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

*****

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Joe’s Jotter: What Maths You Should Know for Higher Level Paper 2 2022

 

Leaving Higher Maths Paper 2 usually contains Probability and Stats, Trig, Geometry, Inferential Statistics and Co-ordinate Geometry, Area and Volume.

  • Your Paper 2 is on the Monday so you will have some time to look over. Again watch out for topics appearing here that should appear on Paper 2.
  • Paper 2 is more about the formula’s so use them if you are stuck
  • Label your diagrams and Label co-ordinates (x1, y1)
  • Do not get caught up in one or two topics – cover all your topics
  • Note that Financial Maths came up on P2 2018 – Be careful..
  • Proofs can be mixed between the two papers

What do you need to learn off for Paper 2?

  • Constructions Numbered 1-22
  • JCH Theorems 4, 6, 9, 14 and 19
  • LCH Theorems 11-13
  • Eight Trigonometric Identities 1-7 and 9
  • Some Statistics Terms (explain the words….‘population’, ‘sample’ etc)
  • Some Geometry Terms (explain the words…‘axiom’, ‘theorem’ etc )

See your textbook for all of these

Geometry

  • Geometry and Trigonometry often come up together
  • This idea of Similar Triangles is quite popular lately
  • There’s a bit of learning here:
  • Students need to Learn Constructions and Learn Theorems off by heart
  • Practice these and know all the steps
  • The best way to learn your proofs and constructions is to keep writing them out. Pin the ones you find difficult to remember up onto your wall. Repeat this process.
  • This could well be mixed with Trigonometry or Area and Volume
  • This is usually one short question on the paper (Section A)
  • In order to learn your proofs and constructions, keep writing them out. Pin the ones you find difficult to remember up onto your wall. Repeat this process.

Trigonometry

  • 3d Shapes are popular. The advice here is to break the shape into 2/3 triangles and solve using SOH/CAH/TOA, Pythagoras, Sin or Cosine Rule.

[Sin and Cosine Rule is in the Log Tables]

  • Be able to read the period and the range from a Periodic graph or a Periodic function
  • Be able to solve Trig Equations (this also may appear on P1 also)
  • You need to be able to prove 8 trig identities – these are listed in your textbook
  • The advice here is go over the questions from 2014-2019 as practice
  • This can be mixed with an Area and Volume Diagram or Co-ordinate Geometry
  • Triangles and Circles linked
  • Understand Trigonometric graphs including Periodic functions (period. Range etc)
  • Go over the past exam questions from 2014-2019 as practice here

Area and Volume

  • Started to get popular from 2017 onwards
  • We sometimes see combined shapes here so it’s a good idea to redraw diagrams
  • Have a look at Q7 2018 and Q7 2017 as practice
  • Can appear on Paper 1

Co-ordinate Geometry of the Line and the Circle

  • They can come up together or on their own
  • They tend to be more in Section A and could be two short questions
  • All the Important formula for these topics is on Page 18 and 19 of the log tables
  • I feel the ‘Big 3 formulas’ are Important (always have a great chance of appearing)
  1. Perpendicular distance between a point and a line
  2. Dividing a line in a given ratio
  3. Finding the angle between two lines using the Tan Formula

[ALL THREE OF THESE ARE IN THE LT]

  • Know the idea of slopes well. Slope formula (LT), m = -x/y & rise/run
  • Know the method for finding the equation of a tangent to the circle. This will involve the slope and maybe the radius of a circle
  • Be able to find the centre and radius of any circle given its equation..

Note that the equation can appear in different formats….

  • This tends to be more in Section A of Paper 2
  • Mixed with Geometry

Probability

100% chance of probability appearing…

  • Know the following three formula’s off by heart (Not in LT)…………… There is a great chance one of these will appear…..
    1. Formula for Conditional Probability – Probability of an event A occurring given that event B occurs.
    2. Formula to show that two events are independent
    3. Formula to show that two events are mutually exclusive
  • One of the following topics usually comes up every year:
    1. Bernoulli Trials (Know how to spot this & apply formula)

or

  1. Expected value of an event
    • e.g. Expected profit from A GAA club lottery
  • It doesn’t tend to be a long question (Section B) except in 2015 when it was mixed with patterns. It could be too short questions on Section A however
  • There isn’t really any help from Log Tables here so learn the above

Statistics

  • Be able to understand z scores for the normal curve
  • The Empirical rule can also appear. Symmetry is the secret to solving. Learn and practice this:
  1. 98% of the population falls within one standard deviation of the mean
  2. 95% of the population is within two standard deviations of the mean
  3. 68% of the population is within three standard deviations of the mean
  • Inferential Statistics. This is where we use the data from a small sample to assume something is true or not for the full population
  1. Know Confidence Intervals for a Sample Proportion
  2. And Know Hypothesis Testing

Both could well appear on Section A but more likely on Section B. Try and understand these as opposed to just learning off the methods like a robot

  • Know how to analyse data by measuring its middle – Mean, Median and Mode. Know about data spread – range, inter-quartile range and standard deviation.
  • Know how to analyse data by measuring its middle – Mean, Median and Mode, as well as its spread – range, inter-quartile range and standard deviation.
  • Correlation and correlation co-efficient does pop up the odd time
  • The Empirical rule does also appear every so often. See the diagram in the Log tables on Page 36. Symmetry is the secret here. Learn and practice this:
  1. 98% of the population falls within one standard deviation of the mean
  2. 95% of the population is within two standard deviations of the mean
  3. 68% of the population is within three standard deviations of the mean
  • Inferential Statistics. This is where we use the data from a small sample to assume something is true or not for the full population
  1. This is a mix of Probability and Stats
  2. This has a good chance of appearing
  3. Confidence Intervals/Hypothesis Testing or both could well appear
  4. It could appear on Section A but more likely on Section B
  • Try and understand confidence interval and hypothesis testing as best you can as opposed to just learning off the methods like a robot.

To view my recent feature article on ‘Best Practice for LC Higher Maths Paper 1’, 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 Improve Homework at Secondary School

 

 

Is Homework Useful?

Students, Time spent at homework each night serves two purposes. Firstly, it is a reminder of what you did that day in school. In my opinion, the first five minutes of homework you do in each subject should be to go back over what the teacher did in class that day. Secondly, it also allows you to test yourself to see if you now understand information about a topic, and maybe how you may need to explore it further. Students should take care over each piece of homework and complete it as best they can. Personally, I really see the value of homework as a key tool in re-enforcing learning that has taken place during each day.

The Best Way to Tackle Homework

 How you approach homework after a long day is the secret to being more efficient with it. Firstly, I would make sure to rest a little when you get home and get a good solid meal into you, especially if you have plenty to do. Clever students ‘eat their frog’ and do the difficult homework or subjects they struggle with first. This allows them to feel better as the evening goes on. As I see it, this make total sense, as your concentration levels, later in the evening, do not need to be as high for subjects you are good at or enjoy as tiredness creeps in.

On a similar note, attempt the type of learning you do not particularly enjoy first. In other words, if you aren’t fond of reading or learning off, do that first as opposed to writing or note taking. Homework and revision are about playing to your strengths and working smarter. It is better to write short key jottings as opposed to spending hours mindlessly reading. Fact!

No Homework Tonight!

 If your daily homework has been completed during ‘free periods’ during the day, it is still important to use those few hours in the evening to revise material from last week or the week before. You need to take these opportunities, if they arise, to catch up. For students in Senior cycle, you cannot really afford to take a full night off. Am I saying you should work from 5 – 11pm every night? No, and you certainly should take a short break every thirty minutes. Even on weeknights, take some exercise or go do that little activity you enjoy that keeps you sane – whatever works for you to get your mind off things.

Homework is the Best Form of Study

 Homework done to a high standard is a brilliant form of study. Reviewing work done in class via mini test questions or checking what’s coming up tomorrow can be included as part of your homework if time allows. Homework teaches you to analyse the information your teacher has given to you. Always take pride in the homework you produce, as it will stand to you in the long term. Time spent doing homework should be counted as part of ‘exam preparation’ time and you shouldn’t feel in anyway guilty when there are nights you do ‘all homework’ and ‘no revision’. Judge each night on its merits and how important each task is.

Super Organisation

Being super organised with homework and your journal are important aspects to kick-start your success. In my opinion, homework is the best form of study, and you need to be disciplined with it. Write homework diligently into your journal each day and complete each piece of homework like you are doing an exam question. Being ‘smart’ with how to tackle homework is a skill, which could take months to refine. Ensure each subject gets a fair amount of ‘homework time’, depending on what you schedule is like for the next day.

Every day, I make a list of tasks on my phone that I need to complete. At the end of the day, I review this list to see how many of them I have actually fully completed. Tasks unfinished are then moved to another day so that each task eventually gets dealt with. At times, tasks are postponed (put off into the future), but ultimately they always get completed unless I deem them unimportant. Apply this technique to your revision, ensuring that everything gets completed eventually in the most efficient manner. Task monitoring, homework discipline and dedication are all attributes of the ‘Super Organised’ H1 student.

Student Survey: The Importance of Homework

 I completed a survey of students previously and asked them to think about the importance of homework to them and how its benefits helped them achieve their goals. Here are some of the more interesting observations they made in their surveys:

“Record your homework carefully in your journal every day.”

“Use class time well if teachers allot it to homework.“

“Set the same time aside every evening for homework.“

“Do your homework after dinner and soon after arriving home.“

“Try to complete your homework before nine p.m.“

“Try to be honest with your teachers in relation to homework.“

“Tick off your homework for each subject as it gets done.“

“When doing your homework, do not lounge on a bed or sofa.“

“Ask your parents or teachers if you cannot understand your homework.“

“Have a quiet study area with a desk, fresh air, and good lighting.“

“As well as written work, browse over what was covered in class that day.“

“Do not let homework affect sleep time, but don’t leave it until the next morning.“

“Plan ahead on assignments if you are expecting a busy week.“

“Get the phone numbers of classmates for queries on homework.“

 

To view last weeks feature article on ‘How to become a Specialist at Maths Exams (Part 2)’, click here. Joe

 

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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: How to become a Specialist at Maths Exams (Part 1)


Surprisingly, thousands of top Maths students over the years have struggled when it comes to performing to their ability in Maths exams. In my experience, there is now a disconnect between how teachers teach a Maths class and the skills students use during a Maths test.

For some students, a fear almost overcomes them with the thought of a Maths test upcoming.  Similarly, a fair percentage of students that breeze through other subject exams freeze during Maths ones. A significant aspect of Teaching Maths now is helping students overcome their anxieties, while teaching them the key techniques to retain their calmness and confidence.

Sitting a Maths exam is a skill, but it is something that if you practice and apply a defined strategy to, you can get quite good at it. Every day, I work closely with students to teach them these vital skills to excel in all kinds of Maths assessments.  Below are my insights into how to ACE any Maths exam – from the five minute class test to the full on final state examination.

Make Changes to How You Revise and Prepare for Maths Exams

Below are some clipits of advice to help you get set for a Maths exam. Applying these practical guidelines in your revision plan and during exams will 100% improve your grades.

  1. Apply the skills you have learned from practicing past exam questions under time pressure at home. A time budget plan is a key part to success in any Maths exam.
  2. Keep a hardback of Maths notes. Being familiar with words that appear on Maths papers are vital to aid understanding of the questions you are being quizzed on.
  3. Find multiple-choice questions online or ask your teacher if they have some. These are like ‘speed-studying’ and require less time to work through and test yourself on.
  4. Attempt past exam questions. After completing each past exam question, be sure to view its exact and fully developed solution to see how your work stacks up against it.
  5. Stay alert for key words and phrases to guide you through a question. For example, the volume of an object should allow you to find measurements on it by working backwards.
  6. Use familiar mathematics to guide you. Think back to relate the test question to a concept, topic, or technique your teacher did with you in class.
  7. Formulas are key in Maths. Reflect on what formula you know that may help you solve the problem. This formula may in fact be printed on the test paper or in your log tables.
  8. Can the diagram in the question help? Writing relevant information on a given diagram may prompt relevant thoughts and connections to help you start a Maths question.
  9. Show all workings. Always show how to get from one step to the next. Provide all your workings out to support your answer. At the end of each question, always ask yourself ‘Is this a realistic answer or solution to the question being asked?’ Example: Ten metres would never be an acceptable answer for the height of a pencil. You get the Idea.
  10. Read the entire question… twice. Check what the question is asking and in what form you need to present the answer. For example, you might need to round the final answer (decimal places, significant figures, scientific notation) or convert to an annual amount.
  11. Note the key Information given in the question onto your answer book. Subsequently, note the Information that isn’t present. Link these two to help complete the full jigsaw.
  12. Don’t be afraid to utilise diagrams or tables in your solution. This will clarify your understanding of the information in the question and support your workings out.
  13. Show all relevant substitution (subbing in). This shows the examiner that correct Maths processes are being used (e.g. showing the substitution of an x-value into a function). Joe

To view last weeks article on ‘The ACE Guide to Exam Prep from Home”, 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

*****

*****

Photo:@ZhangChaosheng

Joe’s Jotter: The ACE Guide to Exam Preparation from Home (Part 3 of 6)


Dealing with Motivation Issues – ‘I Don’t Know Where to Start’

Students, if you are struggling for motivation at home right now, put a half day’s timetable in place tonight and give it a go tomorrow. Set each revision block to just thirty minutes and time will fly. As you begin to see progress, your motivation will grow. An alternative approach to developing a timetable would be to create a task list. Each night you could write down a list of ten to twelve challenges you would like to achieve in various subjects the next day. Tick them off then as you get them completed. If you currently feel you are swamped with work and worry, this is now your ‘get out of jail’ card, so try it.

Set Measurable Targets

It is so important to set targets, otherwise timetables and lists are just ‘drive bys’ and ‘hopeful’ preparations that you will never be answerable to. We all need targets to help us achieve things. It is also a fact that we are more likely to reach them if they are written down.

Once you set a measurable target (example: eight pages from a textbook to be summarised into your own words), assess how much progress you have made. On completion, tick it off from your full sub-topic list for the subject. A short term target could be as simple as ‘understanding emotions’ from two English poems or practicing writing letters to an imaginary pen pal in whatever modern foreign language you study. Remember if you don’t know where to start, commence with the basics of a topic. i.e. view the first few chapters of your textbook or the first set of notes your teacher gave you on it. Start small and then when you get up and running and notice progress, you will be encouraged by your own efforts. Just get a routine going somehow, and then rinse and repeat. Information about setting up a full ‘Lifestyle Study Timetable’ is detailed in my textbook ‘How to ACE the Leaving Certificate’ for all subjects.

Write out a List of Motivations in Your Journal

Another tip to improve motivation is to write out a list of medium and long term targets in your Journal and then write ten reasons underneath explaining your motivation to ACE them. On lazy days, open that page and read your ‘motivational list’,  thinking about how you felt when you wrote them. This will inspire you to get started on revision and keep going when days get tough. Revising and preparing may seem like it is solely for your upcoming exam, but you will discover that learning is a lifelong process. Try to enjoy the challenge of getting that timetable completed or ticking off those tasks; you have nothing to lose and all to gain. It doesn’t have to be perfect, just give it your all.

For those of you who continue to struggle to get started on revision, start by writing down the activities you lean towards to dodge study. Put this list on your wall and be fully aware of the times you drift towards them. Being aware of this ‘distraction list’ will remind you of what you really should be putting your mind to at any given moment. Any effort or movement towards starting a short revision block should motivate you to commence a second one i.e. The hardest part of being successful with any task is often just getting it started. Imagine yourself, on your side, rolling down a steep hill. You will gain momentum as you go…and it could even be fun. Give yourself plenty of breaks as a reward for your hard work.

The Many and Best Ways to Learn

The key to any successful Lifestyle (Study) Timetable is keeping your brain fresh by completing different tasks every thirty minutes. Rotate your learning between different subjects but also within subjects. What I mean by this is: Revise in all the different ways possible. You only need a few repeatable methods that work for you, but you won’t know which ones suit until you actually road test them yourself. The below is a sample list of the many ways we learn. I am sure you could add even more creative and interesting ones to this list matching your personality. Pick out four or five of the below approaches and give them a try today.

  1. Write a bulleted list to explain and summarise a short book extract.
  2. Summarise a chapter of your textbook into your own words.
  3. Create flash cards with a list of facts. Limit each card to seven key points.
  4. Record a summary using the voice memo function on your phone. Replay back.
  5. Put keywords and their definition for each subject (per topic) into a hardback.
  6. View a YouTube video of an expert or listen to audio/podcasts on topics.
  7. Teach or discuss what you have learned with a member of your family.
  8. Get your parents/siblings to ask you questions on a topic you have just revised.
  9. Read a summary out loud to yourself.
  10. Rotate your place of study to retain freshness. e.g. the garden or kitchen table.
  11. Create Bubble diagrams with Microsoft PowerPoint to illustrate topic linkages.
  12. Create a visual Mind Map for a sub-topic you are struggling with.
  13. Stick nine postits onto an A4 sheet. Write a summary with keywords onto them.
  14. Use different coloured pens (red and green) to draw attention to key points.
  15. Use different coloured highlighters to mark relevant dates and details of note.
  16. Chat to friends to find out how they are approaching certain subjects/topics.
  17. Stick stickies/sheets on your wall for memory. Rotate this content every five days.
  18. Research topics on the Internet to give yourself extra pieces of information.
  19. Continually test yourself with sample tests, online quizzes & past exam papers.
  20. Use Graphic Organisers to create a more visual set of notes (samples below).
Sample Graphic Organisers*

*Source: Using Graphic Organisers in Teaching and Learning (SLSS)

To read last weeks article on ‘The Core Skills required to Revise Maths Better”, 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

*****

 

 

 

 

*****

Photo: @ZhangChaosheng

Joe’s Jotter: Core Skills for Revising Maths Better at Home

In light of the how the last few years have panned out, students (and indeed their Parents) need to examine closely their daily routine to ensure effective learning is now happening. Maths is a subject that tends to take up more time than others and hence 3rd and 6th years should firstly consolidate what they know and then make a list of topics that they need to learn and revise going forward. Spending time on past exam questions and learning the terminology that appears on them is wise use of any student’s time now.

From this point of view, I would recommend that all exam students start a ‘Maths hardback’. Fill this hardback with new words, formulae’s not present in the log tables and keynotes. Divide the hardback into sections, one for each topic on the course. Secondly, when revising at home, students should test themselves against the clock on full or partial past exam questions. Set these as your two main targets for the next few months.

Algebra is the Language of Maths

In Junior and Leaving Cert Maths, you need a good solid Algebra foundation to build on in order to excel in topics like Geometry, Trigonometry, Functions and Graphs and Probability. I estimate that Algebra is linked to at least twenty five percent of Maths exam papers at all levels now. Take time to understand the rules of Algebra especially those linked to expressions, functions, and graphs. With all its linkages, I, one hundred percent        think that Algebra is the most important topic in Maths. The words and phrases that appear in your book and in the past exam papers have become a close second. The State Exams Commission (SEC) now place more emphasis on students knowing and understanding what things mean in Maths, than just traditional numerical calculations.

There is also more ‘English’ than ever on Maths exam papers, and it is crucial that you start familiarising yourself with these words. If you are not familiar with the words and phrases that appear on the paper, you may not even be able to get a question started. This would be an awful shame given the amount of time you have spent learning mathematical concepts on your course. If you have dyslexia, I understand that dealing with words in Maths is doubly difficult. You need to be aware that different words have a different meaning depending on the subject you are studying. For example, the word ‘Evaluate’ in Maths is very different to its meaning in the subject English.

In my book ‘How to ACE the Leaving Certificate’ for all subjects, there is a full chapter advising how you can improve your Maths. In this book, I present and explain one hundred sample key words and phrases to kick start your understanding of the language of Maths. This list is suitable for both Junior and Senior Cycle students, remembering that some of the more difficult words would not appear on a Junior Cycle paper. I would strongly encourage students to add to this list, investigating the exact meaning of words you come across daily. You will learn loads through your own active investigations.

In summary, I recommend that every time you encounter a new Maths word or formula, write down what it means to you in an A5/A6 hardback. This hack can be applied to all subjects and these hardbacks can be carried with you (literally) all the way up to sixth year. Using simple explanations that you understand in your hardbacks will help you recall what the words mean later. Being familiar with the words that appear on a Maths exam paper has now become a key component of success in the subject.

Test yourself at home in Maths

The more ‘exam smart’ you are, the better you will perform on exam day. I have seen the best students do homework to perfection all year, really knowing their stuff, but ultimately not reach their potential In Maths come June. Every year loads of super students misjudge the timing on the paper. It is imperative that you stick exactly to the allocated time for each question. In Leaving Cert Maths, the timing is different this year due to increased choice on the paper. Junior Cycle timing in Maths will be written on the paper.

You should now start timing yourself on past exam questions at home. At Leaving Cert level, part a’s and b’s of Section A are a good place to start. Attempt questions that look familiar first, maybe even consulting your book/notes from time to time. It’s all learning. Once completed, check your workings out against a good exam paper solutions book. If you have struggled to make reasonable inroads into answering, I suggest you re-write the steps of the full solution on a page, really thinking about why each step is important as you write it. Every few weeks, tackle some longer questions and write out the steps (in English) how you would solve it. This better solidifies the method you used in your head.

There are many advantages to creating your own ‘home test environment’. You should constantly test yourself on material revised. During these mini home tests, I would use a stopwatch to ensure you are ‘sticking to the time’ for each individual question part. This is vital across all subjects, but especially in Maths. In creating this little bit of time pressure, you are replicating the exam hall environment. Train as you propose to play is the idea here.

Please do get in touch with me if you have any Maths queries. I would be delighted to guide or help you in some way. Thanks for reading. Joe

To view last week’s feature article on ‘The Many Benefits of Doing Transition Year’, 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

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Photo:@ZhangChaosheng

Joe’s Jotter: Choosing Subjects for 5th Year

Choosing subjects for 5th Year can be daunting enough, and soon many 3rd and all Transition (4th) year students will be faced with that task in school. A 4th year student will have had more time to contemplate options, and so sometimes make more considered choices than those coming straight from the Junior Cycle (3rd year), and this is something Parents need to be aware of. It is important to put some thought into how subject choices may influence career options later. Students should consult with all their teachers and ask them about the level of work that’s required for success in a given subject at a specific level.

Third Level Considerations

Students,

If you have a third level course or career in mind, it is important now to do a little research into its content and investigate if there are any minimum entry requirements to gain access to it. All courses now have detailed descriptions of each module online, listing out exactly what you will be required to study on a year by year basis. It is important to note that no matter what points you achieve; you will not be allowed onto a course unless you achieve its minimum entry requirement (if it has one). This may guide you to choose particular subjects. In the case of compulsory exam subjects (which you will be studying anyway), obviously there is no choice to make there. However, if there is a requirement on your desired course to score a certain grade in a foreign language or other subject, you will need to opt for this subject if your heart is set on that course. However, to this tune, I would strongly recommend you have a plan B and C in place when choosing courses and will discuss the importance of this in articles later in the year.

In relation to specific college requirements, it is useful to know that the NUI colleges (UCD, UCG, UCC, Maynooth etc) require a pass in a third language [excluding English and Gaeilge] for many of their courses. However there are now exceptions to this: UCD has dropped this requirement for Engineering and Agricultural Science, and Maynooth has removed it for

Business, Accounting, Finance and Law. Trinity, UL, DCU and the Institutes of Technology do not have this third language requirement, except for their language courses. Again, the advice here is to double check the requirements online for each individual course.

There are also ‘Subject requirements’ on courses. Examples include: to study Primary teaching, you need a H4 in Irish, Engineering courses may require honours Maths and sometimes a science subject, Medicine may require two science subjects (one being chemistry) and Nursing may also require a science subject. The savvy student will do some research on websites like qualifax.ie and careersportal.ie to get a handle on the exact requirements of courses they are Interested in.

The Eight ACE ‘Do’s’ for choosing Subjects

All in all, when it comes to subject choice, students should think a little about their futures, talk to teachers, look at courses they may have an Interest in and discuss with their peers gone ahead how they found studying the subject. Take your time and choose well. It may be wiser to choose subjects you have an interest in, as opposed to ones you feel you must choose in order to get into a certain career later. It is definitely a balancing act. Here are my eight ACE do’s for subject choice for 3rd and 4th year students:

  • Do…Choose subjects you enjoy learning about
  • Do…Discuss it with as many people as you can including teachers and peers etc
  • Do…Try and keep your options open as much as possible
  • Do…Choose subjects you have some kind of a flair for or Interest In
  • Do…Research each subject’s content on https://www.curriculumonline.ie/
  • Do…Choose subjects linked to a possible future career you are considering
  • Do…Write down the Pro’s/Con’s when trying to decide between two subjects
  • Do…Make the final decision yourself (not your friends, teachers, or parents)

Final Choice Advice

The best advice I can give about subjects is to select ones that keep your options open. You can best do this by choosing one foreign language and ensuring that at least two of the other three subjects picked are ones you have an interest in or flair for. Remember that you will be spending a lot of time studying your chosen subjects over the next two years and the nightmare scenario would be dreading going into that class each day. I myself selected a subject I regretted taking in 5th year, but luckily was allowed switch later. You may not be as fortunate in your school, so try and get it right the first time to save any unnecessary anxiety. I now also have a degree in a subject that I didn’t study for my Leaving Cert. Life can be funny, so my advice is ‘rule nothing out’ and keep as many doors open as possible.

In choosing subjects, always play to your strengths. For example, if business is something you are really interested in, you could choose Business and Accounting (assuming they don’t clash on the school timetable). Similarly, if Science is your area of passion, you could opt for two of the Science subjects i.e. Biology, Chemistry or Physics. Applied Maths or Agricultural Science may also be other options here.

Enthusiasm for any subject will foster a desire to learn more about it and studying these subjects in Senior Cycle won’t even feel like learning. If you are struggling with this decision, get in touch with me via my website below and I will send you some resources that will help. I wish you every success with your upcoming decision. Joe

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

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Photo: @ZhangChaosheng

Joe’s Jotter: ACE’ing your Christmas Exams 2021

First, Second and Fifth years; you will be commencing your Christmas exams soon. In the case of Second and Fifth years, it is another step towards your State exams and of course you want to put on a good show for work done over the last few months. Consequently, your preparation needs to start now for these exams. If you have very little revision done up to now, it’s not too late to salvage a decent percentage in order to set you up for the second term. It is never too late to start revising. Here are ‘Six of the best’ tips to ready yourself for the upcoming challenges:

  1. Set up a ‘Lifestyle Study Timetable’.

You need to put some kind of a plan in place for the next few weeks and I believe the ‘Lifestyle Study Timetable’ fits that bill. In summary, draw out a weekly timetable containing thirty minute study blocks each tagged with a five minute break after each one. Each block will contain a topic from one of your subjects. Prior to entering topics required to be revised; enter your school times and all the leisure activities or events you will be involved in and need to commit to that week. Keep some catch-up blocks free each weekend in case plans change during the week. It is better to have a plan in place that needs tweaking than no plan at all. Be ambitious but realistic with your plan ensuring it is short term. This will allow you to improve and adjust the next renewal of it. Full details of how to construct the ‘Lifestyle timetable’ is contained in my two hundred page ACE Study Guide textbook.

  1. Consolidate.

I would advise you, at this point, to consolidate the main topics you have studied with your teachers since September. Prepare no new material while also being realistic what you can get covered in a couple of weeks. Your teacher should be able to give you a broad outline of the main topics for consideration for this exam.

  1. Summarise.

Start writing out summaries of the core topics in your own words, whether this is using notes from your teacher or Information from your textbook. Mind maps, bullet points, pocket hardbacks, posits and flash cards are all useful for this. I am a firm believer in students having their own set of notes that can be read and understood easily. As with any exam, you do not want to be trawling through pages of notes as deadline day looms. Start putting these good habits in place now and you can build on them in January.

  1. Tend to all Subjects.

It is important not to neglect the subjects that aren’t your favourite or that you may not excel in. The first piece of homework you tackle every evening should be from these subjects and they should also get more time (blocks) on your ‘Lifestyle Study Timetable’. You are better off to have the majority of percentage scores for subjects around the class average, as opposed to having very high and very low percentages across a mix of subjects. Give each subject the respect it deserves, and balance time spent on them as best you can. Focus on your weaknesses, as it is likely your talents in the other subjects will balance overall grades out. This also applies within subjects. Getting very low scores in certain subjects can really drain confidence and leave you wondering “Where do I go from here”?

  1. Listing and Ticking.

List out the set of topics (subject by subject) you plan to cover for these exams onto an A3/A4 sheet. Put an ‘S’ beside a given topic when summarised and then tick it off when you feel confident you could answer a potential exam question on it. Having these lists on your wall will provide an added incentive to get more done. Ticking off each list and watching the workload shrink will help you feel so much better about how your revision is progressing. ‘To do’ lists are another variation of this. I use these in my business every day and find them excellent. Ticking off tasks done at the end of each day gives me great satisfaction. Try it and see yourself!

  1. Build Yourself Up.

Eating well is important as your body is more inclined to break down with colds, flu’s, and bugs at this time of year. It will be really difficult to do any constructive preparation if you develop that niggling cold or sore throat. In my opinion the best foods to enhance your system at this time of year are porridge, lemon/orange juice, hot soups, curries, stews, hot roast dinners, mugs of hot drinks and of course loads of water, to name but a few. Sugary cereals or Energy/Fizzy drinks will never improve your health or help illness resistance. Get your parents on board here by making sure they have stocked up the nutritional and warm homely winter foods to get you through to the last Christmas exam.

Finally, put a good solid effort into your revision over the next few weeks and you can relax then and enjoy Christmas with your family and friends. Your endeavours will be worth it when you see your grades being posted out in January. Take pride in your work at school, just as your parents take so much pride in everything you do. Good luck. Joe

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

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Joe’s Jotter – Should I Continue Studying Higher Level Maths?

More students over the last few years have taken on the task that is Leaving Cert Higher Maths. In 2021, out of the 57,303 who sat a Leaving Certificate Mathematics Paper, 22,918 of them opted for higher level (40%). 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 drop down. 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 mis-conception 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 forth 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 2021, 97.4% of students who attempted higher level Maths got a H6 grade or above and therefore picked up the 25 bonus points. That is 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. Dropping down 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 dropping down.  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

To view last weeks blog on the ‘Importance of Handwriting Your Own Notes’, 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

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Joe’s Jotter: How to become more Successful in Maths (2021)

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 the 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 amount 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 key concepts without being born a Maths genius.

Can Anyone Be Successful at Maths?

People regularly ask me about this hypothesis, and I believe Maths is a subject everyone can do well in by being more open minded and willing to try different methods. For sure, your parents have a role to play here, so make sure and 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 in their child’s development. 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 and 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.

Skills That will Improve Your Maths

You must adopt different approaches in Maths; it is unique. 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 easy access later. It’s amazing how much you will recall about what you wrote down and what advice your teacher gave you back then. Re-do some questions from then to start a Maths revision session. 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.

More Interesting and Informative Maths feature articles will follow as we lead up to the Junior and Leaving Cert 2022.

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

W: acesolutionbooks.com/ace-maths-tuition

FB: facebook.com/JoeMcCormackEducationalExpert/

 

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Joe’s Jotter: Six ACE Pointers to Help Settle you 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 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 markings with a red or green pen 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 successful students do a small plan 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 2022 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 get familiar with each one. 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.

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

W: acesolutionbooks.com/ace-maths-tuition
FB: facebook.com/JoeMcCormackEducationalExpert/

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Project maths-the silver bullet or a step in the right direction?

Project Maths –the silver bullet or a step in the right direction?

Maths teacher and ASTI member Joe McCormack looks at the impact and challenges of Project Maths The new Project Maths course is well and truly upon us now at this stage. This new way of teaching and learning maths will be given a fair shot to see if it can raise maths competency and increase the cohort of students who take higher level maths. Last June, Strands One and Two of the Project Maths syllabus were examined in the Leaving Cert with students studying the new course on Probability/Statistics and Geometry/Trigonometry, alongside other topics from the ‘old’ maths syllabus. This cohort only began to study the new syllabus in Fifth Year and so the students were in the precarious position of having to try to understand the “Project Maths way” in just two years. While, in general, the “old” course saw the above topics examined as separate questions with little linkage between them, June’s exam paper, in some places, linked topics together. I welcome this new association since we now live in an integrated world where problems, both academic and real life, need to be solved using a mutli-pronged approach. The Leaving Cert class of 2013 will need to need to be even more competent in dealing with the new concepts as they take on Strands Three and Four of Project Maths. Like the 2012 students, this year’s class will have studied the old syllabus at Junior Cycle, which means they have to work hard to adjust to the new course. Most teachers would agree that it would have been more beneficial for Project Maths to be introduced to only First Year students initially, with these students working their way up through the system, building on the concepts from the foundation up. Leaving Cert 2012 The results are now out for the class of 2012, so what are their implications and what kind of reaction have they got thus far? Firstly, an increase in the numbers opting for the Higher Level maths paper was anticipated, but the surge of 35 percent on last year’s numbers exceeded expectations. In actual terms, the uptake on this paper increased from 16pc to 22pc. This year 11,100 candidates sat the higher level paper, up from 8,235 in 2011. Almost all of them (98pc) were eligible for the additional 25 bonus CAO points because they achieved a D3 or higher in the subject. This should give great encouragement and reassurance to students in two minds whether to take this level. The bonus points inevitably contributed to higher CAO cut-off points in areas such as science and technology. Points for such courses were expected to rise anyway, driven by the increase in demand from students heeding the advice of Government and employers in relation to jobs. However, this initiative does not seem to have distorted the points system as much as was expected with only approximately 3,000 students using maths as one of their six CAO subjects and thereby benefiting from the bonus points. This would indicate that different or additional measures may be needed. Employers have welcomed the results but warned there was no room for complacency. Student feedback Students’ experiences and feedback on Projects Maths, in general, are mixed. From my experience, the First Years are enjoying the common introductory course. For example, the new Probability section allows them to get involved in more practical maths in the classroom, enhancing their learning on the primary school topic ‘chance’. I believe the more practical questions will increase students’ interest in the subject because they relate more to student’s everyday experiences. The teacher will have more opportunities for open discussions on topics in class and allowing students to back up their answers with relevant information should also allow them to express themselves more, leading to them developing a deeper knowledge of topics. In parallel with this, if a student can argue their case properly in the context of what they are being asked, they could be in line for very high marks. I see this as a positive development as it will foster creativity and promote independent thinking. However, in my opinion, there needs to be a more balanced paper set at all levels. Some elements of the papers were marked too easy while topics in other areas were too difficult. I would be more in favour of questions that are fair with a more rigorous marking scheme applied, if necessary. It would be nice if students finished their Post Primary Maths experience satisfied that they did their best and that the rewards reflect their efforts. They shouldn’t feel traumatised to a point that preparation for other exams might be compromised. This year, most students got the result they deserved anyway so why should we put our students through this? We, as teachers, want to see our students given a genuine opportunity to show what they have learned. I feel that they cannot do this with complicated over wordy questioning aligned with some abstract university type problems. Surely every student deserves simple language and somewhat relevant questions on their paper? Social media has allowed students to feedback openly on the new course. The idea of being able to write on the paper is clearly one they welcome. However, practical issues must also be considered: will the length of a student’s answer be influenced by the amount of space allocated for each sub question? Unfortunately, I think a weaker student could be drawn into the idea that a small amount of space for a question might mean a very short solution is required. Also, students must be given enough room to write their answers to a particular part of a question on the same or next page. Teaching challenges There is no doubt that teachers will need to adjust to this new practical way of teaching their subject. They will need to choose their books carefully and use a wider range of resources outside these books. They will need to think outside the box and try to bring some of these new topics to life using practical examples and real life demonstrations. They will need to be more ICT proficient; I believe the Department may need to look at some more Continuous Professional Development in maths specific ICT. One of the biggest challenges for the classroom maths teacher is time. At the moment, it is hard to gauge how much time to spend on each topic and sub topic. Teachers will learn, as each year passes, to structure the course better, including the topic order and timeline. They will learn to choose the best paths through each topic while keeping a closer eye on the syllabus than ever before. However, I believe the Leaving Certificate courses at both Higher and Ordinary Level in their current format may now be too long. Looking through the available exam papers, the length of some of the questions has increased significantly. Those schools that haven’t done so already may need to introduce a double maths class on their senior cycle timetable. In parallel, I envisage a situation where schools may start investing Transition Year maths time to teach some of the Project Maths syllabus and concepts. The marking scheme will be interesting too with the new credit system seeing students being marked from zero up. At present there are a number of graded versions inside the marking scheme. After seeing how this year’s papers were marked, many teachers I spoke to felt the Department hasn’t yet hit the target with the weighting of marks. Students and teachers need to be given more concrete information on how the exam is being assessed. I welcome the Department’s Initiative to create a “Professional Diploma in Mathematics” course. This is a free two year course to upskill maths teachers and to support the implementation of Project Maths. There is an incentive there for many maths teachers to improve their skills and the Department has, in fairness, improved the resources available to teachers via the Project Maths team. In general, we as maths teachers are still a little sceptical about Project Maths. There is also a concern about some topics that have been removed from the syllabus that may be necessary for some mathematically related university courses. In a survey of 253 members of the Irish Maths Teachers Association (IMTA), over 77 percent thought students would benefit if maths teaching in schools was combined with industrial visits to view real-life application of maths. The Government has little money to spend; industry must be encouraged to support the work of maths teachers as much as possible to bolster the effectiveness of Project Maths.

Project maths-the silver bullet or a step in the right direction?

Project maths-the silver bullet or a step in the right direction?
Project maths-the silver bullet or a step in the right direction?More details about Joe as a Maths Tutor for Junior Cycle and Leaving Certificate (2022), ACE Maths Assessments and Solution Books via the links below.