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Outstanding Achievement:
Innovations in Mathematics
             Cecilia Freer
  2nd i/c in Mathematics and SLE
Mathematics Department
Headline Figures
            Our students routinely lead Cambridgeshire both in terms of
                   percentage A*-C and value added measures.
     100
      90
      80
      70
                                                                                    A*-A
      60
                                                                                    Ntl Ave A*-A
      50
      40                                                                            A*-B
      30                                                                            A*-C
      20                                                                            Ntl Ave2 A*-C
      10
       0
           2007    2008     2009     2010      2011           2012        Current


                                            Cambridge Meridian Academies Trust
                                                                                     Swavesey
                                                                                     Village College
Our priorities
•   Mixed Ability Ethos                         • Support sessions – lunch, after
•   Differentiation                               school, holiday revision
•   Group-work                                  • Intervention – 1:1, mentoring, targeted
                                                  after school, class groups
•   Collaborative planning, sharing
    resources, rich & engaging tasks            • Links to Primary schools – numeracy &
                                                  L6 maths extension
•   Embedding STEM Activities
                                                • Research – Involvement in
•   Tracking progress – learning logs, skills
                                                  projects, masters degrees
    checks
                                                • Use of technology – IWBs, smart
•   AfL (How to improve H2I)
                                                  phones, ipods, student voting, email
•   Consistent home-learning experience
                                                • Single gender groups
•   Individual pathways
Key strategies we have adopted
• Embedding rich, open 'multi-faceted'   • Using tasks that require higher order
  tasks into our SoWs                      thinking
• Extending this approach to home        • Establishing group-work: stabilising
  learning                                 groups, accountability, equitable
• Use of prompts to scaffold & extend      learning, using roles, 'Working in the
  tasks                                    middle‘, group-boards on the walls of
                                           two classrooms (so far)
Rich Questions: What’s the largest box you can
     create from a 20cm square of paper?
Effective group-work
and mixed ability
teaching
Group structures and
roles
Group-work is particularly
valuable with wide ability ranges:
students can use each other as
resources allowing higher-order
thinking skills tasks (Cohen et al, 1989)
Advantages in maintaining ‘stable’
groups allow a build up trust and
respect for each other (Blatchford et
al., 2003)
Effective group-work
and mixed ability
teaching
Group structures and
roles

Describe one thing this task helped
you improve or learn today:
‘Separate roles really helped this task’
‘The way the task was structured’
‘Role Cards - cooperation’
‘Different Roles’
Strategies adopted through group-work research
     Working in the middle
Establish group
accountability:
require students to
put away their                                    Silent group
individual books and     Starter ‘creative      cooperation task
create a group            thinking’ task
product. This avoids                            Group mean from
individuals working                              individual tests
separately without        Group marks on
contributing to the    graded past paper Qs      Individual Self
group effort.                                     Assessment
Strategies adopted through group-work research
Working in the middle
Strategies adopted through group-work research
Developing this further: Group-whiteboards
Providing Support and Intervention:
         Personalised learning for students who experience barriers
         to learning mathematics
                          “Aiming to Ensure At Least Expected Progress for All”

             Team-up Tuition
             • After school individual tuition with students from Cambridge University

Maths Mentoring Programme:                                Year 7 and 8 Numeracy Intervention
• Weekly 20 minute peer mentoring scheme for              • Weekly small class covering essential numeracy with
  year 7s paired with year 10s                              extra TA support

Extra Mathematics Class per Week                          Study Centre Groups
• For targeted groups students in years 9 to 11, on a     • Additional supported tuition and small group work for
   rotation basis                                            selected students
Home Learning
        Extending learning beyond the classroom
Consistent
homework
tasks set for
all. Either
levelled tasks
for students to
select
appropriate
tasks or open
projects where
differentiation
is by outcome.
                              Teacher, peer and self assessment
Tracking Progress
Individual records – Learning Logs
                  Every student has a learning log for the
                  year. This contains:
                  • All levelled objectives for self
                    assessment (RAG)
                  • A Progress Chart
                  • Teacher, peer and self assessment of
                    homeworks
                  • Space for detailed notes on topics
                  • Records of skills check
                    levels, progress and How 2 Improve
                    (H2I)
                  • Key words for each topic (in
                    development with whole school
                    literacy)
Tracking Progress
Cohort Data and Skills Checks
       Monitoring between
       assessments has a
       focus on progress
       from pre to post
       skills checks.
       Use of T-/T/T+ to
       identify
       underachievement
       and need for
       intervention and
       students to
       challenge further
Teaching to a Mixed Ability Classroom: Enriching
     Mathematical Learning and Building Cross-Curricular Links

                      “Aiming to Broaden Mathematical Ideas”

                                        Raising Achievement in GCSE Mathematics
                                        • CHF and TS worked with the NCETM to produce case studies of
                                          using rich tasks
Involvement in Educational Research:
• Jo Boaler (University of Sussex)
• Jenny Gage (University of Cambridge)
• EpiSTEMe Dialogic Teaching (University of Cambridge)
                            Collaborative Work with Nrich and Stem Nrich
                            • CHF, TS and JCB leading workshops at teacher inspiration events
                            • Publishing resources, tasks and lesson structures
                            • Lesson transcripts published from lessons taught by CHF and TS
STEM: “A bottle filled with a different ratio of water to air will
  produce a different note when air is blown across the top”




                                            A maths practical in a
                                            science lab!

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Innovations in maths at svc

  • 1. Outstanding Achievement: Innovations in Mathematics Cecilia Freer 2nd i/c in Mathematics and SLE
  • 2. Mathematics Department Headline Figures Our students routinely lead Cambridgeshire both in terms of percentage A*-C and value added measures. 100 90 80 70 A*-A 60 Ntl Ave A*-A 50 40 A*-B 30 A*-C 20 Ntl Ave2 A*-C 10 0 2007 2008 2009 2010 2011 2012 Current Cambridge Meridian Academies Trust Swavesey Village College
  • 3. Our priorities • Mixed Ability Ethos • Support sessions – lunch, after • Differentiation school, holiday revision • Group-work • Intervention – 1:1, mentoring, targeted after school, class groups • Collaborative planning, sharing resources, rich & engaging tasks • Links to Primary schools – numeracy & L6 maths extension • Embedding STEM Activities • Research – Involvement in • Tracking progress – learning logs, skills projects, masters degrees checks • Use of technology – IWBs, smart • AfL (How to improve H2I) phones, ipods, student voting, email • Consistent home-learning experience • Single gender groups • Individual pathways
  • 4. Key strategies we have adopted • Embedding rich, open 'multi-faceted' • Using tasks that require higher order tasks into our SoWs thinking • Extending this approach to home • Establishing group-work: stabilising learning groups, accountability, equitable • Use of prompts to scaffold & extend learning, using roles, 'Working in the tasks middle‘, group-boards on the walls of two classrooms (so far)
  • 5. Rich Questions: What’s the largest box you can create from a 20cm square of paper?
  • 6. Effective group-work and mixed ability teaching Group structures and roles Group-work is particularly valuable with wide ability ranges: students can use each other as resources allowing higher-order thinking skills tasks (Cohen et al, 1989) Advantages in maintaining ‘stable’ groups allow a build up trust and respect for each other (Blatchford et al., 2003)
  • 7. Effective group-work and mixed ability teaching Group structures and roles Describe one thing this task helped you improve or learn today: ‘Separate roles really helped this task’ ‘The way the task was structured’ ‘Role Cards - cooperation’ ‘Different Roles’
  • 8. Strategies adopted through group-work research Working in the middle Establish group accountability: require students to put away their Silent group individual books and Starter ‘creative cooperation task create a group thinking’ task product. This avoids Group mean from individuals working individual tests separately without Group marks on contributing to the graded past paper Qs Individual Self group effort. Assessment
  • 9. Strategies adopted through group-work research Working in the middle
  • 10. Strategies adopted through group-work research Developing this further: Group-whiteboards
  • 11. Providing Support and Intervention: Personalised learning for students who experience barriers to learning mathematics “Aiming to Ensure At Least Expected Progress for All” Team-up Tuition • After school individual tuition with students from Cambridge University Maths Mentoring Programme: Year 7 and 8 Numeracy Intervention • Weekly 20 minute peer mentoring scheme for • Weekly small class covering essential numeracy with year 7s paired with year 10s extra TA support Extra Mathematics Class per Week Study Centre Groups • For targeted groups students in years 9 to 11, on a • Additional supported tuition and small group work for rotation basis selected students
  • 12. Home Learning Extending learning beyond the classroom Consistent homework tasks set for all. Either levelled tasks for students to select appropriate tasks or open projects where differentiation is by outcome. Teacher, peer and self assessment
  • 13. Tracking Progress Individual records – Learning Logs Every student has a learning log for the year. This contains: • All levelled objectives for self assessment (RAG) • A Progress Chart • Teacher, peer and self assessment of homeworks • Space for detailed notes on topics • Records of skills check levels, progress and How 2 Improve (H2I) • Key words for each topic (in development with whole school literacy)
  • 14. Tracking Progress Cohort Data and Skills Checks Monitoring between assessments has a focus on progress from pre to post skills checks. Use of T-/T/T+ to identify underachievement and need for intervention and students to challenge further
  • 15. Teaching to a Mixed Ability Classroom: Enriching Mathematical Learning and Building Cross-Curricular Links “Aiming to Broaden Mathematical Ideas” Raising Achievement in GCSE Mathematics • CHF and TS worked with the NCETM to produce case studies of using rich tasks Involvement in Educational Research: • Jo Boaler (University of Sussex) • Jenny Gage (University of Cambridge) • EpiSTEMe Dialogic Teaching (University of Cambridge) Collaborative Work with Nrich and Stem Nrich • CHF, TS and JCB leading workshops at teacher inspiration events • Publishing resources, tasks and lesson structures • Lesson transcripts published from lessons taught by CHF and TS
  • 16. STEM: “A bottle filled with a different ratio of water to air will produce a different note when air is blown across the top” A maths practical in a science lab!