Slide 1 - MATHEMATICS ADVISORY SERVICES OVERBERG201132683553

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Slide 1 - MATHEMATICS ADVISORY SERVICES OVERBERG201132683553 Powered By Docstoc
					Western Cape Education
     Department
  Overberg Education
        District
      Mathematics
        George Edwards
        Tel: 028-2147341
       Fax: 086 693 9667
e-mail: gedwards@pgwc.gov.za
            Programme
•   Opening and welcome
•   Personalia
•   Administrative arrangements
•   Reflection September 2009
•   Programme of Assessment 2010
•   Moderation Process 2010
•   Portfolio Management
•   Reporting per term
•   Planning guide for 2010
•   BREAK
          Programme

• Challenges within Mathematics
• The Way Forward
• Communication between Educators
  and Curriculum Advisor
• GeoGebra
• Closure
      Opening and welcome
• Bread on the water
Personalia
    Administrative arrangements
•   Minutes – a volunteer!
•   Attendance register
•   Personal data
•   Transport claims(Z43 + S&T)
•   Arrangements for the day
   Reflection September 2009
• Analysis of results

• Adjustment of CASS marks
         Trial Exam Sep 2009
                             Trial Exam Sep 2009

70
60
50
40
30
20
10
0
     A   B   C   D   E   F    G   H   I   J    K   L     M   N   O   P   Q   R   S

                             Sep P1   Sep P2   Ave Sep
Average Trial Exam vs Year Mark

                     Average Trial Exam vs Year Mark

80
70
60
50
40
30
20
10
 0
     A   B   C   D   E   F   G    H   I    J   K      L   M   N   O   P   Q   R   S

                                 Ave Sep   Yearmark
Difference between trial exam and
            year mark
                        Difference between trial exam and year mark

35
            27.7                                                                                                     28.6
30
                                                         23.1                                           24.3
25                                                              20.7
     18.6                                                                    19.4
20                                   16.6                                                  17.2                             17.3
                   14.3 13.7                13.4                                    14.5
15
                                                                       9.9                                     8.7
10                             8.4                 7.3
                                                                                                  5.0
5
0
      A      B      C    D     E      F      G     H      I      J     K      L      M      N     O      P     Q      R      S

                                                         Difference
Average Trial Exam per School vs
       District’s Average
                                          Average Trial Exam

60                                                         54.8                                          52.7
                                         50.7                                      50.2       49.3
                          47.1       44.7
50
                                                      38.8
40                             34.8                                           35.9
                    28.9                                                                                        31.0
30
           19.016.6                                              18.8                    18.6       19.2
20
     7.2                                        6.6                     7.6
10
0
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                                                                                                                 AVE
                                                        Ave Sep
Programme of assessment
    2010 - Guidelines
Assessment Grades 10, 11 & 12
 Grade 10 & 11
 Grade 12
 Suggested Mark Distribution
 Taxonomical differentiation of questions on
  FET Mathematics question papers
 Minimum requirements for the Mathematics
  assessment Programme
     Assessment in Grades 10 - 11
                                     GRADE 10                   GRADE 11
         TERM                 TASKS        WEIGHT       TASKS         WEIGHT
                                            (%)                        (%)
                           Investigation        10    Investigation        10
Term 1                                          10                         10
                           Test                       Test
                           Assignment           10    Assignment           10
Term 2                                          30
                           Examination                Examination          30
                           Project              20    Project              20
Term 3                                          10
                           Test                       Test                 10
Term 4                     Assignment           10    Assignment           10
Programme of Assessment
mark                                            100                    100

Programme of Assessment
mark (as % of promotion                     25%                        25%
mark)

End-of-year examinations                    75%                        75%

Promotion mark                              100%                       100%
         Assessment in Grade 12
                              TASKS                     WEIGHT (%)
    TERM
                   Option 1           Option 2*      Option 1   Option 2*

               Investigation or   Investigation or
               Project            Project              20          20
Term 1         Assignment         Assignment           10          10
               Test               Test                 10          10
               Assignment         Assignment           10          10
Term 2
               Examination        Test                 15          10
               Test               Test                 10          10
Term 3
               Examination        Examination          25          30
Internal
assessment                                                  100
mark



           Schools are advised to choose Option 1
                     Cognitive Levels
                         APPROXIMATE PROPORTION OF THE PAPER
     TAXONOMICAL
      CATEGORIES
                         %     100 mark paper   150 mark paper


Knowledge               ± 25        ± 25             ± 38

Performing routine
                        ± 30        ± 30             ± 45
procedures

Performing complex
                        ± 30        ± 30             ± 45
procedures

Problem Solving         ± 15        ± 15             ± 22
        Assessment Exemplars
• Resources were provided in 2008:
   2 CD’s : Exemplars 2008
   Tutorials 2008
   Exemplar Papers



• Grade 12 : Common papers in June and
  September 2009

• Available on www.edwardsmaths.com
   Innovative Tasks by Educators

• Please develop your own tasks.
• Share with the rest of us.
• Visit websites like the following:
     www.mastermaths.co.za
     www.curriki.org
     www.mathsexcellence.co.za
     www.camiweb.com
     www.admaths.co.za
                      Projects
• A project in the context of Mathematics is a task in which
  learners are provided with an opportunity to apply
  mathematical knowledge to contexts outside of
  mathematics.
• The mathematical knowledge applied should be relevant
  to the grade of the learners (there should be a clear
  difference between a grade 10 and 12 project)
• A project must be well-structured with clear criteria for
  assessment.
• Constant monitoring and support should be provided to
  learners throughout the duration of the task.
• Time allocation should be reasonable but not too long.
• A rubric is suitable to assess a project.
              Examinations
• Examinations in Grades 10 and 11 should,
  where possible, have a distribution of marks
  similar to that of Grade 12 .
• Grade 10 and 11 examinations should also
  include problem-solving questions in preparation
  for such questions in the NSC Maths exam.
• The end-of-year examination in Grade 11 should
  be representative of the style, nature and
  complexity of the final Grade 12 Maths exam.
                 TESTS
    Two tests, written under controlled
      conditions, are prescribed for
    Grades 10-12. These tests should
         adhere to the following:


   Completed by all classes in the same grade on the same day.
    All learners write the same test.
    Completed under exam conditions.
    Questions must comply with year-end exam standards.
    More than one teacher, reach agreement on scope, date and time of test.
    The mark allocation for a one-hour test is at least 50 marks.
    Tests should cover the different cognitive levels.
    Tests should include “problem-solving” questions.
                  Assignments
• An assignment in the context of Mathematics is intended
  to provide the learners with an opportunity to consolidate
  what has been learnt in class.
• Such structured and controlled revision should prepare
  learners for tests and examinations.
• It follows therefore that there should be a direct
  relationship in the scope of an assignment and that of a
  test or examination it precedes.
• While the teacher may allocate classroom time and
  supervise the completion of an assignment, the learner
  could also complete parts of an assignment in his or her
  own time.
               Investigations
• In the context of Mathematics an investigation is
  a structured task in which learners are carefully
  guided towards the discovery of mathematical
  relationships/trends. These relationships include
  theorems, conjectures, graphs, patterns, etc.
• It must be stated clearly that “the mathematics”
  being investigated by the learners must be
  appropriate to their grade.
• A rubric is most suitable for these kinds of tasks.
          Moderation : 2010
• Internal Moderation

• Curriculum Adviser: First Round
   Grade 12 : 3 May - 12 May
   Grade 9 : 17 May - 27 May
   Grade 8, 10 & 11 : 26 July – 19 Aug

• Curriculum Adviser : Final Moderation and
  Verification:
   Grade 12 and verification gr. 10 & 11 SBA :11 Oct –
    25 Oct
   Grade 9 and verification gr. 8 SBA : 1 Nov – 15 Nov
            Internal Moderation
•   Moderation of tasks and assessment tools
•   Moderation of completed tasks of learners
•   Record the moderated tasks (Names & Marks)
•   Moderation of the recorded marks
• Suggested process and form – Hermanus High
  representative
• Report (verslag) by CA
                 Moderation
School:                   Teacher portfolio and sample of
Internal Moderation       learner performance – twice a year
                          by Subject Head(Example of
                          Hermanus)


District:                 Teacher portfolio and sample of
Curriculum Adviser / HO   learner performance – twice during
                          year

Provincial: Umalusi       Once per year
                          MIGHT HAPPEN IN 2010
         Portfolio Management
•   Subject Recource File
•   Teacher Portfolio
•   Learner Portfolio
•   Portfolio Management
    Important documents: Subject Resource
                    File


•   Standard Setting notes
•   NCS Subject Statement
•   Subject Assessment Guidelines (2008 version)
•   Learning Programme Guidelines (2008 version)
•   Gov Gazette No 29467 (11 Dec 2006)
•   Subject Framework
•   Work schedules/Pace setters
•   Programme of Assessment
•   Circulars
•   Examination Guidelines Grade 12 (2009)
•   Exemplar Tasks, Exemplar Papers
Important documents: Educators’ Portfolio


• Cover page
• Table of content
• Pacesetters/Work schedules
• Lesson plans
• Programme of Assessment
• All Assessment Tasks and Instruments
• Recording Sheets (per term and final year
  mark schedule)
• Evidence/Record of Interventions
• Informal Assessment Tasks
           Learner Portfolio
• Cover page
• Table of content( Afr. or Eng )
• Assessment Tasks per Term
  (clearly indicated)
• Statement of Authenticity (signed by learner)
       Portfolio Management
• Table of contents
• Clear indication of Assessment Tasks
• Interleaves
• Correlation between educator and learner
  portfolio
• Mark Sheets
• Declaration (Learner Portfolio)
• Evidence of Interventions
                   Reporting per term
              TERM 1                TERM 2            TERM 3           TERM 4


Grades   Investigation   Test   Assignment   Exam   Project   Test    Assignment
   10
   and
   11
             25%         75%       25%       75%     25%      75%    Will be added
                                                                          to Final
                                                                           CASS
                                                                           mark
                        Reporting per term

              TERM 1                   TERM 2               TERM 3                TERM 4

G    Investigation/   Controlled   Assignment   Exam   Controlled   Trial   Year mark     External
     Project               Test                           Test      Exam       (with       Exam
R                                                                           weightings
                                                                                 as on
                                                                                page 8)
A

D

E         25%           75%           25%       75%      25%        75%        25%         75%

12
                 FINAL MARK
     Year mark            External Exam

25% (with weightings          75%
    as on page 8)
           Planning for 2010
•   3 levels of planning
•   School calender for 2010
•   School weeks for 2010
•   Subject framework Gr 10, 11 & 12
•   Work schedule 2010 Gr 10, 11 & 12
•   Lesson plan example
BREAK/POUSE
    Challenges within Mathematics
• Lack of proper interpretation of curriculum
• Lack of culture of learning within school
• Lack of content knowledge
• Teaching methodology for effective delivery of
  subject-”Talking Textbook”
• Lack of proper planning
• Quality of passes
• Attracting learners to the subject and retaining
  learners within the subject
                        50
                             100
                                               150
                                                               200
                                                                     250




                    0
       Qhayiya
     Groenberg
Albert Myburgh
       Umyezo
    Bredasdorp
Riviersonderend
       Overberg
       Hawston
     Swartberg
       Overberg
     Hermanus
Villiersdorp Sec
       De Rust
     De Villiers
                                                                                                                               learners




       Grabouw
   Swellendam
   Swellendam
                                                                           Maths learners as % of Gr.12 learners




    Emil Weder
       Northcliff
                                                                                                                   Maths learners as % of total Gr. 12




                             Total learners
                                              Maths learners
                                      Al
                                        be
                                            rt
                                                My




                                                                 0
                                                                10
                                                                20
                                                                30
                                                                40
                                                                50
                                                                60
                                                                70
                                                                80
                                                                90
                                                               100
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                                                     ad
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                                                                                                 Comparison of percentages




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                                       v ie a y
                                            rs          iy
Maths learners/Total learners %
                                                on a
                                                                                            88




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                                                        Se
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                                                                   9
              The Way Forward
• Establishing of study groups
 Bredasdorp(Albert Myburgh;Bredasdorp)
 Swellendam(Swellendam;Swellendam Sec)
 Grabouw(DeRust;Grabouw;Groenberg;Umyezo)
 Hermanus(Hermanus;Hawston;Qhayiya;Overberg
  Academy;Northcliff House)
 Villiersdorp(De Villiers Graaff;Villiersdorp Sec)
 Caledon(EmilWeder;Overberg;Swartberg;
  Riviersonderend)
    Appointment of Lead Teachers
•   Bredasdorp
•   Swellendam
•   Grabouw
•   Hermanus
•   Villiersdorp
•   Caledon
   Training of Lead Teachers
• 30 January 2010

• 6 February 2010

• 13 February 2010

• FET Development Clusters
  22 February 2010 – 4 March 2010
          District’s Olimpiad
• 20 May 2010

• Organised by Lead Teachers

• Accessible to all levels
   Winter and Spring Schools
• Compulsary for certain schools
• Presented in partnership with CA and
  neighbouring schools.
• Learning material being developed by mr
  Werner Ladewig and CA
• Business Plan to attract money (NSLA
  schools and borderline schools)
• Programme to be submitted to CA by
  middle of 2nd and 3rd terms
Communication between Educators
            and CA
•   SMS – 083 2935336
•   Website – www.edwardsmaths.com
•   Ning – http://overbergedudistrict.ning.com
•   Email – gedwards@pgwc.gov.za
            GeoGebra
         www.geogebra.org

• Introduction & practical session
• Presenter: J. van Aardt
THANK YOU!

 DANKIE!

  ENKOSI!

				
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