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Project Maths

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Comments

  • Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    jimkekk wrote: »
    This thread is getting very personal and I think it is better for everybody (including me) to move on. At the moment it is the students that are important and nothing should be said or written that will upset them in any way.

    That's rich, considering the personal attacks you've been throwing around.

    Having observed the later development of this thread from the sidelines since jimkekk joined in, I find I can no longer resist pointing out a few glaring inaccuracies in his posts:

    (Sorry for my longest post ever, but there's just so much to contradict, and this is only a selection! See end for TLDR.)

    Post #87
    jimkekk wrote: »
    ...
    The good news is the SEC (state examinations commission) are completely ignoring the NCCA and will produce good examination papers.
    I see no evidence that SEC is ignoring NCCA. It looks to me as though their sample papers and real papers have been doing pretty much what the NCCA said they would do.

    Post #89:
    jimkekk wrote: »
    ...
    Good news it's on its last legs .The SEC have decided to do their own thing
    Again, no evidence for this.

    Post #92:
    jimkekk wrote: »
    ...
    (i)Too much emphesis on statistics and probability gone from worth 25% of the marks on paper 2 to 50% .Probability and statistics do not feature in many first year 3rd level courses.
    As already pointed out, this claim is ludicrous. The number of students who will need to take a statistics course at some stage at 3rd level vastly exceeds the number who will need to take any other type of mathematically related course.

    Anyway, the LC course is not just about preparing for 3rd level. It is also about educating people to be informed and discerning citizens. Beyond basic numeracy, statistics is one of the areas of mathematics that are most relevant in trying to achieve this goal.
    jimkekk wrote: »
    ...
    (v)The people running project maths have had their sample papers rejected by the pilot schools see ministers reply to a question from Olivia Mitchell
    "It is not the normal practice to issue mock examination papers. However, the
    NCCA issued mock papers to the 24 Project Schools in February 2011 which were
    intended to supplement sample question material already sent to schools for the
    relevant strands the previous summer, and the sample papers published by the
    State Examinations Commission in October 2010. The feedback indicates that the
    questions in the mock papers were more difficult than expected. In response,
    all of the project schools were notified that it was the sample paper published
    by the SEC which reflects the standards and type of question likely to arise in
    the actual examination."
    I rest my case when the SEC tell the pilot schools to reject the mock papers set by the NCCA enough said

    LOL! The SEC told the pilot schools no such thing.
    The message that was sent to the pilot schools came from the NCCA themselves.
    And what does the message reveal:
    People who never had to produce exam papers before were pressured by schools into producing some mock papers, because it seemed that none of the commercial companies wanted to bother. Lo and behold, they didn't do quite as good a job as the state agency whose sole function it is to make good exam papers. The teachers told them that they were a bit too hard. They accepted the feedback and pointed out to the schools something that should have been obvious anyway: the best indicator as to the standards that the SEC will expect in June is given by the sample papers that the SEC issued.

    Post #101:
    jimkekk wrote: »
    ...
    The committee then formed made up of mostly of non teachers or teachers with little or no teaching experience . The minister at the time Batt O'Keeffe apointed an ex Rose of Tralee with 6 months teaching experience as a spokesperson and "expert" .
    This is simply false. As I pointed out in a post on another thread to someone who was claiming that this course was produced by people with no mathematical background:
    ...They are produced by course committees of the NCCA. The course committee for a Leaving Cert subject consists of:
    - 5 teacher representatives (2 ASTI, 2 TUI, 1 subject association)
    - 3 school management representatives (1 ACCS, 1 IVEA, 1 JMB)
    - 3 representatives of third level (2 IUA, 1 HETAC)
    - 1 DES representative
    - 1 SEC representative.

    The school management bodies typically nominate principals or vice principals whose teaching subject is the one concerned. IUA and HETAC nominate lecturers in the subject concerned. The DES rep is usually an inspector of the subject, and the SEC rep is usually the EAM/Chief Examiner for the subject.

    So, by my reckoning, the 13 people you are claiming have "no mathematical background" are, if the nominations followed their typical patterns:
    5 current maths teachers, (nominated by their colleagues)
    3 former maths teachers, now in school management
    3 professional mathematicians
    1 DES inspector of mathematics (i.e., a person whose profession it is to evaluate quality of teaching and learning in mathematics)
    1 SEC Chief Examiner (i.e., a person whose profession it is to assess mathematics achievement)

    In fact, you can find out precisely who is on these committees on the NCCA website: http://www.ncca.ie/en/About_Us/Commi...March_2011.pdf
    jimkekk wrote: »
    ...
    The minister at the time Batt O'Keeffe apointed an ex Rose of Tralee with 6 months teaching experience as a spokesperson and "expert" .
    The person referred to is not on any syllabus committee of the NCCA, not that I would see any problem if she was.
    jimkekk wrote: »
    ...
    The committee gets most of its information from UL. There was no consultation with teachers or the Irish maths teachers association .
    False again. There is no-one from UL on the course committee, as far as I can see. There was a wide public consultation process beforehand, which was well advertised and open to anyone to make their opinions known. (I didn't get around to making a submission myself, but there you go.) As you can see from the list above, the Irish Maths Teachers Association are represented on the committee itself, not to mind being consulted with!
    jimkekk wrote: »
    ...
    The NCCA has produced sample papers which are so out of touch with reality that the SEC wrote to the 24 pilot schools telling them to ignore the NCCA papers. So now those who are implementing the course and deciding the syllabus are at odds with the NCCA .
    False, as previously explained.

    Post #105
    jimkekk wrote: »
    I also question the wisdom of removing/reducing other important topics such ... Max and Min problems in differential calculus .
    I see no evidence in the syllabus document that this has been removed. In fact, it looks to me as though applications of differentiation have been expanded. Section 5.2 explicitly mentions applying differentiation to both max/min problems and rates of change at both Higher and Ordinary level. Combining this with the skills specified in section 5.3 opens a whole world of possibilities.
    jimkekk wrote: »
    ...
    But my biggest concern is the people in the NCCA who are in charge of Project maths they have produced a series of sample papers which were littered with errors ,contained topics (5)not on the course and which the Dept of Ed instructed the pilot schools to ignore as they did not represent a fair assesment of the syllabus.
    (Repeating it doesn't make it true.)
    jimkekk wrote: »
    ...
    Students in the pilot schools sitting the LCM exam in June are at a serious disadvantage (but they have been assured that they will be looked after).
    So, you think it's a big dumbing down exercise, and yet the people who have to do it are at a disadvantage. Make your mind up.

    Post #109:
    jimkekk wrote: »
    If you are so against rote learning why do you support Project Maths which involves learning Geometry Theorems off by heart (compulsory for first time on LCHM) and learning lots of definitions of different types of data off by heart ,learning the rules of probability using sets off by heart ,learning the rules for finiancial maths off by heart .
    Check the draft syllabus.
    Rote learning is alive and well in Project maths .
    There is no directive in the syllabus to learn these theorems by rote. It is not unusual in second or third level maths exams anywhere in the world to expect students to be able to produce some specified proofs in an examination. Nobody in their right mind would recommend that the best way to prepare for this is learning by rote. Theorems are immeasurbly easier to reproduce by understanding them and just remembering the one or two key ideas.

    There is no requirement to learn definitions of data types. There is, however, a requirement to understand and distinguish between different types of data, which is reasonable.

    There is no real "learning off by heart" involved in the rules of probability. If you have mental picture of a Venn diagram, and/or use a bit of common sense and understanding, the rules simply pop out.

    There is no requirement to learn "rules for financial maths" (whatever they are) off by heart. All the formulae needed are in the formula book. Basically, they just need to be able to understand and apply the idea of present value. And, at higher level, to be able to treat a sequence of regular cashflows as a geometric series, which is quite a nice application of geometric series.
    jimkekk wrote: »
    ...
    The bigger issue is the NCCA project maths committee which has lost all creditability as a result of their discredited sample papers .
    see below minister Quinns reply to a parlimentary question.
    NCCA issued ... actual examination. [/U][/B]
    The SEC no longer agrees that the NCCA should set sample papers.
    Another twist on your earlier false claim. In this case, it's worth noting that NCCA never has set sample papers. Sample papers have been produced by the SEC since it was established, and before that were produced by the Department of Education.

    Post #114:
    jimkekk wrote: »
    ... the leaving cert H has always had what I would call A1,A2 blockers usually in the most popular questions on Paper 1.
    Aside: the only person I've ever heard using this phrase is the self-styled "maths guru" John Brennan. Methinks TommyDoyle has stumbled upon an unomfortable truth. I note you also share JB's interest in forestry matters in South Dublin: http://www.boards.ie/vbulletin/showthread.php?p=72429608:

    Post #133:
    jimkekk wrote: »
    Project will not exist in 3 years time the Minister already wants to abondon it
    Can you provide a link to a quote from the Minister?

    Post #145:
    jimkekk wrote: »
    I was a student of JB in the 80's . I now work at 3rd level but do a lot of leaving cert grinds .
    Jonnie B is a legend in our class we had 6 students who did acturial studies . I can remember the results of our class 12 A1 ,6 A2 .Nobody got a B or a C . That was the real LC (1988) .
    He has helped so many students .If he says PM is not a good idea ,it's not a good idea !
    I won't have a bad word said about Jonnie B he was my teacher for 5 years so do not call him a dinosaur!

    So, you were in JB's class in the 80s, did your Leaving Cert in 1988 and have been teaching maths for over 40 years. That's a good trick.

    TLDR: although I wouldn't have phrased it quite so crudely as he did, the evidence supports LeixlipRed's assertion that JimKekk/JB is speaking through the orifice obtained from the correct one by applying the orthonormal change of basis represented by the diagonal matrix 1 0 0],[0 -1 0],[0 0 -1, (assuming a suitably chosen initial basis).


  • Closed Accounts Posts: 39,022 ✭✭✭✭Permabear


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  • Registered Users, Registered Users 2 Posts: 6,972 ✭✭✭doc_17


    Permabear wrote: »
    This post had been deleted.

    Ha!!!!! wonderful stuff lads. wonderful. He can't counter that I'm afraid!


  • Registered Users, Registered Users 2 Posts: 26,578 ✭✭✭✭Turtwig


    jimkekk wrote: »
    Did you know that hundreds of students attend his grind classes every week he is obviously doing something right .

    I don't know if the humourous suspicions about you are correct and frankly I don't really care. I'm only posting because these kinds of comments grind my gears.

    Businesses love to use the "x thousand people say otherwise" line when they are being scrutinised or criticised on some issue or another.Whether a statement or idea is true or false has nothing to do with the amount of people who believe in that idea. It's either true, or it isn't. The truth has no bearing on popular opinion, end of.

    As you are someone who claims to understand and have an experience in maths I find your comment above truly shocking.


    On topic : I'm pro PM.


  • Closed Accounts Posts: 12 TommyDoyle


    jimkekk wrote: »
    This thread is getting very personal and I think it is better for everybody (including me) to move on. At the moment it is the students that are important and nothing should be said or written that will upset them in any way.

    Do you think advising students, on national radio, to ditch the maths they had been studying for 2 years and switch to an exam they were unfamiliar with is the action of an individual who cares in the slightest about students? Hypocrite. P.s.Proving product rule using logs much nicer than delta x legendman.


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  • Registered Users, Registered Users 2 Posts: 2,481 ✭✭✭Fremen


    jimkekk wrote: »
    Ignore all the pious platitudes of the pro project maths lobby they are either people who have never taught maths or are in some ivory tower in 3rd level .
    jimkekk wrote: »
    I was a student of JB in the 80's . I now work at 3rd level but do a lot of leaving cert grinds .

    .


  • Registered Users, Registered Users 2 Posts: 13,031 ✭✭✭✭bnt


    If a report in the Irish Times today is any guide, Project Maths isn't working:
    Last year only 18 per cent of students took the new programme at higher level. This year 21 per cent have registered to take higher level in Project Maths but this is expected to drop on the morning of the exam.In the Dáil recently, Minister for Education Ruairí Quinn revealed that 20 per cent of students who registered to sit higher level maths in the Leaving Cert dropped down to ordinary level in 2010. This reflects concern among students that they could fail higher level maths, making them ineligible for many CAO courses. Last year more than 4,300 students failed maths at higher, ordinary and foundation level.
    Students are also reluctant to take higher level maths because it is regarded as tougher and more time consuming than other subjects.
    I didn't go through the Irish education system, so I didn't know that students could drop down to an easier exam at the last minute?

    Death has this much to be said for it:
    You don’t have to get out of bed for it.
    Wherever you happen to be
    They bring it to you—free.

    — Kingsley Amis



  • Moderators, Science, Health & Environment Moderators Posts: 1,851 Mod ✭✭✭✭Michael Collins


    bnt wrote: »
    If a report in the Irish Times today is any guide, Project Maths isn't working:

    I didn't go through the Irish education system, so I didn't know that students could drop down to an easier exam at the last minute?

    Yep. Bit crazy considering higher level and ordinary level courses are actually different (Simpon's Rule and Linear Programming are on OL but not HL, for example - I doubt even an A1 standard HL student could do these without practice) but this is an option students have alright.

    I wonder how much the media and people's general "maths is so hard" attitude has to do with it - if you keep hearing HL maths is "very hard" you'll probably just accept it, instead of working at it.
    In the Dáil recently, Minister for Education Ruairí Quinn revealed that 20 per cent of students who registered to sit higher level maths in the Leaving Cert dropped down to ordinary level in 2010

    :eek: I wonder how many of these decided on the day?


  • Registered Users, Registered Users 2 Posts: 6,972 ✭✭✭doc_17


    Most of that 20% drop down between the mock and the day of the exam. It's a fear of failing the higher level paper.


  • Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    Typical lazy journalism from Flynn.

    I guess the story as follows wouldn't be exciting enough:
    "Newsflash: numbers taking Higher Level Maths fairly stable over time. The latest shocking figures from SEC reveal that the proportion of students taking Higher level maths has remained consistently between 16% and 19% for the last 15 years."

    Ok., I'll admit there has been a discernible pattern of decline from the record high of 18.9% in 2005 to last year's 16.0%, but it's amazing to me that this small and gradual decline over five years has been protrayed as a catastrophic plummetting of interest and achievement in HL maths, while the fact that the 24 pilot schools have reversed it almost in its entirety in a single year of teaching only the first phase of Project Maths, is portrayed as a marginal increase and a disappointing failure!

    Anyway, while admitting that the small decline since 2005 is unwelcome, who would realise, from the reporting we've had over the last few years, that the last decade has seen the greatest level of uptake of HL maths in the history of the state? Or be aware that in the eighties and early nineties, while we were educating those who built the Celtic Tiger economy, we typically had about 10% doing HL maths.


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  • Moderators, Science, Health & Environment Moderators Posts: 1,851 Mod ✭✭✭✭Michael Collins


    ...I'll admit there has been a discernible pattern of decline from the record high of 18.9% in 2005 to last year's 16.0%...we typically had about 10% doing HL maths.

    I remember you said this before. I'm really very surprised about this relative stability in the numbers - not at all the impression I was given from the various media. Not that I doubt the truth of it, but can you point to a source for the percentages doing Higher Level during the 80s/90s?

    This story has been in the Irish Times every year for as long as I can remember. It will come around again comes results time in August...


  • Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    You can see the stats back as far as '93 of this report: http://www.examinations.ie/archive/examiners_reports/cer_2005/LCMathematics.pdf (pdf page 6; labelled page 5)
    It shows 11.2% for 1993.

    It gets a bit sketchy before then, but my recollection is that that was about the norm.

    For example, the stats for the 1980 Leaving Cert are in this report:
    http://www.education.ie/servlet/blobservlet/stats_statistical_report_1979_1980.pdf
    (Page 66 & 67 of the pdf, labelled pages 57 & 58)

    These show 3308 candidates at higher level and 34830 at ordinary, giving a 9.5% higher level uptake.

    It might take a bit of digging to fill in that gap a bit, but at 9.5% in 1980 and 11.5% in 1993, I'm fairly sure it wasn't too far from 10% throughout the eighties.

    Of course, the further back you go, the more you have to take account also of the proportion of people who didn't stay on to Leaving Cert at all.

    In absolute terms, we had two and a half as many people doing HL maths in 2010 as we had in 1980.


  • Closed Accounts Posts: 39,022 ✭✭✭✭Permabear


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  • Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    I agree that those conclusions are revealing, but I would find the existence of these comments in such a document encouraging in the following sense. To me, it indicates that the Chief Examiners are prepared to call it as they see it when necessary, rather than roll over and pretend everything is hunky dory.

    I agree that this report clearly does support the assertion that what students want is not to be challenged with unfamiliar problems. However, I don't see evidence that the examiners have capitulated to these desires. In my view, mathematics has remained a subject where you really do need to be able to think to get the top grades. How could the Chief Examiner say that the students are not as good at these trickier tasks as they should be, if there weren't any such tasks on the exam?

    Also, it's hard to say definitively that there is evidence here of an overall decline in the standard of the student population as a whole. The extract you quoted says that this issue was already commented upon in the previous report in 2000. So what we have here is that, following a period which saw a significant growth in the proportion of students taking higher level, the examiners noticed a decline in the proportion of higher-level students that displayed higher order thinking skills. Depending on how these two proportions compared to each other, this could mean that the prevalence of these skills in the population was largely stable.

    I'm not saying that standards have remained stable - I'm just saying that solid evidence to the contrary is thin on the ground. And it's known that people's perceptions are notoriously unreliable in such matters.

    On a subjective basis, if I compare, say, the last three or four years of exam papers to the first three or four after the change of syllabus, (i.e. 94-97), I can't see any evidence that they have become easier. (Maybe even a smidgoeon in the opposite direction.) Of course, I've no way of knowing whether the students are handling these papers worse now than then!


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Permabear wrote: »
    This post had been deleted.

    Doesn't matter what subject you're teaching or how interesting it is.
    When you have the institutional structure set up in such a way that
    the only thing that matters are points at the end of 2 years you are
    encouraging students to view their subjects these ways. There's no other
    way about it, a students future potentially hangs in the balance dependent
    on their ability to regurgitate answers to a set curriculum on one/two days
    at the end of 2 years whether they understand the material or not.

    I think its highly unfair to criticize the students for playing the game
    according to the rules the people who structure the curriculum allow
    for. If they didn't want to encourage the obvious regurgitation that has
    been prevalent in systems such as this one since their origin then they
    would change the structure of the system. If not then I think they are
    to blame, not the students. There are unintended but real consequences
    to every action, regurgitation on test day is one of them. A way to stop
    this would be to structure the system cumulatively or better yet to
    structure a system by which progression to the next topic is only achieved
    after mastery of the current topic - with time to go over the prerequisite
    material back from the junior cert if a student does not progress. This
    is basically the system I'm working on with my brother & for the first
    time in 5 years of school he's learning the material & not seeing it as
    memorization of disconnected facts. This goes for all subjects. Project
    maths is just a band-aid on a dysfunctional system & the makers are
    obviously aware of this considering how low the figures they hope to
    achieve with this system are ("An uptake of 30% at Higher level is
    targeted").

    If technology was adequately implemented a realistic system with figures
    to be proud of this could be realized. I could go on but I think it will fall
    on deaf ears, I'll bide my time :D Just don't like the continual blame put
    on students for playing the game according to the rules allowed for by
    the system.


  • Registered Users, Registered Users 2 Posts: 26,578 ✭✭✭✭Turtwig


    Doesn't matter what subject you're teaching or how interesting it is.
    When you have the institutional structure set up in such a way that
    the only thing that matters are points at the end of 2 years you are
    encouraging students to view their subjects these ways. There's no other
    way about it, a students future potentially hangs in the balance dependent
    on their ability to regurgitate answers to a set curriculum on one/two days
    at the end of 2 years whether they understand the material or not.

    I think its highly unfair to criticize the students for playing the game
    according to the rules the people who structure the curriculum allow
    for. If they didn't want to encourage the obvious regurgitation that has
    been prevalent in systems such as this one since their origin then they
    would change the structure of the system. If not then I think they are
    to blame, not the students. There are unintended but real consequences
    to every action, regurgitation on test day is one of them. A way to stop
    this would be to structure the system cumulatively or better yet to
    structure a system by which progression to the next topic is only achieved
    after mastery of the current topic - with time to go over the prerequisite
    material back from the junior cert if a student does not progress. This
    is basically the system I'm working on with my brother & for the first
    time in 5 years of school he's learning the material & not seeing it as
    memorization of disconnected facts. This goes for all subjects. Project
    maths is just a band-aid on a dysfunctional system & the makers are
    obviously aware of this considering how low the figures they hope to
    achieve with this system are ("An uptake of 30% at Higher level is
    targeted").

    If technology was adequately implemented a realistic system with figures
    to be proud of this could be realized. I could go on but I think it will fall
    on deaf ears, I'll bide my time :D Just don't like the continual blame put
    on students for playing the game according to the rules allowed for by
    the system.

    While I agree with some of what you're saying I don't think students should be free from the blame either. I'd take your point if we only had students who were intending to study maths as a passageway to achieve points to study a non math intensive course e.g History. However, if their choice of course is anything science, engineering, or math related then learning Maths by rote learning is just something that needs to be discouraged. Project maths is, I hope, really targeting this demographic. And as no student is ever guaranteed their particular first choice CAO I'd argue the last thing you want for an already stretched education system is a student who approaches a math based module or course with a learning by rote entrenched background. Old Habits die very hard.


  • Closed Accounts Posts: 39,022 ✭✭✭✭Permabear


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  • Registered Users, Registered Users 2 Posts: 7,484 ✭✭✭Brussels Sprout


    Permabear wrote: »
    This post had been deleted.

    This is simply human nature. People oppose change even if it's for their own good.

    There is no change that you could have made to the syllabus that wouldn't have had people complaining. I'm sure back in 2001 there was outcry when the new English curriculum came in and I can't even imagine what it must have been like when the 'new' points system came in back in the early 90s.

    It will take several years for this noise to die down and for real objective analysis of the impact of Project Maths to be carried out.


  • Registered Users, Registered Users 2 Posts: 6,972 ✭✭✭doc_17


    As well as reforming the curriculums I've always said that other things should be done in order to attract students to STEM courses at third level and increase the participation rate at HL LC
    1. target STEM courses for reduced (or elimated) registration fees.
    2. When fees return ignore STEM courses (or have lower fees for them)
    3. Bursary or Scholarships
    4. Make HL Maths compulsory for primary school teaching in the same way that Irish is.
    The first 3 suggestions are financial and a way to get students at least looking at Hi-tech courses. The last one might annoy people a bit but when it comes to picking who gains entry to a primary school teaching course we can afford to be picky - HL English, Irish & Maths should be required.


  • Closed Accounts Posts: 39,022 ✭✭✭✭Permabear


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  • Registered Users, Registered Users 2 Posts: 5,629 ✭✭✭TheBody


    Permabear wrote: »
    This post had been deleted.


    Couldn't agree more!!


  • Registered Users, Registered Users 2 Posts: 6,972 ✭✭✭doc_17


    I know in reality there are very few who get a D3 in OL Maths and go to become primary teachers but even allowing that to be possible is out of order. Anyone who gets a D3 in OL maths is awful at it. Should be higher C or at the very least an A in the OL paper


  • Closed Accounts Posts: 39,022 ✭✭✭✭Permabear


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  • Moderators, Education Moderators, Regional South Moderators Posts: 15,247 Mod ✭✭✭✭rebel girl 15


    Permabear wrote: »
    This post had been deleted.

    Why? You could be eliminating an extremely good educator who is poor at the maths required at second level, who like many other students is poor at maths simply because of nerves, and not being able to manipulate the information. Being realistic, I don't see any person achieving the points for primary teaching being so poor at maths and to be fair, anybody looking for primary would want to be getting well over a OL D3 so it should prob be raised. It would prob look better having the same maths and English requirement and higher than what it is.

    I think part of the problem lies within the primary sector, but more specifically with the 6th class/1st year divide

    The reason for PM was the drop in the PISA scoring and the outcry at the lack of students taking HL maths IMO
    PISA 2009 wrote:
    Ireland’s ranking in mathematics is 26th out of 34 OECD countries and 32nd out of 65 participating countries.

    that took Ireland from average score to below average - and it showed that Ireland had 1.2% less students at or below the average lowest level (Level 1) compared to the OECD average, similiar to UK and Poland, who achieved overall scores closer to the average (Level 1 looks at the most basic tasks and is considered to be below the minimum level needed to meet the mathematics demands of adult life and further education).

    What that says to me is that the students are coming out slightly better than the rest of the OECD countries at the most fundamental mathematical skills but there are much less students coming out at the more difficult levels of mathematical thinking and being. So it seems that the old course was managing to get across the required knowledge, so with some tweaking it would have been possible to increase those students at level 1 (basics as in above brackets) rather than a radical overhaul.

    6.7% of children managed to reach level 5 or level 6 (the most difficult tasks) compared to an OECD average of 12.7%. Thats where the problem lies - the students are not able to achieve the more difficult tasks.

    A big issue with curriculum design is the economy and how the schools produce students to meet the requirements within the economy. Correct me if I'm wrong, but the drive at the moment is to make Ireland a knowledge based economy. This seemingly "dumbing down" of the paper to increase the numbers taking higher level is wrong when the knowledge doesn't match up. They can come out and say we've had an increase in taking HL (which I don't think has happened anyway) but the knowledge won't be as high a quality as before (not sure quality is the right word here though)

    TBH, I think PM has been pushed through much too quickly, with not enough consultation and research being the biggest one. It had the potential to be great, but I think its a knee jerk reaction to figures taking the HL paper and is doing a disservice to the students who are extremely mathematical. I always found when doing my exams, that of all the LC subjects, maths was the one that you could not learn off for - you needed to practise the questions and be able to manipulate the questions to do well in unless you had a great natural mathematical ability.

    Thats my impression of the things anyway, though I'm always wary of figures and how they can be influenced! I'm gonna be teaching it next year to first years, and I'll go in with an open mind anyway. Plenty of reading over the summer!!

    http://www.erc.ie/documents/pisa2009_mathematics_dec7_2010.pdf is the link to the report.


  • Closed Accounts Posts: 39,022 ✭✭✭✭Permabear


    This post has been deleted.


  • Moderators, Education Moderators, Regional South Moderators Posts: 15,247 Mod ✭✭✭✭rebel girl 15


    Permabear wrote: »
    This post had been deleted.

    Totally agree with you here - I think we're both on the same wavelength, you put it more eloquently than me, but its basically the same idea as I had above :D

    Advanced Maths would be a fantastic idea, I had originally looked at maybe bringing in PM as a gap between HL and OL maths, but bringing in a new subject would be ideal and much better. A proper course could be implemented for those people who want to do it, and I agree with the bonus point idea. If introducing that subject, the research should look at the content of the first year math courses in Irish universities, and maybe base it upon that to provide a route for the students into the mathematical courses in universities.


  • Closed Accounts Posts: 3 S.K23


    Hello, I'm a student who just sat the Project Maths Paper 1 today,
    Although I'm not think of going into a career in Mathematics I find it very interesting.
    However, the new course is terrible.
    The way its being taught in schools and the materials we have to study from.
    There was a project maths workshop held a while ago and it seemed that we were at an advantage as students in our school seemed to understand maths in general. Since the results will always follow the "bell shaped curve" we were relieved to find that we were as not as bad at adapting to the new course.

    I personally believe that there should have been much more preparation made before the course was released. The fact that we never leard how to apprach questions ( QUESTON 5 2011 L.C) make it extremely difficult. From what I've heard, we had the same differentiation and integration questions as the old course. Questions 1-4 I'm positive I got a +90%.
    What really frustrates me is that WE have been told that sample paper of 2011 will be very much similar to what our exam was going to be like.
    The only difference as I see it is question 5 and question 6.
    We all expected some sort of NET question to come up, or at least something to do with area, volume, etc.
    The fact that the teachers don't really know what the course actually consists of, it is very frustrating. They always say "WE ARE TOLD."

    I'm sorry if this is offending any of the Project teachers but your lives won't have much effect because of this. OURS WILL.
    We are treated like GUINEA PIGS.

    Question 5 is one that people who have the ability to think along those lines were able to answer correctly. Problem solving. Not necessarily maths. It was like one of those mensa quizzez, but what do I know about maths.

    How in your opinion do you think this particular question will be marked?

    We were never told that such a question was on the course. We don't expect to know whats coming up, obviously, but what I expect is that students should know whats ACTAULLY ON THE COURSE.


  • Closed Accounts Posts: 3 S.K23


    ALSO I would like your opinion of the fact that despite the fact that we dont have proper materials to prepare for our exams, extra points start next year.
    OR is this just LIFE?
    AN Irish one?


  • Posts: 0 CMod ✭✭✭✭ Lachlan Sweet Tummy


    S.K23 wrote: »
    ALSO I would like your opinion of the fact that despite the fact that we dont have proper materials to prepare for our exams, extra points start next year.
    OR is this just LIFE?
    AN Irish one?

    You're complaining about the opportunity of getting bonus points?


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  • Registered Users, Registered Users 2 Posts: 26,578 ✭✭✭✭Turtwig


    This is strange. Alot of teachers and students apparently appear convinced the perceived higher difficulty of today's Higher Level Paper I was because they wanted to make Project Maths look good. Rubbish if ever I heard it, but a striking number of people seem to be holding that theory. :confused:

    Just had a gander at both papers now. Apart from Question 4 and 7c I don't see anything too difficult on the regular paper. Malty LC student would definitely have been thrown by question 4 as that was nearly always regarded as the easiest question by me at the time and coincidentally the topic I struggled at for ages in college. 7c is an odd one, on the one hand it's probably easier than normal but on the other hand it's actually a 'new' type of question. Anyways it was a 'c' question so I don't think it was too unfair.

    The project maths one I can't really comment too accurately on because I don't know the syllabus all that well. It looked fair enough. (I actually thought Q6 was brilliant and has probably sold me completely now on PM :o (Mainly because Malty LC would have struggled his ass through it.).)


  • Moderators, Science, Health & Environment Moderators Posts: 1,851 Mod ✭✭✭✭Michael Collins


    bluewolf wrote: »
    You're complaining about the opportunity of getting bonus points?

    They won't be introduced until LC 2012. So yes, you're out of luck S.K23 I'm afraid.


  • Closed Accounts Posts: 3 S.K23


    NO,
    I'm complaining about the fact that project maths students were put at a disadvantage,
    so we should have recieve something to balance it out.... make us in the same position as the students doing the old course,
    the only thing that allowed that was the sample paper 2011 which was a base model for 2011 L.C paper1,

    in the end even that was taken away from us,
    Some people actually need to do well in maths..
    you know, to go into college and stuff,

    Typical Ireland,
    Theres a reason why Ireland is going down hill,
    lack of preparation for what you do is one of the main things Irish people need to get straightened out first, and PROJECT MATHS IS AN EXAMPLE OF SUCH LACK OF PREPARATION,


  • Registered Users, Registered Users 2 Posts: 3,745 ✭✭✭Eliot Rosewater


    In fairness S.K23, one of the goals of Project Maths is (thankfully) a move away from rote learning and studying for your exam principally on the basis of what usually comes up.



    The failure of the rote learning model was never more evident than in the reaction to yesterday's regular maths exam. Many complained about 7(c)(ii), the question with the graphs. From a conceptual point of view it's an easy question. f'(x) is always negative, so it can't be C as C is increasing. If f'(x)=g'(x) then f and g differ by a constant so it can't be B. So it must be A. The fact that students found this question so difficult is evidence, in my opinion, that there is not enough conceptual understanding.

    Ditto for 7(b)(ii). People complained that you had to find dy/dx in terms of x (and not t). This threw them off. Why? Finding it in terms of x merely involved rewriting the equation
    [LATEX]\displaystyle x=\frac{t-1}{t + 1}[/LATEX]
    in terms of t and subbing in. Is that really that hard?

    My sister sat this paper and she is an example of the type of student mentioned in the Chief Examiner's report Permabear quoted. She struggled with any question that deviated a little bit from the norm. And not out of time considerations: she attempted all eight questions. In 4(b)(ii) students were asked to construct a series using a simple equation

    [LATEX]\displaystyle a_k = u_k + u_{k+1}[/LATEX]

    (u_k is given). My sister didn't even attempt this. And she's not a bad student by LC standard: she's one of the top of her class and aiming to get an A1 in maths and study it in college next year.

    The Project Maths paper is, in my opinion, an improvement in attitude. I was impressed with the paper yesterday. I still have severe reservations about its difficulty (or lack thereof) for more advanced students.


  • Registered Users, Registered Users 2 Posts: 3,038 ✭✭✭sponsoredwalk


    Malty_T wrote: »
    This post had been deleted.

    I hope you don't think I was arguing that learning by rote was a good
    thing! What I was saying was that learning by rote is encouraged under
    both the old & new syllabus. Obviously project maths is designed so as
    to reduce the learning by rote approach but the structure of the system,
    which I distinguish from the syllabus, is designed so as to reward learning
    by rote regardless of whether a student knows the material or not. It's
    madness to teach students how to deal with trigonometric graphs if they
    can barely graph quadratic functions but that happens, that's a big part
    of why students don't understand the material - they are doing all this
    new stuff without the foundation to do it. The current model of teacher
    & blackboard simply can't change that, there's no way a teacher could
    stop every 30 seconds to help a student who is confused about step 3
    & then lost for the rest of the class because the teacher can't go back
    30 pages to show him/her why this makes sense. At best it causes the
    learning by rote of what seem like disparate facts unless a student can
    make the connection. Obviously they don't, I certainly didn't back then.
    Obviously there are many more reasons than just lacking the foundations
    but I think they all can be explained in a way that illustrates why the
    current system prevents these issues from being corrected.
    Permabear wrote: »
    This post has been deleted.

    I understand that, my comment was not about the fact that they changed
    the syllabus or that they need to change the syllabus. My comment was
    about the structure of the system in which the syllabus operates. The
    current system is the reason why comments such as this:
    S.K23 wrote: »
    The fact that we never leard how to apprach questions ( QUESTON 5 2011 L.C) make it extremely difficult.

    ...


    We were never told that such a question was on the course. We don't expect to know whats coming up, obviously, but what I expect is that students should know whats ACTAULLY ON THE COURSE.

    exist. The system as it stands requires students to worry themselves sick
    about what may or may not come up. I know the purpose of education
    is to learn everything so that you don't need to worry about what's
    coming up, ideally you should know all of it, but again the sad fact is
    that most students don't. This is why the 20-30% is considered optimal,
    it's recognition of the fact that most students aren't learning everything.
    I think people really believe that it's a question of intelligence & just
    accept it, maybe that's wrong but it doesn't matter what rationalization
    people are using. The fact is that 20-30% is considered optimal, maybe
    not possible, & students are forced to learn how to approach questions
    & memorize patterns based on past papers instead of how to approach
    the material. It doesn't matter how interesting the material is:
    S.K23 wrote: »
    your lives won't have much effect because of this. OURS WILL.

    Again I don't blame anybody in particular, don't take this as some
    criticism of teachers or project maths. As far as I can see all that
    project maths has done in the eyes of many students is to make it
    harder to have a future because they're going to learn the material
    in more or less the same way, hopefully it will be a bit more intuitive,
    but still it's mostly the old way (so you'll expect the old results, maybe
    a bit better). Still the general rules are the same so I just said it was
    highly unfair for criticizing students for playing the game according to
    the rules that the people who structure the curriculum allow for. If you
    want students to stop worrying about what may or may not come up on
    test day then creating a new test isn't exactly the smartest thing to do.

    The model of both the education & examination process needs to be
    fundamentally revised, modern technology has made it possible but
    I really do not believe it has been exploited to it's full capabilities yet.
    Project maths maybe good for some students but w/ an optimal 30%
    expected from PM means 70% are excluded.



    I know from firsthand experience that the videos on khanacademy aren't
    good enough for everything but they are a brilliant start, imagine a
    really comprehensive & non-restricted version of what he discusses was
    being implemented in some schools in the US, I think that, properly
    developed & implemented, would solve students problems comprehending
    the material. 30 Kids to a class with laptops doing videos with a teacher
    free to guide students can't fail, properly done. That only leaves the
    institutional structure as it pertains to a students future to fix it's very
    easy to see how this is possible if you work within some kind of model
    as described above. Obviously studies would need to be done but I don't
    to see how this model would fail if properly implemented. Any thoughts?


  • Registered Users, Registered Users 2 Posts: 200 ✭✭mulciber


    I know from firsthand experience that the videos on khanacademy aren't
    good enough for everything but they are a brilliant start, imagine a
    really comprehensive & non-restricted version of what he discusses was
    being implemented in some schools in the US, I think that, properly
    developed & implemented, would solve students problems comprehending
    the material. 30 Kids to a class with laptops doing videos with a teacher
    free to guide students can't fail, properly done. That only leaves the
    institutional structure as it pertains to a students future to fix it's very
    easy to see how this is possible if you work within some kind of model
    as described above. Obviously studies would need to be done but I don't
    to see how this model would fail if properly implemented. Any thoughts?

    Hi,

    I'm a long time reader of this thread, first time poster. :D I have just finished Transition Year and am now on my summer holidays. I have been using Khanacademy during the holidays to keep up my maths skills. I think kahnacademy is fantastic as it has given me a way to keep up with my maths over the holidays and I believe that this is the future of education. The website has many resources on in including maths exercises that can be related to some of the Leaving Cert maths curriculum (Can slightly differ because it's an american website). It also has many other subjects such as business, history, biology, physics, chemestry, astrology andmaybe a few more that I can't recite. That's my 2 cents on kahnacademy, I reccomend that you give it a try.

    Now, to get back onto topic. I've just finished TY, I'm on my summer holidays and I'm going into 5th year next year. I'm a maths enthuiast, I enjoy doing maths, it's my favourite subject but, at the moment, I don't like project maths. The reason I don't like it is because it's disrupting the system. I can't seem to be able to find a clear and concise curriculm leading up to the 2013 Leaving Cert Maths exam and it's really throwing me off. I was planning on starting my maths study now so that I could have a good chance of succeeding in my exams but, due to the implementation of project maths, I have no idea about what I should be learning. I have asked a few maths teachers and even they can't tell me what I'm supposed to be learning.

    I can see the motives for project maths and, yes, it'll probably work out in the long run but, at the present time, it is creating disorientation among a lot of young people and I would just like stability so that we know what to study and so we know what will be appearing in our Leaving Cert Exams because people seem to forget that this is our future that we are talking about.

    Thanks for reading,

    Robert.


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  • Closed Accounts Posts: 23,316 ✭✭✭✭amacachi


    The Project Maths paper is, in my opinion, an improvement in attitude. I was impressed with the paper yesterday. I still have severe reservations about its difficulty (or lack thereof) for more advanced students.

    I really can't believe they're trying to deny just how simple the reworked syllabus is. I wouldn't be particularly strong at maths and it's a few years since I did much but there was one part of one question that I would have struggled with in PM this year.

    Agreed on the moaning about that question, isn't that just a parametric type that they put up all the time except this year it was spelled out for them exactly what to do?


  • Registered Users Posts: 4 7Vecrophiliac


    mulciber wrote: »
    Hi,

    I'm a long time reader of this thread, first time poster. :D I have just finished Transition Year and am now on my summer holidays. I have been using Khanacademy during the holidays to keep up my maths skills. I think kahnacademy is fantastic as it has given me a way to keep up with my maths over the holidays and I believe that this is the future of education. The website has many resources on in including maths exercises that can be related to some of the Leaving Cert maths curriculum (Can slightly differ because it's an american website). It also has many other subjects such as business, history, biology, physics, chemestry, astrology andmaybe a few more that I can't recite. That's my 2 cents on kahnacademy, I reccomend that you give it a try.

    Now, to get back onto topic. I've just finished TY, I'm on my summer holidays and I'm going into 5th year next year. I'm a maths enthuiast, I enjoy doing maths, it's my favourite subject but, at the moment, I don't like project maths. The reason I don't like it is because it's disrupting the system. I can't seem to be able to find a clear and concise curriculm leading up to the 2013 Leaving Cert Maths exam and it's really throwing me off. I was planning on starting my maths study now so that I could have a good chance of succeeding in my exams but, due to the implementation of project maths, I have no idea about what I should be learning. I have asked a few maths teachers and even they can't tell me what I'm supposed to be learning.

    I can see the motives for project maths and, yes, it'll probably work out in the long run but, at the present time, it is creating disorientation among a lot of young people and I would just like stability so that we know what to study and so we know what will be appearing in our Leaving Cert Exams because people seem to forget that this is our future that we are talking about.

    Thanks for reading,

    Robert.

    Ye, im in the same boat as u(except im a 5th year repeat).But, I can give u some advice.LC 2013, will be project maths phase 2; which means that paper one and paper 2 will be altered.The only thing that doesnt change is Diffrenciation 1&2 and intgreation,until of course phase 3 for 2014.So, if u want to learn sumthing over the summer u can use all the marking schemes up on SEC for questions 6,7 & 8(for the old syllabus) and Khanacademy material on calculus.This is not the same for algebra,stats and well everything else on the course;because each topic has radically changed(except for questions 6,7&8),for ecample compare say ....... PM paper for 2011 with old syllabus paper 2009.Of course you could simply buy all the new PM maths books out there.............. but id say u dont have a school book list and u dont want to buy anything ur teacher wont use.

    P.S project maths sucks............. its no longer true mathematics ..... its simply a **** load of stats and learning Laws..... e.g why is the root of 3 not a rational number.Its kinda of like physics.


  • Registered Users, Registered Users 2 Posts: 26,578 ✭✭✭✭Turtwig


    Now I really gotta ask are you insinuating that physics sucks?:mad:


  • Closed Accounts Posts: 6,081 ✭✭✭LeixlipRed


    Ye, im in the same boat as u(except im a 5th year repeat).But, I can give u some advice.LC 2013, will be project maths phase 2; which means that paper one and paper 2 will be altered.The only thing that doesnt change is Diffrenciation 1&2 and intgreation,until of course phase 3 for 2014.So, if u want to learn sumthing over the summer u can use all the marking schemes up on SEC for questions 6,7 & 8(for the old syllabus) and Khanacademy material on calculus.This is not the same for algebra,stats and well everything else on the course;because each topic has radically changed(except for questions 6,7&8),for ecample compare say ....... PM paper for 2011 with old syllabus paper 2009.Of course you could simply buy all the new PM maths books out there.............. but id say u dont have a school book list and u dont want to buy anything ur teacher wont use.

    P.S project maths sucks............. its no longer true mathematics ..... its simply a **** load of stats and learning Laws..... e.g why is the root of 3 not a rational number.Its kinda of like physics.

    Please use proper grammar and punctuation, this is an internet forum not a text message.

    Also why is root 3 not a rational number is neither statistics nor learning a law, contradiction much?


  • Registered Users Posts: 4 7Vecrophiliac


    LeixlipRed wrote: »
    Please use proper grammar and punctuation, this is an internet forum not a text message.

    Also why is root 3 not a rational number is neither statistics nor learning a law, contradiction much?

    Ye,sorry.I was a bit rushed, the 'P.S' part is a bit of a contradiction.

    I guess what im trying to say about project maths is that its kinda like a Hard version of the JC.Its the type of exam that insists on the candidate to be able to think on his feet; but in terms of translating english into maths and writing some answers in sentences.For example, take a look at 2011-section B and maybe question 4.Best example is the gold carat rating question,its an algebra question that takes alot of logical thinking, (trying to find out what every sentences means in terms of math) but the operations or calculations of the question are rather basic (mainly simple simultaneous equations and ratios).Furhermore, its about 1 A4 page long.

    Now, compare this to 2008 question 1.The language is very straightforward its 50 marks and its only 3-5 lines.This is the type of question that puts alot of influence(sorry if its bad english) on the amount of material you have learned (e.g proving identities,cubic equations and rational functions).The operations are much harder to do; but its straightforward and there isnt alot of 'language'.

    Lastly, if you take this into account along with the fact that matrices and vectors are gone; then project maths begins to beg the question -'Is it better to make LC maths have alot of learning and what i think is more mathematical reasoning e.g Abstract inequalties, matrices, factor theorems and quadratic equations (alpha and beta) or is it better make simple operations e.g simultaneous equations and simple quadratic equations have alot of english and logical reasoning(in terms of translating english to maths)?'

    I now i only looked at algebra, but i think this is a good enuf example.


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  • Registered Users Posts: 4 7Vecrophiliac


    Malty_T wrote: »
    Now I really gotta ask are you insinuating that physics sucks?:mad:


    No, i didnt mean to insuate that.


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