the renewed secondary framework for mathematics 26 th june 2008 subject leader development meeting
TRANSCRIPT
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The RenewedSecondary Framework for Mathematics
26th June 2008
Subject Leader Development Meeting
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Outline
Exploring the renewed frameworkMaking the links with process objectivesA case study - range and content - processesResources to support planningUpdates
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Aims of the day
• Launch the renewed Framework website and show the interactive planning tool
• Provide opportunities to plan with peers
• Promote strategies to support embedding New Secondary Curriculum in teaching and learning
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Ways of working in mathematics
The learners rated 16 behaviours, the teachers rated 20.
Each statement was rated on this scale:
1 hardly ever
2 occasionally
3 half the time
4 most of the time
5 almost always
In a recent UK survey learners and teachers were asked about how they worked in mathematics lessons.
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Learner views
Top 4 Bottom 47 The teacher tried to
prevent us from making mistakes by explaining everything carefully first
6 The teacher showed us how topics link together
1 The teacher asked us to work through practice exercises
3 The teacher showed us which method to use, asked us to use it
4·15
4·14
3·88
3·85
4 The teacher let us choose which questions we do
16 The teacher jumped between topics as the need arose
13 The teacher showed us just one way of doing each question
2 The teacher expected us to work on our own, asking a neighbour from time to time
2·61
2·68
2·76
3·01
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Teacher views
Top 4 Bottom 46 I draw links between topics
and move back and forth between topics
15 I encourage learners to make and discuss mistakes
9 Learners learn through discussing their ideas
10 Learners work collaboratively in pairs or small groups
3·91
3·66
3·64
3·44
13 I only go through one method for doing each question
8 I tend to follow the text book or worksheets closely
3 Learners use only the methods I teach them
4 Learners choose which questions to tackle
1·66
1·96
2·32
2·43
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Comparing views 7
6
1
3
12
15
14
8
9
5
10
11
2
13
16
4
teacherlearner
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What about your department?
We all like to think that we are teaching students to the best of our ability and in the most effective and engaging way as they allow, but do our students see it like this?
How can we align the thoughts of staff AND students to work towards a shared understanding of good teaching and learning?
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The renewed framework
What is there for you?
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Aims
• Make links between the renewed PoS and the Framework
• Consider progression in MPA across KS3
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Website: www.standards.dcsf.gov.uk/secondary/frameworks/
Subjects then
Maths
PlanningTool
download
Areas ofthe Framework
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Framework introduction
4 intial sections:
Overview: the 5 strands of progression
About Framework learning objectives
Introduction to the learning objectives
Mathematics learning objectives
Probably the areamost likely to be visited,
at least initially
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Framework introduction – APP messages
Middle Schools
Rollout summer/autumn 08 following the primary model.
High/Secondary Schools
Rollout spring 09 following a RE-VERSIONED secondary model.
There is APP material within the Framework. However, it is very likely to be amended
prior to official secondary rollout.
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The cycle of key processes
Representing
InterpretingEvaluating
Use proceduresAnalysing
Use reasoning
CONTEXT
MATHEMATICS
CommunicatingReflecting
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QCA interpretation
Representing
Use reasoning
Analysing
Use procedures
make connections within mathematics
visualise & work with dynamic
images
use knowledge of related problems
explore the effects of varying values & look for invariance and covariance
reason inductively & deduce
make & begin to justify conjectures and generalisations, considering
special cases & counter-examples
work logically towards results & solutions, recognising the impact of
constraints & assumptions
appreciate that there are a number of different techniques that can be
used to analyse a situation
take account of feedback & learn from mistakes
identify & classify patterns
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QCA interpretation
Representing
Use reasoning
Analysing
Use procedures
make connections within mathematics
visualise & work with dynamic
images
use knowledge of related problems
explore the effects of varying values & look for invariance and covariance
reason inductively & deduce
make & begin to justify conjectures and generalisations, considering
special cases & counter-examples
work logically towards results & solutions, recognising the impact of
constraints & assumptions
appreciate that there are a number of different techniques that can be
used to analyse a situation
take account of feedback & learn from mistakes
identify & classify patterns
make & begin to justify conjectures
& counter-examples
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QCA interpretation
Representing
Use reasoning
Analysing
Use procedures
make connections within mathematics
visualise & work with dynamic
images
use knowledge of related problems
explore the effects of varying values & look for invariance and covariance
make & begin to justify conjectures and generalisations, considering
special cases & counter-examples
work logically towards results & solutions, recognising the impact of
constraints & assumptions
appreciate that there are a number of different techniques that can be
used to analyse a situation
take account of feedback & learn from mistakes
identify & classify patterns
make & begin to justify conjectures
& counter-examples
work logically towards results & solutions, recognising the impact of
reason inductively & deduce
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Key messages
• Coverage of all process statements over the key stage
• Yearly objectives support progression across the key stage
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A case study
A model of good practice
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Aims
• to have a model for auditing your existing curriculum
Range & contentProcesses
• to decide on strategies and priorities for developing your KS3 SoW
• to identify action points for when you are back in school
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Planning for progression
extY11Y10Y9Y8
A/A*L7/8L5
Y11Y10Y9Y8Y7
BL6L4
Y10Y9Y8Y6/7Y5/6
E/D/CL4/5L2/3
GCSEY11Y10
KS3Y9Y8Y7
KS2
level
obj
level
obj
level
obj
Set 1extension
Set 2core
Set 3support
What will it look like for you?
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How are you doing?
Your progress so far…• Inset in school?• Collaboration in team?• Collaboration in network?• Audit for content?• Audit for processes?• Amendments?• Plans in the pipeline?
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A case study:
• Skim read the whole case study• Read in detail down to “Designing units-
range and content issues”
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Auditing against Line of Progression
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Always, sometimes, never?
• Place the statement cards under the correct heading “always, sometimes or never true”
• Make sure you can justify your decisions, using counter-examples etc.
• Join up pairs-to-fours to discuss your decisions
• Using the Yr 8 process cycle sheet, agree on the process skills used in this lesson/unit
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Progression in process skills
Increase the challenge & build progression by
• increasing the complexity of the application, e.g. non-routine, multi-step problems, extended enquiries
• reducing the familiarity of the context, e.g. new context in mathematics, contexts drawn from other subjects, other aspects of pupils’ lives
• increasing the technical demand of the mathematics required, e.g. more advanced concepts, more difficult procedures
• increasing the degree of independence and autonomy in problem solving and investigation
Increase the challenge & build progression by
• increasing the complexity of the application, e.g. non-routine, multi-step problems, extended enquiries
• reducing the familiarity of the context, e.g. new context in mathematics, contexts drawn from other subjects, other aspects of pupils’ lives
• increasing the technical demand of the mathematics required, e.g. more advanced concepts, more difficult procedures
• increasing the degree of independence and autonomy in problem solving and investigation
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Reading images
Process lesson – choose one photo
• Layer 1: What maths can you see?• Layer 2: Write a related problem (use sentence stems)• Layer 3: What maths skills are now needed?
• Formalise the strategy
Our pictures from: http://www.guardian.co.uk/inpictures eyewitness
How could you use this in school?
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Analyse for gaps /insufficient challenge
Audit Range & Content against Lines of Progression
Key messages
Fill gaps (& relate to Process Skills)
Analyse for gaps /explicit development of Process Skills
Audit Range & Content against Process Skill statements
Fill gaps (& relate to Range & Content)
Old SoW
New SoW
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Action points for back at school:
• Decide where you are in your dept in comparison to the case study
• Draft out a plan of what you need to do and by when
• Decide on who is going to work on what…
• Decide on any further training needs in the short/medium term.
• Back at 1.25!
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Aims of the afternoon
• to know the breadth of available resources• to preview samples of the resources• to consider how to match them into your
curriculum
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Rich tasks:The Enrichment Pack
A Worcestershire resource
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The Enrichment Pack
What does it include?Pupil activities with teachers notes on their use, and solutions.Links from medium term plans.Process statement mapping.
What is it?A resource created within Worcestershire to support the incorporation of opportunities for the development of process skills.
Where is it?On your USB, and ultimately on Edulink. Future updates will only be on Edulink.
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Possible or impossible
In 4s:work through the activityrecord process skills on blank lesson planmake lesson notes if you wish
Share thoughts and ideas on your table
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Process Statement mapping
How ‘Possible or impossible’ fits into:MTPsMapping document
Explore for yourselves!
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edulink.networcs.net
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Rich tasks:nrich, Bowland Trust
Sources of fresh ideas
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www.nrich.maths.org.uk
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Curriculum mapping
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Process skills mapping
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Packages
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Bowland Trust
• As
dvd will not be available until August
for materials:www.bowlandmaths.org.uk
Bowland Player then Case Studies
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Mystery Tours
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Sprinklers
• Choose one of the two short activities.• What information on the sheet will help you solve
the problem?• How much of the problem can you solve in 10
minutes?
Consider how you would use this in school.
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Seen it before?
• Standards Box• Maths4Life folder• Tarsia jigsaw software• Problem Solving Pack• Interacting with mathematics at Key Stage 3• ATM resources• NCETM website• Tarquin resources
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Bits and Pieces
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Your new KS3
IS NOT• What you teach
IS• How you teach
• Do some investigations
• Maths leader amends SoW
• Add in a rich task at the end of each unit
• Use rich tasks to develop understanding• Write some process
references in the SoW• Integrate & embed the
processes in teaching
• Audit the SoW for processes then adjust
• Collaborative development
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Planning Toolkit
on the CD: • Builds on KS4 planning toolkit (autumn 07)• Folder structure for saving maths planning
files• Includes some strategy resources• Includes Standards Box resources (see SU
files)
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Planning Tool
on the USB:• Software to support planning using online
resources• Can open your own scheme of work, lesson
plans etc inside the software• Allows copying from online sites including
the online renewed secondary framework
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Other bits
on the USB:• Medium term plans for Y7 and Y8 with new
objectives• Framework sitemap• Spring 08 SLDM materials• Summer 08 SLDM materials
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Dates for your diary
Workshop (Opportunity for planning time):Wednesday 2nd July 12:00 to 18:30 Finstall
Next SLDM (Functional Skills focus):Wednesday 8th October 09:00 to 16:00
Course list handout - Edulink
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Action Points from this afternoonImplications
• buy, download, store resources
• prepare, collate, organise practical resources
• update the scheme of work
• collaboration
Inset
• long term view