do’ attitude gives the student belief that they can face problems in the subject and come through them. Encouragement and positivity are the most constructive way any parent can help boost their child’s ‘Maths conviction’.

Maths is Learning by Doing

To me, Maths is a subject where you need to be continuously ‘learning by doing’ and the importance of attempting exam style questions cannot be underestimated. Reading through questions and text like you do in other subjects will not work in Maths. Having access to a structured solution book for exam questions is important. Inevitably with some challenging questions in the subject, you will run into difficulties getting started and this is where having the first line or two of the solution can be extremely helpful; a detailed solutions book is ideal for this. I believe that referring to the first part of a solution and then revisiting the question yourself is a very efficient way of developing key Maths skills. This technique isn’t one much practiced in other subjects, but Maths is unique in itself as we know.

Skills That will Improve Your Maths

You must adopt different approaches to improve success in Maths. A genuine attempt to start a question in Maths will allow you to gain momentum and progress to apply the concepts you have learned in class. In my experience, the biggest stumbling block to achievement in Maths is getting the question started; but a single grain of rice can tip the scales. In general, if you are finding it difficult to get started and feel lost in Maths, start by practicing the part (a) questions in your past exam papers and work your way upwards to part (b) and so on. If you are an exam student, go back on your 2nd or 5th year notes to refresh those key basics. The majority of students just fire notes from previous years in a corner. Past notes should be stored carefully for ease of access later. It’s amazing how much you will recall about what you wrote down and what advice your teacher gave you back then. This is a good starting point. As you always hear me say, Algebra is jewel in the crown at all levels. Maths is about having a go, knowing the tricks, when to use formulae, consistent practice and really believing in your ability and the work you have done. Joe

“The harder you work, the luckier you get. Every effort will open a door.”

More details about Joe’s Maths Tuition Classes for 5th & 6th Year (Leaving Certificate Students) and his Award Winning ACE Maths Solution Books for all students can be found via the links:

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****
Photo:@ZhangChaosheng

Joe’s Jotter: My ACE Pointers to Help Students Settle Back into Revision

Students,

As we reach the end of our first month in school, you may be struggling to return to some kind of a revision routine. Here are six useful signposts for all students to get you back into the swing of completing homework and revising classwork.

  1. Take regular breaks.

Yes, really! Taking short five-minute breaks every thirty minutes should keep you fresh and focused. However, make sure that five minutes doesn’t turn into an hour! Go for a short walk, call up a friend or have a snack and then come back to your work on time. Some studies have found that having a natter with friends can have a positive effect on memory and that laughing increases serotonin (the body’s chemical that makes you happy). It is important to leave your study area during your breaks to get a change of perspective and return with renewed energy for the next session. Enjoyable breaks will allow you to become more efficient with your study blocks. Setting mini targets like completing a long exam question followed by a prolonged break is a smart way to operate.

  1. Stay alert and interested.

When reading, it is a good idea to make notes or highlight key terms. I believe you should always revise with a pen at hand. I feel that just by reading a piece of text, you are not actively engaging with it. In my experience, you will remember more by summarising it or even just by making red or green sub notes on the page. This method keeps the brain tuned in to the task at hand. Other learning methods you might consider for variety include YouTube videos, online quizzes, or creating mind maps. If you find yourself struggling to stay alert, you are probably tired, and it may be time for a break or retirement for the evening.

  1. Be ruthless with your notes.

Many students go to educational institutions after Christmas to boost their store of materials and, of course, their confidence. However, I have seen many students over the years become overwhelmed with too much material and they just end up getting swamped, not knowing where to start. In subject areas you find difficult, reduce your material into manageable, thought-provoking snippets. If you take notes in class, make sure to date and keep them for revision later. Dig out last year’s material requiring revision at this point. It is important to keep a record of what topics you have done in class and how long your teacher has spent on them. This will ensure you are clear on what has been covered and what still needs to be investigated. Being persistently consistent in relation to your notes is a big factor in doing well in exams.

  1. Set goals and keep records.

Setting goals will help you monitor your study and will give you something to work towards. If you under perform in a class test, set a mini goal for your next test to improve by a certain percentage. In your school journal, write down all your goals and check them off as you complete them – name it a ‘Junior Cycle or Leaving Cert bucket list’. Ultimately, use long-term goals to motivate you to ACE the short-term ones. Long-term goals might include a points target in your Leaving Certificate, a possible trip to third level or scoring that rewarding job later. A short-term goal will help you get where you want to be long term. Reviewing the success of your short-term goals every two weeks will give you a sense of achievement. An example of a short-term goal could involve summarising and understanding a chapter from your book and completing a past exam question relating to it. All my successful students over the years have created plans and set goals for themselves.

  1. Earn your rewards.

Don’t forget to ‘have a life’ as you develop a routine that works for you. Reward yourself after a long study session with a trip to the cinema or visit to your friends. Ultimately, reward yourself with breaks, taking a reasonable one after every good hour’s work. There is nothing wrong with the odd bar of chocolate, ice-cream, or packet of gummy bears; everyone who has done something constructive deserves a little thank you. Earn rewards with each thorough revision session you complete. This will Increase motivation and improve your overall revision output.

  1. Start thinking about Past Exam papers.

Those of you in Exam years: Are you familiar with the layout of each exam paper and its marking scheme? If not, you need to get checking. You can source all the past exam papers in the ‘Examinations Material Archive’ section of the examinations.ie website. If you are doing exams in 2023 and haven’t a set of exam papers for each subject, don’t delay, get them today. A large part of your revision should be to assess and practice answering questions from past exam papers (under time pressure) on the topics you have covered in class. Remember also that each subject’s exam paper is different, so you need to familiarise yourself in each subject. You need to find out the exact layout and style of each individual paper. Is there a choice in sections? How many questions do you need to attempt in each section? Are there short/long questions or both? And most importantly, how long can you plan to spend on each individual question? Being super familiar with paper layout is key. Joe

‘Eat that Elephant, chunk by chunk, bit by bit, step by step.’

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

Joe’s Facebook Page: https://www.facebook.com/JoeMcCormackEducationalExpert

*****

*****

Joe’s Jotter: Performing Well in Difficult Subjects (Case Study – Maths)

As you settle into the new year, teachers and parents totally understand that even though you are making great strides, you still have plenty of fears. From speaking with students over the years, I find it’s not the full set of exams that cause concern, it is usually only one or two subjects. Naturally everyone has their own talents and subjects they prefer. Personally, I was better at the Sciences than the languages, but I persevered and got the grades I wanted in the languages I chose.

Sometimes subjects you are not looking forward to are the ones that have you on guard and you end up doing better in; A paper on the day can go well in an exam you were dreading. I regularly hear welcome surprise coming from students on results day, with comments such as “I didn’t expect that result in xxxxx”. The moral of the story here is that too much concern about a subject could end in false worry and be draining you of energy; energy you need for revising all subjects and getting your head space right.

Preparing for one of your less favoured subjects is a blatant case of having to ‘get on with it’. Of course, it is easier to revise and work on subjects you enjoy and are good at, but you must not ignore the others. Studying and preparing the ‘frog subjects’ is probably the biggest challenge you will face in school. You must prioritise these subjects on your weekly ‘Lifestyle Study Timetable’. I will detail how to setup this timetable in a later blog feature. Author and reconstructive surgeon, Jack Penn, once said:

“One of the secrets in life is making steppingstones out of stumbling blocks”.

Building Confidence in Maths

Maths is one of those subjects that many students find difficult. To me Maths is about grafting to understand the basics, building your confidence, and not being prepared to give up easy. Always start by attempting the easier topic questions (usually the part a’s and b’s) and subsequently graduating to the part c’s and d’s. You should check your work as you go against a good quality solutions book and thus be constantly ‘learning by doing’. Here are some of my top tips to improve your performance in Maths (and its exam) at any level.

Joe’s Top Tips for Success in Maths

  1. Put formulas, explanation of words and keynotes into a little pocket notebook.
  2. Practice as many past exam questions as you can and check your answers against a fully developed and explained solutions book.
  3. Challenge yourself to try and come up with a second method of doing questions.
  4. Try to approach each question from different angles. Always write down something. Do not be afraid of making a mistake.
  5. Draw a diagram (if possible) and label it to simplify a question.
  6. Be familiar with what is and what is not in your log tables.
  7. When studying, exhaust all attempts to answer an exam question before referring to your solutions book. Do not give up easily.
  8. Read each question in Maths carefully underlining the key words and phrases.
  9. At all levels, if you feel overwhelmed by the length and difficulty of the course – start with basic Algebra
  10. Find yourself a study buddy to share questions and resources with. Discuss problems with each other and encourage.
  11. Use various Internet sites as a companion to improve your Maths skills.
  12. Consult your teacher about problems with topics or specific Maths questions during and after class.
  13. Start by attempting basic questions for each Maths topic, building up to a full exam question. Answer the exact question being asked.
  14. The word FAIL in Maths for me means First Attempt In Learning
  15. Do not be afraid to explain a solution to a question with words if you cannot do so with numbers and symbols.
  16. Spend five to ten minutes daily going over what you have learned in class that day.
  17. Every time you write down a formula, draw a box around it to help you remember it. Check if this formula is in your log tables. If not, you need to memorise it.
  18. Anything that you type into your calculator (related to a question) must be written on your answer book/copy also.
  19. Have all resources present when doing Maths questions i.e. Full Maths set, pencil, calculator, and log tables.
  20. 3rd and 6th Years, practice as many previous exam questions as you possibly can.
  21. Rewrite sample questions given in your textbook to get an understanding of the basics.
  22. It is ok to look at a solution to a question if you have tried your best to solve it alone. Use the answer to figure out the exact method for the question. Re-do it without help.
  23. Work with groups of friends on harder Maths questions. Bounce ideas off each other in order to understand and learn from their thinking.
  24. Always write out every single step of your answer. This will be easy to look back, revise and follow later.
  25. Talk positive about subjects you find difficult. Don’t throw away your shot at success by talking your way into failure.

In next week’s Joe’s Jotter, I will advise 2nd and 3rd year students on how to restart their revision routine. Don’t miss it. To view last week’s feature article on ‘How to Efficiently Review your Exam Scripts’, click here. Get in touch if I can help you in any way. Joe.

‘Sail on the Seas of ambition and land on the shore of success.’

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****
Photo:@ZhangChaosheng

Joe’s Jotter: Your Guide to CAO Options 2022

 

The results of the State Examinations Commission (SEC) jury are now in as we await round one of CAO offers on Thursday September 8th at 2pm. Successful students will be sent an e-mail from the CAO with round one offer(s) from 1.30pm onwards on Thursday. Students who do not receive an offer will get an e-mail from the CAO with their ‘Statement of Application Record’.  All students should again check that all details on this e-mail are accurate to ensure the CAO has not made an administrative error.

Over the next few days, it is sensible not to overly predict what will happen with your CAO application. Predicting points for courses can be a futile exercise, as points on a given year are determined by demand from students for a course, combined with the number of places on it. Unfortunately, there is no magic formula for predicting what can happen.

Accepting a Place

On Thursday, you may get two possible offers; one from your level 6/7 list and one from you level 8 list, assuming you have filled in both. Level 6 courses are ones offering a two-year higher certificate, which are found mostly at the Institutes of Technology. Level 7 consists of three-year ordinary level degree courses, while level 8 are honours degree courses. You may be offered a third level place from both lists; however, you can only accept one. You have until 3pm on Wednesday September 14th to accept your place.

Once you accept a place on a course from your list, you cannot be offered a place on a potential course below it (on the same list) in future rounds. You can however be offered a place on a course above it (on the same list), irrespective of whether you accepted your initial offer or not. You can always move up on your listings, but never down.  Note that if you do not accept an offer and no subsequent offer is made to you, that original offer will be distributed to another applicant in the next round.

If you are offered a place on any course, I would advise you to do some serious research on its content to ensure it is suitable one for you. You can do this on Qualifax or the specific college website. Do not accept a course that you don’t really want to do, as you may end up dropping out and possibly paying full fees (€3,000 approx.) the following year. I feel that it is important to be somewhat passionate and have a degree of curiosity about a course and subject matter in order to study and research it for three or four years.

Remember that the level 6/7 route is also a viable option for students. In many cases, you can subsequently progress to complete an ‘add on year’ to reach your level 8 degree target. This course transfer process is known as ‘Advanced entry’. If you accept a level 6/7 course, you should then think about a potential pathway to maximise your qualifications later. A phone call to the third level college may be worthwhile to get more Information on this. If you are in doubt about anything CAO related over the next few weeks, you can contact them through the correspondence section of their website.

Deferring a Place

If you wish to defer the place you’ve been offered, contact the third level college directly (not the CAO office). They will ask you to confirm your deferral by e-mail. The college will subsequently send you an e-mail confirmation of this status, which you should retain.

In order to take your place on this course the following year, you should re-apply to the CAO and simply enter that one course on your CAO. You should not enter other courses unless you have changed your mind about accepting the one you have deferred.

Available Places

The available places facility of the CAO website will re-open on Friday September 9th at 12pm. These courses can be applied for by any student. Applicants must meet the normal minimum entry requirements for a given course. Previously published points in earlier rounds should not be taken as an indication of the points required for entry to an available places course. The role of the available places facility is to advertise new courses that have been launched since the CAO deadline. They also advertise courses where all places have not been filled on them i.e. demand wasn’t as high as expected. The available places application procedure is similar to the ‘Change of Mind’ one. Available places courses are added daily on the CAO website, so a regular check in here is recommended.

Available places, although limited, may be a saving option for those who didn’t get their desired course and aren’t sure about accepting another offer they don’t really want. Again, my advice here is to research the course really well. The UK’s version of available places is called ‘clearing’. This is also worth a look if you are willing to travel and have your heart set on something. When I was doing my exams in the 1990s, there was really only one way into courses and by inference, careers. Now, there are so many routes and pathways you can investigate. No matter how bad things are, ‘You always have options’.

Script Reviews and Appeals

If you do miss out on the course you had your heart set on, you should seriously consider reviewing your scripts with the possibility of an appeal (completed through a shorter timeline from now on) later. Under the new system this year, upgrades after rechecks will not see students lose out on college places which they have achieved the required points for (unless they are unlucky enough to lose out through ‘random selection’, which can happen at any stage of the process). Some third level institutions will allow you to complete a ‘Second chance’ Maths exam to reach a specific grade requirement and therefore be accepted on a course you have enough points for.

Details of how you can review your exam scripts and the appeals process has now been released. I will publish advice and full analysis around this in my next ‘Joe’s Jotter’ feature article on this Tuesday 6th September at 11am.

Apprenticeships and PLC Courses

If a CAO offer doesn’t come your way, don’t lose hope. Apprenticeships and PLC courses are also real options for you. Full Information about these options is available on the Careers Portal website. Apprenticeships were traditionally based around the crafts, but many new ones have emerged (almost fifty in total) including in areas such as Accounting, Commi Chef, ICT, and Insurance etc.

While Ireland now needs more graduates for the health, teaching, and IT sectors, it also needs those with the skills acquired through the various apprenticeships. For every eight students attending higher education, only one of these will be in an apprenticeship. I think the minister needs to continue to work on re-addressing this balance through consistent encouragement, promotion, and expansion of this sector.

PLC’s courses can be used as a springboard to a certificate, diploma or even a degree course. Personally, I find the courses section of the Careers Portal website brilliant for researching these courses and this site will also show you a route to move from your chosen PLC course into higher courses at third level later. This allows you to map out your future pathway. It is worth noting that the minimum entry requirements on PLC courses is usually lower than third level ones. Once you get your foot on the first step of the ladder, it is a lot easier to keep climbing. Stay positive. What’s for you won’t pass you by.

Keep an eye on my Facebook page (link below) for more Information on the CAO and college offer process. To view last week’s feature article on ‘Navigating Secondary School as a Special Educational Needs (SEN) Student’. click here. Joe

‘Put you at the centre of decisions for the next while. Look after you.’

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

Joe’s Facebook Page: https://www.facebook.com/JoeMcCormackEducationalExpert

*****

*****

 

Joe’s Jotter: Useful Insights for Parents on…Secondary School Maths

 

I think it may be interesting for both students and parents to consider the following observations I have become aware of in Maths over the last number of years. Maths is a very emotive subject, and everyone has their own way of understanding and practicing it. This presents its own set of difficulties. The below insights and observations should help you as a parent to reach out and help your child with Maths in a more positive way. Read on…

The Second Year Maths Dip

Firstly, in general, I have noticed that some of my students (and those of my colleagues) experience a slight dip in performance in Maths during their second year in secondary school. This is partly due to workload and the fact that the first-year common course is quite basic. This dip for girls is not as pronounced as for boys. There is also a drop off in fifth year, but it isn’t as extreme as the second year one. If your child is heading into second year, you need to be aware that this could be the case for them. I believe that working diligently on their algebra, fractions, and general numeracy (external to the calculator) are the key elements to overcoming barriers. These topics are the three main pillars of Junior Cycle Maths and underpin and are linked to every other topic on the course.

We all need to keep in mind that online learning has not suited some students and that they have missed out on that key face-to-face contact with teachers, especially in Maths. As a parent, it is important that you encourage positivity around this subject and remind them that every student in the country is in the same boat. From a personal point of view, I noticed that last year’s Junior Cycle class did struggle (more than usual) with a variety of topics, but it did eventually come together for them in the end. I expect that the incoming third year cohort will take a while to settle back (through no fault of their own) this year. In fairness, it may take many of them until after Christmas before they settle down into a pattern of revision and work across all subjects. It is understandable that they may not hit the ground running this year and we all need to be cognisant of this.

Girls – Go for it!

From the students I have taught since the Project Maths syllabus was introduced in 2008, I have noticed another trend in my classes. I have spotted that female students are less likely to take risks when attempting past exam questions. The new phrasing of questions on Maths papers suit boys better, as they are less conscious of what they are writing down and are less afraid of being wrong. In my opinion, it is important for girls to express their opinions freely and openly and we, as teachers, need to help them develop this skill. I think it is important for all students not to get unduly perturbed if they cannot get a certain part of a question out perfectly. In Maths now, it is more important to go onto another question (within the allotted time), instead of looking to complete every single question part absolutely perfect.  I feel that Churchill’s (not the dog) quote is quite apt for our modern day Maths syllabus.

“Perfection is the enemy of Progress”.

Winston Churchill (Former Prime Minister of the UK)

One does not really have time for 100% perfection on a Maths paper as they tend to be ‘question packed’, and unlike other subjects, there isn’t time for admiring your work. Students should apply this principle across the board to all their Maths tests in 2022/23.

The New Practical Style Questions

Thirdly, girls especially need to practice more exam questions involving engineering and mechanical parts. My reasoning for this is that, in general, most of the student cohort studying Engineering, Construction studies and Design/Communication Graphics (DCG) at Leaving Certificate are boys, and girls are not being exposed to this specific type of learning. With more everyday life practical questions being the order of the day in Maths, it is inevitable that more technical and mechanical questions will appear in years to come, and girls and parents of girls need to be aware of this. This trend will slowly become more pronounced if the Governments’ promotion and focus on the Science, Technology, Engineering and Maths (STEM) subjects continues and I expect it will.

Always Follow Your Passion

Lastly, in a survey conducted a few years ago, twenty-nine percent of Irish parents surveyed thought that technology subjects weren’t suitable for girls and fifty-three percent of girls in secondary school dropped STEM subjects due to pressure from their parents. These statistics may be contributing to the lack of representation of females working in STEM. Students and parents need to be aware of the excellent third level courses and future career opportunities available in these areas for both genders. Students need to be encouraged to explore all avenues of interest and follow their passions. Pursuing a spinoff of the subjects that a student enjoys each day in school wont set them too far wrong. Joe

**You can achieve more than you actually expect.**

 

To view last weeks feature article on ‘Transitioning into 1st Year or back to school’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

 

*****

*****

 

Joe’s Jotter: Anticipating Better Revision Methods in 2022/23

 

The key to doing well in exams is continually trying to improve the quality of your preparation. An hour of good quality revision is equivalent to three hours wastefulness. Was your revision productive and fruitful in the school year just gone? Here are some reflections to help you assess this and also to contemplate what changes you can make to be more effective in the upcoming academic year:

  1. Assess your study area: The ideal study space is somewhere where external distractions are kept to a minimum and has an organisation about it. It should be a quiet area where you can concentrate, allow yourself to think and effectively listen to those notes on the page.
  2. Sort out a study routine: You should plan revision for the same time each day, especially during the school week. On these days, I would recommend that you commence study thirty minutes after completing your homework. This will eventually become routine as your mind and body adjusts. Our bodies like routine, as they learn to anticipate events better and become more familiar with them.
  3. Organise your materials/notes: Have all the materials you need to hand for revision. Having to search for materials will lead to frustration. Develop a system that works for you. There is no excuse for not having your notes organised and close at hand. A suggested system is to have a large ring binder for each subject. In each binder, divide off each topic for the subject using card dividers. Subsequently, put the content for each sub-topic into plastic poly pockets between these card dividers. This is just one suggested method. It is never too late to get yourself organised. It is never too late to start studying.
  4. List out the topics: For each subject, list out the topics that need to be revised. Show the list to your teacher to make sure you haven’t excluded anything. You need to be realistic in not expecting to cover them all over a short period; it will take time. Make a second list of the sub-topics inside each main topic. The full listing for each subject should fit onto an A3 landscape page, giving you a quick reference summary of a subject at a glance. Each time you complete and understand a sub-topic, tick it off. I always find that ticking off lists and seeing them shrink gives a great sense of satisfaction.
  5. Mirror exam hall challenges: I would recommend during the days leading up to the first exam that you get up at eight-fifteen a.m., have your breakfast and complete a full past exam paper from nine-thirty to twelve similar to the time the real exam will actually be taking place. This prepares the mind, body and even the arm for the process of rising, eating, and focusing on the task ahead. This serves to mirror upcoming challenges you are about to face and is a little known and under used technique.
  6. Use clever ways to remember content: You need to use your imagination when revising – this includes constructing summaries and lists in different parts of your house to help you remember them. Over my educational career, I based a lot of my preparation around summarising notes. Set yourself a target to summarise a full chapter onto one A4 page and then summarise this page into bullet points using post-its or flash cards. You will then have a shortened summary (written in a language you understand) of a topic, instead of fifteen pages of text in a textbook to trawl over. It’s so simple and it works. Effective study is based on working smarter not harder or longer.
  7. Set short term goals: Setting goals will help you monitor your revision and will give you something to work towards. For example, if you under perform in a test, set a mini goal for your next test to improve by a certain percentage. In your school journal, write down all your goals and check them off as you complete them – call it an ‘Exam bucket list’. If we do not set some goals in our lives, we tend to just plod along aimlessly in more hope than expectation.
  8. Eat your frog: We all put off things we dislike, like going to the dentist for example. Start by studying the subject or topic which isn’t your favourite. Look at the subjects you are struggling with, and then consider the topics within these subjects that you need to tackle. Do not avoid a subject if you don’t enjoy it, as it will eventually catch up with you. Similarly, don’t invest all your time and energy into subjects and content that you enjoy. You need to find a balance that works here.
  9. Attend school and listen: Make sure to attend school every day and be fully present in class, paying attention and taking notes as best you can. Remember that your teachers have been through exams with hundreds (maybe thousands) of students before you, so they are well worth listening to, especially during the last six to eight weeks of term time.
  10. Live in the present: Writer T.S. Elliot once said: “Time past and time future are all contained in time present”. Try not to give yourself a hard time about the lack of revision done in ‘time past’. Conversely, it is also not a good idea to be looking too far ahead into the future as this can cause anxiety and tension about your upcoming tasks and workload. Plan your revision strategy week-by-week and review it as you go along. Joe

**Don’t ever sell yourself short – you are worth more than gold.**

 

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books are available below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Joe’s Jotter: Was your Revision Good Quality this Year?

 

Students,

Did you struggle to find the best ways to revise this year? Did you feel like your classmates were always a step ahead of you in class? Do you just read your notes aimlessly hoping you will remember some of it later? What areas of revision did you fall down on this year?

Each student learns differently. Each student needs to trial different methods until they find the ones that suit them best. Learning is most constructive when a student approaches a topic from different angles to get a better handle on it. The more ways you can approach learning, as opposed to just ‘learning off’ material, the more successful you will be.

Successful students are those who can think critically about the content presented to them. To do this, you as a student should carefully read the information presented by the author, understand it as best you can, and then begin to question and really think about it. Being critical of text doesn’t just mean being negative; it also means being knowledgeable and really assessing the quality of the information. My ACE tip here is to use your imagination, challenge the question being asked and never be afraid to offer your own personal opinion on topics. State Examiners love personal opinions, as it shows you can think independently.

In 2013, The Open University (UK) developed a ‘stairway’ model to help students understand the skills of critical thinking. Students can apply these steps to a specific topic in order to understand it better. I think this is an excellent way of actively revising, as you are reflecting on all aspects of the information presented. This method would be particularly useful in subjects like English, Economics, History, Geography and Business.  The steps are as follows:

  • Process: take in the information (i.e. in what you have read, heard, seen, or done).
  • Understand: comprehend the key points, assumptions and arguments presented.
  • Analyse: examine how these key components link together.
  • Compare: explore the similarities and differences in each idea you are reading about.
  • Synthesise: bring together different sources of information making logical connections between them.
  • Evaluate: assess the worth of an idea in terms of its relevance to your needs.
  • Apply: transfer the understanding gained and use in response to questions, assignments, and projects.
  • Justify: use critical thinking to develop arguments, draw conclusions, and identify implications.

In today’s more modern Junior and Leaving Certificate, you need to be able to apply knowledge to a topic. Learning off too much information is a common mistake made by students and is not recommended. This is the opposite of applying knowledge. There is more of an emphasis now on applying everyday life experiences to questions asked. Besides, if you were to feel nerves, you are less likely to remember a lengthy essay you have memorised.

Your revision time is better served by preparing summaries, bullet points, post-its, key points, and mind maps. The State exams are now more about identifying important information in a question and discussing its merits, as opposed to emptying the contents of your head onto the answer book. Mix the content you have revised in class with what is going on in your own life. This is something to reflect on as you plan your Autumn revision strategy in each subject.

 

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: Choosing your Course (My CAO Countdown II)

Investigate each Course’s Content

Student’s, in order to rank your courses in a way that suits you best, choose ones you really want to do (not necessarily the ones your friends are doing or ones your parents want you to go into). Choose for you and no one else. When choosing a course, be sure to examine closely the module descriptor associated with it. This tells you the exact layout of the course, how many credits each module has, how the exams are assessed, how many hours you will spend on each module, how the learning will take place and exactly what you will learn about. Investigate the exact modules you will be studying for each potential course. This is my most important piece of advice. You don’t want to be heading into the winter thinking ‘I am not interested at all in any of this stuff’ #nightmare.

The CAO is not the Only Show in Town

If you have not applied to the CAO or do not receive a CAO offer, there are other options. You should go on the SOLAS website (solas.ie) now to investigate further education alternatives. One could be: Further learning with your local Education and Training Board (ETB); for example, Louth & Meath Education and Training Board (LMETB). Many ETB’s offer Post Leaving Cert (PLC) courses which will give you a Level 5 or Level 6 qualification, just below what you would come out with via the CAO system. These courses are one or two years in duration and often involve practical work experience with companies. The fees for these courses tend to be lower than your standard CAO courses and grants are available in many cases also. You can progress thereafter to a level 6, 7 or 8 course.

PLC courses allow you to see if an area of study or work may suit you. Some courses in third level set aside a quota of PLC (QQI) students to fill course places each year. If you achieve the required results in your chosen PLC course, a third level institution may accept you onto one of their courses. You should verify this will be the case beforehand by ringing up the college and asking them about accessing a specific course via the PLC route. You can find the full list of PLC courses on www.fetchcourses.ie or contact the Further Education College directly. Examples of PLC courses that students regularly progress further from are Pre-Nursing, and ICT. For each CAO course, you will also be able to view (on cao.ie) what PLC requirements will get you a place on a given CAO course. This is well worth researching over the next few weeks to cover your bases.

To enhance your skills in a certain area, you can go also down the apprenticeship training route by checking out www.apprenticeship.ie. The apprenticeship scheme has been recently expanded to include employers and jobs in many fields. Many of these companies involved would be delighted to take you on and help you grow and learn on the job. Apprenticeships were traditionally only for crafts persons like carpenters, electrician, plumbers etc. While these still exist, there are now new ones in ICT, Accountancy, Engineering, Insurance, Catering and Financial technology (Fintech) etc.

A traineeship is also another option which can be considered. A traineeship is based around making you more employable by improving your skills. These tend to be a short duration courses (12-18 months) and are mostly run by the ETBs. Many apprenticeships and Traineeships are ‘Earn as you learn’ based and therefore you can attain your qualifications and get a few quid to live and pay for accommodation also.

If you feel right now that the ‘direct route’ third level journey isn’t for you, have a good look at the above alternatives over the next few weeks. It is imperative to have a little plan in the background, should you not get what you want (See below). You may not even need to use it, but it will certainly give you comfort having it there on the back burner.

You must have a Plan B, C and D

I have spoken to hundreds of students over the years who had their heart set on one course and when they didn’t make it, they had no fall back plan. Your 2nd, 3rd, 4th, and 5th and even 6th choice on your CAO form are really important. You would need to be content enough to accept these should it come to that. I cannot emphasise enough about the importance of checking out the module content of each course you choose. Genuinely ask yourself: ‘Would I do this course’?. This then sets the platform for your Plan B, C and D. Have a look at Part 1 of ‘My CAO Countdown’ advisory for specific questions you should ask yourself when deciding on your courses. If there are a limited amount of courses you really want above all others, contact that institution, and ask them ‘Is there any other way to get into the course by studying something else first, as opposed to the direct points route?’. This could be very useful Information later should things not go to plan.

Remember, if there is a subject matter you really enjoy or a course you feel you would be really good at, you may need to be open to travelling or living in another part of Ireland. Do not rule out the possibility of the UK (UCAS), the Netherlands, Poland, Italy or other European (UNICAS) countries. Fees and demand have dropped for some courses in Europe that are very popular here. Usually, your results do not need to be as high to study courses in the UK and Europe, compared to Ireland. Do that bit of exploration here if your heart is dead set on something. This is an alternative Plan B to consider. Just like in Ireland, places in certain courses may become available when not filled in earlier rounds.

Six Final Key Points of Note

  1. Keep an eye on the CAO ‘alert list’ for new courses emerging in various colleges on www.cao.ie. Courses are added here on a continuous basis in the ‘Applicant Resources’ section of the ‘Course’ Tab on CAO.ie. You can add these into your CAO listing before July 1st (5pm). These courses are not in your CAO handbook (hardcopy). They may also come in at lower points, as many students may not be aware they even exist and will not have them on their listing. As this article goes to press, twenty four third level institutions have courses on the ‘alert list’. Subsequently, if there is a lower than expected application or take up of certain courses, these may be added to the ‘alert list’ after CAO round one.
  2. If you have applied for the HEAR or DARE scheme, you will find out if you are successful or not at the end of June. You will also be able to appeal any decision made from these schemes from early July. Information on HEAR and DARE is on www.accesscollege.ie.
  3. For those of you who have applied for Medicine in various Universities, the HPAT results are due out around the end of June.
  4. The Leaving Cert results are due out the end of August, with the first round of CAO offers due to be issued a few days later. Don’t plan a ‘Leaving Cert holiday’ then!
  5. Students will be able to view their exam scripts (which I would recommend) soon after the results have been released. I will publish further guidance on this at the end of August, so keep an eye out for that. Subsequently, students will be able to appeal their grade in each subject (as required) by filling in a form provided by their school.
  6. I would recommend you sign up to the excellent https://careersnews.ie/ to keep up to date with announcements, CAO developments and news from third level institutions. They send a daily update to your inbox, which is very useful during those few weeks.

I will circulate another advisory article just before CAO Round 1 results are published in late August/early September.

To read Part 1 of this CAO advisory article, click here.

In the meantime, wishing you good luck with your upcoming choices. Joe

 

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2023) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Tuition Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Joe’s Jotter: Shorthand Best Practice for LC Maths Paper 1

 

General Guidance for Leaving Cert Higher Maths Paper 1

  • Leaving Cert Paper 1 in Maths is on Friday 10th June so you may have two/three papers done already (Eng/Engin/Home Ec).. i.e. The bulk of the prep for Maths Paper 1 needs to be done from the week before as a result of this.
  • Paper 2 material can come up on Paper 1 and vice versa – i.e. 2015/2017 Trig Functions appeared. Financial Maths appeared on P2 in 2018 even though it’s more of a P1 topic. A&V can appear on both
  • There is no specific layout to the paper year to year – Any topic can appear anywhere.
  • Topics tend to mix together into one question. So….I wouldn’t leave any topics out
    • Example Prob/Stats and Geom/Trig
  • I wouldn’t do extra questions on the paper as you will run out of time
  • Night before exam – Check…Maths set, pencils, two alarms, your usual calculator etc
  • Only answer the question that’s being asked. Read it three times.
  • Often the answer can be hidden somewhere inside the Information given in question
  • Do not scribble or tippex out any writing and make it unreadable. Draw an X through it and make sure it is readable – this could be worth marks and will be corrected.
  • Always give your answer in the form requested in the question e.g. surd form
  • Always use the correct units.. e.g. m2 for the area of a rectangular field etc
  • Only round off your answer at the very end of the sum. Retain as much of the decimal as you can through the question to ensure accuracy and full marks.
  • If you don’t give your answer in the correct form, round off decimal places or leave out the units, you will more than likely lose one marks
  • Exams are scanned in and are then corrected by a person (examiner)
  • When revising, break the course into sections and break each section into sub-topics in order to make it more manageable to tackle. Practice loads of past exam questions.

Sample Marking Scheme Scale for LC Maths

This is an example of how the paper is marked and shows the opportunities to pick up marks depending on how many marks is allocated to each question.

LC Maths Exam Paper Layout [Red Text – 2022 only] – Paper 1 and 2

The layout is normally 6 short questions (150 marks) and 3 or 4 long questions (150 marks). This is not the layout in 2022.

  • In 2022, we have Section A: 6 short questions of thirty marks (Do 4 of these).
  • Section B: These are the more practical real life scenario Questions..4 long questions on the paper (Do 2 of these) (fifty marks each). [Both Higher and Ordinary level]
  • Even though there is a choice on both papers, I would NOT attempt an extra question in either Section A or Section B
  • My proposed Timing for 2022: (Apply the 20:30 rule for Exams 2022)
    • 10 mins to read paper and carefully choose questions at the start
    • Short Question (4) (30 marks) – Max of 20 minutes each
    • Long Questions (2) (50 marks) – Max of 30 minutes each
  • Set out a time budget plan before your exam and stick to it.

How do attempt marks (Low Partial Credit) work in Maths?

You can pick up 2/5 and 4 or 5 out of 10 for just getting one step in the right direction. This is called Low Partial Credit

  • This could just be writing down line one

OR

Writing down the correct formula and subbing a relevant value into it [‘Relevant substitution’]

OR

Bringing down the last answer and doing something sensible with it

  • Write down everything – a formula from your Log tables, a step, a piece of English, a diagram, a table anything at all. If you type something into your Calculator, write it down. The examiner will be desperate to give you 2/5 or 3/10 or 6/20 or whatever Low partial credit is for each part. They will take no pleasure at all in giving you zero.
  • You may use a different way to solve a question (with success) that’s not written on the examiners marking scheme – this is full marks.
  • If you make more than one attempt on a question, make sure to leave both visible on the paper.. Never scribble out anything. Never write a ‘?’ on your paper.
  • Draw a single line through a method you feel is incorrect, it will be checked and may be allocated marks

What if I need an answer from the previous part to answer the next part?

There are two possible scenarios’ here. If you got an answer you think may be wrong and need to use it further down the question, carry it down anyway. If you didn’t get an answer at all and need one further down, explain in a note to the examiner that you are going to guess the answer needed and use it. You might word it something like:

“I didn’t get a value for x in part a so I’m going to assume that x=10 here.”

Do this and continue on…You can still get high marks for this question

What do you do if you mind goes blank?

  1. Fill in something you have done in class related to the question being asked.
  2. Use all the Information given in the question in some way.
  3. Use a formula you think that may be relevant to the question.
  4. Any correct element to a question will give you low partial credit.

What are the core skills I cannot live without for LC Higher Maths?

  • Solving a linear and quadratic equation
  • Solve a simultaneous equation (Basic JC Method or by substitution)
  • Subbing into a formula
  • Being familiar with Log Table Formulas (See below)

Why are Log Tables so important..?

Each student will have a set of log tables on their desk when they go into the exam hall. You will not be allowed to bring in your own set of log tables. Know whats in your log tables but more importantly whats not in your log tables. Be familiar with roughly where each formula is in the tables, so you are not in a mild tizzy trying to find one. Learn off the formula’s not in your Log tables. Enter these into a hardback notebook now and start memorising them. Guidance and advice for Maths Paper 2 will follow very soon. Stay tuned to Joe’s Jotter Blog for updates. Joe

To view last week’s feature article on ‘The ACE Exam Day Quick Ref Guide’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Joe’s Jotter: The ACE Guide to Exam Preparation from Home (Parental Support and Final Thoughts)

 

 Parental Support for Students at Home

Parents, your new role is one of increasing influence, given that your child is now at home revising for their exams all the time. Strangely enough, students actually like the structure of school and seeing their friends there every day. Being at home is not something they are used to and may require some time to bed down into a pattern of revision and rest. You are not a teacher, so it’s important to remember that if you are doing your best, you are doing enough. Here are my twenty recommendations to help you be the best you can for your child currently revising in the home environment:

  1. Help them establish a revision routine in a quiet, clean, and comfortable area.
  2. Plan your day a little around them, so you can be there to support their efforts.
  3. Provide the quiet support: school materials , healthy dinners & encouragement.
  4. Be realistic about the amount of revision they may do each day.
  5. Encourage family time including walks & drives to keep communication open.
  6. Show interest by requesting that they discuss or come and teach topics to you.
  7. Be calm, tolerant, and patient with their moods as best you can.
  8. Try praise their efforts (no matter how small) even if you feel they don’t deserve it.
  9. Remind them to communicate with their teachers and friends if they have queries.
  10. If they are disorganised or scatty, sit down & brainstorm to help them get organised.
  11. Empower them to help you around the house, i.e. Cooking/Cleaning/Gardening etc
  12. Trust them to take responsibility for their own learning.
  13. Encourage them to talk to you if they feel anxious about anything.
  14. Endeavour to maintain balance. Nothing is ever as bad or as good as it seems.
  15. Don’t be afraid to get stuck in academically. Impart your knowledge to them.
  16. Examine them on subjects, questions, and texts they may need help with.
  17. Try not to pass any anxiety you have on to them; Just let them breathe.
  18. Try to cook substantial nutritious meals, so that they aren’t constantly ‘grazing’.
  19. Intervene in all cases if you feel they are overwhelmed or struggling mentally.
  20. Parent

ACE’ing Your Prep at Home – Some Final Thoughts

Students,

Your best bet now is to make the most of this challenge set down for you. You now have more freedom than ever to create your own study blocks and breaks; effectively you can control the pace of your learning. If your revision blocks are short (i.e. thirty minutes), you are less likely to daydream and waste time in them. You can now allocate time to various subjects and tasks unlike before; embrace it. It is an opportunity to take responsibility for your own learning and with this you are preparing yourself for third level education or whatever route you choose after school.

Create a good solid routine, especially to start the day. Having a good morning can often be the key to a productive day. Keep your social media stint to a limited time in the morning, otherwise it may become an endless scroll, with well laid out plans being scuppered. Every morning, commence your Lifestyle (Study) Timetable or the list of ten to twelve tasks you have set yourself from the night before. Be sure to make everyone in the house aware of your revision times, so that they can try to be as quiet as possible during these periods.

Be Honest and Realistic with Yourself

Keeping your timetable or task list simple and realistic will allow you to get through the day’s work and make it easier to get started also. Maybe setup four tasks in the morning, three after lunch and three in the evening if you find creating a timetable for the full day too daunting. Sample tasks may include revising a short chapter in your Maths book and completing ten test questions based on it, or note taking on a certain period in History, or summarising one aspect of your Biology or Home Economics course. How do you eat an elephant? Answer: Break it up into small pieces and eat it bit by bit. Treat your daily task list or timetable the same.

Be honest with yourself (as best you can) about how you are going to use the Internet, social media, and phone during revision times. The best way to control this is to set out the exact times you will use devices and where they will be located during revision blocks. If you struggle to separate yourself from your phone, request the help of your parents to find a solution. If you find your eyes are getting sore from ‘screen time’, whether that be on a PC or phone, this is your body telling you to give it a break and it is wise to listen to the voice within in these cases. Along with reasonable tech time, ensure you enjoy and inbuild fun, phone calls to friends, exercise, music, and relaxation into each day’s revision timetable. These types of breaks are essential for productivity; but ensure to keep an eye on time away, as short breaks can easily turn into longer wasteful ones.

Strength Based Learning

As above, vary the different ways you study and indeed your revision location also. Keep your study area clean and organised in order to be more productive. Find out which ways of learning that work for you and repeat them. If you are finding a specific revision method worthless, come at it from a different angle. Manage your revision effectively by using the best methods suitable to you and appropriate to that subject. Always play to your strengths!

Winston Churchill once said that ‘Perfection is the enemy of progress’. In subjects we find difficult, we often learn more by making mistakes as opposed to getting everything perfectly right at the beginning. If you always think your notes and revision blocks aren’t of a high enough standard, you will soon loose heart by your perceived lack of excellence. Failure and Imperfection should be viewed as a positive, as it encourages us to try harder and continually better ourselves. This was one of my keys to success. I always wanted to improve and ultimately be the best at whatever I did. You will never actually reach perfection, so be contented with progress and don’t be too hard on yourself.

Write Down Your Goals

Finally, write down both your short and long term goals and re-read and update them regularly to remind yourself why you are putting in such an effort right now. Goals should be used to motivate and drive you to achieve great things. Focus always on the work you have completed, not what you haven’t done. The quicker you settle down into a routine and discover study techniques that work for you, the better you will feel. Right now, you are effectively searching for the best possible home routine that facilitates an increased accumulation of knowledge. Don’t be afraid to try new learning methods as part of this new phase. These might give you the edge on topics you have struggled to understand so far.

I wish you luck and good health going forward and feel free to contact me through the channels below if I can help you in any way. Joe

To view last week’s feature article on the ‘Importance of Nutrition around exam time’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: Nifty Tricks to Remember Maths Formulas

 

Maths Students,

Knowing how to use formulas correctly is still as important as it was back in the 80’s and 90’s when you parents were young. Formulas help us understand questions better and assist us in converting the theoretical wording of a question into something useable. Often subbing in any correct value into the appropriate formula will yield low partial credit in an exam e.g. 4/10.

Formulas also enhance our understanding of practical scenarios. For example, the Quadratic Formula is used to find the location and value of various unknowns, trigonometric formulas are used to find distances and heights of real world objects in architecture and aviation, and Statistics and Probability formulas are used in insurance and mortgage calculations. A student’s problem is that not all Formulas they need to be familiar with are present in the Log Tables provided. So, what is the best way to remember the ones that aren’t?

 The Six Best Ways to Make Maths Formulas Stick 

  1. Link the formula to something fun or interesting in your life.

Build a song or a rhyme around a given formula. The sequence of the song or rhyme can be the different parts of the formula. Look up an example on the Internet, or better again invent your own one which will make it easier for you to recall. Examples include: BOMDAS for order of operations and SOH CAH TOA for Trigonometric ratios in a right angled triangle.

  1. Understand each part of the formula.

When you understand a formula and whats its parts are, it is much easier to memorise it. Take time to understand the rules, variables, logic, and symbols in the formulas you use in Maths classes every day. Be very clear on what each letter represents.

  1. Put it on your wall.

Write each formula on its own A4 page and put it up on your bedroom wall to allow it to sink in. This is the best way to memorise formulas, as they will be seeping into your brain without you even knowing it. Wall summaries regularly catch ones eye, forcing the brain to take pictures of them. This is definitely an underused trick in revision and exam preparation. 

  1. Let formula’s sit before learning them.

In my experience, it takes time to learn formula’s; it isn’t like a set of French verbs or physics definitions that you may be able to cram. Every time you use a formula in class, be sure to write it down in your copy. The more times you write it, the easier it will be to remember it later. I would recommend buying a little A5 hardback and note all formulas from the Maths course into it, even the ones that appear in the Log Tables. This hardback is something you can flick through on journeys or even while keeping an eye on a bit of TV. It’s all learning!

  1. Take them to bed with you.

At the end of each day, have a quick glance at any new formulas you learned that day. Check how well you memorised them by trying to write them down without looking. I would estimate that knowing which formula to use where in Maths is worth at least 25% in exams.

  1. Most Formulas are in your Log Tables.

It is crucial to learn the formulas that are not in your log tables and be familiar with the ones that are in there. Try and get used to using the index on Page 1 of the Log tables in order to access the formulas you need quickly. The main formulas we use in the log tables are on Pages 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 22, 25, 30, 31, 34 and 36. Good luck. Joe.

 

To view last week’s feature article on ‘Guiding Your Child Through Exams 2022’, click here.

 

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Joe’s Jotter: Guiding your Child Through Exams 2022

Your Role as a Parent as Exams Approach

One of your main roles, as parents, around exam time is to create a good atmosphere at home. It will be important to remain calm and try not to transfer additional pressure on to your child in the lead up. This applies whether they are sitting a state exam or an end of year summer test. I would be wary of placing any extra emphasis on them achieving certain grades or points. Allowing them to talk without judgment, actively listening to them and keeping career options and results in perspective are other ways that you can be there for them at this time. Be sure to check that they have a plan ‘B’ in place for further education/training, as this will help greatly to regulate their stress levels.

Try not to let uncertainties or worries you had in school, especially any negative vibes you had around exams or certain subjects influence how your child deals with their exam year. I don’t think conversations beginning with “When I was doing the Leaving Cert…” are really that helpful or relevant to their situation now. Similarly, never compare your child’s performance or study ethic to that of their peers or siblings, as this will just add to the stress. Complaining about the unfairness of the exam process is also airing unhelpful negativity. Keep it all on a positive plane and let them breathe. If you have any concerns at all about your child, you should contact their school, as teachers and management are usually more than happy to help. If you meet a roadblock, I would be delighted to help and advise you in some small way; so don’t hesitate to reach out to me.

More than any other time in their life, it is important to help your child manage their feelings, as they may struggle with overwhelming emotions and pressures placed on them by exams. There are lots of great techniques you can show them, like slowing their breathing down or helping them become aware of their feelings. Maybe, look up one or two of these online, so that you can pass on something practical to use during intense situations. Exercise and involvement in activities right up to exam start are brilliant stress reducing techniques and should be strongly encouraged.

Practical Insights to Really Support Your Exam Student

The following are some real and practical insights into how your support can really help your son or daughter be their best around exam time. This advice applies to all types of examinations, not just the Junior and Leaving Certificate.

  • It’s an obvious one to start but ensure that your child is present in the exam hall for each exam. For parents who are working and leaving home early, avoid the ultimate disaster of your child missing an exam. This advice applies on days they have important class tests also. Ensure they are up and dressed before you leave home for work each morning. A small number of students regularly fail to turn up for morning exam papers.
  • Making them a healthy and substantial breakfast will greatly help their focus and concentration all the way to the end of an exam, especially if they have an afternoon paper to sit also.
  • Help them to draw up a check list of daily requirements based on each day’s exams. Make a final check with them each morning, so that your child is fully prepared for the day’s exams. The amount of guidance required will obviously depend on how organised your child is. Writing instruments along with the other requirements such as rulers, erasers, calculators, water, and any non-intrusive nourishment such as sweets, or fruit should be checked off for inclusion.
  • When your child arrives home after their exam, listen to their experience carefully and then move on. After each day’s exams allow them to recount their daily story to you. Do not be tempted to review in detail with them any errors or omissions on the paper. Such a process achieves absolutely nothing, other than to again increase anxiety levels. Simply allow them the time and space to tell their tale and move on to the next challenge (i.e. the subsequent paper) is the best policy.
  • Know the exam schedule. Pin the exam timetable prominently up at home; highlight each exam to be taken. This applies to house exams also. Diary the date and time of each paper your child must take. In the stress of the whole exam period, you need to be continuously aware of whats going on and when. Investigate which days or subjects your child isn’t looking forward to so that you can be there for them in a real and practical way.
  • It can help them greatly if you have a little knowledge of each exam paper or at least show some interest in it. Simple questions such as, “What is up next?”, “Are there any compulsory sections?” or “Are there any predictable questions?” can be asked. The best open question to ask is “How are you feeling about …? “. This will allow them to express themselves more freely if they wish. This also ensures they won’t feel alone and that you really care about how they get on. If they will allow you, work with them on devising a short but efficient revision schedule, as this is something I have noticed that students struggle to do alone. How all students manage their time from now on is key. Wishing you luck, especially if you are a ‘first time exam parent’.

To view last week’s feature article on ‘Why Practicing Past Exam Questions in Maths is Crucial’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

 

Joe’s Jotter: Why Practicing Past Exam Questions in Maths is Crucial

 

Practicing past exam questions is essential if you’re looking to score highly in either Higher or Ordinary level Maths this June. Similar question types come up regularly; but you still need to revise all the topics on your course, as the Maths exam isn’t predictable anymore. Both sections (A and B) at Leaving Cert higher and ordinary levels are important and the correct amount of time must be left for the longer questions in Section B, as they tend to require more thought.

The new Maths syllabus at both Junior and Leaving Certificate level is quite crowded with a lot of material to get through, not to mention trying to link up topics in true Project Maths style. Incidentally ‘Project Maths’ was the name given to the subject ‘Mathematics’ when it was rebranded in 2008. It has now reverted to ‘Maths’ after this bedding in period.

Why Past Exam Questions are Key!

With so much to cover during class time, it is difficult for teachers to expose their students to any substantial level of past exam questions during term time. The reality is that many teachers will only fully complete the course after Easter, through no fault of their own. It is up to each individual student to dust off their book of past exam papers and start by initially attempting the part (a)’s and (b)’s of as many exam questions as they can. Initially focus on topics you have covered yourself in class in order to build up your competence. My advice is to work on the last six or seven years past papers to get a grasp on what comes up in certain topics. If your exam paper book is filling up, re-print the papers in it. These are free to download on the examinations website. Set your stopwatch and test to see can you really do a question against the clock without your notes.

‘Do an exam question a day, and start today’

Doctor Maths, the Poet.

To commence, attempt all past exam questions to the best of your ability with guidance from your textbook and class notes. This allows you an access route into questions you are unable to start. Subsequently, refer to a good solutions book to see how accurately you are progressing. With an unprecedented level of detail, my exam paper solutions (ACE Maths Solution Books) at both Junior and Leaving Certificate levels are an ideal companion to revise Maths effectively for this year’s exams. You should start by practicing and familiarising yourself with the language used on past papers. 5th Years also need to start planning ahead. Most Maths teachers will put past exam questions on a 5th Yr Summer Maths Paper.

Your exam paper focus should always be on practicing previous official state exam questions under time pressure. Replicating exam hall pressure is a brilliant way to hone your skills and really check if you can complete the question asked within the time limit allocated. I would start by taking on a short question or two against the clock, and then a longer question, until eventually you feel confident enough to take on a full paper. Constantly doing questions out from your textbook will never fully prepare you for a full sit down test paper in Maths. This is where a lot of students are going wrong.

 

 Using Past Exam Questions to your Advantage

Knowing how to work with past papers and making the most of them is a skill in itself. Some key preparation tips to keep in mind while tackling past papers are:

  • Start with questions you can do in order to build confidence and reduce anxiety as you commence your revision routine.
  • Solve as many past exam questions as possible from every topic on the course. This will help you understand the type of questions that are asked and also how much work you still need to do to reach your target score in the subject.
  • Estimate how an examiner would have graded your work by comparing your solution against a detailed Maths solution book. Using a solutions book to mark your own questions will allow you to see how your percentages are stacking up.
  • Maintain an error-log on mistakes you keep making. This will help you get to know your weak points and what traps you are regularly are falling into.
  • Everyone has deficiencies in Maths. To overcome these, attempt extra questions from topics you are struggling with.
  • When solving past questions, make a habit of always timing yourself with a stopwatch. This will help you improve speed and manage your timing better during the actual exam. Practice makes perfect. Treat your revision work at home as the training sessions before the actual matches in the exam hall.

Doing an exam question trial at home every week will greatly improve your performance in the final exam. After some time, you will cut out silly errors and feel calmer about tackling a full paper. This process will give you the belief that you can get the awkward question started or tackle the unseen graph or diagram on the day.

  Commence a Strict Diet of Past ‘Exam Questions’ Today

If I was in 6th year, i would move quickly now onto the strict but ultimately rewarding ‘Past Exam Question’ diet. Here are some directions to consider as you trawl through good quality past exam questions and their solutions over the next few months:

  • You need to get practicing multiple real life application questions (Section B)
  • You need to get familiar with marking schemes and how marks are allocated
  • You need to practice exam questions under time pressure
  • Constantly strive to get used to the wording, layout, and style of past questions
  • Get accustomed to how the examiners are phrasing exam questions now
  • Be conscious of the fact that there is extra text and less numbers on the papers now
  • You need to be aware that you could now be asked to ‘explain your answer’
  • Be familiar with justifying your answers using Maths calculations
  • Practice different strategies for starting unseen or unexpected questions
  • Be familiar with the exact meaning of each word that appears on past papers. Joe.

To view last week’s feature article on ‘How to ACE any Maths Exam’, click here.

More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Joe’s Jotter: How to ACE Any Maths Exam

 

No matter how intelligent you are or how well you prepare, if you are not exam smart, you will underachieve in any Maths exam. It is also vital to have a plan in place for the content that can appear on your Maths paper. This involves going in there with your eyes wide open and being tactically aware in case things go a little bit wrong on the day. The following are my ACE tips to effectively deal with a Maths exam paper. These apply to both the Junior and Leaving Certs, as well as being relevant to the summer tests for 1st, 2nd TY, and 5th Years.

Sensible Tips When Dealing with a Maths Exam Paper

  • Units matter. If they are present in your question, they are required in your answer.
  • Do not type anything into the calculator that you have not already written down in your answer book.
  • You can get almost full marks (high partial credit) with just one slip/mistake in your solution. High partial credit could gain you as much as seven or eight marks out of ten.
  • If you make two attempts at a question, they will all be corrected and the highest marks from your efforts will be counted. Don’t be afraid to have a proper go.
  • Marks will be given for any work done on diagrams that have been printed on the paper.
  • Be careful when dealing with minus signs.
  • You must show your full workings out for all questions.
  • Write down every single step until you arrive at the solution.
  • If your answer is ‘off the wall’, it is probably incorrect.
  • If there are many steps required in a solution, continually double check completed steps for accuracy; otherwise, you may need to re-write the whole solution. In that case, watch the clock very closely.
  • Never rub/tippex out any work done even if you think it isn’t neat. Draw a single line through any part of the solution you are unsure about. The examiner must correct it.
  • When asked for your opinion, give it, and refer to any numbers or statistics given in the question if available.
  • Algebra is the bedrock of all Maths courses and is the main area that students struggle with. You need to become a master of Algebra to achieve high grades.
  • Get used to attempting questions involving real life statistics.
  • Estimating the heights of larger objects outside in nature is now an important part of Geometry and Trigonometry.
  • In Co-ordinate Geometry, the slope of a line is very important in practical questions.
  • More recent Maths exam questions tend to contain an increased number of words. The reason for this is the examiners need more English to describe real life Maths scenarios. You need to be able to separate the important keywords in the text from the padding that surrounds them. Use your highlighter or green pen to mark the significant words.
  • Look through the wording of each question and pick out the Maths related information. In all subjects, but especially Maths, identify exactly what you are given and what you are looking for. Watch out for numbers written as words, for example “thirty” instead of “30”.
  • If no diagram is presented, draw one yourself to give a clearer picture of what is being asked. This is especially important in Geometry, Trigonometry, and Area and Volume.
  • If given a diagram on the paper, mark in the numerical information given in the text of the question onto it. Re-drawing sections of more complicated diagrams into your answer book can help to simplify question parts for you.
  • Do not leave any blanks, ensuring that every question is fully attempted. If you leave a blank, the examiner can give you at most zero marks for that question part. If you attempt the question; you may get some marks and perhaps more than you think. In summary: No attempt = No marks.
  • If you are dealing with a Trigonometric problem at Leaving Cert level, know how to apply the three basic Trigonometric ratios (SOH, CAH, TOA) , Pythagoras’ theorem, the Sin rule, and the Cosine rule. In these, you have all you need to solve most right-angled and non-right-angled triangle problems.
  • Relate the information you have in the exam question to the theory and equations you have worked on in class. In Geometry, have you got two right-angled triangles that need to be solved separately? Again, if you are unable to start a question, there is nearly always something you have learned from your teacher or hopefully from my ACE Maths Solution Books that you can draw on to help you. Don’t give up. Be persistent.
  • The relationship between two data sets is important. At LC Level, this concept links ‘slope of a line’ in Co-ordinate Geometry to that of ‘correlation’ in Statistics. Other examples of where topics overlap in Maths at Leaving Cert level include Co-ordinate Geometry of the line and the Circle, and of course Geometry and Trigonometry. Across all levels of Maths, there are many links between topics that you need to keep an eye out for.
  • Do out a ‘time budget’ plan before sitting any Maths paper and be sure to stick to it.

Most importantly, remember that you are not alone and there are tens of thousands of other students in the same position as you on exam day, many of whom have had their various struggles with Maths. Above all, practice your Algebra and be familiar with what formulas are available to you in the log tables on the day. If you are familiar with the main equations and some theory on your course, you have a solid base for giving any exam your best shot. Joe.

To view last week’s feature article on ‘How to Prepare for an Exam Efficiently at Home’, click here.

More details about Joe’s Maths Tuition Classes for Junior Cycle and Leaving Certificate (2022) and his Award Winning ACE Maths Solution Books can be found via the links below.

ACE Maths Classes: acesolutionbooks.com/ace-maths-tuition

ACE Maths Solution Books: acesolutionbooks.com/buy-my-books

*****

*****

Photo: @ZhangChaosheng