New Senior Secondary Mathematics Curriculum Design of Public Assessment

1. New Senior Secondary Mathematics Curriculum Design of Public Assessment HKEAA September 2006

2. NSS Math CurriculumConsultations on Public Assessment • First Consultation (2004): Direction of Public Assessment • Second Consultation (2005): Framework of Public Assessment • Third Consultation (2006): Design of Public Assessment

3. NSS Math CurriculumDesign of Public Assessment • Public Examination • School-based Assessment (SBA) • Standards-referenced Reporting (SRR)

4. Public Examination • Hong Kong Diploma of Secondary Education (HKDSE) • Include questions of different types & levels so as to ensure a comprehensive assessment of abilities & skills, and to cater for the varied abilities of candidates • The above guiding principle is already adopted in current HKCE & HKAL Mathematics examinations

5. Schedule for Public Examination • 2007 • Designsample papers • Conduct pilot testing on sample papers • 2008 • Write descriptors for each level • Sharing sessions on sample papers, descriptors for each performance level and samples of student performances

6. Public Examination (1)

7. Public Examination (2)Compulsory Part Paper 1 (2¼ hours) (65%) • All the questions to be attempted • Two sections • Section A: Foundation Topics of the Compulsory Part together with the Foundation Part of the S1-3 Mathematics Curriculum • Section A divided into two parts: • Section A(1) (35 marks): 8 to 11 elementary questions • Section A(2) (35 marks): 4 to 7 harder questions

8. Public Examination (3)Compulsory Part Paper 1 (2¼ hours) (65%) • Section B: Compulsory Part together with the Foundation Part and the Non-Foundation Part of the S1-3 Mathematics Curriculum • Section B (35 marks): 4 to 7 questions

9. Public Examination (4)Compulsory Part Paper 2 (1¼ hours) (35%) • Multiple-choice questions • All the questions to be attempted • Two sections • Section A ( 2/3 of the paper mark): Foundation Topics of the Compulsory Part together with the Foundation Part of the S1-3 Mathematics Curriculum • Section B ( 1/3 of the paper mark): Compulsory Part together with the Foundation Part and the Non-Foundation Part of the S1-3 Mathematics Curriculum

10. Public Examination (5)Module 1 (Calculus and Statistics) • One paper of 2½hours’ duration • All the questions to be attempted • Two sections • Section A (50 marks): 8-12 short questions • Section B (50 marks): 3-5 long questions Module 2 (Algebra and Calculus) • The same as Module 1

11. Public Examination (6)Conventional Papers • Section A • Emphasis on fundamental techniques and basic knowledge and concepts • Involves short questions which are standard and straightforward • Section B • Assess problem-solving skills • More emphasis on assessing higher-order thinking skills • Involves long questions which have different levels of difficulty • In Section B, questions may be of different marks • In Compulsory Part, Section B may involve short questions

12. Public Examination (7)Sample question for reference 2005 CE Math Paper 1 Section B Question 16

13. Rationale for introducing SBA • Broaden the mode of assessment • Capture student performances at different points of time • Have a positive effect on teaching and learning • Recognize the professional judgment of teachers in the assessment process: enhance the professional development of teachers

14. Some International Experience of SBA • Ontario in Canada & Queensland in Australia: 100%

15. Local Experience of SBA (1)HKALE

16. Local Experience of SBA (2) HKCEE

17. Guiding Principles in Designing SBA in NSSMC • Aligns with the curriculum aims & objectives (Further Applications and Inquiry & Investigation) • Adopts a pragmatic approach in implementing SBA • Emphasizes quality rather than quantity • Avoids unduly increasing the workload of teachers & students

18. SBA: Assessment Tasks • Assessment tasks will be more comprehensive and flexible that traditional exam questions: • Time • Question type • Coverage • Use of open-ended questions • Degree of assessing higher-order skills • Tools can be used • Ways of presenting answers

19. The phasing in ofSBA in Compulsory Part (1)

20. The NSS Math Curriculum has been gone through one cycle since July 2012 The phasing in ofSBA in Compulsory Part (2)

21. SBA in Compulsory Part: Proposed Mode • Teachers design two assessment tasks (each student is required to complete one in S5 and the other in S6) • one task on mathematical investigation or problem-solving • one task on data handling • Weighting of SBA: 15% • Weighting of public examination: 85% • Mainly be conducted in school under the supervision of teachers

22. Resources for Setting Assessment Tasks (1)

23. Resources for Setting Assessment Tasks (2) • Learning & teaching resources • Textbooks & reference books • Experience sharing among teachers • Internet resources • Others …

24. SBA: Quality Assurance • Developmental Stage • Detailed guidelines & SBA handbooks • Exemplars, examples of student performances • Teacher training • Implementation Stage • Co-ordinators to support schools & monitor the implementation • Communication & experience sharing among teachers • Post-exam Stage • Moderation mechanism

25. SBA: Moderation Mechanism • Statistical method to moderate SBA marks with reference to students’ public examination scores • Iron out possible differences among schools in marking standards • The rank order of students in schools will be maintained

26. 2006 Public consultation on Public Assessment (including the SBA component) Review and finalize SBA design in view of schoolcomments Schedule for SBA (1) • 2007 • Develop assessment criteria • Conduct pilot testing on exemplary assessment tasks • Further develop exemplary assessment tasks • Sharing sessions with schools on SBA (assessment criteria, detailed requirement and exemplars)

27. 2008 Revise SBA design and requirement for trial out in 2009 Conduct professional development courses and training on SBA for teachers Schedule for SBA (2) • 2009-2013 • Publish SBA handbooks for trial out • Conduct a pilot study on SBA from 2009-2012 • Refine SBA design and requirement, if necessary, based on the result of the pilot study • Publish finalized SBA handbooks for 2016 HKDSE in 2013 • Conduct professional development courses and training on SBA for teachers

28. Public Assessment in Extended Part • There will only be a public examination, at least in the early stages • Based on the experience of implementation of SBA in the Compulsory Part, consideration will be given to introducing an SBA component in the Extended Part at a later stage

29. Standards-referenced Reporting • Norm referenced: Report information on the relative performance of students • Standards-referenced: Report information on the performance of students relative to fixed standards • Standards-referenced Levels 1-5 • Use 5* and 5** to denote the highest performers • SRR does not change the nature of the examination • The levels awarded in the Extended Part will be reported separately from the Compulsory Part

30. Thank you !!