Kindergarten	
  Agenda	
  &	
  Goals	
  

•  Update	
  the	
  Training	
  &	
  Implementa7on	
  Plan	
  

•  Iden7fy	
  strategies	
  for	
  math	
  learning	
  difficul7es	
  
	
  
•  Explore	
  kindergarten	
  content,	
  pedagogy,	
  and	
  
     pacing	
  in	
  Math	
  in	
  Focus	
  
Math	
  Learning	
  Difficul7es	
  

1.  ESTIMATE	
  how	
  many	
  of	
  your	
  students	
  
    demonstrate	
  each	
  math	
  learning	
  difficulty	
  

2.  DISCUSS	
  which	
  learning	
  difficul7es	
  do	
  you	
  
    see	
  most	
  oKen?	
  
Strategies	
  for	
  
           Math	
  Learning	
  Difficul7es	
  

✭ the	
  strategies	
  that	
  you	
  associate	
  with	
  
       Singapore	
  Math	
  
	
  
Pedagogy:	
  C-­‐P-­‐A	
  
Jerome	
  Bruner’s	
  research	
  proved	
  that	
  instruc7onal	
  strategies	
  
build	
  understanding	
  for	
  students	
  when	
  they	
  move	
  from…	
  


	
  	
  
•  Concrete	
  (manipula7ves)	
  to	
  	
  
•  Pictorial	
  (visual	
  models	
  or	
  drawings)	
  to	
  
•  Abstract	
  representa7ons	
  (numbers,	
  symbols)	
  
Pedagogy:	
  Rela7onal	
  Understanding	
  

    Richard	
  Skemp’s	
  research	
  proved	
  that	
  for	
  long	
  term	
  learning	
  to	
  
    occur	
  rela(onal	
  understanding	
  is	
  more	
  successful	
  than	
  
    instrumental	
  learning.	
  

            Rela(onal	
  Understanding	
                       Instrumental	
  Understanding	
  
Conceptual	
                                          Procedural	
  
WHY	
  before	
  HOW	
                                How	
  
One	
  to	
  One	
  Correspondence	
                  Oral	
  Coun7ng	
  
Quan77es	
  and	
  Values	
                           Wri7ng	
  numbers,	
  Spelling	
  numbers	
  
Each	
  piece	
  RELATES	
  to	
  all	
  others	
     Isolated	
  steps	
  or	
  steps	
  without	
  meaning	
  
	
                                                    	
  
	
                                                    	
  
Reading	
  with	
  understanding	
                    Phone7c	
  or	
  word	
  calling	
  
Pedagogy:	
  Perceptual	
  Variability	
  
Zoltan	
  Diene’s	
  research	
  proved	
  that	
  children	
  gain	
  the	
  most	
  
conceptual	
  understanding	
  when	
  they	
  are	
  exposed	
  to	
  a	
  concept	
  
through	
  a	
  variety	
  of	
  materials	
  or	
  experiences.	
  

                           Perceptual	
  Variability	
  

                                                              ?
                      z!                      ;!
       p!       /!
                                      "

                                                  q!
Reflec7ng	
  On	
  Pedagogy	
  

Select	
  one	
  strategy	
  for	
  addressing	
  math	
  
learning	
  difficul7es.	
  	
  Discuss	
  how	
  it	
  connects	
  
to	
  Singapore	
  Math	
  Pedagogy…	
  
     v Concrete-­‐Pictorial-­‐Abstract	
  (Bruner)	
  
     v Rela7onal	
  Understanding	
  (Skemp)	
  
     v Mul7ple	
  Representa7ons	
  (Dienes)	
  
Kindergarten	
  Math	
  in	
  Focus	
  
Chap.	
  1:	
  Numbers	
  to	
  5	
                                                          15	
  Days	
      September	
  
Chap.	
  2:	
  Numbers	
  to	
  10	
                                                         17	
  Days	
        October	
  
Chap.	
  3:	
  Order	
  by	
  Size,	
  Length,	
  &	
  Weight	
                               8	
  Days	
       November	
  
Chap.	
  4:	
  Coun7ng	
  and	
  Numbers	
  0	
  to	
  10	
                                  16	
  Days	
       Nov.-­‐Dec.	
  
Chap.	
  5:	
  Size	
  and	
  Posi7on	
                                                       5	
  Days	
       December	
  
Chap.	
  6:	
  Numbers	
  0	
  to	
  20	
                                                    10	
  Days	
        January	
  
Chap.	
  7:	
  Solid	
  and	
  Flat	
  Shapes	
                                               5	
  Days	
        January	
  
Chap.	
  8:	
  Numbers	
  to	
  100	
  (includes	
  skip	
  coun7ng)	
                       15	
  Days	
     Jan.-­‐February	
  
Chap.	
  9:	
  Comparing	
  Sets	
                                                            9	
  Days	
      Feb.-­‐March	
  
Chap.	
  10:	
  Ordinal	
  Numbers	
                                                          6	
  Days	
         March	
  
Chap.	
  11:	
  Calendar	
  Pakerns	
                                                         4	
  Days	
        (March)	
  
Chap.	
  12:	
  Coun7ng	
  On	
  and	
  Coun7ng	
  Back	
                                     7	
  Days	
         March	
  
Chap.	
  13:	
  Pakerns	
                                                                     3	
  Days	
        (March)	
  
Chap.	
  14:	
  Number	
  Facts	
                                                            10	
  Days	
      March-­‐April	
  
Chap.	
  15:	
  	
  Length	
  &	
  Height	
                                                   5	
  Days	
          April	
  
Chap.	
  16:	
  Classifying	
  and	
  Sor7ng	
                                                5	
  Days	
          April	
  
Chap.	
  17:	
  Addi7on	
  Stories	
                                                          5	
  Days	
           May	
  
Chap.	
  18:	
  Subtrac7on	
  Stories	
                                                       7	
  Days	
           May	
  
Chap.	
  19:	
  Measurement	
                                                                 6	
  Days	
           May	
  
Chap.	
  20:	
  Money	
  (Coins)	
                                                            4	
  days	
           June	
  
Numbers	
  to	
  5	
  
Numbers	
  to	
  5	
  
Numbers	
  to	
  10	
  
Numbers	
  to	
  10	
  
Numbers	
  to	
  10	
  
Coun7ng	
  &	
  Numbers	
  O	
  to	
  10	
  
Coun7ng	
  &	
  Numbers	
  O	
  to	
  10	
  
Numbers	
  to	
  20	
  
Numbers	
  to	
  20	
  
Numbers	
  to	
  20	
  
Numbers	
  to	
  20	
  
Numbers	
  to	
  20	
  
Numbers	
  to	
  100	
  
Numbers	
  to	
  100	
  
Numbers	
  to	
  
  	
  100	
  
Numbers	
  to	
  
  	
  100	
  
Numbers	
  to	
  
  	
  100	
  
Number	
  
 Facts	
  
Number	
  
 Facts	
  
Kindergarten Sing Math Training II
Kindergarten Sing Math Training II
Kindergarten Sing Math Training II

Kindergarten Sing Math Training II

  • 1.
    Kindergarten  Agenda  &  Goals   •  Update  the  Training  &  Implementa7on  Plan   •  Iden7fy  strategies  for  math  learning  difficul7es     •  Explore  kindergarten  content,  pedagogy,  and   pacing  in  Math  in  Focus  
  • 2.
    Math  Learning  Difficul7es   1.  ESTIMATE  how  many  of  your  students   demonstrate  each  math  learning  difficulty   2.  DISCUSS  which  learning  difficul7es  do  you   see  most  oKen?  
  • 3.
    Strategies  for   Math  Learning  Difficul7es   ✭ the  strategies  that  you  associate  with   Singapore  Math    
  • 4.
    Pedagogy:  C-­‐P-­‐A   Jerome  Bruner’s  research  proved  that  instruc7onal  strategies   build  understanding  for  students  when  they  move  from…       •  Concrete  (manipula7ves)  to     •  Pictorial  (visual  models  or  drawings)  to   •  Abstract  representa7ons  (numbers,  symbols)  
  • 5.
    Pedagogy:  Rela7onal  Understanding   Richard  Skemp’s  research  proved  that  for  long  term  learning  to   occur  rela(onal  understanding  is  more  successful  than   instrumental  learning.   Rela(onal  Understanding   Instrumental  Understanding   Conceptual   Procedural   WHY  before  HOW   How   One  to  One  Correspondence   Oral  Coun7ng   Quan77es  and  Values   Wri7ng  numbers,  Spelling  numbers   Each  piece  RELATES  to  all  others   Isolated  steps  or  steps  without  meaning           Reading  with  understanding   Phone7c  or  word  calling  
  • 6.
    Pedagogy:  Perceptual  Variability   Zoltan  Diene’s  research  proved  that  children  gain  the  most   conceptual  understanding  when  they  are  exposed  to  a  concept   through  a  variety  of  materials  or  experiences.   Perceptual  Variability   ? z! ;! p! /! " q!
  • 7.
    Reflec7ng  On  Pedagogy   Select  one  strategy  for  addressing  math   learning  difficul7es.    Discuss  how  it  connects   to  Singapore  Math  Pedagogy…   v Concrete-­‐Pictorial-­‐Abstract  (Bruner)   v Rela7onal  Understanding  (Skemp)   v Mul7ple  Representa7ons  (Dienes)  
  • 8.
    Kindergarten  Math  in  Focus   Chap.  1:  Numbers  to  5   15  Days   September   Chap.  2:  Numbers  to  10   17  Days   October   Chap.  3:  Order  by  Size,  Length,  &  Weight   8  Days   November   Chap.  4:  Coun7ng  and  Numbers  0  to  10   16  Days   Nov.-­‐Dec.   Chap.  5:  Size  and  Posi7on   5  Days   December   Chap.  6:  Numbers  0  to  20   10  Days   January   Chap.  7:  Solid  and  Flat  Shapes   5  Days   January   Chap.  8:  Numbers  to  100  (includes  skip  coun7ng)   15  Days   Jan.-­‐February   Chap.  9:  Comparing  Sets   9  Days   Feb.-­‐March   Chap.  10:  Ordinal  Numbers   6  Days   March   Chap.  11:  Calendar  Pakerns   4  Days   (March)   Chap.  12:  Coun7ng  On  and  Coun7ng  Back   7  Days   March   Chap.  13:  Pakerns   3  Days   (March)   Chap.  14:  Number  Facts   10  Days   March-­‐April   Chap.  15:    Length  &  Height   5  Days   April   Chap.  16:  Classifying  and  Sor7ng   5  Days   April   Chap.  17:  Addi7on  Stories   5  Days   May   Chap.  18:  Subtrac7on  Stories   7  Days   May   Chap.  19:  Measurement   6  Days   May   Chap.  20:  Money  (Coins)   4  days   June  
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
    Coun7ng  &  Numbers  O  to  10  
  • 15.
    Coun7ng  &  Numbers  O  to  10  
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 30.
  • 34.