Definitions in statistics.

Axioms,Theorems,constuctions in geometry. All the new material is rote learning based. ]]>

(i)The syllabus is wrong too much Geopmetry and statistics and too little Calculus.

(ii)The “new” teaching methods are wrong problem based learning has been shown not to work ,Medical schools in Scotland have abandoned it!Findland which embraced problem based learing in 2003 stopped using the method in 2007.

(3)The NCCA the people who are in charge of implementing project maths are out of touch with reality that recent sample papers produced by the NCCA were rejected by SEC (state examinations commission) in fact the SEC insisted that they be removed from the NCCA website. ]]>

David, for completeness I might list what’s gone (some of it I would not be upset about especially towards the end of the list):

Limits of functions, rules for sums, products and quotients.

Differentiation from first principles of all but linear and quadratic functions.

Derivatives of inverse tan and inverse sine.

Application of derivative to finding tangents of curves.

First derivatives of implicit and parametric functions.

Curve sketching using points of inflection, turning points and asymptotes.

Newton-Raphson.

ALL integrals other than integrals of polynomials and exp(kx).

Integration by substitution.

Integration by parts.

Ratio Test.

Taylor/Maclaurin Series.

ALL material on matrices, including uses for solving equations and in coordinate geometry.

ALL material on vectors.

ALL material on difference equations.

Parametric equations of line and circle.

Transformation geometry.

Telescoping series. Sum of n^2. Sum n*x^n

Derivations of some of the double angle formulae in trigonometry.

ALL group theory.

Ellipses (coordinate geometry).

]]>(The broken link from the NCCA Project Maths webpage at

http://ncca.ie/en/Curriculum_and_Assessment/Post-Primary_Education/Senior_Cycle/

needs to be updated.)

]]>Copying the relevant learning outcomes below.

At Ordinary Level students should be able to:

− find first and second derivatives of linear, quadratic and cubic functions by rule

– apply differentiation to

• rates of change

• maxima and minima

In addition Higher Level students should be able to:

− differentiate linear and quadratic functions by first principles

– differentiate the following functions

• polynomial

• exponential

• trigonometric

• rational powers

• inverse functions

• logarithms

− find the derivatives of sums, differences, products, quotients and compositions of functions of the above form

− apply the differentiation of above functions to solve problems

− recognise integration as the reverse process of differentiation

− use integration to find the average value of a

function over an interval

− integrate polynomials and exponential functions

− determine areas of plane regions bounded by polynomial and exponential curves

]]>Accordingly I am temporarily placing these documents amongst my own web pages for a short period.

Old syllabus: http://www.maths.tcd.ie/~dwilkins/tmp/lc_maths_sy.pdf

New syllabus: http://www.maths.tcd.ie/~dwilkins/tmp/LC_str1-5_sep10_ex12.pdf

I should be deleting these documents from my web pages at some point in the future.

I believe that the Project Maths syllabus ought to have been available from the following broken link:

]]>All attempts to retrieve the Project Maths syllabus from the NCCA website current lead to the following:

HTTP Error 404 – File or directory not found.

My memory of some previous email correspondence is that Strand 5 is to include some calculus. This strand is apparently the last to be developed.

It seems unfortunate that the NCCA seems so coy as to what it indends in this area.

]]>bah… that should have read “Our host told us…”

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