Transcript Pope

Mathematics Update for HoDoMS
BETT, Thursday 15 January 2009
1
Develop a modern, world-class curriculum
that will inspire and challenge all learners
and prepare them for the future
Engaging mathematics for all learners
To articulate ways of making the new secondary curriculum
opportunities for mathematics available to all learners
• Video case studies
• Guidance for teachers
• Teachers’ TV programmes in the autumn
..\..\My Documents\project plans\E&E\video case studies\02 Comberton (Ropes) v4_512K.wmv
KS3 National tests have gone – what do you do?
• Administer the NAA tests as you did last year
• Enter Y9 for a functional skills assessment
• Start KS4 early with a view to early entry for
GCSE
• Use the NAA tests as a TLA resource
• Devise a five year learning journey for
secondary mathematics
Changes to GCSE
New assessment objectives:
Changes to GCSE
How questions will change:
• Less structure
• Choice of approaches
• Link areas of mathematics
New pilot of a pair of GCSEs
•
•
•
•
•
•
•
Each is distinctive and of comparable demand
Together cover the programme of study
3 year pilot beginning 2010 alongside new GCSE
Independent evaluation
Ministerial decision about roll out (2015 at the earliest)
ACME and JMC involved in development
All three Unitary Awarding Bodies to offer pilot pair
Single GCSE
Ofqual permitted overlap
30%
Number, algebra, geometry, …
Distinctive content
Applications of mathematics
Methods in mathematics
Statistics, measures
Algebra, geometry,
probability
Additional distinctive content
Applications of mathematics
Methods in mathematics
Financial & business applications
Algebra, proof, tiling
Linear programming
Two GCSEs
Applications of Mathematics
Methods in Mathematics
Why change level 3 mathematics?
• All other GCEs were reviewed in 2006 to assess concerns
about the burden of assessment and stretch and challenge
• The multiplicity of routes to GCE mathematics, whilst
statistically equivalent are not perceived equal by end users
• It is possible to get an a level with four AS and just two A2
units, consequently A* will be based on just C3 and C4 (first
award in summer 2010)
• The current AOs don’t work, especially AO2 (proof) which
doesn’t get assessed and two very small AOs
• There is a complex grading system in place for mathematics
and further mathematics because of the shared applications
units
Changes to Level 3 mathematics
Imperatives: rationalise provision, widen participation
Consultation will begin in April 2009
Separate criteria for
• AS/A level mathematics
• AS/A level further mathematics
• AS/A level use of mathematics
• AS/A level use of statistics
• Level 3 free-standing mathematics qualifications
(FSMQs)
GCE mathematics
• GCE AS and A level mathematics should be stand-alone
qualifications with no units shared with further mathematics
• GCE A level mathematics should consist of four units (two at
AS and two at A2)
• The pure mathematics content should be prescribed and
remain generally as at present
• The applications content should be prescribed, covering
aspects of mechanics, statistics and decision mathematics,
and build on the pure content, particularly at AS
• There should no longer be a requirement for a non-calculator
paper
• There should be a greater emphasis on problem solving,
modelling and mathematical communication
GCE further mathematics
• GCE A level further mathematics should remain at six units (to
minimise disruption to the teaching of further mathematics and the
work of the Further Mathematics Network)
• There should be one unit's worth of common pure content at AS and
at A2
• Students should continue to select from a wide range of pure
mathematics and applications units to meet their own needs
• There should be a greater emphasis on problem solving, modelling
and mathematical communication
• The content of GCE AS level further mathematics will not be
dependent on the content of GCE AS level mathematics, to allow
concurrent teaching
GCE Use of …
Mathematics
Statistics
AS: algebra and 2 AS FSMQs
AS: controlled assessment unit
and 2 AS statistics FSMQs
A2 controlled assessment,
calculus FSMQ and another
A2 FSMQ
A2: controlled assessment unit
and 2 A2 statistics FSMQs
FSMQs available at AS and A2 in statistics, mechanics,
financial applications, discrete mathematics, …
Emphasis on developing understanding through application
Issues for the consultation
• Should GCE mathematics and further mathematics be
separate?
• Should AEA or an equivalent be developed for the new suite
of qualifications?
• Should A level Use of Mathematics continue as a pilot
qualification?
• Should GCE statistics be replaced with GCE Use of Statistics
requiring controlled assessment at both AS and A2?
• Will the proposals provide a coherent set of pathways for level
3 mathematics?
• Will the proposals increase participation in mathematics at
level 3?