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Dr Yeap Ban Har                  Seminar on Numeracy
yeapbanhar@gmail.co
m
                                 18 July 2012
                                 Port Dickson, Malaysia
Seminar Outline
• Teaching
  Mathematics to
  Struggling
  Learners in the
  Early Grades
• Key Ideas in
  Early
  Mathematics

        Learning Support Programme in East Coast Primary School,
        Singapore
Dr Yeap Ban Har          Seminar on Numeracy
yeapbanhar@gmail.co
m
                         18 July 2012
                         Port Dickson, Malaysia
Seminar Outline
This          seminar
provides an overview
of the course that
participants will take
to help students in
lower primary levels
achieve at least basic
                                                  Special Needs Class in Elementary School
level of numeracy            Attached to Seoul National University of Education, Seoul, Korea
Introduction
OECD identifies the lowest levels for mathematical
literacy for 15-year olds as follows:




Examples of tasks for each level will be shown.
Example of Level 1 Task
Example of Level 2 Task
OECD identifies the lowest levels for mathematical
literacy for 15-year olds as follows:




Students who do not meet the basic numeracy
requirements as outlined in LINUS Programme are
unlikely to go beyond Level 2 when they are 15
years old.
This is the basic numeracy requirements as
outlined in LINUS Programme.
How to Help Struggling
      Students
Example 1

Put the 8 beans in two cups.
Do it in another way.
Example 1

Put the 8 beans in two cups.
Do it in another way.
Example 1

Put the 8 beans in two cups.
Do it in another way.
Example 1

Put the 8 beans in two cups.
Do it in another way.
Example 1
       Emphasise
    Number Bonds
  Number bonds is the
foundation for addition
      and subtraction
Example 1
               Emphasise
            Number Bonds
          Number bonds is the
        foundation for addition
              and subtraction
 71 – 8
60 11
Example 2

            9+7
Example 2

            9+7
Example 2

            9+7
Example 2

            9+7
Example 2
Use    the        CPA
Approach
Students use concrete
(C) materials when they
Example 3

            16 – 4
Example 3

            16 – 4
Example 3

            16 – 7
Example 3

            16 – 7
Example 3

            16 – 7
Example 3

            16 – 7
Example 3
Develop number sense by
using multiple strategies
Example 4

            51  3
Example 4

            51  3
Example 4

               51  3




          10
        3 51
          30
          21
Example 4

               51  3




          17
        3 51
          30
          21
Example 4

                   51  3




          1
        3 51
          3    !
          21
Example 4
Use alternate methods to
perform computations
Example 5

                        2x6

  
  
  

Use 2 x 6 to do 3 x 6
Example 5

                        2x6

  
  
  
  

Use 2 x 6 to do 4 x 6
Example 5

                        2x6

  
  
  
  
  
  
  
Use 2 x 6 and 5 x 6 to do 7 x 6
Example 5

Do 9 x 6

  
  
  
  
  
  
  
  
  
  
Example 6
   Emphasise the use of
       visuals / pictorial
        representations.
Also use patterns to help
Example 7




Open Lesson in Hawaii, USA
Mathematics Carnival at ICME-12, Seoul, Korea




                                                   Example 7
                                                Use games to
                                                learn number
                                                        facts.
Example 8

Use the digit cards 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9 to
make an addition sentence. The digits cannot be
repeated.



              +
Example 8
    Thinking is not after
learning. Make thinking an
 important part of learning.
   Mathematics is used for
Pathlight School, Singapore




                                       Example 9
                                     Small group
                                learning instead
                              of frontal teaching
Example 10

Make a story.

                Jack                    $3
                                 Jack
                   Kyla                 $2

                                 Kyla

             gave
                           more

          had
                          than
Example 10
      The model
   method helps
        students
represent stories
Dr Yeap Ban Har       Seminar on Numeracy
yeapbanhar@gmail.co
m
                      18 July 2012
                      Port Dickson, Malaysia
www.banhar.blogspot.com
Key Ideas in Early Mathematics
• Visualization
• Patterns
• Number Sense

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Seminar on Helping Struggling Students in Lower Primary

  • 1. Dr Yeap Ban Har Seminar on Numeracy yeapbanhar@gmail.co m 18 July 2012 Port Dickson, Malaysia Seminar Outline • Teaching Mathematics to Struggling Learners in the Early Grades • Key Ideas in Early Mathematics Learning Support Programme in East Coast Primary School, Singapore
  • 2. Dr Yeap Ban Har Seminar on Numeracy yeapbanhar@gmail.co m 18 July 2012 Port Dickson, Malaysia Seminar Outline This seminar provides an overview of the course that participants will take to help students in lower primary levels achieve at least basic Special Needs Class in Elementary School level of numeracy Attached to Seoul National University of Education, Seoul, Korea
  • 4. OECD identifies the lowest levels for mathematical literacy for 15-year olds as follows: Examples of tasks for each level will be shown.
  • 7. OECD identifies the lowest levels for mathematical literacy for 15-year olds as follows: Students who do not meet the basic numeracy requirements as outlined in LINUS Programme are unlikely to go beyond Level 2 when they are 15 years old.
  • 8. This is the basic numeracy requirements as outlined in LINUS Programme.
  • 9. How to Help Struggling Students
  • 10. Example 1 Put the 8 beans in two cups. Do it in another way.
  • 11. Example 1 Put the 8 beans in two cups. Do it in another way.
  • 12. Example 1 Put the 8 beans in two cups. Do it in another way.
  • 13. Example 1 Put the 8 beans in two cups. Do it in another way.
  • 14. Example 1 Emphasise Number Bonds Number bonds is the foundation for addition and subtraction
  • 15. Example 1 Emphasise Number Bonds Number bonds is the foundation for addition and subtraction 71 – 8 60 11
  • 16. Example 2 9+7
  • 17. Example 2 9+7
  • 18. Example 2 9+7
  • 19. Example 2 9+7
  • 20. Example 2 Use the CPA Approach Students use concrete (C) materials when they
  • 21. Example 3 16 – 4
  • 22. Example 3 16 – 4
  • 23. Example 3 16 – 7
  • 24. Example 3 16 – 7
  • 25. Example 3 16 – 7
  • 26. Example 3 16 – 7
  • 27. Example 3 Develop number sense by using multiple strategies
  • 28. Example 4 51  3
  • 29. Example 4 51  3
  • 30. Example 4 51  3 10 3 51 30 21
  • 31. Example 4 51  3 17 3 51 30 21
  • 32. Example 4 51  3 1 3 51 3 ! 21
  • 33. Example 4 Use alternate methods to perform computations
  • 34. Example 5 2x6    Use 2 x 6 to do 3 x 6
  • 35. Example 5 2x6     Use 2 x 6 to do 4 x 6
  • 36. Example 5 2x6        Use 2 x 6 and 5 x 6 to do 7 x 6
  • 37. Example 5 Do 9 x 6          
  • 38. Example 6 Emphasise the use of visuals / pictorial representations. Also use patterns to help
  • 39. Example 7 Open Lesson in Hawaii, USA
  • 40. Mathematics Carnival at ICME-12, Seoul, Korea Example 7 Use games to learn number facts.
  • 41. Example 8 Use the digit cards 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9 to make an addition sentence. The digits cannot be repeated. +
  • 42. Example 8 Thinking is not after learning. Make thinking an important part of learning. Mathematics is used for
  • 43. Pathlight School, Singapore Example 9 Small group learning instead of frontal teaching
  • 44. Example 10 Make a story. Jack $3 Jack Kyla $2 Kyla gave more had than
  • 45. Example 10 The model method helps students represent stories
  • 46. Dr Yeap Ban Har Seminar on Numeracy yeapbanhar@gmail.co m 18 July 2012 Port Dickson, Malaysia www.banhar.blogspot.com Key Ideas in Early Mathematics • Visualization • Patterns • Number Sense