Maths Standard Setting February 2011

Document Sample
Maths Standard Setting February 2011 Powered By Docstoc
					Western Cape Education
     Department
  Overberg Education
        District
     Mathematics
        George Edwards
        Tel: 028-2147341
               Fax:
e-mail: gedwards@pgwc.gov.za
   www.edwardsmaths.com
            Programme
•   Opening and welcome
•   Administrative arrangements
•   Reflection December 2010
•   Programme of Assessment 2011
•   Moderation Process 2011
•   Portfolio Management
•   Reporting per term
•   Planning guide for 2011
•   BREAK
          Programme
• Challenges within Mathematics
• The Way Forward
• Communication between Educators
  and Curriculum Advisor
• Fullmarks
• Content knowledge exercise
• Exam setting templates
• General
• Closure
Opening and welcome
    The four squares
    Administrative arrangements
•   Minutes – a volunteer!
•   Attendance register
•   Personal data
•   Transport claims(Z43 + S&T)
•   Arrangements for the day
    Reflection December 2010
• Analysis of results

• Adjustment of CASS marks (+/- 15%)
                                              Average % per district
                60




                50




                40
Percentage




                30




                20




                10




                 0
                                   Eden and
                         Cape                  Metropole   Metropole   Metropole   Metropole
                                    Central                                                    Overberg   Westcoast   Province
                       Winelands                Central      East       North       South
                                    Karoo
             Paper 1     43.4        36.3        37.9        23.9        34.7        33.1        30.1        37         34.6
             Paper 2     43.7        37.3        38.1        24.7        35.3        31.8        32.2       37.4        35.1
             Total       51.7        44.6        48.2        33.3        43.8        41.9        38.7       44.7       43.36
                                              Pass Rate per District
                    90


                    80


                    70


                    60
Percentage




                    50


                    40


                    30


                    20


                    10


                     0
                                       Eden and
                             Cape                 Metropole   Metropole   Metropole   Metropole
                                        Central                                                   Overberg   Westcoast   Province
                           Winelands               Central      East       North       South
                                        Karoo
             Pass at 30%     77.2        68.3       73.6        47.3        67.9        67.7        53.5       71.1       65.95
             Pass at 40%     63.9        53.5       57.9         33         52.5        49.5        43.2       52.5       50.61
                                         Average Mark vs District's Average
                     90


                     80


                     70


                     60
Average percentage




                     50


                     40


                     30


                     20


                     10


                      0
                                                                                                                       Distr
                          A    B    C    D    E    F    G    H    I    J    K    L    M    N    O    P    Q    R    S
                                                                                                                        ik
                     2008 18   72        54   30   79   20   30   71             71   25   22   20   61   23   34   26 42
                     2009 24   65   13   50   33   63   25   25   62   65   55   61   19   39   15   64   19   30   36 40
                     2010 32   62   22   44   27   66   20   28   60   67   40   62   18   38   20   64   61   23   27 39
                                                       Average Pass rate vs Dist/Prov.

                       120



                       100
Percentage Pass Rate




                        80



                        60



                        40



                        20



                         0
                              A     B    C   D    E     F    G    H      I    J    K       L   M     N    O     P    Q    R    Distrik Prov.
                       2008   17   100       93   57   100   14   63   100               100   24    25   22   100   53   40     57
                       2009   30    97   0   93   69   100   39   33    97   100   100   100   22   100   11   100   57   67     63     65
                       2010   55    95   0   75   33   100   21   33    95   100   100    96   15   100   25    91   19   22     54     66
                                           Paper 1 per question analysis
                60




                50




                40
Percentage




                30




                20




                10




                 0
                     Question Question Question Question Question Question Question Question Question Question Question
                                                                                                                        TOTAL
                        1        2        3        4        5        6        7        8        9       10       11
             Series1  56.4     44.1     29.5     44.6     43.6      24      22.9     36.6     20.1      15       30      34.1
                                                Paper 2 per question analysis
                70




                60




                50




                40
Percentage




                30




                20




                10




                 0
                     Question Question Question Question Question Question Question Question Question Question Question Question
                                                                                                                                   TOTAL
                        1        2        3        4        5        6        7        8        9       10       11       12
             Series1  64.7      51      50.8     53.4      41      34.2     40.2     18.6      44      27.4     15.3     20.8       34.4
                                                   Paper 3 per question analysis
                90


                80


                70


                60
Percentage




                50


                40


                30


                20


                10


                 0
                                                                                                                            Question
                       Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9              Total
                                                                                                                              10
             Series1     64.7       84.9       44.5        79.6       50.4       62.6       58.2       42.3       35.7       49.3      55.5
Based on the per question analysis some of
these topics will be prioritised for in depth
support e.g. telematics and tutoring.

•Functions and Graphs
•Calculus
•Financial Mathematics
•Trigonometry
Programme of assessment
    2011 - 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


• PLEASE VISIT MY WEBSITE.

• PLEASE DONATE TESTS, EXAMS, ECT FOR
  PUBLICATION ON THE WEBSITE

• www.edwardsmaths.com
                      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 : 2011
• Internal Moderation

• Curriculum Adviser: First Round

• Curriculum Adviser : Final Moderation and
  Verification:
            Internal Moderation
•   Moderation of tasks and assessment tools
•   Moderation of completed tasks of learners
•   Record the moderated tasks (Names & Marks)
•   Please record on electronic sheets.
•   Moderation of the recorded marks
• Report (verslag) by CA
                 Moderation
School:                   Teacher portfolio and sample of
Internal Moderation       learner performance – twice a year
                          by Subject Head



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

Provincial: Umalusi       Once per year
                          MIGHT HAPPEN IN 2011
       Portfolio Management
• Subject Recource File

• Teacher Portfolio

• Learner Portfolio
    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
• 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)
                   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%                    75%
         Planning for 2011
• Work schedule 2011:

 Grade 10

Grade 11

Grade 12

Textbooks: X-Factor ; Focus Study Guide
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
      Number Maths learners vs Total
300


250


200


150


100                                    Series1

                                       Series2
 50


  0
                             Maths learners as % of total

                                                                                      72




                                                           57

                                                                51

                                            44

         39
                   36              37
                                                                             35


                                                 27


              18              18
                                                      14
                        12
10
                                                                     8   9                 8
                                        7

     0                                                                            1
              The Way Forward
• 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 – Bennie Kotze
•   Swellendam – Adri Jooste
•   Grabouw – Salome Lategan
•   Hermanus – ?
•   Villiersdorp – Dorothy Prins
•   Caledon – Angelique Edwards
   Winter and Spring Schools
• Compulsary for certain schools
• Presented in partnership with CA and
  neighbouring schools.
• Learning material will be developed.
• Business Plan to attract money.
• 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

• Email – gedwards@pgwc.gov.za
   CONTENT KNOWLEDGE
        EXERCISE

• Grade 12 Paper 1 November 2010
     Complete questions……
     Answers




• Grade 12 Paper 2 November 2010
     Complete questions……
EXAM SETTING
 TEMPLATES

   Grade 10
   Grade 11
   Grade 12
TEST SETTING
 TEMPLATES
   Grade 10-12
        GENERAL
Grade 12 Common Papers

NO old papers to be used for
exam purposes

CAPS update

Training April 2011 in CAPS
THANK YOU!

 DANKIE!

  ENKOSI!

				
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
views:8
posted:7/30/2012
language:English
pages:52