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OBJECTIVES

• Describe the structure of National Curriculum of
  Mathematics.
• Differentiate the terms
  standard, competencies, ,Benchmarks and
  student learning outcomes.
• Describe the importance of curriculum.




31-Dec-12   E: hamidpak@gmail.com C:+92-336-4853000   2
Time Management

»   Intro and Group formation…. …10 minutes
»   National Curriculum Maths…… 40 minutes
»   Activities………………………….. 30 minutes
»   Questions………………………….10 minutes




31-Dec-12     E: hamidpak@gmail.com C:+92-336-4853000   3
HISTORY
   The first National Curriculum was
   developed in 1975-76 .
   Which was further reviewed in 1984-85 and
   then in 1994-95.
   The next review took place in the years of
   2000 and 2002.
   Last review of the National Curriculum was
   took place in 2006-2007



31-Dec-12    E: hamidpak@gmail.com C:+92-336-4853000   4
HISTORY
   The main objective was to make the
   curriculum more vibrant and more
   responsive to the modern, socio-
   economic, technical, professional and
   labor market needs of the country.
   It was also targeted to make it
   comparable with international
   standards.

31-Dec-12   E: hamidpak@gmail.com C:+92-336-4853000   5
Time: 5
                                                minutes



In your words the word curriculum
is…………………………….




31-Dec-12   E: hamidpak@gmail.com C:+92-336-4853000       6
CURRICULUM IS
»   which is taught in school
»   is a set of subjects
»   is content
»   is a program of studies
»   is a sequence of courses
»   is a set of performance objectives
»   is a course of study
»   is everything that goes on within the school, including extra-class
    activities, guidance and interpersonal relationships
»   is that which is taught both inside and outside the school directed by
    the school
»   Curriculum is everything that is planned by school personal
»   is all the experiences of learner both inside and outside the school
»   Curriculum is a series of experiences undergone by learners in school

              Developing the Curriculum 4th Edition Peter F.Oliva
Curriculum can be conceived in a
   narrow way (as subjects taught) or in
   a broader way (as all the experiences
   both inside and outside of school)




                                                                      8
31-Dec-12   Developing the Curriculum   4th   Edition Peter F.Oliva
CURRICULUM
Franklin Bobbitt…perceived curriculum as
    that series of things which children and youth must do and
    experience by way of developing abilities to do the things well that
    make up the affairs of adult life and to be in all respects what
    adults should be.
Hilda Taba
    All curricula, no matter what their particular design are composed
    of certain elements. A curriculum usually contains a statement of
    aims and of specific objectives; it indicates some selection and
    organization of content; in either implies or manifests certain
    patterns of learning and teaching, whether because the objectives
    demand or because the content organization requires them, finally
    in includes a program of evaluation of the outcomes.

31-Dec-12   Developing the Curriculum 4th Edition Peter F. Oliva           9
CURRICULUM
Robert M. Gagne
  Structured series of intended learning outcomes.




31-Dec-12                                                              10
            Developing the Curriculum   4th   Edition Peter F. Oliva
CURRICULUM
   The term „curriculum comes from the
   Latin word “currere” which means „race-
   course‟
   where the words „race‟ and „course‟ are
   suggestive of time and path respectively.




31-Dec-12     E: hamidpak@gmail.com C:+92-336-4853000   11
CURRICULUM
   The curriculum therefore can be seen
   as the prescribed course of study to
   be covered in a specific timeframe.




31-Dec-12     Mathematics Curriculum 2007   12
National Curriculum

   1) Course of Study
   2) Time Frame




31-Dec-12     E: hamidpak@gmail.com C:+92-336-4853000   13
COURSE OF STUDY




            HUMANITIES   LANGUAGES




                    SCIENCES



31-Dec-12                            14
TIME FRAME
    Time
    • 1 year
    • 2 years
    • 3 years
    • ……
    • …..



31-Dec-12                                                 15
                E: hamidpak@gmail.com C:+92-336-4853000
NATIONAL CURRICULUM



12 Years Education
 Program
Higher Secondary
 Education




 31-Dec-12                         16
Time: 10
                                                 minutes



• Draw the structure of curriculum




              E: hamidpak@gmail.com C:+92-336-
31-Dec-12                                                   17
                          4853000
GENERAL STRUCTURE OF NATIONAL
                     CURRICULUM

                        Course of Study


                    Major Learning Area


                          Competence


                          Benchmarks


                Student Learning Outcomes


31-Dec-12        E: hamidpak@gmail.com C:+92-336-4853000   18
STRUCTURE OF MATHEMATICS
                  CURRICULUM


                     Standards


                    Competencies


                    Benchmarks


              Student Learning Outcomes



31-Dec-12                                 19
GENERAL STRUCTURE OF NATIONAL
                         CURRICULUM

            Course of Study                                 Mathematics


       Major Learning Area                                       Standards


             Competence                                    Competencies


             Benchmarks                                     Benchmarks


 Student Learning Outcomes                      Student Learning Outcomes


31-Dec-12              E: hamidpak@gmail.com C:+92-336-4853000               20
IMPORTANT TERMS

        »   Developmental Levels
        »   Standards
        »   Competencies
        »   Benchmarks
        »   Student Learning Outcomes




31-Dec-12         E: hamidpak@gmail.com C:+92-336-4853000   21
DEVELOPMENTAL LEVELS

            Division of 12 years education
             in 5 levels

            Grouping of Grades

            Each Group is Consider as
             Developmental Level


31-Dec-12           E: hamidpak@gmail.com C:+92-336-4853000   22
FIVE DEVELOPMENTAL LEVELS

                                   Grade XI-XII

                                    Grade IX-X
                                     Grade VI-
                                        VIII
                                     Grade III-
                                         V


                                       Grade I
                                        & II



31-Dec-12   Ref. National Curriculum Document, Ministry of Education, Pakistan   23
STANDARDS

                                    S-1
                                  Numbers
                                    and
                                 Operations



                S-5
            Reasoning                                     S-2
            and Logical                                 Algebra
             Thinking
                                 Mathematics
                                  Standards




                       S-4                         S-3
                                               Measurement
                   Information                     and
                     Handling                   Geometry
31-Dec-12                                                         24
COMPETENCIES
• Define the STANDARD by specifying
  broadly the mathematical knowledge
  and skills needed to the students
  during twelve years education.
• A broad statement
Desired Learning Outcome

                   5: Grade XI-
                        XII

                  4: Grade IX-X

                   3: Grade VI-
                       VIII                                Competencies
                     2: Grade
                        III-V


                    1: Grade I
                       & II



31-Dec-12   Ref. National Curriculum Document, Ministry of Education, Pakistan   26
BENCHMARKS
• Benchmarks further elaborate the
  COMPETENCIES, indicating what the
  students will accomplish at the end of
  each five developmental levels.
Desired Learning Outcomes

                   5: Grade XI-XII


                    4: Grade IX-X


                  3: Grade VI-VIII

                     2: Grade III-                             Benchmarks
                          V



                      1: Grade I
                         & II




31-Dec-12   Ref. National Curriculum Document, Ministry of Education, Pakistan   28
STUDENT LEARNING OUTCOMES

     » These are built on the description of
       benchmarks, and describe what students will
       accomplish at the end of each grade.
     » Cumulative Student Learning Outcomes for a
       particular academic year specify what the
       students will be able to do at the end of the
       academic year.
     » SLOs are the incremental steps toward the
       accomplishment of benchmarks, which are
       organized around the standards.



31-Dec-12                                                   29
                  E: hamidpak@gmail.com C:+92-336-4853000
FRAMEWORK OF NATIONAL CURRICULUM
         MATHEMATICS       K
                       STANDARD




                     COMPETENCIES
                (It defines the standard)


                    BENCHMARKS
            (Benchmark further elaborate the
              competencies. A benchmark
           progresses through developmental
                        levels.)
            STUDENT LEARNING OUTCOMES
    (SLOs are built on the descriptions of benchmarks.
     Each benchmark has different number of student
                    learning outcomes.)
31-Dec-12   31
31-Dec-12   32
Maths Curriculum Includes
»   Standards
»   Benchmarks
»   Grade-wise Students’ Learning Outcomes
»   Teaching Strategies
»   Assessment and Evaluation
»   Teaching and Learning Resources




31-Dec-12        E: hamidpak@gmail.com C:+92-336-4853000   33
Who are the
  customers of
  Curriculum?
31-Dec-12   E: hamidpak@gmail.com C:+92-336-4853000   34
Student
Teachers
Test Item Developers
Writers of Textbooks
Lesson plans or teacher guide writers
School Management
Parents


31-Dec-12   E: hamidpak@gmail.com C:+92-336-4853000   35
Time: 20
                                                minutes


To check the students’ performance
Prepare a class test of 30 marks
according the curriculum document
Unit“ Numbers” grade 2




             E: hamidpak@gmail.com C:+92-336-
31-Dec-12                                                  36
                         4853000
Now it’s your turn
            Ask questions if any…..
31-Dec-12      E: hamidpak@gmail.com C:336-4853000   37
hamidpak@ gmail.com
C:0336 4853000

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Understanding the Structure of the National Mathematics Curriculum

  • 1. 1
  • 2. OBJECTIVES • Describe the structure of National Curriculum of Mathematics. • Differentiate the terms standard, competencies, ,Benchmarks and student learning outcomes. • Describe the importance of curriculum. 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 2
  • 3. Time Management » Intro and Group formation…. …10 minutes » National Curriculum Maths…… 40 minutes » Activities………………………….. 30 minutes » Questions………………………….10 minutes 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 3
  • 4. HISTORY The first National Curriculum was developed in 1975-76 . Which was further reviewed in 1984-85 and then in 1994-95. The next review took place in the years of 2000 and 2002. Last review of the National Curriculum was took place in 2006-2007 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 4
  • 5. HISTORY The main objective was to make the curriculum more vibrant and more responsive to the modern, socio- economic, technical, professional and labor market needs of the country. It was also targeted to make it comparable with international standards. 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 5
  • 6. Time: 5 minutes In your words the word curriculum is……………………………. 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 6
  • 7. CURRICULUM IS » which is taught in school » is a set of subjects » is content » is a program of studies » is a sequence of courses » is a set of performance objectives » is a course of study » is everything that goes on within the school, including extra-class activities, guidance and interpersonal relationships » is that which is taught both inside and outside the school directed by the school » Curriculum is everything that is planned by school personal » is all the experiences of learner both inside and outside the school » Curriculum is a series of experiences undergone by learners in school Developing the Curriculum 4th Edition Peter F.Oliva
  • 8. Curriculum can be conceived in a narrow way (as subjects taught) or in a broader way (as all the experiences both inside and outside of school) 8 31-Dec-12 Developing the Curriculum 4th Edition Peter F.Oliva
  • 9. CURRICULUM Franklin Bobbitt…perceived curriculum as that series of things which children and youth must do and experience by way of developing abilities to do the things well that make up the affairs of adult life and to be in all respects what adults should be. Hilda Taba All curricula, no matter what their particular design are composed of certain elements. A curriculum usually contains a statement of aims and of specific objectives; it indicates some selection and organization of content; in either implies or manifests certain patterns of learning and teaching, whether because the objectives demand or because the content organization requires them, finally in includes a program of evaluation of the outcomes. 31-Dec-12 Developing the Curriculum 4th Edition Peter F. Oliva 9
  • 10. CURRICULUM Robert M. Gagne Structured series of intended learning outcomes. 31-Dec-12 10 Developing the Curriculum 4th Edition Peter F. Oliva
  • 11. CURRICULUM The term „curriculum comes from the Latin word “currere” which means „race- course‟ where the words „race‟ and „course‟ are suggestive of time and path respectively. 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 11
  • 12. CURRICULUM The curriculum therefore can be seen as the prescribed course of study to be covered in a specific timeframe. 31-Dec-12 Mathematics Curriculum 2007 12
  • 13. National Curriculum 1) Course of Study 2) Time Frame 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 13
  • 14. COURSE OF STUDY HUMANITIES LANGUAGES SCIENCES 31-Dec-12 14
  • 15. TIME FRAME Time • 1 year • 2 years • 3 years • …… • ….. 31-Dec-12 15 E: hamidpak@gmail.com C:+92-336-4853000
  • 16. NATIONAL CURRICULUM 12 Years Education Program Higher Secondary Education 31-Dec-12 16
  • 17. Time: 10 minutes • Draw the structure of curriculum E: hamidpak@gmail.com C:+92-336- 31-Dec-12 17 4853000
  • 18. GENERAL STRUCTURE OF NATIONAL CURRICULUM Course of Study Major Learning Area Competence Benchmarks Student Learning Outcomes 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 18
  • 19. STRUCTURE OF MATHEMATICS CURRICULUM Standards Competencies Benchmarks Student Learning Outcomes 31-Dec-12 19
  • 20. GENERAL STRUCTURE OF NATIONAL CURRICULUM Course of Study Mathematics Major Learning Area Standards Competence Competencies Benchmarks Benchmarks Student Learning Outcomes Student Learning Outcomes 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 20
  • 21. IMPORTANT TERMS » Developmental Levels » Standards » Competencies » Benchmarks » Student Learning Outcomes 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 21
  • 22. DEVELOPMENTAL LEVELS Division of 12 years education in 5 levels Grouping of Grades Each Group is Consider as Developmental Level 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 22
  • 23. FIVE DEVELOPMENTAL LEVELS Grade XI-XII Grade IX-X Grade VI- VIII Grade III- V Grade I & II 31-Dec-12 Ref. National Curriculum Document, Ministry of Education, Pakistan 23
  • 24. STANDARDS S-1 Numbers and Operations S-5 Reasoning S-2 and Logical Algebra Thinking Mathematics Standards S-4 S-3 Measurement Information and Handling Geometry 31-Dec-12 24
  • 25. COMPETENCIES • Define the STANDARD by specifying broadly the mathematical knowledge and skills needed to the students during twelve years education. • A broad statement
  • 26. Desired Learning Outcome 5: Grade XI- XII 4: Grade IX-X 3: Grade VI- VIII Competencies 2: Grade III-V 1: Grade I & II 31-Dec-12 Ref. National Curriculum Document, Ministry of Education, Pakistan 26
  • 27. BENCHMARKS • Benchmarks further elaborate the COMPETENCIES, indicating what the students will accomplish at the end of each five developmental levels.
  • 28. Desired Learning Outcomes 5: Grade XI-XII 4: Grade IX-X 3: Grade VI-VIII 2: Grade III- Benchmarks V 1: Grade I & II 31-Dec-12 Ref. National Curriculum Document, Ministry of Education, Pakistan 28
  • 29. STUDENT LEARNING OUTCOMES » These are built on the description of benchmarks, and describe what students will accomplish at the end of each grade. » Cumulative Student Learning Outcomes for a particular academic year specify what the students will be able to do at the end of the academic year. » SLOs are the incremental steps toward the accomplishment of benchmarks, which are organized around the standards. 31-Dec-12 29 E: hamidpak@gmail.com C:+92-336-4853000
  • 30. FRAMEWORK OF NATIONAL CURRICULUM MATHEMATICS K STANDARD COMPETENCIES (It defines the standard) BENCHMARKS (Benchmark further elaborate the competencies. A benchmark progresses through developmental levels.) STUDENT LEARNING OUTCOMES (SLOs are built on the descriptions of benchmarks. Each benchmark has different number of student learning outcomes.)
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  • 32. 31-Dec-12 32
  • 33. Maths Curriculum Includes » Standards » Benchmarks » Grade-wise Students’ Learning Outcomes » Teaching Strategies » Assessment and Evaluation » Teaching and Learning Resources 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 33
  • 34. Who are the customers of Curriculum? 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 34
  • 35. Student Teachers Test Item Developers Writers of Textbooks Lesson plans or teacher guide writers School Management Parents 31-Dec-12 E: hamidpak@gmail.com C:+92-336-4853000 35
  • 36. Time: 20 minutes To check the students’ performance Prepare a class test of 30 marks according the curriculum document Unit“ Numbers” grade 2 E: hamidpak@gmail.com C:+92-336- 31-Dec-12 36 4853000
  • 37. Now it’s your turn Ask questions if any….. 31-Dec-12 E: hamidpak@gmail.com C:336-4853000 37